Regular biography
Yevgeny Liokumovich is an Assistant Professor 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 e.liokumovich@utoronto.ca or through his profile page at https://www.mathematics.utoronto.ca/people/directories/all-faculty/yevgeny-liokumovich.
Scholar-generated biography
Yevgeny Liokumovich is a researcher whose work focuses on geometric analysis, particularly in the study of minimal hypersurfaces, volume spectrum, and geometric inequalities. His research explores the existence and properties of minimal surfaces in manifolds with various curvature conditions, including positive scalar curvature and Ricci curvature. He investigates the relationship between geometric invariants and topological properties, such as the waist inequality and sweep-out phenomena. His publications also address the classification of PSC manifolds and the behavior of geodesic nets in both compact and non-compact settings. Liokumovich's contributions highlight the interplay between geometry and topology in low-dimensional manifolds.