Dr. Peter N. Malkin

Postdoctoral researcher

Department of Mathematics
University of California, Davis


Office: 3141 MSB

Telephone: (530) 754-9368

Email: m a l k i n (at) m a t h . u c d a v i s . e d u

Research Interests: Integer programming, combinatorial optimization, computational commutative algebra, and polyhedral computation.


Research Articles

Hilbert's Nullstellensatz and an Algorithm for Proving Combinatorial Infeasibility (with Jesus De Loera, Jon Lee and Susan Margulies), Proceedings of ISSAC 2008, July 20–23, 2008, Hagenberg, Austria, pages 197--206.
Computing generating sets of lattice ideals (with Raymond Hemmecke), accepted by the Journal of Symbolic Computation.

Working Papers

Truncated Markov bases and Gröbner bases for integer programming.


Software

4ti2 : A software package for algebraic, geometric and combinatorial problems on linear spaces, available at www.4ti2.de.


Lecturing

Fall 2007: Short Calculus Math 16C Section 1
Spring 2008: Short Calculus Math 16C Section 2
Fall 2008: Short Calculus Math 16C Section 1


PhD. Thesis

Computing Markov bases, Gröbner bases, and extreme rays, Université catholique de Louvain, 2007.