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.
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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.