Jan Verschelde, Professor Office: 1210 SEO
Department of Mathematics, Statistics and Computer Science Phone: (312) 996 4609
University of Illinois at Chicago (Mail Code 249) Fax: (312) 996-1491
Chicago, IL 60607-7045, U.S.A. E-mail to: jan at math dot uic dot edu
New papers:
  • Jan Verschelde: Polyhedral Methods in Numerical Algebraic Geometry. The abstract and manuscript.
  • Kathy Piret and Jan Verschelde: Sweeping Algebraic Curves for Singular Solutions. The abstract and manuscript.
  • Danko Adrovic and Jan Verschelde: Tropical Algebraic Geometry in Maple, a preprocessing algorithm for finding common factors to multivariate polynomials with approximate coefficients. The abstract and manuscript.
    My research interests concern the application of polynomial homotopy continuation to scientific and engineering problems . The methodology involves the following fields: Computational Algebraic Geometry, Symbolic-Numeric Computation, Combinatorial and Polyhedral Methods, Mathematical Software and Applications, and Supercomputing. See the poster about numerical algebraic geometry.
    Run the homotopy continuation machine of Tangan Gao (tgao@csulb.edu)
    See the events of the SIAM Student Chapter. From Spring 2002 to Spring 2006, jointly with Susan Friedlander, we organized the Mathematics and Applications seminar.
  • AMS Special Session on Solving Polynomial Systems, 23-24 October 2004, Northwestern University (Evanston, IL).
  • AMS/SIAM Special Session on Symbolic-Numeric Computation and Applications, 15 January 2006, at the Joint Mathematics Meetings, San Antonio, Texas.
  • International Congress of Mathematical Software 2006, 1-3 September 2006, Castro Urdiales, Spain.
  • Workshop on "Software for Algebraic Geometry", 23-27 October 2006, at the Institute for Mathematics and Its Applications, Minnesota.
  • International Workshop Symbolic-Numeric Computation'07, 25 - 27 July 2007, University of Western Ontario, Canada.
  • AMS Special Session on Numerical and Symbolic Techniques in Algebraic Geometry and its Applications, 5-6 October 2007, DePaul University (Chicago, IL).
  • Computational Algebra and Convexity, AMS Mathematical Research Communities, June 21-27, 2008. Snowbird Resort, Utah. tentative schedule
    Updated Tuesday 2 September 2008, with PHCpack v2.3.44.
    Last updated Thursday 16 October 2008, with posting of polyhedral methods paper.