Mark Sapir | Academic Influence

Mark Sapir's AcademicInfluence.com Rankings

Mark Sapir

Mathematics

#2497

World Rank

#3849

Historical Rank

Algebraic Geometry

#165

World Rank

#172

Historical Rank

Measure Theory

#3509

World Rank

#4139

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Mark Sapir's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Mark Sapir Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Mark Sapir was a U.S. and Russian mathematician working in geometric group theory, semigroup theory and combinatorial algebra. He was a Centennial Professor of Mathematics in the Department of Mathematics at Vanderbilt University.

(See a Problem?)

Mark Sapir's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Tree-graded spaces and asymptotic cones of groups (2004) (364)
Diagram Groups (1996) (182)
Algorithmic Problems in Varieties (1995) (171)
Non-amenable finitely presented torsion-by-cyclic groups (2001) (128)
PROBLEMS OF BURNSIDE TYPE AND THE FINITE BASIS PROPERTY IN VARIETIES OF SEMIGROUPS (1988) (121)
Isoperimetric and isodiametric functions of groups (1998) (118)
Lacunary hyperbolic groups (2007) (108)
Divergence in lattices in semisimple Lie groups and graphs of groups (2008) (106)
Topological and Asymptotic Aspects of Group Theory (2006) (88)
Closed Subgroups in Pro-V Topologies and the Extension Problem for Inverse Automata (2001) (87)
On subgroups of R. Thompson's group $ F$ and other diagram groups (1999) (76)
Combinatorial algebra : syntax and semantics (2014) (63)
Metrics on diagram groups and uniform embeddings in a Hilbert space (2004) (57)
Length and Area Functions on Groups and Quasi-Isometric Higman Embeddings (1998) (55)
Groups acting on tree-graded spaces and splittings of relatively hyperbolic groups☆ (2006) (52)
Inherently Nonfinitely Based Finite Semigroups (1988) (52)
Algorithmic problems in groups and semigroups (2000) (52)
The lattice of quasivarieties of semigroups (1985) (49)
Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms (2003) (48)
Relatively Hyperbolic Groups with Rapid Decay Property (2004) (46)
Diagram groups and directed 2-complexes: Homotopy and homology (2003) (44)
Algorithmic problems for finite groups and finite 0-simple semigroups (1997) (43)
On cross semigroup varieties and related questions (1991) (42)
Median structures on asymptotic cones and homomorphisms into mapping class groups (2008) (40)
Congruences on free monoids and submonoids of polycyclic monoids (1993) (38)
Groups with small Dehn functions and bipartite chord diagrams (2004) (37)
On Jones' subgroup of R. Thompson group $F$ (2015) (34)
Compression functions of uniform embeddings of groups into Hilbert and Banach spaces (2006) (34)
The Dehn function and a regular set of normal forms for R. Thompson's group F (1997) (33)
On Dehn functions of free products of groups (1999) (31)
Ascending Hnn Extensions of Finitely Generated Free Groups Are Hopfian (2001) (31)
Surface Subgroups of Right-Angled Artin Groups (2007) (29)
On the conjugacy growth functions of groups (2010) (28)
Algorithmically complex residually finite groups (2012) (28)
Algorithmic Problems for Amalgams of Finite Semigroups (2000) (26)
Quadratic isometric functions of the Heisenberg groups. A combinatorial proof (1999) (24)
A Finitely Presented Group with Two Non-Homeomorphic asymptotic Cones (2005) (23)
Diagram groups are totally orderable (2003) (23)
Asymptotic invariants, complexity of groups and related problems (2010) (22)
Non-linear residually finite groups (2004) (22)
ALMOST ALL ONE-RELATOR GROUPS WITH AT LEAST THREE GENERATORS ARE RESIDUALLY FINITE (2008) (21)
Some Group Theory Problems (2007) (20)
On the quasivaieties generated by finite semigroups (1980) (20)
Identities of Finite Inverse Semigroups (1993) (20)
Algorithmic Problems in Groups, Semigroups and Inverse Semigroups (1995) (18)
Irreducibility of certain pseudovarieties 1 (1998) (17)
A Higman embedding preserving asphericity (2013) (17)
Rigidity Properties of Diagram Groups (2002) (16)
Periodic Elements of the Free Idempotent Generated Semigroup on a Biordered Set (2008) (16)
Ascending HNN extensions of residually finite groups can be non-Hopfian and can have very few finite quotients (2002) (15)
Groups with non-simply connected asymptotic cones (2005) (14)
Quasi-identities of finite semigroups and symbolic dynamics (1995) (14)
Algorithmic problems in varieties of semigroups (1988) (14)
On the stabilizers of finite sets of numbers in the R. Thompson group $F$ (2016) (14)
Subgroups of Finitely Presented Groups with Solvable Conjugacy Problem (2004) (13)
On the dimension growth of groups (2010) (13)
Residual properties of 1-relator groups (2010) (12)
Identities in full transformation semigroups (1994) (12)
Nonlinearity of matrix groups (2009) (12)
The Rapid Decay property and centroids in groups (2014) (12)
THE TARSKI NUMBERS OF GROUPS (2014) (12)
Aspherical groups and manifolds with extreme properties (2011) (11)
Polynomial Maps over p -Adics and Residual Properties of Mapping Tori of Group Endomorphisms (2008) (11)
THE RESTRICTED BURNSIDE PROBLEM FOR VARIETIES OF SEMIGROUPS (1992) (11)
Algorithmic and asymptotic properties of groups (2006) (11)
Groups with undecidable word problem and almost quadratic Dehn function (2011) (11)
Length Functions on Subgroups in Finitely Presented Groups (2000) (11)
A NOTE ON THE CONTINUOUS EXTENSIONS OF INJECTIVE MORPHISMS BETWEEN FREE GROUPS TO RELATIVELY FREE PROFINITE GROUPS (2003) (10)
Varieties with a countable number of subquasivarieties (1984) (10)
Potential Divisibility in Finite Semigroups is Undecidable (1998) (10)
Embeddings of relatively free groups into finitely presented groups (2000) (9)
Universal Tree-Graded Spaces and asymptotic Cones (2010) (9)
On the Word Problem in periodic Group Varieties (1991) (8)
K-THEORY OF UNIFORM ROE ALGEBRAS By Ján Špakula Dissertation Submitted to the Faculty of the Graduate School of Vanderbilt University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY (2008) (8)
Combinatorics on Words with Applications (1998) (8)
Irreducibility of certain pseudovarieties (2013) (8)
Eventually H-Related Sets and Systems of Equations over Finite Semigroups and Rings (1996) (7)
Varieties with a finite number of subquasivarieties (1981) (7)
Conjugacy problem in groups with quadratic Dehn function (2018) (7)
The problem of equality in varieties of semigroups, rings, and lie algebras (1986) (7)
Idempotents, regular elements and sequences from finite semigroups (1996) (6)
k-Free-like groups (2008) (6)
A Variety Where the Set of Subalgebras of Finite Simple Algebras is Not Recursive (1998) (5)
Addendum: Median structures on asymptotic cones and homomorphisms into mapping class groups (2011) (5)
On groups with locally compact asymptotic cones (2013) (5)
Divergence functions of Thompson groups (2018) (5)
On the joins of semigroup varieties with the variety of commutative semigroups (1994) (5)
On chains of subgroups in residually finite groups (4)
The Word Problem in the Variety of Inverse Semigroups with Abélian Covers (1996) (4)
Algorithmic problems in groups with quadratic Dehn function (2020) (3)
On closed subgroups of the R. Thompson group $F$. (2021) (2)
On flat submaps of maps of nonpositive curvature (2017) (2)
The conjugacy problem for groups, and Higman embeddings (2003) (2)
Finite separability in varieties of associative rings (1999) (2)
Decidable and undecidable problems related to completely 0-simple semigroups (1996) (2)
First Announcement International Conference on Algorithmic Problems in Groups and Semigroups (ICAPGS) (1998) (1)
Corrigendum to “On the dimension growth of groups” [J. Algebra 347 (1) (2011) 23–39] (2012) (1)
A MINIMAL VARIETY OF ASSOCIATIVE ALGEBRAS WITH UNSOLVABLE WORD PROBLEM (1991) (1)
The isoperimetric spectrum of finitely presented groups (2018) (1)
Residually finite finitely presented solvable groups (2012) (1)
Irrepresentability of short semilattices by euclidean subspaces (1994) (1)
Homomorphisms into mapping class groups. An addendum (2010) (1)
Combinatorial and Geometric Group Theory, Edinburgh 1993: A non-residually finite, relatively finitely presented group in the variety N 2 A (1994) (1)
Main Definitions and Basic Facts (2014) (0)
Dichotomy Amenable/Nonamenable in Combinatorial Group Theory (2019) (0)
0 Fe b 20 06 Algorithmic and asymptotic properties of groups (2006) (0)
AFFINE ISOMETRIC ACTIONS OF DISCRETE GROUPS (2009) (0)
LOCALLY REPRESENTABLE VARIETIES OF LIE ALGEBRAS (2017) (0)
G R ] 3 1 Ja n 20 05 Groups with non-simply connected asymptotic cones (2005) (0)
A ug 2 01 8 The isoperimetric spectrum of finitely presented groups (2018) (0)
Words that Can Be Avoided (2014) (0)
The Decimal Expansions of Powers of 9: 10758 (2001) (0)
Sunday to monday (1995) (0)
DEHN FUNCTIONS OF FINITELY PRESENTED METABELIAN GROUPS (2020) (0)
Minsky Machines and Algorithmic Problems (2015) (0)
Nonlinearity of Universal lattices (2009) (0)
Hyperbolicity of renormalization of critical circle maps . Non-amenable finitely presented torsion-by-cyclic groups . On maximal transitive sets of generic diffeomorphisms . Stability and instability for gevrey quasi-convex near-integrable hamiltonian systems (2002) (0)
Divergence functions of Thompson groups (2018) (0)
A 2-generated 2-related group with no non-trivial finite factors (2007) (0)
Non-linear ascending HNN extensions of free groups (2004) (0)
On some generating set of Thompson's group $F$ (2022) (0)
On the Indecomposibility of Certain Language Classes (1996) (0)
QUADRATIC ISOMETRIC FUNCTIONS GROUPS. A COMBINATORIAL PROOF (1999) (0)
SOME QUESTIONS IN THE THEORY OF VARIETIES OF GROUPS (2016) (0)
Quasi-identities of Finite Semigroups andSymbolic (1995) (0)
Divergence of Thompson groups (2017) (0)
Rigidity property of diagram groups (2000) (0)

This paper list is powered by the following services:

Other Resources About Mark Sapir

en.wikipedia.org

What Schools Are Affiliated With Mark Sapir?

Mark Sapir is affiliated with the following schools: