Regular biography
Nikolay Bogachev is an Assistant Professor (CLTA) in the Department of Mathematics at the University of Toronto. His research interests are not specified in the available information. He can be contacted via email at n.bogachev@utoronto.ca or through his profile page at https://www.mathematics.utoronto.ca/people/directories/all-faculty/nikolay-bogachev.
Scholar-generated biography
Nikolay Bogachev is a researcher at the University of Toronto with expertise in geometry and topology, group theory, groups and dynamics, number theory, and machine learning and AI. His work explores the interplay between geometric and arithmetic properties of hyperbolic structures, including hyperbolic lattices, Coxeter polytopes, and reflection groups. He investigates quasi-arithmeticity, arithmeticity, and the classification of hyperbolic lattices, as well as their connections to number theory and geometric group theory. His recent research also incorporates machine learning and AI, particularly in the context of hyperbolic spaces and geometric data analysis.