Research / Investigación

Research Interests:

• Convex Geometry.

• Brunn-Minkowski Theory.

• Isoperimetric Inequalities.

• Functional Inequalities.

• Stochastic Geometry.

• Computational Algebraic Geometry.

• Convex Optimization.

Papers and Preprints:

• A stochastic Prékopa-Leindler inequality for log-concave functions (with P. Pivovarov). Communications in Contemporary Mathematics, 2020. 

• Stochastic reverse isoperimetric inequalities in the plane. Geometriae Dedicata, 2021.

• Stochastic forms of Brunn's principle  (with P. Pivovarov). Preprint.

• Approximate real symmetric tensor rank (with A. Ergür and P. Valettas). Arnold Mathematical Journal, 2023.