Research Interests

My interests lie broadly in convex geometry and analysis, with particular attention to the geometric properties of convex bodies, geometric tomography, and related analytical methods.

A puzzled mathematician in a navy sweater explores convex geometry, surrounded by sketches, books, and false starts.
Area 01

Convex Geometry

The structure and properties of convex bodies, including support functions, geometric inequalities, and Brunn–Minkowski-type questions.

Area 02

Geometric Tomography

Investigating geometric objects using information from their sections and projections, and related integral transforms.

Area 03

Geometric Measure Theory

Measure-theoretic approaches to geometric questions involving sets, dimensions, and geometric structure.

Area 04

Real and Complex Analysis

Foundational and advanced analytical methods, including functions, integration, and complex-analytic techniques.