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\noindent\begin{tabular}{ll}
Andrew J. Sommese& Department of Applied \& Computational Math.\ and Stat.\ (ACMS)\\
& University of Notre Dame Du Lac\\
&Notre Dame, Indiana 46556\ \ \ Office Ph. (574) 631--6498;\\%\ fax: (574) 631--6579 \\
email: sommese\hbox{\rm @}nd.edu&URL: www.nd.edu/$\sim$sommese
\end{tabular}
\begin{tabbing}
1992--1993 \ \ \ \ \ \ \=Max Planck Institut f\"ur Mathematik, Bonn, Germany\kill
\noindent{\bf Positions held}\\
2015--\> Chair, Department of ACMS\\
2014--2015\>Associate Chair, Department of ACMS\\
2011--2013\> Director of Undergraduate Studies, Department of ACMS\\
2010--2011\> Director of Graduate Studies, Department of ACMS\\
2005--2010\>Director, Center for Applied Mathematics, Univ.\ of Notre Dame\\
1994--\>Vincent J. and Annamarie Micus Duncan Professor of Mathematics\\
1988--1992\>Chair, Department of Mathematics, Univ.\ of Notre Dame\\
1987--1991\>Codirector, Center for Applied Mathematics, Univ.\ of Notre Dame\\
1983--\>Full Professor, Univ. of Notre Dame\\
1979--1983\>Associate Professor (with Tenure), Univ.\ of Notre Dame\\
1975--1979\>Assistant Professor, Cornell University, Ithaca, New York\\
1973--1975\>Josiah Willard Gibbs Instructor, Yale University, New Haven\\
\ \ \\
\noindent{\bf Education}\\
\medskip
1969--1972 \>Princeton University, Princeton, New Jersey\\
\> Ph.D. Mathematics, June 1973 (supported by NSF Graduate Fellowship)\\
1972--1973\> Harvard University, Cambridge, Massachusetts, Research Assistant\\
1966--1969\> Fordham University, Bronx, New York\\
\>B.A. Mathematics, June 1969, (attended on a full scholarship)\\
Summer 1968\> Indiana University, Bloomington, Indiana\\
\>NSF Summer Undergraduate Research Grant\\
\ \ \\
{\bf Consulting}\>General Motors Research Laboratories, Warren, Michigan \\
1986--1997\>Consulting on the solution of polynomial systems of equations.\\
\ \ \\
{\bf Editorships}\>1986--1993: Manuscripta Mathematica\\
\>2000--2015: Advances in Geometry\ \ \\
\>2001--\ \ \ \ \ \ : Milan Journal of Mathematics\ \ \\
\>2011--2015: Journal of Algebra and its Applications
\end{tabbing}
\begin{tabbing}
1992--1993 \ \ \ \ \ \=Max Planck Institut f\"ur Mathematik, Bonn, Germany\kill
\noindent{\bf National and International Honors}\\
\> Serving on NSF Review Panels\\
1979\> Alfred P. Sloan Research Fellowship \\
1993\>Alexander von Humboldt Research Award
for Senior U.S. Scientists\\
2010\>International Deutsche Forschungsgemeinschaft Review Panel\\
\>\ Priority Programme SPP 1489/1 (Lambrecht, February 10-11) on\\
\>\ {\em Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory}.\\
2011\> 2010 General Motors R \& D Most Valued Colleague Award.\\
2012\>Fellow of the American Mathematical Society\\
2013\>International Deutsche Forschungsgemeinschaft Review Panel\\
\>\ Priority Programme SPP 1489/2 (Lambrecht, January 29-31) on\\
\>\ {\em Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory}.
\end{tabbing}
\newpage
\begin{tabbing}
1992--1993 \ \ \ \ \ \ \ \ \=Max Planck Institut f\"ur Mathematik, Bonn, Germany\kill
\noindent{\bf Other Honors}:\\
1997\>University of Notre Dame Presidential Award \\
2009--2013\>Member of Advisory Board for the SIAM Activity Group in Algebraic Geometry\\
\ \ \\
\noindent{\bf Recent Research Support}: \\
2015-2016\>NSF DMS 1547743 \$19,020 (PI J. Hauenstein \\
\> \ \ \ \ with co-PIs D. Brake, A. Sommese, and C. Wampler).\\
\> \ \ Workshop on Software and Applications of Numerical Algebraic Geometry.\\
2014-2017\>NSF ACI-1440607 \$199,847 (PI A. Sommese; co-PIs B. Hu and C. Wampler)\\
\> \ \ SI2-SSE: Collaborative Proposal: Symbolic-Numeric Approaches to Polynomials.\\
2012-2013\>DARPA/AFRL Grant G-2457-2: Air Force Office of Scientific Research:\\% FA8650-13-1-7317:\\
\> \ \ Real Numerical Algebraic Geometry: Finding
all Real Solutions of a Polynomial\\
\> \ \ System (\$394,583 with CSU [D.J. Bates] lead \\
\> \ \ \ with Notre Dame PI A. Sommese \$105,688)\\
2011-2012\> NSF DMS 1115453 \$20,000 (PI J. Powers with co-PI A. Sommese):\\
\> \ \ Workshop on Verification and Validation in Computational Science;\\
\> \ \ Fall 2011; Notre Dame, IN\\
2009-2010\> NSF DMS 0902504 \$20,000 (PI J. Powers with co-PI A. Sommese):\\
\> \ \ Workshop for Model Reduction in Reactive Flows;\\
\> \ \ Spring 2009; Notre Dame, IN\\
2007-2011\>NSF DMS-0712910 \$359,999 (PI A. Sommese with co-PI C. Wampler)\\
\>Numerical Algebraic Geometry: Computation of Exceptional Parameter
Values.\\
2007-2010\>NSF CBET 0650843 \$299,998 (PI J. Powers with co-PIs S. Paoluci and A. Sommese)\\
\>Slow Invariant Manifolds for Spatially Homogeneous and Inhomogeneous\\
\>\ \ Combustion Systems with
Detailed Kinetics\\
2004-2009\>NSF DMS 0410047 \$302,729 (PI A. Sommese with co-PI C. Wampler) \\
\>Collaborative Research : Numerical Algorithms and Software for\\
\> Solving Polynomial Systems with Parameters.\\
2005-2006\> NSF DMS 0509873 \$16,650 (PI S. Tavener\\
\> \ \ with co-PIs D. Estep, C. Peterson and A. Sommese)\\
\>Workshop on Geometry and Symmetry in Numerical Computation\\
2001-2005\>NSF DMS 0105653 \$179,965 (PI A. Sommese) \\
\>Collaborative Research : Numerical Algorithms and Software for\\
\> Decomposing Solution Sets of Polynomial Systems\\
\end{tabbing}
\begin{tabbing}
1992--1993 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \=Max Planck Institut f\"ur Mathematik, Bonn, Germany\kill
\noindent{\bf Research Stays at Mathematics Institutes}\\
Aug. 1 to Oct. 31, 2013\>Colorado State University, Fort Collins\\
May 15 to June 15, 2011\>Mittag-Leffler Institute, Stockholm, Sweden\\
June 2008\> KTH, Stockholm, Sweden\\
June 2007\> University of Milan, Italy\\
May/June 2007\> Eidgen\"ossische Technische Hochschule Z\"urich (ETH), Switzerland\\
Mar/Apr 2007\>Colorado State University, Fort Collins\\
Fall 2006\> Institute for Mathematics and Its Applications (IMA), Minnesota\\
July 2004\> RiP Program\\
\> Mathematisches Forschungsinstitut Oberwolfach, Germany\\
June/July 2001\> RiP Program\\
\> Mathematisches Forschungsinstitut Oberwolfach, Germany\\
June 2001\>University of Bayreuth, Germany\\
May 2001\>University of Milan, Italy \\
May 2001\>University of Genova, Italy \\
Spring 2000\>Mathematical Sciences Research Institute, Berkeley\\
Fall 1999\> Colorado State University, Fort Collins\\
June 1999\>KTH (Royal Institute of Technology), Stockholm, Sweden\\
June 1998\>Max Planck Institut f\"ur Mathematik, Bonn, Germany\\
May 1998\>University of Bayreuth, Germany\\
August 1997\> RiP Program\\
\> Mathematisches Forschungsinstitut Oberwolfach, Germany\\
July 1997\>University of Bayreuth, Germany\\
June 1996\> RiP Program\\
\> Mathematisches Forschungsinstitut Oberwolfach, Germany\\
May 96\>University of Bayreuth, Germany\\
June/July 1995 \>Sonderforschungsbereich 170\\
\>Mathematics Institute, University of G\"ottingen, Germany\\
June/July 1994 \>University of Bayreuth, Germany\\
1992--1993\> Max Planck Institut f\"ur Mathematik, Bonn, Germany\\
September 1992 \>University of Bayreuth, Germany\\
July 1992 \>Sonderforschungsbereich 170\\
\>Mathematics Institute, University of G\"ottingen, Germany\\
October, 1991\>University of Bayreuth, Germany\\
July 1991\>Max Planck Institut f\"ur Mathematik, Bonn, Germany\\
August 1988\>General Motors Research Laboratories, Warren, Michigan \\
\>Visiting Consultant\\
June/July 1988\> University of Bayreuth, Germany; Guest Professor \\
Fall 1987\>Max Planck Institut f\"ur Mathematik, Bonn, Germany\\
June 1986\>University of Genova, Italy \\
1984--1985\>Max Planck Institut f\"ur Mathematik, Bonn, Germany\\
June 1983\>Max Planck Institut f\"ur Mathematik, Bonn, Germany\\
1978--1979\>Sonderforschungsbereich Theoretische Mathematik\\
\>University of Bonn, Germany; Guest Professor\\
Sept 1978\>University of Trento, Italy \\
July 1977\>University of G\"ottingen, Germany; Guest Professor \\
1975--1976\>Institute for Advanced Study, Princeton, New Jersey
\end{tabbing}
\begin{tabbing}
1992--1993 \ \ \ \ \=Max Planck Institut f\"ur Mathematik, Bonn, Germany\kill
\noindent{\bf University Committees since 1992}\\
\medskip
2015\> Clare Boothe Luce Committee\\
2014\> Bitcoin Committee\\
2013\>Notebaert Committee\\
2012--2013\>Chair, Committee for the Five-Year Review of the Dean of the College of Science\\
2012--2013\>Multi-disciplinary Research Committee\\
2009--2013\>Advisory Committee for the Center for Research Computing (CRC)\\
2008--2011\>Hesburgh Library Renovation Committee\\
2008--2010\>Member, Director of the Libraries' Five-Year Review Committee\\
2006--2008\>Ad Hoc University Committee on Statistics\\
2004--2011\>University Committee on Libraries\\
\> \ \ \ \ Chair for 2007--2008.\\
2002--2005\> Member, College Council of the College of Science\\
2000--2010\>Member, Executive Committee of the Center for Applied Mathematics\\
2000--2003\>Member, University Committee on Intellectual Property\\
2000--2001\>Member of the Graduate Council\\
1995--1998\> Member of the Provost's Advisory Committee\\
1996\>PAC Subcommittee on Tenure and Promotion\\
1995--1997\> Member, Executive Committee of the Academic Council\\
1995--1997\> Chair, Graduate Affairs Committee of the Academic Council\\
1995\> Member, Search Committee for Director of the {\em Kaneb Teaching and Learning Center}\\
1995\> Member, Search Committee for Provost\\
1994--1997\> Member of the Academic Council\\
1994--1995\> Member, Search Committee for Assistant Provost for International Studies\\
1994 \>Chair of Committee evaluating Internal Review Procedures\\
1994\> Member of the Faculty Senate (ex officio represenative from Acad. Council)\\
1993--1995\>Graduate Council\\
1992\>Member of the Review Committee of the EE department\\
\end{tabbing}
%\newpage%\vspace*{-0.2in}
\noindent{\bf Ph.D. Theses and Fellowship Research
completed under A.J. Sommese}
\begin{enumerate}
\item[T1] Norman Goldstein, On general manifold sections of submanifolds of
homogeneous complex manifolds, Cornell University, August 1979.
About 1/2 of this thesis appeared in:\\ {\small A second
Lefschetz theorem for general manifold sections of complex
projective space, Math.\ Ann.\ 246 (1979), 41--68.}
\item[T2] Daniel Gross, On compact categorical quotients by torus actions,
University of Notre Dame, June 1982. Results of this thesis
appeared in:\\ {\small Compact quotients by C* actions,
Pacific J. Math.\ 114 (1984), 149--164.}
\item[T3] Harry D Souza, Classification of threefolds whose hyperplane sections are
elliptic surfaces, University of Notre Dame, June 1983. Results of
this thesis appeared in:\\ {\small Threefolds whose
hyperplane sections are elliptic surfaces, Pac.\ J. Math. 134
(1988), 57--78.}
\item[T4] Elvira L. Livorni, Classification of algebraic surfaces with
sectional genus less than or equal to six, University of Notre
Dame, August 1983. Results of this thesis appeared in:\\
{\small Classification of algebraic surfaces with sectional
genus less than or equal to six, I : Rational surfaces, Pacific J.
of Math.\ 113 (1984), 93--114; II: Ruled surfaces with
$\dim\phi_{K_S\otimes L}(S)=1$, Canad. Math.\ J. 38 (1986); III :
Ruled surfaces with $\dim\phi_{K_S\otimes L}(S)=2$, Math.\ Scand.\
59 (1986), 9--29.
Classification of algebraic non-ruled surfaces with sectional genus less than
or equal to six, Nagoya Math.\ J. 100 (1985), 1--9.}
\item[T5] Maria L. Fania, Extensions of modifications of ample divisors on
fourfolds, University of Notre Dame Thesis, May 1984. Results of
this thesis appeared in:\\ {\small Extensions of
modifications of ample divisors on fourfolds, J. Math.\ Soc.\
Japan 36 (1984), 107--120;
II, J. Math.\ Soc.\
Japan 38 (1986), 285--294.}
\item[T6] Marco Andreatta, spent the 1985/86 academic year on an Italian
Government Graduate Fellowship studying hyperplane section theory
at the University of Notre Dame. Though he did not write a Ph.D.
Thesis at Notre Dame, results of his work during the year on the
problem Sommese gave him are published in: \\ {\small The
stable adjunction mapping, Math.\ Ann.\ 275 (1986), 305--315.}
\item[T7] Jaroslaw A. Wi\'sniewski, Length of extremal rays and applications,
University of Notre Dame, August 1987. Results of this thesis
appeared in:\\ {\small Length of Extremal rays and
generalized adjunction, Math.\ Z. 200 (1989), 409--427.}
\item[T8] Gian Mario Besana, The geometry of conic bundles arising in
adjunction theory, University of Notre Dame, May 1992. Results of
this thesis appear in:\\ {\small On the geometry of conic
bundles arising in adjunction theory, Math.\ Nachr. 160 (1993),
223--251.}
\item[T9] Shu Nakamura, The classification of the third reductions
with a spectral value condition, University of Notre Dame, August
1995. Results of this thesis appeared in:\\ {\small On
the third adjoint contractions, J. Reine Angew.\ Math. 467
(1995), 51--65.
On the classification of the third reductions with a spectral
value condition, J. Math.\ Soc.\ Japan 49 (1997), 633--646.}
\item[T10] Mark Andrea De Cataldo, Codimension two subvarieties of quadrics,
University of Notre Dame, August 1995. Results of this thesis
appear in:\\ {\small The genus of curves on the three
dimensional quadric, Nagoya Math.\ J. 147 (1997), 193--211.
Some adjunction-theoretic properties of codimension two
nonsingular subvarieties of quadrics, Canad.\ J. Math. 49 (1997),
675--695.
A finiteness theorem for low-codimensional nonsingular
subvarieties of quadrics, Trans.\ Amer.\ Math.\ Soc.\ 349 (1997),
2359--2370.
Codimension two nonsingular subvarieties of quadrics: scrolls and
classification in degree $d\leq 10$, J. Math.\ Soc.\ Japan 50
(1998), 879--902}
\item[T11] Sandra Di Rocco, On higher order embeddings of surfaces,
University of Notre Dame, May 1996.
Results of this thesis appear in:\\
{\small Projective surfaces with $k$-very ample line
bundles of genus$\leq 3k+1$, Manuscr.\ Math. 91 (1996), 35--59.
$k$-very ample line bundles on Del Pezzo
surfaces, Math.\ Nachr. 179 (1996), 47--56. }
\item[T12] Meeyoung Kim, Barth-Lefschetz type theorem for branched coverings of
homogeneous spaces, University of Notre Dame, August 1996. Results
of this thesis appear in:\\ {\small Barth-Lefschetz type
theorem for branched coverings of Grassmannians, J. Reine
Angew.\ Math.\ 470 (1996), 109--122.
On branched coverings of Quadrics, Arch.\ Math. 67 (1996), 76--79.}
\item[T13] Daniel J. Bates, Theory and applications in numerical
algebraic geometry, University of Notre Dame, May 2006. Results
of this thesis appear in:\\
{\small (with E.L. Allgower, A.J. Sommese, and C.W. Wampler),
Solution of Polynomial systems derived from differential equations,
Computing, 76 (2006), 1--10.
(with C. Peterson and A.J. Sommese), A numerical-symbolic algorithm
for computing the multiplicity of a component of an algebraic set,
Journal of Complexity 22 (2006), 475--489.
(with J.D. Hauenstein, A.J. Sommese, and C.W. Wampler), Adaptive multiprecision path tracking,
SIAM Journal on Numerical Analysis 46 (2008) 722--746. }
\item[T14] Ye Lu, Finding all real solutions of polynomial systems, University of Notre Dame,
August 2006. Results
of this thesis appear in:\\
{\small (with D.J. Bates, A.J. Sommese, and C.W. Wampler),
Finding all real points of a complex curve, Contemporary
Mathematics 448 (2007), 183--205.}
\item[T15] Jonathan D. Hauenstein, Regeneration, local dimension, and applications in
numerical algebraic geometry, University of Notre Dame, May 2009. Results
of this thesis appear in:\\
{\small (with A.J. Sommese and C.W. Wampler),
Regeneration Homotopies for Solving Systems of Polynomials, {\em Mathematics of Computation}, 80 (2011) 345--377.
(with D.J. Bates, C. Peterson, and A.J. Sommese), A numerical local dimension test for points on the
solution set of a system of polynomial equations,
{\em SIAM Journal on Numerical Analysis}, 47 (2009), 3608--3623.}
\item[T16] Wenrui Hao, Homotopy method for nonlinear partial differential equation
systems, University of Notre Dame, August 2013. Results
of this thesis appear in several articles including:\\
{\small (with J.D. Hauenstein, B. Hu,
and A.J. Sommese), A bootstrapping approach for computing multiple solutions of differential equations, Journal of Computational and Applied Mathematics, 258 (2014) 181--190.
(with J.D. Hauenstein, B. Hu, Y. Liu,
A.J. Sommese, and
Y.-T. Zhang) Continuation along bifurcation branches for a
tumor model with a necrotic core, {\em Journal of Scientific Computing}, 53 (2012), 395--413: available online \url{dx.doi.org/10.1007/s10915-012-9575-x}.
(with J.D. Hauenstein, B. Hu, T. McCoy,
and A.J. Sommese),
Computing steady-state solutions
for a free boundary problem modeling tumor growth by Stokes equation,
{\em Journal of Computational and Applied Mathematics}, 237 (2013), 326--334: available online from Sept. 2012 at\\ \url{dx.doi.org/10.1016/j.cam.2012.06.001}.
(with J.D. Hauenstein, C.-W. Shu, A.J. Sommese, Z. Xu, Y.-T.
Zhang) A homotopy method based on WENO schemes for solving steady state problems of
hyperbolic conservation laws, {\em Journal of Computational Physics}, 250 (2013), 332--346:
available online at
\url{dx.doi.org/10.1016/j.jcp.2013.05.008}.
(with B. Hu
and A.J. Sommese) Cell cycle control
and bifurcation for a free boundary problem modeling
tissue growth, Journal of Scientific Computing, 56 (2013), 350--365, online at\\
\url{dx.doi.org/10.1007/s10915-012-9678-4}.}
\item[T17] Timothy McCoy, Mesh-expanding homotopies and numerical irreducible
decomposition over a number field, University of Notre Dame, August 2014.
\end{enumerate}
\noindent{\em Current Ph.D. Student}:
Francesco Pancaldi.
\medskip
\begin{thebibliography}{1948}
\hbox{\hspace{1.9in} \bf Books and Monographs}
\bibitem{So1} B. Shiffman and A.J. Sommese,
{\em Vanishing theorems on complex manifolds},
Progress in Mathematics, 56 (1985), 170+xiii pages,
Birkh\"auser, Boston.
\bibitem{So4} M. Beltrametti and A.J. Sommese, {\em The adjunction theory
of complex projective varieties}, Expositions in Mathematics, 16 (1995),
398+xxi pages, Walter De Gruyter, Berlin. (1995 CHOICE Award for Outstanding
Academic Book.)
\bibitem{So5} M. Beltrametti, M. Schneider, and A.J. Sommese, {\em Special
properties of the adjunction theory for $3$-folds in ${\mathbb P}^5$},
Memoirs of the American Mathematical Society, Number 554 (1995),
63+viii pages, American Mathematical Society, Providence, Rhode Island.
\bibitem{So163} A.J. Sommese and C.W. Wampler, {\em
Numerical solution of systems of polynomials arising in
engineering and science}, (2005), 401+xxii pages, World Scientific Press, Singapore.
\bibitem{So212}D.J. Bates, J.D. Hauenstein, A.J. Sommese, and C.W. Wampler, {\em
Numerically solving polynomial systems with Bertini}, (2013), SIAM.
\bigskip%\newpage%
\hbox{\hspace{1.9in} \bf Edited Volumes}
\bibitem{So2} A.J. Sommese, A. Biancofiore, and E.L. Livorni (editors),
{\em Algebraic geometry : Proceedings of the international
conference held in L'Aquila, Italy, May 30-June 4, 1988},
Lect.\ Notes in Math.\ 1417 (1990), 319 pages, Springer Verlag,
Berlin \& New York.
\bibitem{So3} C. Ciliberto, E.L. Livorni, and A.J. Sommese (editors),
{\em Classification of algebraic varieties, L'Aquila, Italy, 1992},
Contemporary Math.\ 162 (1994), 410+xx pages,
American Mathematical Society, Providence,~R.I.
\bibitem{So177} A. Dickenstein, F.-O. Schreyer, and A.J. Sommese,
(editors), {\em Algorithms in Algebraic Geometry}, volume~146 of
{\em IMA Volumes in Mathematics and Its Applications}, 2007,
Springer Verlag.
\bigskip%\newpage%
\hbox{\hspace{1.9in} \bf Software}
\bibitem{BHSW06}
D.J. Bates, J.D. Hauenstein, A.J. Sommese,
and C.W. Wampler.
\newblock Bertini: Software for Numerical Algebraic Geometry.
\newblock Available at \url{bertini.nd.edu}
with permanent doi \url{dx.doi.org/10.7274/R0H41PB5}.
\bigskip%\newpage
\hbox{\hspace{1.9in} \bf Articles}
\medskip
\hbox{\hspace{2.5in} \em 1973}
\bibitem{So6} A.J. Sommese, Algebraic properties of the period mapping,
Ph.\ D. Thesis, Princeton University, June 1973.
\bibitem{So7} A.J. Sommese, Some algebraic properties of the image of
the period mapping, Rice University Study (2) 59 (1973), 123--128.
\bibitem{So8} A.J. Sommese, Borel s fixed point theorem for Kaehler
manifolds and an application, Proc.\ Amer.\ Math.\ Soc.\ 41 (1973), 51--54.
\bigskip
\hbox{\hspace{2.5in} \em 1974}
\bibitem{So9} A.J. Sommese, Reversing the Ahlfors estimate, Proc. A. M. S.
45 (1974), 242--244.
\bibitem{So10} A.J. Sommese, Holomorphic vector-fields on compact Kaehler
manifolds, Math.\ Ann.\ 210 (1974), 75--82.
\bigskip
\hbox{\hspace{2.5in} \em 1975}
\bibitem{So11} A.J. Sommese, Criteria for quasi-projectivity,
Math.\ Ann.\ 217 (1975), 107--116.
\bibitem{So12} A.J. Sommese, Extension theorems for reductive
group actions on compact Kaehler manifolds, Math.\ Ann.\ 218
(1975), 107--116; research notice with same title, Bull. A.M.S.
81 (1975), 729--732.
\bibitem{So13} A.J. Sommese, Quaternionic manifolds,
Math.\ Ann.\ 212 (1975),~191--214.
\bibitem{So14} A.J. Sommese, A representable functor theorem
for compact complex spaces, Proc.\ Amer.\ Math.\ Soc.\ 52 (1975), 11--17.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1976}
\bibitem{So15} A.J. Sommese, Addendum to Criteria
for quasi--projectivity, Math.\ Ann.\ 221 (1976), 95--96.
\bibitem{So16} A.J. Sommese, On manifolds that cannot
be ample divisors, Math.\ Ann.\ 221 (1976), 55--72.
\newpage%\bigskip
\hbox{\hspace{2.5in} \em 1977}
\bibitem{So122} A.J. Sommese, On ample divisors,
Proc.\ Symp.\ Pure Math.\ 30 (1977), 289--292.
\bibitem{So17} A.J. Sommese, Theorems of Barth-Lefschetz type for
homogeneous complex manifolds, Proc.\ Nat.\ Acad.\ Sci.\ 74 (1977), 1332--1333.
\bibitem{So18} A.J. Sommese, Real algebraic spaces, Ann.\ Scuola
Norm.\ Sup.\ Pisa Cl.\ Sci.\ Ser. (4) 4 (1977), 599--612.
\bibitem{So121} A.J. Sommese, On the holomorphic jet bundles,
Proc.\ Symp.\ Pure Math.\ 30 (1977), 49--52.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1978}
\bibitem{So19} A.J. Sommese, On the rationality of the period mapping,
Ann.\ Scuola Norm.\ Sup.\ Pisa Cl.\ Sci.\ Ser. (4) 4 (1978), 683--717.
\bibitem{So20} A.J. Sommese, Compact complex manifolds possessing a line
bundle with a trivial jet bundle, Abh. Math.\ Sem. University\
Hamburg, 47 (1978), 79--91.
\bibitem{So21} A.J. Sommese, Submanifolds of Abelian varieties,
Math.\ Ann.\ 233 (1978), 229--256.
\bibitem{So22} A.J. Sommese, Concavity theorems, Math.\ Ann.\
235 (1978), 37--53.
\bibitem{So23} J. Carrell and A.J. Sommese, C* actions, Math.\ Scand.\
43 (1978), 49--59. [correction to Math.\ Scand.\ 53 (1983), 32].
\bigskip
\hbox{\hspace{2.5in} \em 1979}
\bibitem{So24} A.J. Sommese, Hyperplane sections of projective surfaces,
I: The adjunction mapping, Duke Math.\ J. 46 (1979), 377--401.
\bibitem{So25} A.J. Sommese, Non-smoothable varieties,
Comment.\ Math.\ Helv.\ 54 (1979), 140--146.
\bibitem{So26} A.J. Sommese, Complex subspaces of homogeneous
complex manifolds I: Transplanting theorems, Duke Math.\ J. 46 (1979), 527--548.
\bibitem{So27} J. Carrell and A.J. Sommese, Some topological aspects
of $C^*$ actions on compact Kaehler manifolds, Comment.\ Math.\ Helv.\ 54 (1979), 567--582.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1981}
\bibitem{So28} A.J. Sommese, Hyperplane sections, Springer Lect.\
Notes in Math. 862 (1981), 232--271.
\bibitem{So29} A. Howard and A.J. Sommese, On the orders of the
automorphism groups of certain projective manifolds, in honor of
Yozo Matsushima, ed. by Hano, A. Morimoto, S. Murakami, K. Ozeki, Progress
in Mathematics, Birkh\"auser, 14 (1981), 145--158.
\bibitem{So30} A.J. Sommese, On the minimality of hyperplane sections of
projective threefolds, J. Reine Angew.\ Math.\ 329 (1981), 16--41.
\bigskip
\hbox{\hspace{2.5in} \em 1982}
\bibitem{So31} A.J. Sommese, Complex subspaces of homogeneous complex
manifolds II - Homotopy results, Nagoya Math.\ J. 86 (1982), 101--129.
\bibitem{So32} A.J. Sommese, Ample divisors on $3$-folds,
Algebraic $3$-folds (Proceedings Varenna 1981), Springer Lect.\
Notes in Math. 947 (1982),
229--240.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1983}
\bibitem{So33} J. Carrell and A.J. Sommese, $SL(2,C)$ actions on
compact Kaehler manifolds, Trans.\ Amer.\ Math.\ Soc.\ 276 (1983), 165--179.
\bibitem{So34} J. Carrell and A.J. Sommese, A generalization of a
theorem of Horrocks, Proceedings Vancouver 1981, Springer Lect.\
Notes in Math. 956 (1983), 23--28.
\bibitem{So35} J. Carrell and A.J. Sommese, Almost homogeneous $C^*$
actions on compact complex surfaces, Proceedings Vancouver 1981, Springer Lect.\
Notes in Math. 956 (1983), 29--33.
\bibitem{So36} A.J. Sommese, Some examples of $C^*$ actions, Proceedings
Vancouver 1981, Springer Lect.\ Notes in Math. 956 (1983), 118--124.
\bibitem{So37} A.J. Sommese, A convexity theorem, Proceedings of Symposia
in Pure Math.\ 40 (1983), Part 2, 497--505.
\bibitem{So38} E. Akyldiz, J. Carrell, D. I. Lieberman and A.J. Sommese, On
the graded rings associated to holomorphic vector fields with exactly one
zero, Proceedings of Symposia in Pure Math.\ 40 (1983), Part 1, 55--56.
\bibitem{So39} A. Bialynicki-Birula and A.J. Sommese, Quotients by $C^*$ and
SL$(2,C)$ actions, Trans.\ Amer.\ Math.\ Soc.\ 279 (1983), 519--543.
\bibitem{So40} A.J. Sommese, Configurations of $-2$ rational curves on hyperplane
sections of projective threefolds, Classification of algebraic and analytic
manifolds, edited by K. Ueno, Progress in Mathematics, Birkh\"auser, 39 (1983), 465--497.
\bibitem{So41} J. Carrell and A.J. Sommese, Filtrations of meromorphic $C^*$
actions on complex manifolds, Math.\ Scand.\ 53 (1983), 25--31.
\bibitem{So42} A. Howard and A.J. Sommese, On the theorem of de Franchis,
Ann.\ Scuola Norm.\ Sup.\ Pisa Cl.\ Sci.\ Ser. (4) 10 (1983), 429--436.
\medskip%\newpage%
\hbox{\hspace{2.5in} \em 1984}
\bibitem{So43} A.J. Sommese, On the density of ratios of Chern numbers
of algebraic surfaces, Math.\ Ann.\ 268 (1984), 207--221.
\bibitem{So44} B. Smyth and A.J. Sommese, The degree of the Gauss mapping
of submanifolds of Abelian varieties, Comment.\ Math.\ Helv.\ 59 (1984), 341--346.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1985}
\bibitem{So45} B. Shiffman and A.J. Sommese, Vanishing theorems for weakly
positive vector bundles, Pitman Research Notes 112 (1985), 61--68.
\bibitem{So46} A. Bialynicki-Birula and A.J. Sommese, Quotients by
$C^*\times C^*$ actions, Trans.\ Amer.\ Math.\ Soc.\ 289 (1985), 519--543.
\bibitem{So47} J. Lipman and A.J. Sommese, On blowing down projective
spaces in singular varieties, J. Reine Angew.\ Math.\ 362 (1985), 52--62.
\bibitem{So48} A.J. Sommese, Ample divisors on normal Gorenstein
surfaces, Abh. Math.\ Sem. University\ Hamburg 55 (1985), 151--170.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1986}
\bibitem{So49} A.J. Sommese and A. Van de Ven, Homotopy groups of
pullbacks of varieties, Nagoya Math.\ J. 102 (1986), 79--90.
\bibitem{So50} A.J. Sommese, On the adjunction theoretic structure
of projective varieties, in {\em Proceedings of the Complex analysis and
algebraic geometry conference}, ed.\ by H. Grauert, G\"ottingen, 1985,
Springer Lect.\ Notes in Math. 1194 (1986), 175--213.
\bibitem{So51} M. L. Fania and A.J. Sommese, On the minimality of
hyperplane sections of Gorenstein threefolds, Contributions to
several complex variables, ed. by A. Howard and P.M. Wong, Aspects of
Math.\ E9 (1986), 89--114, Vieweg.
\bibitem{So52} E. L. Livorni and A.J. Sommese, Threefolds of nonnegative
Kodaira dimension with sectional genus less than or equal to $15$,
Ann.\ Scuola Norm.\ Sup.\ Pisa Cl.\ Sci.\ Ser. (4) 13 (1986), 537--558.
\bibitem{So53} A.J. Sommese, Ample divisors on Gorenstein varieties,
Revue de l'Institut E. Cartan, Nancy, 10 (1986) Journel Complexe 1985.
\bibitem{So54} A. Bialynicki-Birula and A.J. Sommese, A conjecture about
compact quotients by tori, Complex Analytic Singularities, ed. by
T. Suwa and P. Wagreich, Advanced Stud.\ in Pure Math.\ 8 (1986),
59--68, Kinokuniya.
\bigskip
\hbox{\hspace{2.5in} \em 1987}
\bibitem{So57} A. Morgan and A.J. Sommese, A homotopy for solving general
polynomial systems that respects $m$-homogeneous structures, Appl.
Math.\ Comput. 24 (1987), 101--113.
\bibitem{So58} A. Morgan and A.J. Sommese,
Computing all solutions to
polynomial systems using homotopy continuation, Appl. Math.\ Comput.\
24 (1987), 115--138; Erratum, 51 (1992), p. 209.
\bibitem{So55} M. Beltrametti and A.J. Sommese, A criterion for a variety
to be a cone, Comment.\ Math.\ Helv. 62 (1987), 417--422.
\bibitem{So56} A.J. Sommese and A. Van de Ven, On the adjunction mapping,
Math.\ Ann.\ 278 (1987), 593--603.
\bibitem{So59} M. L. Fania, E. Sato, and A.J. Sommese, On the structure of
fourfolds with a hyperplane section which is a $P^1$ bundles over a surface
that fibres over a curve, Nagoya Math.\ J. 108 (1987), 1--14.
\bigskip
\hbox{\hspace{2.5in} \em 1988}
\bibitem{So60} M. Beltrametti and A.J. Sommese, On generically polarized Gorenstein
surfaces of sectional genus $2$, J. Reine Angew.\ Math.\ 386 (1988), 172--186.
\bibitem{So61} M. Beltrametti and A.J. Sommese,
On normal Gorenstein polarized varieties of sectional genus $3$
and $4$, Indiana University\ Math.\ J. 37 (1988),
667--686.
\bibitem{So62} M. L. Fania and A.J. Sommese,
Varieties whose hyperplane sections are $P^k_C$ bundles, Ann.\
Scuola Norm.\ Sup.\ Pisa Cl.\ Sci.\ Ser. (4) 15 (1988), 193--218.
\bibitem{So63} A. Lanteri and A.J. Sommese, A vector
bundle characterization of $P^n$, Abh.\ Math.\ Sem.\ University\
Hamburg 58 (1988), 89--96.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1989}
\bibitem{So64} A. Morgan and A.J. Sommese,
Coefficient-parameter polynomial continuation, Appl. Math.\
Comput. 29 (1989), 123--160; Erratum, 51 (1992), p. 207.
\bibitem{So68} A. Morgan, A.J. Sommese, and L. Watson,
Finding all solutions to polynomial systems using HOMPACK, ACM
Trans.\ on Math.\ Software 15 (1989), 93--122.
\bibitem{So71} A. Morgan, A.J. Sommese, and L. Watson,
The mathematical reduction of a heart dipole model, J. of Comput.\
Appl.\ Math.\ 27 (1989), 407--410.
\bibitem{So65} M. Andreatta and A.J. Sommese, The adjunction process for singular
varieties, Forum Math.\ 1 (1989), 143--152.
\bibitem{So66} M. Beltrametti, P. Francia, and A.J. Sommese, On Reider's method
and higher order embeddings, Duke Math.\ J. 58 (1989), 425--439.
\bibitem{So67} M. Andreatta and A.J. Sommese,
Generically ample divisors on normal Gorenstein surfaces,
Singularities, Contemporary Math.\ 90 (1989), 1--20.
\bibitem{So69} M. Beltrametti, A. Biancofiore,
and A.J. Sommese, Projective $n$-folds of log general type. I,
Trans.\ Amer.\ Math.\ Soc.\ 314 (1989), 825--849.
\bibitem{So70} M. L. Fania and A.J. Sommese,
On the projective classification of smooth $n$-folds with $n$
even, Arkiv f\"or Matematik 27 (1989), 245--256.
\bibitem{So72} A.J. Sommese, On the nonemptiness of the
adjoint linear system of a hyperplane section of a threefold, J.
Reine Angew.\ Math.\ 402 (1989), 211--220; Erratum, 411 (1990),
122--123.
\bibitem{So73} A. Lanteri, M. Palleschi, and A.J. Sommese,
Very ampleness of $K_X\otimes{\cal L}^{\dim X}$ for an ample and
spanned line bundle $\cal L$, Osaka J. Math.\ 26 (1989),
647--664.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1990}
\bibitem{So123} A. Morgan and A.J. Sommese, Generically nonsingular polynomial
continuation, Proc. AMS-SIAM Summer Seminars on Computational Solution
of Nonlinear Systems of Equations, Lectures in Applied Math.\ 26
(1990), 467--493.
\bibitem{So124} A. Morgan, A.J. Sommese, and C.W. Wampler, Polynomial continuation for
mechanism design problems, Proc.\ AMS-SIAM Summer Seminars on
Computational Solution of Nonlinear Systems of Equations, Lectures
in Applied Math.\ 26 (1990), 495--517.
\bibitem{So125} C.W. Wampler, A. Morgan, and
A.J. Sommese, Numerical continuation methods for solving
polynomial systems arising in kinematics, ASME Journal of
Mechanical Design 112 (1990), 59--68.
\bibitem{So74} M. Beltrametti and A.J. Sommese,
On $k$-spannedness for projective surfaces, in {\em Algebraic
Geometry, Proceedings of Conference on Hyperplane Sections}, ed.
by A.J. Sommese, A. Biancofiore, and E.L. Livorni, L Aquila, Italy
1988, Springer Lect.\ Notes in Math. 1417 (1990), 24--51.
\bibitem{So75} M. Andreatta, M. Beltrametti, and
A.J. Sommese, Generic properties
of the adjunction mapping for singular surfaces and applications, Pacific J.
Math.\ 142 (1990), 1--15.
\bibitem{So76} M. Beltrametti and A.J. Sommese, On the relative adjunction mapping,
Math.\ Scand.\ 65 (1989), 189--205.
\bibitem{So77} M. Beltrametti, M. Schneider, and
A.J. Sommese, The threefolds of degree $9$ and $10$ in $P^5$,
Math.\ Ann.\ 288 (1990), 413--444.
\bibitem{So81} M. Andreatta and A.J. Sommese,
Classification of irreducible projective surfaces of smooth
sectional genus $\le3$, Math.\ Scand.\ 67 (1990), 198--214.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1991}
\bibitem{So78} A. Morgan, A.J. Sommese, and C.W. Wampler,
Computing singular solutions to nonlinear analytic systems,
Numerische Math.\ 58 (1991), 669--684.
\bibitem{So79} M. Beltrametti, M. L. Fania, and
A.J. Sommese, On projective classification of algebraic varieties
via adjunction theory, Math.\ Ann.\ 290 (1991), 31--62.
\bibitem{So80} M. Beltrametti and A.J. Sommese,
New properties of special varieties
arising from adjunction theory, J. Math.\ Soc.\ Japan 43 (1991), 381--412.
\bibitem{So82} M. Andreatta and A.J. Sommese, On the projective normality of
the adjunction bundles (with an appendix by M. Andreatta, E. Ballico, and
A.J. Sommese), Comment.\ Math.\ Helv.\ 66 (1991), 362--367.
\bibitem{So83} M. Beltrametti and A.J. Sommese, Zero cycles and $k$-th order
embeddings of smooth projective surfaces (with an appendix by L. G\"ottsche),
1988 Cortona Proceedings on Projective Surfaces and their Classification, ed.\
by C. Ciliberto and F. Catanese, Symposia Mathematica XXXII (1991), 32--48.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1992}
\bibitem{So86} A. Morgan, A.J. Sommese, and C.W. Wampler, Computing
singular solutions to polynomial systems, Advances in Appl. Math.\
13 (1992), 305--327.
\bibitem{So88} C.W. Wampler, A. Morgan, and A.J. Sommese, Complete solution of
the nine-point path synthesis problem for four-bar linkages, ASME Journal
of Mechanical Design 114 (1992), 153--159.
\bibitem{So90} A. Morgan, A.J. Sommese, and C.W. Wampler, A power series method for
computing singular solutions to nonlinear analytic systems, Numerische Math.\
63 (1992), 391--409.
\bibitem{So84} M. Beltrametti, A.J. Sommese, and J. A. Wi\' sniewski,
Results on varieties with many lines and their applications to
adjunction theory (with an appendix by M. Beltrametti and A.J. Sommese),
in {\em Complex Algebraic Varieties; Bayreuth 1990}, ed.\ by K. Hulek,
T. Peternell, M. Schneider, and F.-O. Schreyer, Springer Lect.\
Notes in Math. 1507 (1992), 16--38.
\bibitem{So85} M. Beltrametti and A.J. Sommese, On the adjunction
theoretic classification of polarized varieties, J. Reine Angew.\ Math.\
427 (1992), 157--192.
\bibitem{So87} M. Beltrametti, M. Schneider, and A.J. Sommese, The threefolds
of degree $11$ in $P^5$, Complex Projective Geometry, London Math.\
Soc.\ Lect.\ Notes, 179 (1992), 59--80.
\bibitem{So89} M. Beltrametti, M.L. Fania, and
A.J. Sommese, On the discriminant variety of a projective
manifold, Forum Math.\ 4 (1992), 529--547.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1993}
\bibitem{So91} M. Beltrametti and A.J. Sommese, On
$k$-jet ampleness, in Complex Analysis and geometry, ed.\ by V.
Ancona and A. Silva, 355--376 (1993), Plenum Press, New York.
\bibitem{So92} M. Beltrametti and A.J. Sommese, On the
preservation of $k$-very ampleness under adjunction, Math.\ Z. 212
(1993), 257--284.
\bibitem{So93} M. Beltrametti and A.J. Sommese, Comparing
the classical and the adjunction theoretic definition of scrolls,
Proceedings of the 1990 Cetraro Conference Geometry of Complex
Projective Varieties, ed. by A. Lanteri, M. Palleschi, and D.C.
Struppa, (1993), Mediterranean Press, Rende, Italy.
\bibitem{So94} M. Beltrametti and A.J. Sommese,
A remark on the Kawamata rationality theorem, J. Math.\ Soc.
Japan. 45 (1993), 557--568.
\bigskip
\hbox{\hspace{2.5in} \em 1994}
\bibitem{So95} M.C. Beltrametti, M. Schneider,
and A.J. Sommese, Applications of the Ein-Lazarsfeld criterion for
spannedness of adjoint bundles, Math.\ Z. 214 (1994), 593--599.
\bibitem{So96} M.C. Beltrametti and A.J. Sommese,
Special results in adjunction theory in dimension four and five,
Arkiv Mat.\ 31 (1993), 197--208.
\bibitem{So97} M.C. Beltrametti, G.M. Besana, and
A.J. Sommese, On the dimension of the adjoint linear system for
quadric fibrations, in {\em Algebraic Geometry and its
Applications, Proceedings of the 8-th Algebraic Geometry
Conference, Yaroslavl', 1992}, ed.\ by A. Tikhomirov and A.
Tyurin, Aspects of Math.\ E25 (1994), 9--20, Vieweg, Braunschweig.
\bibitem{So98} M.C. Beltrametti and Andrew J. Sommese,
Some effects of the spectral values on reductions, in {\em
Classification of Algebraic varieties, L'Aquila, Italy, 1992},
ed.\ by C. Ciliberto, E.L. Livorni, and A.J. Sommese,
Contemporary Math.\ 162 (1994), 31--48.
\bibitem{So99} A. Lanteri, M. Palleschi, and A.J. Sommese,
On triple covers of $\bf P^n$ as very ample divisors, in {\em
Classification of Algebraic varieties, L'Aquila, Italy, 1992}, ed.\
by C. Ciliberto, E.L. Livorni, and A.J. Sommese, Contemporary Math.\
162 (1994), 277--292.
\bibitem{So100} M. Beltrametti and A.J. Sommese,
Remarks on numerically positive and big line bundles, in {\em
Projective geometry with applications}, ed.\ by E. Ballico, 9--18,
Marcel Dekker, New York (1994).
\bibitem{So101} E. Ballico and A.J. Sommese, Projective surfaces with
$k$-very
ample line bundles of degree $\le 4k+4$, Nagoya Math.\ J. 136 (1994),
57--79.
\bigskip
\hbox{\hspace{2.5in} \em 1995}
\bibitem{So104} A. Morgan, A.J. Sommese, and C.W. Wampler, A
product-decomposition bound for Bezout numbers, SIAM Journal on
Numerical Analysis 32 (1995), 1308--1325.
\bibitem{So102} M. Beltrametti and A.J. Sommese,
On the dimension of the adjoint linear system for threefolds,
Ann.\ Scuola Norm.\ Sup.\ Pisa Cl.\ Sci.\ Ser. (4), XXII (1995),
1--24.
\bibitem{So103} A. Lanteri, M. Palleschi, and A.J. Sommese,
Double covers of $P^n$ as very ample divisors,
Nagoya Math.\ J. 137 (1995), 1--32.
\bibitem{So105} A. Biancofiore, E.L. Livorni,
and A.J. Sommese, On the complexity of the projective
classification of surfaces, Monatsh.\ Math. 120 (1995), 1-23.
\bigskip%\newpage
\hbox{\hspace{2.5in} \em 1996}
\bibitem{So109} A.J. Sommese and C.W. Wampler,
Numerical algebraic geometry, {\em The Mathematics of Numerical
Analysis: Real Number Algorithms, Park City, Utah, Summer 1995},
ed.\ by J. Renegar, M. Shub, and S. Smale, Lectures in Applied
Math.\ 32 (1996), 749--763.
\bibitem{So106} M. Beltrametti, M. Schneider, and A.J. Sommese, Chern
inequalities and spannedness of the adjoint bundle, {\em
Proceedings of the Hirzebruch 65 conference at Bar-Ilan
University}, ed.\ by M. Teicher, Israel Mathematical Conf.\ Proc.
9 (1996), 97--107, American Mathematical Society, Providence,
Rhode Island.
\bibitem{So107} A. Lanteri, H. Maeda, and A.J. Sommese, Ample and
spanned vector bundles of minimal curve genus, Archiv der Math.
66 (1996), 141-149.
\bibitem{So108} A. Lanteri, M. Palleschi, and A.J. Sommese,
On the discriminant locus of an ample and spanned line bundle, J.
Reine Angew.\ Math. 477 (1996), 199--219.
\bibitem{So110} M. Beltrametti and A.J. Sommese, Notes on embeddings
of blowups, J. of Algebra, 186 (1996), 861--871.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1997}
\bibitem{So139} C.W. Wampler, A. Morgan,and A. Sommese,
Complete solution of the nine-point path synthesis problem for
four-bar linkages -- Authors' Closure, ASME Journal of Mechanical
Design 119 (1997), 150--152.
\bibitem{So111} M. Beltrametti and A.J. Sommese, On the
second adjunction mapping. The case of a $1$-dimensional image,
Trans.\ Amer.\ Math.\ Soc. 349 (1997), 3277--3302.
\bibitem{So112} M. Beltrametti and A.J. Sommese, On the
second adjunction mapping and the very ampleness of the triadjoint
bundle, In {\em Birational Algebraic Geometry}, edited by Y.
Kawamata and V. Shokurov, Contemporary Mathematics 207 (1997),
1--24, American Mathematical Society, Providence, Rhode Island.
\bibitem{So113} A. Lanteri, M. Palleschi, and A.J. Sommese,
Del Pezzo surfaces as hyperplane sections,
J. Math.\ Soc.\
Japan. 49 (1997), 501--529.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 1998}
\bibitem{So115} M. Beltrametti and A.J. Sommese,
Sharp Matsusaka-type theorems on surfaces, Math.\ Nachr. 191
(1998), 5--17.
\bibitem{So116} M. Beltrametti, S. Di Rocco, and A.J. Sommese,
On higher order embeddings of Fano threefolds by the
anticanonical linear system,
J. Math.\ Sci.\ University\ Tokyo 5 (1998), 75--97.
\bibitem{So117} M. Kim and A.J. Sommese, Two results on
branched coverings of Grassmannians, J. Math.\ Kyoto
University 38 (1998), 21--27.
\newpage%\bigskip%
\hbox{\hspace{2.5in} \em 1999}
\bibitem{So131} M. Beltrametti, S. Di Rocco, and A.J. Sommese,
On generation of
jets for vector bundles, Revista Matematica Complutense 12 (1999),
27-45.
\bibitem{So119} K. Chandler, A. Howard, and A.J.
Sommese, Reducible hyperplane sections I, Jour.\ Math.\ Soc.\ of
Japan 51 (1999),
887--910.
\bibitem{So130} M. Beltrametti and A.J. Sommese, On
the degree and the birationality of the second adjunction mapping,
Int.\ Jour.\ of Math. 10 (1999), 707--719.
\bibitem{So129} T. Peternell, M. Schneider, and
A.J. Sommese, Kodaira dimension of subvarieties, Int.\ Jour.\ of
Math. 10 (1999), 1065--1079.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 2000}
\bibitem{So137} A.J. Sommese and J. Verschelde, Numerical
homotopies to compute generic points on positive dimensional
algebraic sets, in Complexity theory, real machines and homotopy
(Oxford, 1999),
J. Complexity 16 (2000), no. 3, 572--602.
\bibitem{So133} S.M. Wise, A.J. Sommese, and L.T. Watson,
Algorithm 801: \verb+POLSYS_PLP+: A partitioned linear product
homotopy code for solving polynomial systems of equations, ACM
Trans.\ on Math.\ Software 26 (2000), 176--200.
\bibitem{So128} M. Beltrametti, A. Howard, M. Schneider, and A.J. Sommese,
Projections from subvarieties, in {\em Complex Analysis and
Algebraic Geometry, Bayreuth, June 1998}, edited by T. Peternell
and F.O. Schreyer, (2000), 71--108, Walter de Gruyter, Berlin.
\bibitem{So118} M. Beltrametti and A.J. Sommese, Projective manifolds
with small pluridegrees, Trans.\ Amer.\ Math.\ Soc. 352 (2000)
3045--3064.
\bibitem{So135} S. Kebekus, T. Peternell, A.J. Sommese, and
J.A. Wi\'sniewski, Projective contact
manifolds, Inventiones Math. 142 (2000), 1--15.
\bibitem{So134} A. Lanteri, M. Palleschi, and A.J. Sommese,
Discriminant loci of varieties with smooth normalization, Comm.
Algebra 28 (2000), 4179--4200. Erratum, Comm. Algebra 31 (2003),
2027--2028.
\bibitem{So114} A.J. Sommese, What we know about the second
adjunction mapping, Rendiconti del Seminario Matematico e Fisico
di Milano 67 (1997), 49--75 (2000).
\bibitem{So138} T. Peternell and A.J. Sommese, Ample vector bundles
and branched coverings (with an appendix by R. Lazarsfeld),
Communications in Algebra 28 (2000), 5573--5599.
\bigskip
\hbox{\hspace{2.5in} \em 2001}
\bibitem{So144} A.J. Sommese, J. Verschelde, and C.W. Wampler, Numerical
decomposition of the solution sets of polynomial systems into
irreducible components, SIAM Journal on Numerical Analysis 38
(2001), 2022--2046.
\bibitem{So132} S. Di Rocco and A.J. Sommese, On line bundles for
which a projectivized jet bundle is a product, Proceedings of
the Amer.\ Math.\ Soc. 129 (2001), 1659--1663.
\bibitem{So149} A.J. Sommese, J. Verschelde and C.W. Wampler,
Using Monodromy to Decompose Solution Sets of Polynomial Systems
into Irreducible Components, in Proceedings of the 2001 NATO
Advance Research Conference, Eilat, Israel, on Applications of
Algebraic Geometry to Coding Theory, Physics, and Computation,
edited by C. Ciliberto, F. Hirzebruch, R. Miranda, and M. Teicher,
(2001) 297--315.
\bibitem{So145} A.J. Sommese, J. Verschelde, and C.W. Wampler,
Numerical irreducible decomposition using projections from points on
the components, in {\em Symbolic Computation: Solving Equations in
Algebra, Geometry, and Engineering}, ed.\ by Green, Hosten,
Laubenbacher, and Power, Contemporary Mathematics 206 (2001),
37--51.
\bibitem{So147} M.C. Beltrametti and A.J. Sommese, On the bicanonical
map of a surface section of a threefold, Abh.\ Math.\ Hamburg 71
(2001), 269--277.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 2002}
\bibitem{So146} S. Kebekus, T. Peternell, and A.J. Sommese,
Manifolds with nef rank 1 subsheaves in $\Omega_X^1$, in {\em
Complex Geometry: A Collection of Papers dedicated to Hans
Grauert}, edited by I. Bauer, F. Catanese, Y. Kawamata, T.
Peternell, and Y.-T. Siu, (2002) 159--164.
\bibitem{So142} E.L. Allgower and A.J. Sommese, Piecewise linear
approximations of smooth fibers, J.\ Complexity 18 (2002), 547--556.
\bibitem{So151} M. Beltrametti, K. Chandler, and A.J. Sommese,
Reducible hyperplane sections II, Kodai Math.\ J.
25 (2002), 139--150.
\bibitem{So140} H. Maeda and A.J. Sommese, Very ample
vector bundles of curve genus two, Archiv der
Mathematik 79 (2002), 74--80.
\bibitem{So154} A.J. Sommese, J. Verschelde,and C.W. Wampler,
A method for tracking singular paths with application to the
numerical irreducible decomposition, in {\em Algebraic
Geometry, a Volume in Memory of Paolo Francia}, ed.\ by M.C.
Beltrametti, F. Catanese, C. Ciliberto, A. Lanteri, and C.
Pedrini; De Gruyter (2002), 329--345.
\bibitem{So152} A.J. Sommese, J. Verschelde, and C.W. Wampler,
Symmetric functions applied to decomposing solution sets of
polynomial systems, SIAM Journal on Numerical Analysis 40 (2002),
2026-2046.
\bigskip
\hbox{\hspace{2.5in} \em 2003}
\bibitem{So153} A.J. Sommese, J. Verschelde, and C.W. Wampler,
Numerical Irreducible Decomposition using PHCpack, In
``Algebra, Geometry and Software Systems,''
edited by M. Joswig and N. Takayama,
Springer-Verlag (2003), 109--130.
\bibitem{So150} A. Lanteri and A.J. Sommese,
Ample vector bundles with zero loci having a hyperelliptic
curve section, Forum Math. 15 (2003), 525--542.
\bigskip%\newpage
\hbox{\hspace{2.5in} \em 2004}
\bibitem{So141} S. Di Rocco and A.J. Sommese, Chern numbers of
ample rank two vector bundles on toric surfaces,
Trans.\ Amer.\ Math.\ Soc.\ 356 (2004), 587-598.
\bibitem{So158} A.J. Sommese, J. Verschelde,
and C.W. Wampler, Numerical factorization of multivariate complex
polynomials, Theoretical Computer Science
315 (2004), 651--669.
\bibitem{So155} A.J. Sommese, J. Verschelde, and C.W. Wampler,
Advances in polynomial continuation for solving problems in
kinematics, Paper DETC2002/MECH-34254, Proc. ASME Design
Engineering Technical Conf.\ (CDROM), Montreal, Quebec, Sept.
29--Oct. 2, 2002. ASME Journal of Mechanical Design 126 (2004),
262-268.
\bibitem{So148} A. Lanteri, M. Palleschi, and A.J. Sommese,
On the adjunction mapping of very ample vector bundles of corank
one, Trans.\ Amer.\ Math.\ Soc.\ 356 (2004), \ 2307--2324.
\bibitem{So157} M. Beltrametti, M.L. Fania, and A.J.
Sommese, Mukai varieties as hyperplane sections,
Proceedings of the 2002 Fano Conference, Torino, edited by
A. Collino, A. Conte, and M. Marchisio, (2004), 185--208.
\bibitem{So156} T. Peternell and A.J. Sommese,
Ample vector bundles and branched coverings, II,
Proceedings of the 2002 Fano Conference, Torino, edited by
A. Collino, A. Conte, and M. Marchisio, (2004), 625--645.
\bibitem{So159} A.J. Sommese, J. Verschelde, and
C.W. Wampler, Homotopies for intersecting solution components of
polynomial systems, SIAM Journal on Numerical Analysis, 42 (2004),
1552--1571.
\medskip
\hbox{\hspace{2.5in} \em 2005}
\bibitem{So160} A.J. Sommese, J. Verschelde, and
C.W. Wampler, An intrinsic homotopy for intersecting algebraic
varieties, Journal of Complexity, 21 (2005), 593--608.
\bibitem{So161} A.J. Sommese, J. Verschelde, and
C.W. Wampler, Introduction to numerical algebraic geometry, in
{\em Solving Polynomial Equations: Foundations, algorithms, and
applications}, ed.\ by A. Dickenstein and I. Emiris, 301--337
(2005), Springer Verlag.
\bibitem{So164} H. Maeda and A.J. Sommese, Notes on very
ample vector bundles on $3$-folds, Archiv der Mathematik, 85
(2005), 527--537.
\bibitem{So162} J.P. Ladwig and A.J. Sommese, Using cited half-life to
adjust download statistics, College \& Research Libraries, 66
(2005) 527--542.
\bibitem{So166} M. Beltrametti, M.L. Fania, and A.J.
Sommese, A note on ${\mathbb P}^1$-bundles as hyperplane sections,
Kyushu J. Math. 59 (2005), 301--306.
\medskip
\hbox{\hspace{2.5in} \em 2006}
\bibitem{So167} E.L. Allgower, D.J. Bates,
A.J. Sommese, and C.W. Wampler, Solution of Polynomial systems
derived from differential equations, Computing, 76 (2006), 1--10.
%65H10 (65L10)
\bibitem{So169} D.J. Bates, C. Peterson, and A.J. Sommese,
A numerical-symbolic algorithm for computing the multiplicity of a
component of an algebraic set, Journal of Complexity 22 (2006), 475--489.
\medskip
\hbox{\hspace{2.5in} \em 2007}
\bibitem{So168} J. Diller, D. Jackson, and
A.J. Sommese, Invariant curves for birational surface maps,
Trans.\ Amer.\ Math.\ Soc.\ 359 (2007), 2973--2991.
\bibitem{So170} M.C. Beltrametti, C. Ciliberto, A. Lanteri, and A.J.
Sommese, On the birationality of the bicanonical map of a surface
section of a threefold, Comm.\ Algebra 35 (2007), 1627--1650.
\bibitem{So173} Y. Lu, D.J. Bates, A.J. Sommese, and
C.W. Wampler, Finding all real points of a complex curve,
In {\em Algebra, Geometry and
Their Interactions}, edited by A. Corso, J. Migliore, and C. Polini,
Contemporary Mathematics 448 (2007), 183--205, American Mathematics Society.
\bibitem{So165} A.J. Sommese, J. Verschelde, and C.W. Wampler,
Solving Polynomial Systems Equation by Equation. In {\em Algorithms
in Algebraic Geometry}, edited by
A. Dickenstein, F.-O. Schreyer, and A.J. Sommese,
volume~146 of {\em IMA Volumes in Mathematics and
Its Applications}, pages 133--152, 2007, Springer Verlag.
\bibitem{So174} D.J. Bates, C. Peterson, and A.J. Sommese,
Applications of a numerical version of Terracini's lemma for secants
and joins. In {\em Algorithms in Algebraic Geometry}, edited by
A. Dickenstein, F.-O. Schreyer, and A.J. Sommese,
volume~146 of {\em IMA Volumes in Mathematics and
Its Applications}, pages 1--14,
2007, Springer Verlag.
\bigskip%\newpage%
\hbox{\hspace{2.5in} \em 2008}
\bibitem{So175} D.J. Bates, J.D. Hauenstein, A.J. Sommese, and C.W.
Wampler, Software for numerical algebraic geometry: a paradigm
and progress towards its implementation. In {\em Software for
Algebraic Geometry}, edited by
M.E. Stillman, N. Takayama, and J. Verschelde,
volume~148 of {\em IMA Volumes in Mathematics and
Its Applications}, pages 1--14,
2008, Springer Verlag.
\bibitem{So171} A.J. Sommese and
C.W. Wampler, Exceptional sets and fiber products, Foundations of
Computational Mathematics 8 (2008), 171--196.
\bibitem{So172} D.J. Bates, J.D. Hauenstein, A.J. Sommese, and
C.W. Wampler, Adaptive multiprecision path tracking,
SIAM Journal on Numerical Analysis 46 (2008) 722--746.
\bigskip
\hbox{\hspace{2.5in} \em 2009}
\bibitem{So181} D.J. Bates, J.D. Hauenstein, A.J. Sommese, and C.W. Wampler,
Stepsize control for path tracking, Contemporary Mathematics 496 (2009), 21--31.
\bibitem{So184}J.D. Hauenstein, J.C. Migliore, C. Peterson, and A.J. Sommese,
Numerical computation of the dimension of linear systems and of
the cohomology of twists of ideal sheaves for reduced curves and surfaces,
Contemporary Mathematics 496 (2009), 235--242.
\bibitem{So185} A.N. Al-Khateeb, J.M. Powers, S. Paolucci, A.J. Sommese,
J.A. Diller, J.D. Hauenstein, and J. Mengers, One-dimensional slow
invariant manifolds for spatially homogenous reactive systems,
{\em Journal of Chemical Physics}, 131, 024118 (2009) (19 pages).
\bibitem{So182} D.J. Bates,
J.D. Hauenstein, C. Peterson, and A.J. Sommese,
A numerical local dimension test for points on the
solution set of a system of polynomial equations,
SIAM Journal on Numerical Analysis, 47 (2009), 3608--3623.
\bigskip
\hbox{\hspace{2.5in} \em 2010}
\bibitem{So183} M.C. Beltrametti, A. Lanteri, and A.J. Sommese,
Hilbert curves of polarized varieties, Journal
of Pure and Applied Algebra, 214 (2010) 461--479.
\bibitem{So179} D.J. Bates, J.D. Hauenstein,
C. Peterson, and A.J. Sommese, Numerical decomposition of the
rank-deficiency set of a matrix of multivariate polynomials,
in {\em Approximate Commutative Algebra}, ed.\ by L. Robbiano and J. Abbott,
Texts and Monographs in Symbolic Computation, Vol. 14,
Springer (2010), 55--77.
\bibitem{So189} S. Di Rocco, D. Eklund, A.J.
Sommese, and C.W. Wampler, Algebraic $\mathbb{C}^{\ast}$-actions and the
inverse kinematics of a general 6R manipulator, Applied
Mathematics and Computation, 216 (2010) 2512--2524.
\bibitem{So193} J.D. Hauenstein and
A.J. Sommese, Witness sets of projections,
Applied Mathematics and Computation 217 (2010), 3349--3354.
\bigskip
\hbox{\hspace{2.5in} \em 2011}
\bibitem{So180} J.D. Hauenstein, A.J. Sommese, and C.W. Wampler,
Regeneration homotopies for solving systems of polynomials, Mathematics of Computation, 80 (2011) 345--377.
\bibitem{So186} W. Hao, J.D. Hauenstein, B. Hu, Y. Liu, A.J.
Sommese, and Y.-T. Zhang, Multiple stable steady states of
a reaction-diffusion model on zebrafish dorsal-ventral
patterning, Discrete and Continuous Dynamical Systems
- Series S, 4 (2011), 1413--1428.
\bibitem{So188} S. Di Rocco, D. Eklund, C. Peterson, and A.J.
Sommese, Chern numbers of smooth varieties via homotopy
continuation and intersection theory, Journal of Symbolic Computation, 46 (2011), 23--33.
\bibitem{So176} D.J. Bates, C. Peterson, A.J. Sommese, and C.W. Wampler,
Numerical computation of the genus of an irreducible curve within an
algebraic set, Journal of Pure and Applied Algebra, 215 (2011), 1844--1851.
\bibitem{So196} C.W. Wampler and A.J. Sommese, Numerical Algebraic Geometry and Algebraic Kinematics, Acta Numerica 20 (2011), 469--567.
\bibitem{So191} C.W. Wampler, A.J. Sommese, and J.D. Hauenstein,
Mechanism Mobility and a Local Dimension Test, Mechanism and Machine Theory, 46 (2011), 1193--1206,
\url{www.sciencedirect.com/science/article/pii/S0094114X11000814}.
\bibitem{So197} J.D. Hauenstein, A.J. Sommese, and C.W. Wampler, Regenerative cascade homotopies for solving
polynomial systems, Applied Mathematics and Computation 218 (2011), pp. 1240--1246.
\bibitem{So198} W. Hao, J.D. Hauenstein, B. Hu,
and A.J. Sommese, A three-dimensional steady-state tumor system, Applied Mathematics and Computation, 218 (2011), 2661--2669.
\bibitem{So190} D.J. Bates, J.D. Hauenstein, and
A.J. Sommese, A parallel endgame, in the {\em Proceedings of the Workshop on Randomization, Relaxation, and Complexity}, Edited
by: L. Gurvits, P.P. P\'ebay, J. M. Rojas, and D. C. Thompson, Contemporary Mathematics, 556 (2011), 25--35, American Mathematics Society.
\bibitem{So187} D.J. Bates, J.D. Hauenstein, and
A.J. Sommese, Efficient pathtracking methods, Numerical Algorithms,
58 (2011), 451--459:
available at \url{dx.doi.org/10.1007/s11075-011-9463-8}.
\bigskip
\hbox{\hspace{2.5in} \em 2012}
\bibitem{So194} W. Hao, J.D. Hauenstein, B. Hu,
Y. Liu, A.J. Sommese, and
Y.-T. Zhang, Bifurcation for a free boundary problem
modeling the growth of a tumor with a necrotic core,
Nonlinear Analysis Series B: Real World Applications, 13 (2012), 694--709:
available at \url{dx.doi.org/10.1016/j.nonrwa.2011.08.010}.
\bibitem{So199} W. Hao, J.D. Hauenstein, B. Hu,
Y. Liu, A.J. Sommese, and
Y.-T. Zhang, Continuation along bifurcation branches for a
tumor model with a necrotic core, Journal of Scientific Computing: Volume 53, Issue 2 (2012), 395--413: available online \url{ 10.1007/s10915-012-9575-x}.
\bibitem{So210} C.W. Wampler and A.J. Sommese, Applying numerical algebraic
geometry to kinematics, In {\em 21st Century Kinematics: The 2012
NSF Workshop}, ed. by J.M. McCarthy, (2012), 125--159, Springer.
\bigskip
\hbox{\hspace{2.5in} \em 2013}
\bibitem{So207}J.D. Hauenstein and A.J. Sommese, Membership tests for images of algebraic sets by linear projections, Applied Mathematics and Computation, 219 (2013), 6809--6818: available online \url{dx.doi.org/10.1016/j.amc.2012.12.060}.
\bibitem{So200} D.J. Bates, J.D. Hauenstein, T. McCoy, C. Peterson, and A.J. Sommese,
Recovering exact results from inexact numerical data in algebraic geometry, Experimental Mathematics,
22 (2013), 38--50: available online \url{dx.doi.org/10.1080/10586458.2013.737640}.
%\bigskip%\newpage%
\bibitem{So201}W. Hao, J.D. Hauenstein, B. Hu, T. McCoy,
and A.J. Sommese, Computing steady-state solutions
for a free boundary problem modeling tumor growth by Stokes equation,
Journal of Computational and Applied Mathematics, 237 (2013), 326--334: available online from Sept. 2012 at \url{ dx.doi.org/10.1016/j.cam.2012.06.001}.
\bibitem{So206}W. Hao, J.D. Hauenstein, C.-W. Shu, A.J. Sommese, Z. Xu, Y.-T.
Zhang, A homotopy method based on WENO schemes for solving steady state problems of
hyperbolic conservation laws, Journal of Computational Physics, 250 (2013), 332--346, online at
\url{http://dx.doi.org/10.1016/j.jcp.2013.05.008}.
\bibitem{So203}W. Hao, B. Hu, and A.J. Sommese, Cell cycle control
and bifurcation for a free boundary problem modeling
tissue growth, Journal of Scientific Computing, 56 (2013), 350--365, online at
\url{http://dx.doi.org/10.1007/s10915-012-9678-4}.
\bibitem{So202}G.M. Besana, S. Di Rocco, J.D. Hauenstein,
A.J. Sommese, and C.W. Wampler, Cell decomposition of almost smooth real algebraic surfaces, Numerical Algorithms,
article Cell decomposition of almost smooth real algebraic surfaces has now been published in the following paginated issue of 63 (2013), 645--678: available online from Sept. 2012 at \url{dx.doi.org/10.1007/s11075-012-9646-y}.
\bibitem{So214}W. Hao, R.I. Nepomechie, and A.J. Sommese, On the completeness of solutions of Bethe's equations, Physical Review E, 88, 052113 (2013): appears online at \url{dx.doi.org/10.1103/PhysRevE.88.052113}.
\bibitem{So204}W. Hao, A.J. Sommese, and Z. Zeng,
Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems, Transactions of Mathematical Software, 40 (2013), Article 5: appears online at \url{dx.doi.org/10.1145/2513109.2513114}.
\bigskip
\hbox{\hspace{2.5in} \em 2014}
\bibitem{So195}W. Hao, J.D. Hauenstein, B. Hu,
and A.J. Sommese, A bootstrapping approach for computing multiple solutions of differential equations, Journal of Computational and Applied Mathematics, 258 (2014) 181--190.
\bibitem{So217}W. Hao, R.I. Nepomechie, and A.J. Sommese,
Singular solutions, repeated roots and completeness for
higher-spin chains,
Journal of Statistical Mechanics: Theory and Experiment: appears online at \url{dx.doi.org/10.1088/1742-5468/2014/03/P03024}.
\bibitem{So208}D.J. Bates, W. Decker, J.D. Hauenstein, C. Peterson, G. Pfister, F.-O. Schreyer, A.J. Sommese, and C.W. Wampler, Probabilistic algorithms to analyze the components of an affine algebraic variety, Applied Mathematics and Computation,
231 (2014), 619--633.
\bibitem{So218}M.C. Beltrametti, A. Lanteri, and A.J. Sommese,
Adjunction and singular loci of hyperplane sections, II, Rendiconti del Circolo Matematico di Palermo, Volume 63 (2014), 247--255.
\bibitem{So209}W. Hao, B. Hu, and A.J. Sommese, Numerical algebraic geometry and differential equations, in {\em Future Vision and Trends on
Shapes, Geometry and Algebra}, edited by R. De Amicis and G. Conti,
Springer Proceedings in Mathematics \& Statistics, Vol. 84 (2014), 39--54.
\bibitem{So223}D.J. Bates, D.A. Brake, J.D. Hauenstein,
A.J. Sommese, and C.W. Wampler, On computing a cell decomposition of a real surface containing infinitely many singularities, Mathematical Software - ICMS 2014, Lecture Notes in Computer Science,
8592 (2014), 246--252.
\bibitem{So224}Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, and Charles W. Wampler,
Bertini\_real: Software for one- and two-dimensional real algebraic sets.
Mathematical Software - ICMS 2014, Lecture Notes in Computer Science, 8592 (2014), 175--182.
\bigskip%\newpage
\bibitem{So192} Z.A. Griffin, J.D. Hauenstein, C. Peterson, and
A.J. Sommese, Numerical computation of the
Hilbert function of a zero-scheme, Connections Between Algebra, Combinatorics, and Geometry
(S.M. Cooper and S. Sather-Wagstaff, eds.), Springer Proceedings in Mathematics \& Statistics,
76 (2014), 235--250, Springer New York.
\bigskip
\hbox{\hspace{2.5in} \em 2015}
\bibitem{So216}M.C.Beltrametti, A.Lanteri, and A.J.Sommese,
Adjunction and singular loci of hyperplane sections, to appear
Journal of the Mathematical Society of Japan, 67 (2015), 861--875.
\bibitem{So222} A.M. Gainutdinov, W. Hao, R.I. Nepomechie, A.J. Sommese, Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity, Journal of Physics A: Mathematical and Theoretical, 2015 J. Phys. A: Math. Theor. 48 494003: available online \url{dx.doi.org/10.1088/1751-8113/48/49/494003}.
\bigskip
\hbox{\hspace{1.0in} \bf Articles that are accepted but have not yet
appeared \hfill}
\bibitem{So225}D.A. Brake, J.D. Hauenstein, and A.J. Sommese,
Numerical local irreducible decomposition, in Proceedings of
6th International Conference on
Mathematical Aspects of Computer and Information Sciences, to appear in
Lecture Notes in Computer Science, Springer.
\bibitem{So226} A.E. Lindsay, W. Hao, and A.J. Sommese,
Vibrations of thin plates with small clamped patches,
Proceedings of the Royal Society A, 2015, Accepted.
\newpage%\bigskip%
\hbox{\hspace{2.5in} \bf Preprints}
%\bibitem{So178} A.N. Al-Khateeb, J.M. Powers, S. Paolucci, A.J. Sommese,
%and J.A. Diller, Constructing slow invariant manifolds for closed reactive systems.
\bibitem{So205}W. Hao, G. Lin, Z. Xu, E. Rosen, A.J. Sommese, and M. Alber,
Role of Fitted Reaction Rates in Predicting Thrombin Production.
\bibitem{So215}T. McCoy, C.Peterson, and A.J. Sommese, The numerical irreducible decomposition over a number field.
\bibitem{So213}W. Hao, O.T. Kernell, and A.J. Sommese, A Chebyshev method for a free boundary problem modeling tumor growth.
\bibitem{So219} D.A. Brake, D.J. Bates, W. Hao, J.D. Hauenstein, A.J. Sommese, and
C.W. Wampler, Bertini\_real: Numerical decomposition of real algebraic curves and surfaces.
\bibitem{So220} D.A. Brake, D.J. Bates, J.D. Hauenstein, A.J. Sommese, and
C.W. Wampler, Homotopies for connected components of algebraic sets
with application to computing critical sets.
\bibitem{So221}J.D. Hauenstein, L. Oeding, G. Ottaviani, and A.J. Sommese,
Homotopy techniques for tensor decomposition and perfect identifiability.
\bibitem{So223}M. Beltrametti, A.J. Sommese, and M.-L. Torrente,
Perturbation results on the zero-locus of a polynomial.
\bigskip%\bigskip%\newpage%
\hbox{\hspace{2.5in} \bf Book Reviews}
\bibitem{So126} A.J. Sommese, Review of {\em Complex manifolds
and deformation of complex structures}, by K. Kodaira, Grund. der
math. Wissen. 283, Springer, in Bull. A. M. S. 16 (1987),
308--310.
\bibitem{So127} A.J. Sommese, Review of {\em Classification
of polarized manifolds}, by T. Fujita, London Math.\ Society
Lect.\ Note Series, (1990) 155, Cambridge University Press, in
Bull. A. M. S. 26 (1992), 179--182.
\bibitem{So136} A.J. Sommese, Review of {\em Ideals, varieties, and
algorithms---An introduction to computational algebraic geometry
and commutative algebra}, by D. Cox, J. Little, and D. O'Shea,
(1992) Springer, New York, in SIAM Review 35 (1993), pg.\ 682.
\end{thebibliography}
\medskip%\newpage%
\noindent{\bf Colloquia, Conference, and Major Workshop Talks since 1979}\\
\vspace{-0.17in}
\begin{tabbing}
1994\ \ \ \ \=Complex Geometry, Trento, Italy, \kill
2015\>Algebraic Geometry, Warsaw 1960 - 2015\\
%\>\ \ \ \ \ \ \verb+http://agvs.mimuw.edu.pl/ABB2015/+
\>\ \ \ \ \ \ University of Warsaw, Poland, March 20.\\
\>\ \ \ \ \ \ Title: Numerical Algebraic Geometry.\\
2014\>University of Illinois at Urbana-Champaign\\
\>\ \ \ \ \ \ Algebraic Geometry Seminar (Mathematics Department), November 13.\\
\>\ \ \ \ \ \ Title: Numerical Algebraic Geometry: Theory and Practice.\\
\>International Conference on Mathematical Software (ICMS 2014)\\
\>\ \ \ \ \ \ Hanyang University, Seoul, Korea, August 8.\\
\>\ \ \ \ \ \ Plenary Lecture: Numerical Algebraic Geometry: Theory and Practice.\\
\>MIDA Group Seminar, University of Genoa, Italy, April 28\\
\>\ \ \ \ \ \ Title: Numerical algebraic geometry over number fields.\\
\>Joint Mathematics Meetings, Baltimore, MD.\\
\>\ \ \ \ \ \ Session on Nonlinear Systems, January 16.\\
\>\ \ \ \ \ \ Title: Numerical algebraic geometry over number fields.\\
2013\>SIAM Conference on Applied Algebraic Geometry, CSU, Fort Collins, CO.\\
\>\ \ \ \ \ \ Session on Algorithms in Numerical Algebraic Geometry, August 2.\\
\>\ \ \ \ \ \ Title: Polynomial systems and algebraic number fields.\\
\>North Carolina State University\\
\>\ \ \ \ \ \ Numerical Analysis Seminar (Mathematics Department), April 2.\\
\>\ \ \ \ \ \ Title: Numerical algebraic geometry and differential equations.\\
2012\>SAGA III Workshop\\
\>\ \ \ \ \ \ Fondazione GraphiTech, University of Trento, Italy, Oct. 9-11.\\
\>\ \ \ \ \ \ Plenary Lecture: Numerical algebraic geometry and differential equations.\\
\>Department of Mathematics, University of Genova, Italy, June 6\\
\>\ \ \ \ \ \ Colloquium Title: Numerical Algebraic Geometry and Solution\\
\>\ \ \ \ \ \ of Systems of Nonlinear Differential Equations.\\
2011\>Special Session: Applications of Numerical Algebraic Geometry\\
\>\ \ \ \ \ \ SIAM Conference on Applied Algebraic geometry, Raleigh, NC, October 7\\
\>\ \ \ \ \ \ Title: Tumor Growth Models and Numerical Algebraic Geometry.\\
\>Mittag-Leffler Institute, Stockholm, May 17.\\
\>\ \ \ \ \ \ Title: Numerical algebraic geometry and differential equations.\\
\>AMS-SIAM Special Session on Applications of Algebraic Geometry, I\\
\>\ \ \ \ \ \ Joint Mathematics Meeting, San Francisco, CA, January 16\\
\>\ \ \ \ \ \ Title: Zebra Fish, Tumor Growth, and Algebraic Geometry.\\
2010\>New geometric and numeric tools for the analysis of differential equations\\
\>\ \ \ \ \ \ Banff International Research Station, Canada, August 13-15.\\
\>\ \ \ \ \ \ Title: Zebra Fish, Tumor Growth, and Algebraic Geometry.\\
\>Midwest Algebra, Geometry and Their Interactions Conference (MAGIC'10)\\
\>\ \ \ \ \ \ University of Notre Dame, Indiana, April 23-25.\\
\>\ \ \ \ \ \ Title: Recent Work in Numerical Algebraic Geometry.\\
\>Workshop on Randomization, Relaxation, and Complexity\\
\>\ \ \ \ \ \ Banff International Research Station, Canada, March 4\\
\>\ \ \ \ \ \ Title: Recent Results in Numerical Algebraic Geometry.\\
\>Fraunhofer Institute ITWM, Kaiserslautern, Germany, February 11\\
\>\ \ \ \ \ \ Title: Four-bars, Zebra Fish, and Tumor Growth.\\
\>AMS-SIAM Special Session on Applications of Algebraic Geometry, I\\
\>\ \ \ \ \ \ Joint Mathematics Meeting, San Francisco, CA, January 16\\
\>\ \ \ \ \ \ Title: Zebra Fish, Tumor Growth, and Algebraic Geometry.\\
2009\>Workshop on Complexity of Numerical Computation\\
\>\ \ \ \ \ \ Fields Institute, Toronto, October 21\\
\>\ \ \ \ \ \ Title: Zebra Fish, Tumor Growth, and Algebraic Geometry.\\
\> Department of Mathematics\\
\>\ \ \ \ \ \ Western Michigan University, October 1\\
\>\ \ \ \ \ \ Colloquium Title: Zebra Fish, Tumor Growth, and Algebraic Geometry.\\
\> Projective Algebraic Geometry in Milano\\
\>\ \ \ \ \ \ University of Milan, Italy, June 11-12\\
\>\ \ \ \ \ \ Title: Zebra Fish, Cancer, and Algebraic Geometry.\\
\>Joint Mathematics Meeting, Washington, D.C., January 7\\
\>\ \ \ \ \ \ AMS Special Session on Computational Algebra and Convexity\\
\>\ \ \ \ \ \ Title: A Numerical Local Dimension Test for Algebraic Sets\\
2008\> ApCoA 2008: Workshop on Approximate Commutative Algebra\\
\>\ \ \ \ \ \ Research Institute for Symbolic Computation (RISC)\\
\>\ \ \ \ \ \ Hagenberg-Linz, Austria, July 24--26\\
\>\ \ \ \ \ \ Title: Recent Results in Numerical Algebraic Geometry.\\
\>Department of Mathematics, KTH, Stockholm, Sweden, June 11\\
\>\ \ \ \ \ \ Colloquium Title: A Brief Introduction to Numerical Algebraic Geometry.\\
2007\> Electrical and Computer Engineering Department\\
\>\ \ \ \ \ \ North Carolina State University, Raleigh, October 19\\
\>\ \ \ \ \ \ Title: Numerical Algebraic Geometry.\\
\> De Paul
University, Chicago, October 5\\
\>\ \ \ \ \ \ American Mathematical Society Sectional Meeting\\
\>\ \ \ \ \ \ Numerical and Symbolic
Techniques in Algebraic Geometry and Its Applications\\
\>\ \ \ \ \ \ Title: Recent Results in Numerical Algebraic Geometry.\\
\>Mathematics Department, University of California at Berkeley, October 2\\
\>\ \ \ \ \ \ Commutative Algebra and Algebraic Geometry Seminar\\
\>\ \ \ \ \ \ Title: Recent Results in Numerical Algebraic Geometry.\\
\>Mathematics Department, University of Western Ontario, Canada, July 24\\
\>\ \ \ \ \ \ Title: Numerical Algebraic Geometry.\\
\>Projective Geometry and Commutative Algebra in Applications\\
\>\ \ \ \ \ \ Department of Mathematics, University of Genova, Italy, June 15--16\\
\>\ \ \ \ \ \ Title: Recent Results in Numerical Algebraic Geometry \\
\>University of Zurich, Switzerland, June 11\\
\>\ \ \ \ \ \ Oberseminar: Algebraische Geometrie\\
\>\ \ \ \ \ \ Title: A Survey of Numerical Algebraic Geometry \\
\> Algebraic Geometry in Higher Dimensions, Levico Terme, Trento, Italy, June 3--9\\
\>\ \ \ \ \ \ Title: Recent Progress in Numerical Algebraic Geometry.\\
\>University of Zurich, Switzerland, May 23\\
\>\ \ \ \ \ \ Arbeitsgemeinschaft in Codierungstheorie und Kryptographie\\
\>\ \ \ \ \ \ Title: Numerical Algebraic Geometry: using numerical analysis\\
\>\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ to do algebraic geometry computations\\
\> Mathematics Department, Colorado State University, Fort Collins, April 17\\
\>\ \ \ \ \ \ Algebra Seminar: An introduction to numeric algebraic geometry\\
\> Department of Mathematics, University of Connecticut at Storrs, March 15\\
\>\ \ \ \ \ \ Colloquium Title: Overview of Numerical Algebraic Geometry.\\
\>Air Force Office of Scientific Research/National Science Foundation Conference\\
\>\ \ \ \ \ \ New Directions in Complex Data Analysis
for Emerging Applications,\\
\>\ \ \ \ \ \ Breckenridge, Colorado, March 4--7.\\
\>\ \ \ \ \ \ Talk Title: Numerical Algebraic Geometry.\\
2006\>School of Mathematics, University of Minnesota, October 6\\
\>\ \ \ \ \ \ Colloquium Title: Computing the Genus of a Curve Numerically.\\
\>Algebraic geometry and applications seminar,\\
\>\ \ \ \ \ \ Institute for Mathematics and Its Applications IMA,\\
\>\ \ \ \ \ \ University of Minnesota, September 13\\
\>\ \ \ \ \ \ Talk Title: Solving Polynomial Systems by Homotopy Continuation.\\
\>Komplexe Analysis, Oberwolfach, Germany, August 31\\
\>\ \ \ \ \ \ Talk Title: Exceptional Sets and Fiber Products\\
\>Satellite Conference on Algebraic Geometry\\
\>\ \ \ \ \ \ Segovia, Spain, August 16--19, 2006\\
\>\ \ \ \ \ \ Plenary Lecture: Numerical Algebraic Geometry.\\
\> Mathematics Roundtable (together with Parker Ladwig)\\
\>\ \ \ \ \ \ of the Physics-Astronomy-Mathematics Division, \\
\>\ \ \ \ \ \ Special Libraries Association Meeting, Baltimore, Maryland, June 13\\
\>\ \ \ \ \ \ Topic presented and discussed: Half-life of Journal Citations.\\
\>Approximate Commutative Algebra,\\
\>\ \ \ \ \ \ Johann Radon Institute for Computational and Applied Mathematics,\\
\>\ \ \ \ \ \ Linz, Austria, February 20--24, 2006\\
\>\ \ \ \ \ \ Keynote Address: Adaptive Multiprecision and Numerical Algebraic Geometry.\\
\>Computer Science Department, University of Utah, Salt Lake City, January 31\\
\>\ \ \ \ \ \ Colloquium Title: Adaptive Multiprecision and\\
\>\ \ \ \ \ \ Efficient Numerical Solution of Polynomial Systems.\\
\>Special Session on Symbolic-Numeric Computation and Applications,\\
\>\ \ \ \ \ \ American Mathematical Society Meeting, San Antonio, Texas, January 16\\
\>\ \ \ \ \ \ Talk Title: Exceptional Sets and Fiber Products.\\
2005\>Challenges in Linear and Polynomial
Algebra in
Symbolic Computation\\
\>\ \ \ \ \ \ \ Software,
Banff International Research Station, Canada,\\
\> \ \ \ \ \ \ \ October 1--6, 2005\\
\> Workshop on geometry and symmetry
in numerical computation, in honor\\
\> \ \ \ \ \ \ \
of Eugene Allgower, Colorado State University, August 8-10, 2005\\
\> Symposium on Dynamical System and Numerical Analysis, in honor of\\
\> \ \ \ \ \ \ \
Tien-Yien Li, Hsinchu, Taiwan, May 10-12, 2005\\
2004\>Fall AMS Central Section Meeting, Northwestern University\\
\>\ \ \ \ \ \ Special Session on ``Solving Polynomial Systems'' \\
\>Komplexe Analysis, Oberwolfach, Germany\\
\>Universit\"at des Saarlandes, Saarbr\"ucken, Germany\\
\>Asymptotic and Effective Results in Complex Geometry,\\
\>\ \ \ \ \ \ \ \ Johns
Hopkins Univ. \\
2003\>University of Minnesota, Minneapolis\\
2002\>Presentation of the Milan Journal of Mathematics and \\
\> \ \ Its Editorial Board, Milan, Italy\\
\>Applied Mathematics Seminar, University of Illinois at Chicago\\
\> Foundations of Computational Mathematics\\
\>\ \ \ \ \ Institute for Mathematics and Its Applications, Minneapolis\\
2001\>Conference in Honor of Alan Huckleberry, Bochum, Germany\\
\>NATO Advance Research Workshop: Application of Algebraic Geometry\\
\>\ \ \ to Coding Theory, Physics, and Computation, Eilat, Israel\\
\>University of Bayreuth, Germany\\
\>University of Milan, Italy\\
\>University of Genova, Italy\\
\> The Johns Hopkins University, Baltimore, Maryland\\
2000\> Komplexe Analysis, Oberwolfach, Germany\\
\>\ \ \ (Clay Mathematics Institute Emissary to the Conference)\\
\> AMS-IMS-SIAM Conference on Algorithms, Computational Complexity, and\\
\>\ \ \ Models of Computation for Nonlinear
and Multivariate Problems,\\
\>\ \ \ Mount Holyoke College, South Hadley, Massachussetts\\
\>University of California at Riverside, California\\
\>Michigan State University, Lansing, Michigan\\
\>University of British Columbia, Vancouver, Canada\\
1999\>Foundations of Computational Mathematics 99, Oxford
University, England\\
\>Colorado State University, Fort Collins, Colorado\\
\>K.T.H. (Royal Institute of Technology), Stockholm, Sweden\\
1998\>Conference in honor of Michael Schneider, University of Bayreuth, Germany\\
\>Hirzebruch 70 Conference, University of Warsaw, Poland\\
\>University of Bayreuth, Germany\\
1997
\>University of
Milan, Italy (four talks)\\
\> University of Genova, Italy\\
\>University of Bayreuth, Germany\\
1996\>Washington University, St.\ Louis, Missouri\\
\>University
of Leiden, The Netherlands\\
\>University of Bayreuth, Germany
(two talks)\\
\>Mathematical Sciences Research Institute,
Berkeley, California\\
\>Japan--U.S.A. Conference on Algebraic Geometry\\
\>\ \ \ \ The Johns Hopkins University, Baltimore, Maryland\\
1995\>Oklahoma State University, Stillwater, Oklahoma (2 talks)\\
\>AMS-SIAM Summer Seminar on Numerical Analysis, Park City, Utah\\
\>University of G\"ottingen\\
1994\>University of Bayreuth, Germany\\
\>Complex Geometry, Trento, Italy\\
1993\>Max-Planck-Institut
f\"ur Mathematik, Bonn, Germany (2 talks)\\
\>Complex Algebraic Geometry, Bayreuth, Germany\\
\>Hirzebruch 65 Conference at Bar Ilan University, Tel Aviv, Israel\\
\>University of Trento, Italy (2 talks)\\
\>University of Illinois at Chicago\\
1992\>University of Bayreuth, Germany\\
\>University of
G\"ottingen, Germany\\
1991\>University of Bayreuth, Germany\\
\>Max Planck Institute for Mathematics, Bonn, Germany (2 talks)\\
\>Projective Classification of Varieties, Oberwolfach, Germany\\
\>U.S.-Japan Complex Algebraic Geometry Conference\\
\>\ \ \ \ The Johns Hopkins University, Baltimore, Maryland\\
1990\>University of L'Aquila, Italy (4 talks)\\
\>Geometry of Complex Algebraic Varieties, Cetraro, Italy\\
\>Complex Algebraic Varieties, University of Bayreuth, Germany\\
1989\>University of Milan, Italy (3 talks)\\
\>University of Genova, Italy\\
\>University of Missouri at Columbia, Missouri\\
\>Vector Bundles and Special Projective Embeddings, Bergen, Norway\\
\>Midwest Algebraic Geometry Conference, Ann Arbor, Michigan\\
1988\>University of Bayreuth, Germany\\
\>Yale University\\
\>University of
Albuquerque, New Mexico (2 talks) \\
\>Hyperplane Sections and Related Topics, L'Aquila, Italy\\
\>\ \ \ \ \ (Principal Speaker--4 talks)\\
\>Complex Geometry VII, Trento, Italy\\
1987\>University of L'Aquila,
Italy (2 talks)\\ \>University of Genova, Italy (2 talks)\\
\>University of Milan, Italy (2 talks)\\
\>University of Essen\\
\>University of G\"ottingen\\
\>University of Heidelberg\\
\>Max
Planck Institute for Mathematik, Bonn, Germany\\
\>Complex Geometry VI, Trento, Italy\\
\>Algebraic Geometry, Columbia University, New York, N.Y.\\
1986\>General Motors Research Laboratories, Warren, Michigan\\
\>University of Regina, Regina, Saskatchewan, Canada\\
\>University of Munich, Germany\\ \>University of Bayreuth, Germany\\
\>University of Genova, Italy, (six lectures)\\
\>University of Milan, Italy (2 talks)\\
\>Singularities, University of Iowa City, Iowa\\
\>Complex Geometry V, Trento, Italy\\
1985 \>Complex Analysis and Algebraic Geometry,\\
\>\ \ \ \ \ Math.\ Inst., G\"ottingen, Germany\\
\>Complex Geometry, University of Nancy I, Nancy, France\\
\>AMS, Regional Meeting, Columbia, Missouri (Principal Speaker)\\
1984 \>Tokyo Metropolitan University\\
\>University of Bonn, Germany\\
\>Max Planck Institute for Mathematics, Bonn, Germany\\
\>University of Leiden, The Netherlands\\
\>University of Essen, Germany\\
\>University of Hamburg, Germany\\
\>Complex Geometry V, Trento, Italy\\\>Joint USA/Japan Complex Singularities Conference,\\
\>\ \ \ \ Tsukuba, Ibaraki, Japan\\
\>Complex Singularities, Research Inst.\ for Math, Science, Kyoto, Japan\\
\>Complex Geometry III, Trento, Italy\\
\>Algebraic Geometry, Lake Wigry, Poland, (Principal Speaker--7 lectures)\\
\>Complex Analysis, Oberwolfach, Germany\\
1983 \> USA-France Conference on Singularities, Ecole Poly., Paris, France\\
\>Purdue University\\
1982 \>Algebraic Group Actions on Algebraic Varieties, Nowy Sacz, Poland\\
\>Classification of Algebraic and Analytic Manifolds\\
\>\ \ \ \ Taniguchi Foundation Conference, Katata, Japan \\
\>Algebraic Geometry, Kobe, Japan\\
\>AMS Symposium on Several Complex Variables,\\
\>\ \ \ \ \ University\ of Wisconsin, Madison\\
\>The Johns Hopkins University\\
\>University of Osaka, Japan\\
\>University of Tokyo, Japan\\
\>University of Hokkaido at Sapporo, Japan\\
\>University of Warsaw, Poland\\
1981 \>Threefolds Conference, Varenna, Italy\\
\>$G_m$ Action Conference, Univ. of British Columbia\\
\>AMS Symposium on Singularities, Humboldt Univ., Arcata, California\\
\>University of Washington, Seattle\\
\>University of Kentucky\\
\>University of British Columbia,
Vancouver, B.C.\\
1980\>University of Washington, Seattle\\
\>University of Michigan, Ann Arbor\\
\>Midwest Algebraic Geometry Conference, Univ. of Illinois at Chicago\\
\>Pacific Northwest Geometry Conference, Univ. of Washington, Seattle\\
1979\>University of Kaiserslautern\\
\>University of Bonn\\
\>University of Notre Dame\\
\>University of Regensburg\\
\>Invariant Theory, Oberwolfach, Germany\\
\end{tabbing}
\vspace*{-0.2in}
%\medskip
\noindent{\bf Meetings attended by Invitation since 1979 (with no talk given)}\\
\vspace{-0.17in}
\begin{tabbing}
1994\ \ \ \ \=Complex Geometry, Trento, Italy \kill
2008\>\href{http://www.nd.edu/~sommese/poster.jpg}{Interactions of Classical \& Numerical Algebraic Geometry}\\
\>\ \ \ \ University of Notre Dame, Indiana\\
2004 \>Workshop on Some New Mathematical Opportunities at DARPA\\
\>Classical Algebraic Geometry, Oberwolfach, Germany \\
\end{tabbing}
\vspace*{-0.2in}
\noindent{\bf Professional Society Affiliations}\ Society for
Industrial and Applied Mathematics, American Mathematical Society.
Other Affiliations: Member of Phi Beta Kappa, American Friends of the Alexander von Humboldt Foundation.
\vspace*{0.1in}
\noindent{\bf Research Specialities}\
Numerical
Algebraic Geometry (Numerical Analysis of Polynomial Systems), Numerical Partial Differential Equations, Complex Algebraic Geometry.
\vspace*{0.3in}
\noindent{\bf Updated: November 22, 2015}
\end{document}
\hbox{\hspace{2.5in} \bf Preprints}
\bibitem{So143} A. Budhiraja and A.J. Sommese, Classical
integration rules and Wiener measure.
\bibitem{So120} A.J. Sommese, The birational
theory of hyperplane sections of projective threefolds, 1981
preprint (Sommese has no intention of publishing this paper since
the major part of it is superseded by \cite{So47,So49,So50}).