research interests:

My work is in Algebraic Geometry with connections to Commutative Algebra and Combinatorics. My research interests span topics such as polynomial interpolation problems on higher dimensional varieties and their birational aspects, Mori dream spaces, positivity properties of divisors, duality of cones of divisors and curves, the minimal model program, secant varieties and tensor decomposition as well as general aspects of toric and tropical geometry.

collaborators:

Maria Chiara Brambilla (Italy), Jaroslaw Buczynski (Poland), Alex Casarotti (Italy), Lorenzo Di Biagio (Italy), Jan Draisma (Switzerland), Olivia Dumitrescu (US), Tim Grange (UK), Antonio Laface (Chile), Artie Prendergast-Smith (UK), Filip Rupniewski (Poland), Luis José Santana Sánchez (Spain), Frank Sottile (US), Stefano Urbinati (Italy), Nelly Villamizar (UK)