Igor Mineyev

Igor Mineyev is a Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign (UIUC), part of the College of Liberal Arts & Sciences. His research focuses on geometric group theory, hyperbolic groups, metric geometry, homology/cohomology, and intersections with machine learning. He leads the Illinois Mathematics Lab (IML) projects ColorTaiko! and PathForms, which explore geometric group theory concepts through interactive games.

His work includes contributions to the Hanna Neumann conjecture, Kaplansky conjectures, and applications of group theory to computational abstraction. Mineyev has collaborated extensively, involving students and postdocs in research projects and teaching courses like Math 501 (Algebra II) and IML project-based classes.

Notable research trends in his articles include algebraic topology, geometric analysis, and interdisciplinary applications of group theory. His grants include NSF applications and UIUC funding. Mineyev advises numerous students and mentors graduate researchers through structured IML projects and informal study groups.