The focus of my research is centered on computational complexity in optimization through the lens of algebraic geometry, differential geometry, and algebraic topology.
Work
University of North Carolina at Chapel Hill
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Assistant Professor
US
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Carnegie Mellon University
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Postdoctoral Research Associate
US
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Purdue University
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Golomb Visiting Assistant Professor
US
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Lehigh University
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Visiting Scholar
US
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Purdue University
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Postdoctoral Research Assistant
US
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Education
Lehigh University
United States of America
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PhD
Sharif University of Technology
Iran (Islamic Republic of)
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Master of Science
Publications
On the complexity of analyticity in semi-definite optimization
Advances in Applied Mathematics
journal-article
Improved effective Łojasiewicz inequality and applications
Forum of Mathematics, Sigma
journal-article
On Computing the Nonlinearity Interval in Parametric Semidefinite Optimization
Mathematics of Operations Research
journal-article
On the Central Path of Semidefinite Optimization: Degree and Worst-Case Convergence Rate
SIAM Journal on Applied Algebra and Geometry
journal-article
Mixed-integer second-order cone optimization for composite discrete ply-angle and thickness topology optimization problems
Optimization and Engineering
journal-article
On the sensitivity of the optimal partition for parametric second-order conic optimization
Mathematical Programming
journal-article
On the identification of the optimal partition for semidefinite optimization
INFOR: Information Systems and Operational Research
journal-article
Parametric analysis of semidefinite optimization
Optimization
journal-article
Quadratic convergence to the optimal solution of second-order conic optimization without strict complementarity
Optimization Methods and Software
journal-article
A rounding procedure for semidefinite optimization
Operations Research Letters
journal-article
A novel approach to discrete truss design problems using mixed integer neighborhood search
Structural and Multidisciplinary Optimization
journal-article
A polynomial primal-dual affine scaling algorithm for symmetric conic optimization
Computational Optimization and Applications
journal-article
An artificial neural network meta-model for constrained simulation optimization
Journal of the Operational Research Society
journal-article
A particle swarm-BFGS algorithm for nonlinear programming problems
Computers and Operations Research
journal-article
Lagrangian relaxation heuristics for the uncapacitated single-source multi-product facility location problem
International Journal of Production Economics
journal-article
A revised particle swarm optimization based discrete Lagrange multipliers method for nonlinear programming problems