Some Articles
Applied Mathematics
- D.J. Bates, W. Decker, J.D. Hauenstein, C. Peterson, G, Pfister, F.-O. Schreyer, A.J. Sommese, and C.W. Wampler, and
A.J. Sommese,
COMPARISON OF PROBABILISTIC ALGORITHMS FOR ANALYZING THE COMPONENTS OF AN AFFINE ALGEBRAIC VARIETY (PDF file, 26 pages).
- Daniel J. Bates, Jonathan D. Hauenstein, and Andrew Sommese,
A PARALLEL ENDGAME (PDF file, 15 pages).
- Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Yuan Liu, Andrew Sommese,
and Yong-Tao 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:
doi:
10.3934/dcdss.2011.4.1413
- Ashraf N. Al-Khateeb, Joseph M. Powers, Samuel Paolucci, Andrew J.
Sommese, Jeffrey A. Diller, Jonathan D. Hauenstein, and Joshua D. Mengers,
ONE-DIMENSIONAL SLOW
INVARIANT MANIFOLDS FOR SPATIALLY HOMOGENOUS REACTIVE SYSTEMS (PDF file, 50 pages),
Journal of Chemical Physics, 131 (2009), 024118 (19 pages).
- Daniel J. Bates, Jonathan D. Hauenstein, Christopher Peterson, and Andrew J.
Sommese,
NUMERICAL DECOMPOSITION OF THE RANK-DEFICIENCY SET OF A MATRIX OF
MULTIVARIATE POLYNOMIALS (PDF file, 26 pages);
postscript version; dvi
version, In Approximate
Commutative Algebra, ed. By L. Robbiano and J. Abbott,
Vol. 14 of Texts and Monographs in Symbolic
Computation, 2010, pp 55-77, Springer Verlag.
- Daniel J. Bates, Jonathan D. Hauenstein, Andrew J.
Sommese, and Charles W. Wampler,
SOFTWARE FOR NUMERICAL ALGEBRAIC GEOMETRY: A PARADIGM AND
PROGRESS TOWARDS ITS IMPLEMENTATION (PDF file, 16 pages);
postscript version; dvi
version, In Software for
Algebraic Geometry, ed. by
M.E. Stillman, N. Takayama, and J. Verschelde,
volume~148 of IMA Volumes in Mathematics and
Its Applications, pp 1-14,
2008, Springer Verlag.
- Daniel J. Bates, Christopher Peterson, and Andrew J.
Sommese,
APPLICATIONS OF A NUMERICAL VERSION OF
TERRACINI'S LEMMA FOR SECANTS AND JOINS (PDF file, 14 pages);
postscript version; dvi
version, In Algorithms in Algebraic Geometry, ed. by
A. Dickenstein, F.-O. Schreyer, and A.J. Sommese,
volume~146 of IMA Volumes in Mathematics and
Its Applications, pp 1--14,
2007, Springer Verlag.
- Ye Lu, Daniel J. Bates, Andrew J.
Sommese, and Charles W. Wampler,
FINDING ALL REAL POINTS OF A COMPLEX CURVE (PDF file, 31 pages), In Algebra, Geometry and
Their Interactions, edited by A. Corso, J. Migliore, and C. Polini,
Contemporary Mathematics 448 (2007), 183--205, American Mathematics Society.
- Andrew J. Sommese, Jan Verschelde, and Charles W. Wampler,
SOLVING POLYNOMIAL SYSTEMS EQUATION BY EQUATION (DVI file,
21 pages);
postscript version;
pdf version, In Algorithms
in Algebraic Geometry, edited by
A. Dickenstein, F.-O. Schreyer, and A.J. Sommese,
volume~146 of IMA Volumes in Mathematics and
Its Applications, pp 133-152, 2007, Springer Verlag.
- Andrew J. Sommese, Jan Verschelde, and Charles W.
Wampler,
ADVANCES IN POLYNOMIAL CONTINUATION
FOR SOLVING PROBLEMS IN KINEMATICS (postscript file, 18 pages),
Paper DETC2002/MECH-34254, Proc. ASME Design
Engineering Technical Conf. (CDROM), Montreal, Quebec, Sept.
29-Oct. 2, 2002. Revised version in ASME Journal of Mechanical Design 126 (2004),
262-268.
- Andrew J. Sommese, Jan Verschelde, and Charles W.
Wampler, A
METHOD FOR TRACKING SINGULAR PATHS WITH APPLICATION TO THE
NUMERICAL IRREDUCIBLE DECOMPOSITION (DVI file, 17
pages);
postscript version; pdf version;,
in ``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.
- Andrew J. Sommese, Jan Verschelde, and Charles W.
Wampler, USING
MONODROMY TO DECOMPOSE SOLUTION SETS OF POLYNOMIAL SYSTEMS INTO
IRREDUCIBLE COMPONENTS (DVI file, 19 pages);
postscript version;
pdf version, 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.
- Andrew J. Sommese, Jan Verschelde, and Charles W.
Wampler, NUMERICAL
IRREDUCIBLE DECOMPOSITION USING PROJECTIONS FROM POINTS ON
COMPONENTS (DVI file, 15 pages);
postscript version;
pdf version, in ``Symbolic Computation: Solving Equations in
Algebra, Geometry, and Engineering,'' ed. by Green, Hosten,
Laubenbacher, and Power, Contemporary Mathematics
206 (2001), pages 37-51.
- Andrew J. Sommese and Charles W. Wampler,
NUMERICAL ALGEBRAIC GEOMETRY(DVI file, 15 pages)
postscript version;
pdf; in 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.
Pure Mathematics
- Thomas Peternell and Andrew J. Sommese, AMPLE VECTOR BUNDLES AND
BRANCHED COVERINGS, II (DVI file,
21 pages);
postscript version;
pdf version, Proceedings of the 2002 Fano Conference, Torino, edited by
A. Collino, A. Conte, and M. Marchisio, (2004), 625-645.
- Stefan Kebekus, Thomas Peternell, Andrew J. Sommese,
and Jaroslaw A. Wisniewski,
PROJECTIVE CONTACT MANIFOLDS, Inventiones Mathematicae 142 (2000),
1-15.
- Mauro Beltrametti, Alan Howard, Michael Schneider, and
Andrew J. Sommese,
PROJECTIONS FROM SUBVARIETIES,
(DVI file, 27 pages);
postscript version;
pdf version; in ``Complex Analysis and
Algebraic Geometry, Bayreuth, June 1998,'' edited by T. Peternell
and F.O. Schreyer, (2000), 71-108, Walter de Gruyter, Berlin
- Mauro Beltrametti, Michael Schneider, and Andrew J.
Sommese, CHERN
INEQUALITIES AND SPANNEDNESS OF THE ADJOINT BUNDLE,
postscript version;
pdf version;in
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.
(DVI file, 14 pages).
- Last updated November 12, 2015.