Jesús Antonio De Loera Title: Postdoctoral Fellow Dates: September 10 1995 -- present Office: Geometry Center, Room 432 Phone: (612) 626-8308 E-mail: deloera@geom.umn.edu Personal Homepage: http://www.geom.uiuc.edu/~deloera/

Research Activities at the Geometry Center

Jesús holds a joint appointment as a Postdoctoral Research Fellow at the Geometry Center and as a visiting faculty member of the School of Mathematics at the University of Minnesota.

• You can access information on his current schedule and medium term plans.

Background

Education

Ph.D in applied mathematics, 1995
Cornell University, Ithaca, New York
Dissertation: "Triangulations of Polytopes and Computational Algebra
Dissertation Advisor: Dr. Bernd Sturmfels

M.A in mathematics, 1990
Western Michigan University, Kalamazoo, Michigan

B.S in mathematics, 1989
National University of Mexico
Honors Thesis: On the genus of finite groups

Professional Experience

Employment

• 1995 -- to present: Assistant Professor
  School of Mathematics
  University of Minnesota, Minneapolis, Minnesota
  
  
• 1992 -- 1994: Graduate Teaching and Research Assistant
  Department of Mathematics
  Cornell University, Ithaca, New York
  
  
• 1988 -- 1989: Free lance technical translator and editor
  Mexico City, Mexico
  
  
• 1987 -- 1988: Research and Teaching Assistant
  National University of Mexico
  Mexico City, Mexico
  
  

Publications

• (with B. Sturmfels, and R. R. Thomas)
  Gröbner bases and triangulations of the second hypersimplex,
  Combinatorica, vol 15. 1995, pp 409-424.
  
  
• Gröbner bases and graph colorings,
  Beiträge zur Algebra und Geometrie.vol. 36, 1995, pp 89-96.
  
  
• (with F. Santos)
  An effective version of Pólya's theorem on positive definite forms
  Journal of Pure and Applied Algebra, vol 108, 1996, 231-240.
  
  
• A non-regular triangulation of the product of two tetrahedra
  Discrete and Computational Geometry, vol 15, 1996, pp 253-264.
  
  
• (with S. Hosten, F. Santos and B. Sturmfels)
  The polytope of all triangulations of a point configuration
  Documenta Mathematica J. D.M.V., vol 1, 1996, 103-119.
  
  
• (with F. Santos and J. Urrutia )
  Triangulations with few bistellar neighbors
  to appear in Discrete and Computational Geometry.
  
  
• (with F. Wicklin)
  On the need of convexity in patchworking,
  to appear in Advances in Applied Mathematics.
  
  
• (with W. Morris)
  Q-matrix recognition via secondary and universal polytopes,
  submitted to Mathematics of Operations Research.
  
  
• (with C. Athanasiadis, V. Reiner and F. Santos)
  Projections of cyclic polytopes and their fiber polytopes ,
  submitted to European Journal of Combinatorics.
  
  
• (with I. Itenberg and E. Shustin)
  Flexible combinatorial hypersurfaces ,
  in preparation.

Other Works

• PUNTOS, a MAPLE program for the study of triangulations of convex polytopes
  
  
• (with F. Wicklin) Software for the investigation of Viro's T-curves and surfaces (topological analysis and graphic display). This is part of the PISCES project.
  
  
• (with F. Wicklin)
  Viro's patchworking disproves Ragsdale's conjecture,
  Videotape (10 minutes), submitted to MATHVIDEO-fest of the International Congress of Mathematicians, Berlin 1998.

Selected Talks

• Remarks on a combinatorial construction of Viro (invited speaker) M.I.T. combinatorics seminar, Cambridge MA, December (1997).
• Projections of cyclic polytopes and their fiber polytopes (invited speaker) E.T.H. Department of Informatics, Zurich Switzerland, November (1997).
• Hilbert's 16th problem and a combinatorial construction of Viro (invited speaker) Mathematics Colloquium, University of Illinois, Urbana-Champaign, March (1997).
• Combinatorial models of real algebraic varieties: using computers in their topological classification (invited speaker) Department of Mathematics and Computer Science, Emory University, March (1997).
• The number of geometric bistellar flips of a triangulation (invited speaker) Geometric Combinatorics Workshop, MSRI, Berkeley, February (1997).
• Hilbert's 16th problem: a construction of Viro (invited speaker) Colloquium, Courant Institute of Mathematical Sciences, December (1996).
• Some combinatorial methods in algebraic geometry (invited speaker) Minicourse presented at the National Politechnic Institute. Mexico City, Mexico, December 1995.
• A triangulation with few neighbors (invited speaker) ``Algebraic and Geometric Combinatorics'', Mathematisches Institut Oberwolfach, Oberwolfach-Walke Germany, February 1995.
• Classifying triangulations of (0,1)-polytopes (invited speaker) Geometry seminar, School of Computer Sciences, McGill University, Montreal Canada November 1994.
• Classifying triangulations of (0,1)-polytopes (invited speaker) Geometry seminar, Courant Institute of Mathematical Sciences, New York University, New York, NY. September 1994.
• Calculo de triangulaciones regulares y aplicaciones (invited speaker) Department of Mathematics and Computer Sciences seminar, University of Cantabria, Santander, Spain July 1994.
• Gröbner bases and triangulations of the second hypersimplex (invited speaker) Department of Mathematics seminar, University of Rochester, Rochester, NY, November 1993.
• Polynomial ideals and enumeration of stable sets and colorings International Conference on Graph Theory, Combinatorics and Applications, Kalamazoo, MI (1991)

Jesus Antonio de Loera <deloera@geom.umn.edu>
The Geometry Center
University of Minnesota
400 Lind Hall
207 Church St. S.E.
Minneapolis, MN 55455
(612) 626-8308

Jesus can also be reached at

<deloera@math.umn.edu>
School of Mathematics
University of Minnesota
420 Vincent Hall
206 Church St. S.E
Minneapolis MN 55455
(612) 625-5099

Comments to: webmaster@www.geom.uiuc.edu
Created: Nov 19 1995 --- Last modified: September 16 1997