Alperen A. Ergür

  • Postdoc, Carnegie Mellon University

I am a postdoctoral researcher in CMU Theory of Computation group . My gracious hosts are Venkat Gruswami and Pravesh Kothari .

Before September 2019, I was used to discuss randomized numerics with Felipe Cucker at Berlin, where we were hosted by Peter Bürgisser .

I was also very fortunate to learn some very cool things in real algebraic and tropical geometry from Cynthia Vinzant .

I have learned high dimensional probability and convex geometry from Grigoris Paouris , toric geometry and computational algebraic geometry from J. Maurice Rojas . Maurice and Grigoris approved my PhD dissertation on August 2016.

My research interests revolve around real algebraic geometry, discrete and convex geometry, optimization, high dimensional phonemona (suc as concentration of measure), and connections of these topics with algorithms and complexity theory.

A statement of my research interests is here , and an informal summary of my writings is here .

I enjoy working with undergraduate students a lot, and was very happy to mentor many undergradutes in Texas A&M Mathematics Research Experience for Undergraduates program . I also had the opportunity to run seminar/courses on optimization and computational algebraic geometry for PhD students in Berlin Mathematical School .
I am originally from Denizli , Turkey . I still hope, one day, Turkish people will not be scared to dissent.
Interests. Discrete and Convex Geometry, Real Algebraic Geometry, Optimization, Randomized Numerics, Theory of Computation