Curriculum Vitae

Education and Working Experience

Teaching Experience

Lectures

Exercise classes

Teaching assistant

Publications

Published

Decomposition methods for two-stage stochastic integer programs

with R. Schultz,

in: Online Optimization of Large Scale Systems (M. Grötschel, S.O. Krumke, J. Rambau eds.), Springer, 2001.

Migration Effects at Driven Pendula

with K. Schiele

ZAMM (Applied Mathematics and Mechanics), Potsdam, Germany, 81, No.5, 291--303, 2001.

On the Computation of Hilbert Bases of Cones,

in: "Mathematical Software, ICMS 2002", A. M. Cohen, X.-S. Gao, N. Takayama, eds., World Scientific, 2002.

Interdicting Stochastic Networks

with R. Schultz and D. L. Woodruff

in: "Network Interdiction and Stochastic Integer Programming", D. L. Woodruff, ed., Kluwer, 2003, 69--84.

Decomposition of Test Sets in Stochastic Integer Programming

with R. Schultz

Mathematical Programming, 94(2-3):323-341.

Polyhedral cones of magic cubes and squares

with M. Ahmed and J. De Loera

New Directions in Combinatorial Geometry, The Goodman-Pollack Festschrift (Aronov et al., eds.), Springer Verlag Berling, 2003, 25-41.

On the Positive Sum Property and the Computation of Graver test sets

Mathematical Programming, 96(2):247--269.

Three Kinds of Integer Programming Algorithms based on Barvinok's Rational Functions

with J. De Loera, D. Haws, P. Huggins, and R. Yoshida

Integer Programming and Combinatorial Optimization: 10th International IPCO Conference, (D. Bienstock and G. Nemhauser eds.), Springer, 244--255, 2004.

Short Rational Functions for Toric Algebra and Applications

with J. De Loera, D. Haws, P. Huggins, B. Sturmfels, and R. Yoshida

Journal of Symbolic Computation, 38:959--973, 2004.

Effective Lattice Point Counting in Rational Convex Polytopes

with J. De Loera, J. Tauzer, and R. Yoshida

Journal of Symbolic Computation, 38:1273--1302, 2004.

A Decomposition Algorithm Applied to Planning the Interdiction of Stochastic Networks

with H. Held and D.L. Woodruff

Naval Research Logistics, 52:321--328, 2005.

To appear

Integer Polynomial Optimization in Fixed Dimension

with J. De Loera, M. Köppe, and R. Weismantel

e-print available from http://front.math.ucdavis.edu/math.OC/0410111, 2004, to appear in Mathematics of Operations Research.

A Computational Study of Integer Programming Algorithms based on Barvinok's Rational Functions

with J. De Loera, D. Haws, P. Huggins, and R. Yoshida

2005, to appear in Discrete Optimization.

FPTAS for mixed-integer polynomial optimization with a fixed number of variables

with J. De Loera, M. Köppe, and R. Weismantel

accepted to SODA 2006

Preprints and submitted manuscripts

Test Sets for Integer Programs with Z-convex Objective

UC Davis, 2003.

Representation of sets of lattice points

with R. Weismantel

University of Magdeburg, 2004.

Computation of Atomic Fibers of Z-Linear Maps

e-print available from http://front.math.ucdavis.edu/math.CO/0410289, 2004.

Exploiting Symmetries in the Computation of Graver Bases

e-print available from http://front.math.ucdavis.edu/math.CO/0410334, 2004.

Finiteness theorems in stochastic integer programming

with M. Aschenbrenner

e-print available from http://front.math.ucdavis.edu/math.OC/0502078, 2005.

Computing generating sets of lattice ideals

with P. Malkin

e-print available from http://front.math.ucdavis.edu/math.CO/0508359, 2005.

Software Development

4ti2

Computation of Hilbert bases, Graver bases, toric Gröbner bases and more.

LattE

Effective Lattice Point Counting in Rational Convex Polytopes

Selected Talks at Conferences

Third Workshop on Combinatorial Optimization,

March 8--12, 1999, Aussois, France.

1999 IMACS Conference on Applications of Computer Algebra,

June 24--27, 1999, El Escorial, Spain.

Symposium on Operations Research 1999 (SOR 99),

September 1--3, 1999, Magdeburg, Germany.

International Conference on "Stochastic Optimization: Algorithms and Applications",

February 20-22, 2000, Gainesville, USA.

Fourth Workshop on Combinatorial Optimization,

March 12--17, 2000, Aussois, France.

17th International Symposium on Mathematical Programming (ISMP 2000),

August 7-11, 2000, Atlanta, USA.

Fifth Workshop on Combinatorial Optimization,

March 12--17, 2001, Aussois, France.

Attended Courses

Intensive Course on Groebner bases

January 12--30, 1998, RISC Linz, Austria

(Lectures: Buchberger, Winkler, Robbiano, Schwarz, Adams)

International School on Computer Algebra

May 31--June 5, 1999, Turin, Italy

(Lecturers: Robbiano, Geramita, Sturmfels)

Selected Topics in Integer Programming

October 11--24, 1999, ZIB Berlin, Germany

(Lecturer: Grötschel)

DONET Spring School on Computational Combinatorial Optimization

May 15--19, 2000, Dagstuhl, Germany

(Lecturers: Martin, Balas, Rinaldi, Chvatal, Jünger, Trotter, Lemarechal,Pochet)

First International School on Algebraic Statistics

February 17--18, 2003, Menton, France

(Lecturers: Robbiano, Pistone, Wynn)

Invited Research Stays

University of Arizona, Tucson, USA,

February 16--19, 2000,

Profs. Higle and Sen.

Yale University, New Haven, USA,

April 1--10, 2000,

Prof Scarf.

University of California, Davis, USA,

February 20--March 1, 2001,

Profs. De Loera and Woodruff.

Further Knowledge, Abilities, and Interests

Computer

Languages

Interests