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 :
National Security Agency, Young Investigators Grant (P.I.) - Hilbert-Kunz multiplicities and local cohomology questions in
positive characteristic, $14,991, 01/2010-12/2010, renewable for a second year.
National Security Agency/University of South Carolina Subcontract (P.I.) - GSU-USC Commutative
Algebra Seminar, $15,280 ($7,640 annually) 10/2008-10/2010.
National Security Agency, Young Investigators Grant (P.I.) - Special chapters in the theory of rings of positive
characteristic, $29,130 ($14,565 annually), 01/2007-12/2008.
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:
Hilbert-Kunz multiplicities, Commutative Algebra and Its Interactions Conference, University of Michigan, August 2008.
Local Cohomology and F-stability, Commutative Algebra Seminar, University of Minnesota, April 2008.
The Frobenius Structure of Local Cohomology, Algebraic Geometry Seminar, University of Barcelona, Spain, March 2008.
On the behavior of F-injectivity under flat base change, GSU-USC Joint Commutative Algebra Seminar, University of South Carolina, January 2008.
A question on F-injectivity with implications for F-stability, GSU-USC Joint Commutative Algebra Seminar, University of South Carolina, November 2007.
Local cohomology and F-stability, International Conference on Homological and Combinatorial aspects in Commutative Algebra, Busteni, Romania, July 2007.
Organizer (with Yongwei Yao) of the regional and national meetings
Commutative algebra meetings in the Southeast Georgia State University, , Oct 20 2006, March 17-18 2007, Sept 16 2007, April 25-27 2008, September 13-14 2009.
Organizer (with Andy Kustin and Adela Vraciu) of the special session Commutative algebra and algebraic geometry AMS South-East Section,
March 2007, Davidson College, NC.
Organizer (with Adela Vraciu) of the special session Local and homological algebra AMS South-East Section, October 2004, Nashville, TN.
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).