Location
LGRT 1116

I am interested in anything related to combinatorial optimization, extremal graph theory, applied real algebraic geometry, operations research, proof complexity and polyhedral combinatorics.

Education

  • Ph.D. in Mathematics from Technische Universität Berlin (Berlin Mathematical School), 2014
  • Bachelor of Science in Mathematics from MIT, 2009
  • Bachelor of Science in Music from MIT, 2009

Selected publications

  • Tropicalizing the graph profile of some almost-stars with Maria Dascălu, SIAM Journal on Discrete Mathematics, Volume 38, Issue 2 (2024)
  • Undecidability of polynomial inequalities in weighted graph homomorphism densities with Greg Blekherman and Fan Wei, Forum of Mathematics, Sigma, Volume 12 (2024), e40
  • A New Proof of the Erdős-Simonovits conjecture on walks with Greg Blekherman, Graphs and Combinatorics, Volume 39, 53 (2023)
  • A Path Forward: Tropicalization in Extremal Combinatorics with Greg Blekherman, Advances in Mathematics, Volume 407 (2022), 108561, pp. 1-68
  • Tropicalization of Graph Profiles with Greg Blekherman, Mohit Singh and Rekha Thomas, Transactions of the American Mathematical Society, Volume 375, Number 9 (2022)
  • Simple Graph Density Inequalities with no Sum of Squares Proofs with Greg Blekherman, Mohit Singh and Rekha Thomas, Combinatorica, Volume 40 (2020), pp. 455-471
  • Symmetric Sums of Squares over k-Subset Hypercubes with James Saunderson, Mohit Singh and Rekha Thomas, Mathematical Programming Series A, Volume 167, Issue 2 (2018), pp. 315-354
  • Symmetry in Turan Sums of Squares Polynomials from Flag Algebras with Mohit Singh and Rekha Thomas, Algebraic Combinatorics, Volume 1, Number 2 (2018), pp. 249-274.
  • The Turán Polytope, The Electronic Journal of Combinatorics, Volume 25, Issue 3 (2018), P3.43
  • New Conjectures for Union-Closed Families with Jonad Pulaj and Dirk Theis, The Electronic Journal of Combinatorics, Volume 23, Issue 3 (2016)
  • The Centers of Gravity of the Associahedron and of the Permutahedron Are the Same with Christophe Hohlweg and Jonathan Lortie, The Electronic Journal of Combinatorics, Volume 17, Issue 1 (2010), R72
  • Small Chvátal Rank with Tristram Bogart and Rekha Thomas, Mathematical Programming, Volume 124, Issue 1-2 (2010), pp 45-68