Commutative Algebra with applications to
Algebraic Geometry: Tight closure theoy, multiplicity
theory, Hilbert and Hilbert-Kunz functions, integral closure of
ideals, homological conjectures, filtrations of ideals,
local cohomology and singularities of local rings. I am also interested in applications of algebra to digital circuit design.Publication List
Honors and Awards :
NSF Grant CCF-0515010 - Collaborative research: a new theoretical and algorithmic frame work for RTL datapath verification using polynomial algebra over finite
rings, 2005-2006.
Research Initiation Grant, Georgia State University, 2005-2006.
Outstanding Instructor Award, University of Utah, April 2004
Rackham Predoctoral Fellowship, University of Michigan, 2000-2001.
National Merit Fellowship, University of Bucharest, Romania, 1991-1996.
Most Recent Talks:
F-stable primes and local cohomology, Commutative Algebra Seminar, University of Michigan, October 2005.
F-stable primes and local cohomology, AMS sectional meeting at Bard College, October 2005.
Local cohomology and the Cohen-Macaulay property, Minnowbrook, August 2005.
Radu-Andre homomorphisms and their applications, Spring Lecture Series, University of Arkansas, April 2005.
Ideals and cones, Algebra Seminar, Emory University, April 2005.
The Hilbert-Kunz multiplicity and complete intersections, Algebra Seminar, University of South Carolina, October 2004.
The structure of F-pure rings, Sixth International Joint Meeting of the AMS and the Sociedad Matemática Mexicana (SMM), Houston, May 2004.
Organizer (with Anurag K. Singh and Karen E. Smith) of the special session Commutative algebra AMS Central Section, March 2002, Ann Arbor, MI.
Referee for various mathematical journals and reviewer for Mathematical Reviews and Zentralblatt. Click here to see my
reviews for Mathematical Reviews (if your institution subscribes to this database).