"Life is worth the living of it.  Do it with your whole heart."

-- Maya Angelou --

Research

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

2009 AMS Spring Central Section Meeting, University of Illinois at Urbana-Champaign, Urbana, IL, March 27-29, 2009

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