Sotabase

Career

· Full Professor of Mathematics, University of California, San Diego2015–
· Associate Professor of Mathematics, University of California, San Diego2011–2015
· Assistant Professor of Mathematics, University of California, San Diego2007–2011
· Ph.D., Applied Mathematics, University of California, Berkeley2006–
· Postdoctoral Researcher, University of Minnesota (IMA)2006–2007
· MS in Computer Science, Chinese Academy of Sciences2000–
· Bachelor's degree, Xi'an Jiaotong University1997–
· Postdoctoral Researcher, California Institute of Technology (Caltech)

Publications (106)

Optimality conditions and finite convergence of Lasserre’s hierarchy
Mathematical programming · 2012
282
cited
Semidefinite representation of convex sets
Mathematical programming · 2007
226
cited
On the complexity of Putinar's Positivstellensatz
Journal of Complexity · 2005
209
cited
Minimizing Polynomials via Sum of Squares over the Gradient Ideal
Mathematical programming · 2004
191
cited
All Real Eigenvalues of Symmetric Tensors
SIAM Journal on Matrix Analysis and Applications · 2014
155
cited
Biquadratic Optimization Over Unit Spheres and Semidefinite Programming Relaxations
SIAM Journal on Optimization · 2009
149
cited
Semidefinite Relaxations for Best Rank-1 Tensor Approximations
SIAM Journal on Matrix Analysis and Applications · 2013
137
cited
Certifying convergence of Lasserre’s hierarchy via flat truncation
Mathematical programming · 2011
122
cited
Sum of squares method for sensor network localization
Computational optimization and applications · 2006
122
cited
The algebraic degree of semidefinite programming
Mathematical programming · 2006
122
cited
Sufficient and Necessary Conditions for Semidefinite Representability of Convex Hulls and Sets
SIAM Journal on Optimization · 2007
109
cited
An exact Jacobian SDP relaxation for polynomial optimization
Mathematical programming · 2010
92
cited
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Foundations of Computational Mathematics · 2014
81
cited
Representations of positive polynomials on noncompact semialgebraic sets via KKT ideals
2007
74
cited
Semidefnite Relaxation Bounds for Indefinite Homogeneous
2007
73
cited
Generating Polynomials and Symmetric Tensor Decompositions
Foundations of Computational Mathematics · 2014
67
cited
Polynomial Optimization with Real Varieties
SIAM Journal on Optimization · 2012
67
cited
Positivity of Riesz Functionals and Solutions of Quadratic and Quartic Moment Problems
2009
65
cited
Algebraic Degree of Polynomial Optimization
SIAM Journal on Optimization · 2008
62
cited
Sparse SOS Relaxations for Minimizing Functions that are Summations of Small Polynomials
SIAM Journal on Optimization · 2006
61
cited
Sotabase