Dmitriy Bilyk

Dmitriy Bilyk is a Professor in the School of Mathematics at the University of Minnesota, based in Vincent Hall. His research explores harmonic analysis, functional analysis, and discrepancy theory, with applications to geometric inequalities and optimization problems on spheres.

Research focuses on:

• Energy minimization and measure discreteness on spheres
• Discrepancy theory in arbitrary dimensions
• Geometric inequalities and spherical optimization

Publications address mathematical structures in discrepancy theory, energy optimization, and geometric inequalities, with recent emphasis on sphere packing and measure theory applications.

No awards are documented in the provided text.

Research is supported by NSF grants and the Simons Foundation Collaboration Grant.