Greg Blekherman

Greg Blekherman is a Professor in the School of Mathematics at Georgia Tech. He is an associate director of the Algorithms, Combinatorics and Optimization (ACO) program and part of the NSF-Simons Southeast Center for Mathematical Biology. His research focuses on the interplay between convex and algebraic geometry, with applications to optimization and mathematical biology.

Education:

• Ph.D., Mathematics, University of Michigan (2005)
• B.A., Mathematics, New York University (2000)

Research Interests:

• Applied Algebraic Geometry and Convex Geometry
• Combinatorics (extremal, algebraic, probabilistic)
• Optimization (semidefinite programming, sums of squares)
• Mathematical Biology (robot locomotion, biomechanics)

Recent Research Trends: His work bridges algebraic structures and geometric optimization, with recent focus on graph profiles, tropical geometry in extremal combinatorics, and convex hulls of algebraic varieties. Collaborations with robotics teams explore locomotion principles inspired by biological systems.

Labs & Collaborations: Active in interdisciplinary projects with Dan Goldman's biology lab and robotics groups, applying geometric mechanics to optimize robot motion patterns.