Mark V. Sapir

Mark V. Sapir is the Centennial Professor in the Department of Mathematics at Vanderbilt University. His research spans combinatorial algebra, geometric group theory, and algorithmic properties of groups and semigroups.

Research Interests: He explores algorithmic, geometric, and probabilistic invariants of groups, semigroups, and algebras. Key contributions include work on Thompson groups, Dehn functions, asymptotic cones, and residual finiteness.

Recent Publications: His research focuses on divergence functions, isoperimetric spectra, and interactions between algebraic and asymptotic properties. Notable works include studies on subgroups of Thompson’s group F and conjugacy problems in groups with quadratic Dehn functions.

Scientific Awards:

• Journal Pioneer Award (1970) for solving coin weight problems elegantly

Grants & Collaborations: Supported by the National Science Foundation since 1992, Sapir has collaborated with leading mathematicians like A.Yu. Olshanskii and Victor Guba, advancing theories in HNN extensions and diagram groups.

Editorial Roles: He serves as editor-in-chief of the Journal of Combinatorial Algebra and contributes to the editorial boards of Algebra and Discrete Mathematics, Groups Complexity Cryptology, and others.