Research

I work in Geometric Analysis and Convex Geometry. My main concentrations at this moment are Monge-Ampére partial differential equations with convex geometric structures, so-called Minkowski-type Problems, and analytic-geometric inequalities associated with convex bodies. I am also interested in optimal transport reformulations of these topics. In the past, I did some research in Differential Geometry and Ergodic Theory.

I graduated with a Ph.D. in Mathematics from New York University in May, 2023. At NYU I worked with Erwin Lutwak, Deane Yang and Gaoyong Zhang.

Papers

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1. V. Semenov. The Gauss Image Problem with Weak Alexandrov Condition, J. Funct. Anal. 287 (2024) [Journal] [arXiv]
2. V. Semenov. The Discrete Gauss Image Problem, submitted. [arXiv]
3. V. Semenov. The Uniqueness of the Gauss Image Measure, submitted. [arXiv]
4. V. Semenov., Y. Zhao. The growth rate of surface area measure for noncompact convex sets with prescribed asymptotic cone, submitted. [arXiv]

Other Resources

The recordings of my past talks:

•   September, 2022. The Discrete Gauss Image problem at Harmonic Analysis Methods in Geometric Tomography, ICERM, Brown University. [Slides]

Academic History

• 2024—present: Brown University, LFZ Assistant Professor.
• 2023—2024: NYU Courant Institute of Mathematical Sciences, Visiting Assistant Professor.
• 2017—2023: NYU Courant Institute of Mathematical Sciences, Ph.D. in Mathematics.
• 2013—2017: NYU Courant Institute of Mathematical Sciences, B.A. in Mathematics.