2026 Mark Sapir: Mathematics Researcher – H-Index, Publications & Awards

Research.com Recognitions

2013 - Fellow of the American Mathematical Society

Overview

Mark Sapir is affiliated with Vanderbilt University in the United States. Their research primarily spans the field of Mathematics, with focused contributions in several subfields including Geometry and Topology, Discrete Mathematics and Combinatorics, Mathematical Physics, and Computational Theory and Mathematics.

The scientist's work centers on topics such as Geometric and Algebraic Topology, Finite Group Theory, Semigroups and Automata Theory, Advanced Operator Algebra, Homotopy and Cohomology in Algebraic Topology, and Advanced Topology and Set Theory.

Mark Sapir has published multiple academic papers in diverse venues, with a significant presence in both journals and repositories. Recent publications include:

"On some generating set of Thompson's group F" (2023, São Paulo Journal of Mathematical Sciences)
"Algorithmic problems in groups with quadratic Dehn function" (2022, Groups Geometry and Dynamics)
"On closed subgroups of the R. Thompson group F" (2021, arXiv [Cornell University])
"On some generating set of Thompson's group F" (2022, arXiv [Cornell University])
"On closed subgroups of the R. Thompson group F" (2024, Israel Journal of Mathematics)

Common publication venues for Sapir's work include:

arXiv (Cornell University)
São Paulo Journal of Mathematical Sciences
Groups Geometry and Dynamics
Israel Journal of Mathematics

Frequent collaborators of Mark Sapir are documented as:

Gili Golan
Alexander Olshanskii
Gili Golan-Polak

Their professional recognitions include being elected as a Fellow of the American Mathematical Society in 2013.

Best Publications

Tree-graded spaces and asymptotic cones of groups

Cornelia Druţu;Mark Sapir

388
Citations
ALGORITHMIC PROBLEMS IN VARIETIES

Olga Kharlampovich;Mark V. Sapir

266
Citations
Non-amenable finitely presented torsion-by-cyclic groups

Alexander Yu. Ol’shanskii;Mark V. Sapir

149
Citations
Isoperimetric and isodiametric functions of groups

Mark V. Sapir;Jean Camille Birget;Eliyahu Rips

148
Citations
PROBLEMS OF BURNSIDE TYPE AND THE FINITE BASIS PROPERTY IN VARIETIES OF SEMIGROUPS

M V Sapir

148
Citations
Divergence in lattices in semisimple Lie groups and graphs of groups

Cornelia Drutu;Shahar Mozes;Mark V. Sapir

138
Citations
Lacunary hyperbolic groups

Alexander Yu Ol’shanskii;Denis V Osin;Mark V Sapir

126
Citations
CLOSED SUBGROUPS IN PRO-V TOPOLOGIES AND THE EXTENSION PROBLEM FOR INVERSE AUTOMATA

Stuart W. Margolis;Mark V. Sapir;Pascal Weil

114
Citations
Isoperimetric functions of groups and computational complexity of the word problem

J.-C. Birget;A. Yu. Ol'shanskii;E. Rips;M. V. Sapir

109
Citations
On subgroups of R. Thompson's group $ F$ and other diagram groups

V S Guba;M V Sapir

95
Citations
Combinatorial Algebra: Syntax and Semantics

Mark Sapir;Victor Guba;Mikhail V. Volkov

85
Citations
Inherently Nonfinitely Based Finite Semigroups

M V Sapir

83
Citations
Metrics on diagram groups and uniform embeddings in a Hilbert space

Goulnara N. Arzhantseva;Victor Guba;Mark Sapir

70
Citations
Diagram groups and directed 2-complexes: Homotopy and homology

V.S. Guba;M.V. Sapir

66
Citations
On cross semigroup varieties and related questions

M. V. Sapir

63
Citations
The lattice of quasivarieties of semigroups

M. V. Sapir

60
Citations
On subgroups of R. Thompson’s group $F$

Gili Golan;Mark Sapir

28
Citations
Topological and Asymptotic Aspects of Group Theory

Rostislav Grigorchuk;Michael Mihalik;Mark Sapir;Zoran Šuniḱ

12
Citations
Tree-graded spaces and asymptotic cones of groups

Cornelia Drutu;Mark Sapir

5
Citations
Non-amenable finitely presented torsion-by-cyclic groups

A. Yu. Olshanskii;M. V. Sapir

0
Citations

Frequent Co-Authors

Alexander Dranishnikov University of Florida

Daniel T. Wise McGill University

Alexei G. Myasnikov Stevens Institute of Technology

Christian Bonatti University of Burgundy

Hugh L. Montgomery University of Michigan–Ann Arbor

Rostislav Grigorchuk Texas A&M University

External Links

Personal website of Mark Sapir

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