Dr. Peter N. Malkin

Lecturer and researcher

Department of Mathematics
University of California, Davis


Office: 3141 MSB

Telephone: (530) 754-9368

Email: malkin(at)math.ucdavis.edu

Research Interests: Integer programming, combinatorial optimization, computational algebraic geometry, and polyhedral computation.


Research Articles

Hilbert's Nullstellensatz and an Algorithm for Proving Combinatorial Infeasibility (with Jesus De Loera, Jon Lee and Susan Margulies), submitted to ISSAC 2008, 2008.
Computing generating sets of lattice ideals (with Raymond Hemmecke), submitted to the Journal of Symbolic Computation, 2005.
Truncated Markov bases and Gröbner bases for integer programming, 2006.


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


PhD. Thesis

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