Andrew Sommese Vincent J. and Annamarie Micus Duncan
Professor of Mathematics Notre Dame, Indiana 46556 (574) 631-6498 (Office: Hurley 291)
Department
of Applied & Computational Mathematics & Statistics
University of Notre Dame
(574) 631-8630 (Department) 
My
current research is in Numerical Algebraic Geometry and the numerical solution
of systems of nonlinear differential equations. This work involves the
numerical solution of polynomial systems and the numerical manipulation of the
solution sets. A major focus of this work is the solution of systems of
polynomials arising in engineering and science, and in particular the theory of
mechanisms.
Bertini is a software package that Daniel J. Bates, Jonathan D. Hauenstein, Charles W. Wampler, and I have created
to carry out numerical algebraic geometry computations.
For
details on numerical algebraic geometry see my book with
One particularly
interesting example (studied by Husty and Karger) discussed in this book is the Griffis-Duffy
platform robot, a special type of Stewart-Gough platform robot, that moves when
all legs are held to be fixed length. Here is a movie made by
Read a popularization of some of my work here.
Click
here here,
for a picture of runge (on the right). Runge (named after the famous German numerical and complex
analyst) is an eight node dual opteron 250 cluster
(with a two terabyte disk array), that was the first cluster for our numerical
work. We had a new cluster skoll with 296 cores: 28
nodes with two quad-Xeon 5410’s and 8 GB RAM; 9 nodes with two quad-Xeon
E5520’s and 12 GB RAM; plus a 16 terabyte disk array. We upgraded to over 700 cores and over a
terabyte of RAM and moved our clusters to the Center
for Research Computing.
Assorted
information:
- Biography
and List of Publications (pdf-file); (LaTeX-file)
- Some Preprints
- Slides of my talk, Numerical
Algebraic Geometry, at the Satellite
Conference on Algebraic Geometry,
- Slides of my talk, Exceptional
Sets and Fiber Products, at the Komplexe
Analysis Workshop, Mathematische
Forschungsinstitut Oberwolfach,
- Slides of my
- Slides of my
- Slides of my
- Slides on Alt's
Problem.
- Slides of my talk, Numerical Algebraic Geometry: Theory and
Practice, at the International Conference on Mathematical Software
(ICMS) at Hanyang University, Seoul, Korea on
August 8, 2014.
Click
here for the webpage of ACMS 60850 (Applied
Probability): Fall 2019.
Click here for the
webpage of ACMS 40390 (Numerical Analysis): Spring 2019.
Click here for the
webpage of ACMS 40485 (Applied Complex Analysis): Spring 2015.
Click here for the
webpage of ACMS 60850 (Applied Probability): Fall 2014.
Click here for the
webpage of ACMS 40485 (Applied Complex Analysis): Fall 2013.
Click here for the
webpage of ACMS 60690 (Numerical Analysis I): Fall 2012.
Click here for the
webpage of ACMS 750 (Introduction to Applied Mathematics II): Spring 2012.
Click here for the
webpage of ACMS 550 (Introduction to Applied Mathematics I): Fall 2011.
Click here for the
webpage of ACMS 750 (Introduction to Applied Mathematics II): Spring 2011.
Click here
for the webpage of ACMS 550 (Introduction to Applied Mathematics I): Fall 2010.
Click here for the webpage of
Mathematics 790 (Numerical Analysis II): Spring 2010.
Click here for the webpage of
Mathematics 690 (Numerical Analysis I): Fall 2009.
Click here for the webpage of
Mathematics 790 (Computational Differential Equations): Spring 2009.
Click here for the webpage of
Mathematics 850 (Applied Probability): Fall 2008.
Click here for the webpage of
Mathematics 610 (Discrete Mathematics): Spring 2008.
Click here for the webpage of
Mathematics 850 (Applied Probability): Fall 2007.
Click here for the webpage of
Mathematics 860 (Stochastic Modeling): Spring 2006.
Click here for the webpage of
Mathematics 850 (Applied Probability): Fall 2005.
Click here to go to the webpage for
Mathematics 328 (Probability and Statistics): Spring 2005.
Click here to go to the webpage for
Mathematics 617 (Numerical Analysis): Fall 2004.
Click here
to go to the Department of Applied and
Computational Mathematics and Statistics (ACMS) home page.
Click here
to go to the
Click here to
go to the University of Notre Dame home page.
Click here,
here,
and here
for a few beautiful places to hike to in
Click here, here, and here for some
beautiful places to hike to in the Canadian Rockies.
We did the
strikingly beautiful "Akamina Ridge Hike from
Last updated June 16, 2016.