Research
I am mainly interested in the intersection of algebraic geometry,
mathematical optimization and combinatorics.
I work under the supervision of Levent Tunçel.
Ongoing Projects.
- Hilbert's Nullstellensatz: Girth, Coloring and Large Certificates
(w/ Levent Tunçel)
- On the bit complexity of some Semidefinite Programming Problems (w/
Mehdi Karimi, Levent Tunçel)
- Cutting Planes for the Chance Constraint Vehicle Routing Polytope (w/Ricardo Fukasawa)
Past Projects.
- Applied Hilbert's Nullstellensatz for Combinatorial Problems
(w/ Levent Tunçel). MMath thesis. Available
online.
- Semidefinite approximations of conical hulls of measured sets
(w/ Mauricio Velasco) to appear in Discrete & Computational
Geometry. Available online.