Research Interests:
Real Algebraic Geometry Positive Polynomials and Sums of Squares Publications: H. Nguyen and V. Powers, Polynomials Non-negative on Strips and Half-strips, to appear in Journal of Pure and Applied Algebra H. Nguyen, Polynomials Nonnegative on Noncompact Subsets of the Plane, Dissertation Thesis, 2010 Presentations: "Polynomials Non-negative on Strips and Half-strips," Real Algebraic Geometry, Universit de Rennes 1, France, June 20, 2011 "Polynomials Non-negative on Half-strips and Multiple Strips," Joint Mathematics Meetings, New Orleans, LA, January 7, 2011 "Positive Polynomials and Sums of Squares in R2," Clayton State University, Morrow, GA, November 23, 2010 "Polynomials Non-negative on Strips and Half-strips in the Plane," Southern Regional Algebra Conference, University of Louisiana at Lafayette, Lafayette, LA, October 16, 2010 "Representations of Polynomials Non-negative on Non-compact Subset of R2," AMS Joint Mathematics Meetings, San Francisco, CA, January 15, 2010 "Polynomials Non-negative on Non-compact Subsets of the Plane," Positivity, Valuations, and Quadratic Forms, Universitat Konstanz, Germany, October 1-6, 2009 "Polynomials Non-negative on Non-compact Subsets Semialgebraic Sets," Algebra Seminar, Emory University, September 28, 2009
"Polynomials Non-negative on a Strip and a Half-strip," SIAM ACES Workshop, Emory University, February 7, 2009 Conferences Attended: MAA Mathfest, Lexington, KY, August 2-6, 2011
Southeast Section meeting of the MAA, University of Alabama in Tuscaloosa, March 31-April 2, 2011 MAA Mathfest, Pittsburgh, PA, August 2-7, 2010 Linear Algebraic Groups and Cohomology, Emory University, May 16-20, 2007 2007 AMS Spring Southeastern Section Meeting, Davidson College, Davidson, NC, March 3-4, 2007 SIAM student chapters at Auburn University, Clemson University, Emory University and University of South Carolina (ACES) Workshop, Emory University, December 2-3, 2006 Workshops: Linear Matrix Inequalities and Polynomial Optimization (LMIPO), University of California in San Diego, San Diego, CA, March 22-25, 2010 |
