Mikhail Ganzhinov

Mikhail Ganzhinov is a researcher affiliated with Aalto University, specializing in mathematical geometry and algebra with a focus on line packings and related structures. He presented research on biangular line packings at the CodEx Seminar on June 8, 2021.

His research interests include geometry, algebra, line packings, group theory, and discrete mathematics. His work connects algebraic structures with geometric configurations, particularly examining how transitive actions of finite groups relate to optimal line arrangements.

His research explores the connections between group theory and geometric configurations, with particular attention to how finite groups like SL(2,2^{2k+1}) and SL(2,3^k) can be used to construct biangular line systems that achieve theoretical bounds in packing problems. This work has implications for understanding optimal arrangements in both real and complex projective spaces.

His presentation at the CodEx Seminar highlighted how these line packings achieve equality in the real and complex versions of the second Levenshtein's bound, demonstrating important theoretical results in the field of geometric combinatorics.