Mladen Bestvina | Academic Influence

Mladen Bestvina's AcademicInfluence.com Rankings

Mladen Bestvina

Mathematics

#1889

World Rank

#2998

Historical Rank

#764

USA Rank

Topology

#32

World Rank

#50

Historical Rank

#14

USA Rank

Measure Theory

#2927

World Rank

#3475

Historical Rank

#845

USA Rank

mathematics Degrees

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Mathematics

Mladen Bestvina's Degrees

PhD Mathematics University of Zagreb

Why Is Mladen Bestvina Influential?

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According to Wikipedia, Mladen Bestvina is a Croatian-American mathematician working in the area of geometric group theory. He is a Distinguished Professor in the Department of Mathematics at the University of Utah. Biographical info Mladen Bestvina is a three-time medalist at the International Mathematical Olympiad . He received a B. Sc. in 1982 from the University of Zagreb. He obtained a PhD in Mathematics in 1984 at the University of Tennessee under the direction of John Walsh. He was a visiting scholar at the Institute for Advanced Study in 1987-88 and again in 1990–91. Bestvina had been a faculty member at UCLA, and joined the faculty in the Department of Mathematics at the University of Utah in 1993. He was appointed a Distinguished Professor at the University of Utah in 2008. Bestvina received the Alfred P. Sloan Fellowship in 1988–89 and a Presidential Young Investigator Award in 1988–91.

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Mladen Bestvina'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

Morse theory and finiteness properties of groups (1997) (496)
Train tracks and automorphisms of free groups (1992) (472)
The boundary of negatively curved groups (1991) (316)
Train-tracks for surface homeomorphisms (1995) (267)
A combination theorem for negatively curved groups (1992) (228)
The Tits alternative for Out (F~n) I: Dynamics of exponentially-growing automorphisms (1997) (225)
Stable actions of groups on real trees (1995) (224)
Constructing group actions on quasi-trees and applications to mapping class groups (2010) (218)
Laminations, trees, and irreducible automorphisms of free groups (1997) (212)
Characterizing k-dimensional universal Menger compacta (1988) (185)
The Tits alternative for Out(Fn) II: A Kolchin type theorem (1997) (172)
Bounding the complexity of simplicial group actions on trees (1991) (162)
Degenerations of the hyperbolic space (1988) (153)
Hyperbolicity of the complex of free factors (2011) (143)
Local homology properties of boundaries of groups. (1996) (124)
Characterizing certain incomplete infinite-dimensional absolute retracts. (1986) (112)
A Characterization of Higher Rank Symmetric Spaces Via Bounded Cohomology (2007) (100)
Non-positively curved aspects of Artin groups of finite type (1998) (90)
ℝ-Trees in Topology, Geometry, and Group Theory (2001) (80)
Bounded cohomology of subgroups of mapping class groups (Hyperbolic Spaces and Discrete Groups) (2000) (76)
The topology at infinity of Out(Fn) (2000) (62)
Van Kampen’s embedding obstruction for discrete groups (2000) (60)
A hyperbolic Out(Fn)-complex (2010) (59)
The boundary of the complex of free factors (2012) (57)
The asymptotic geometry of right-angled Artin groups, I (2007) (57)
Addendum and correction to: ``A combination theorem for negatively curved groups'' (1996) (52)
Solvable Subgroups of Out(Fn) are Virtually Abelian (1997) (48)
Real trees in topology, geometry, and group theory (1997) (47)
Asymmetry of Outer space (2009) (46)
Dimension of the Torelli group for Out(Fn) (2006) (44)
Notes on Sela's work: Limit groups and Makanin-Razborov diagrams (2008) (44)
A Bers-like proof of the existence of train tracks for free group automorphisms (2010) (44)
The Farrell–Jones Conjecture for mapping class groups (2016) (44)
THE DIMENSION OF THE TORELLI GROUP (2007) (43)
Stable commutator length on mapping class groups (2013) (40)
QUASI-HOMOMORPHISMS ON MAPPING CLASS GROUPS (2007) (37)
A hyperbolic Out(F_n)-complex (2008) (37)
Limit Groups are Cat(0) (2004) (36)
Characterization of Hilbert space manifolds revisited (1986) (35)
Subfactor projections (2012) (30)
Bounded cohomology with coefficients in uniformly convex Banach spaces (2013) (29)
The asymptotic dimension of mapping class groups is finite (2010) (29)
Bounded cohomology via quasi-trees (2013) (29)
Growth of intersection numbers for free group automorphisms (2008) (28)
Geometric group theory and 3-manifolds hand in hand: the fulfillment of Thurston’s vision (2013) (28)
Acylindrical actions on projection complexes (2017) (27)
Shearing coordinates and convexity of length functions on Teichmüller space (2009) (25)
Geometric Group Theory: The Virtual Cohomological Dimension of Coxeter Groups (1993) (24)
Proper actions on finite products of quasi-trees (2019) (23)
Proper actions of lattices on contractible manifolds (2000) (22)
Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups (2011) (19)
The topology of $out(F_n)$ (2003) (18)
PL Morse theory (2008) (18)
Quasiflats in CAT.0/ 2-complexes (2016) (17)
A wild Cantor set as the limit set of a conformal group action on (1987) (16)
Undistorted purely pseudo-Anosov groups (2016) (16)
Erratum to "Laminations, Trees, and Irreducible Automorphisms of Free Groups" (1997) (15)
Boundary amenability of $Out(F_N)$ (2017) (14)
Some groups of mapping classes not realized by diffeomorphisms (2009) (14)
A Counterexample to Generalized Accessibility (1991) (13)
Handlebody subgroups in a mapping class group (2014) (11)
A 4-dimensional 1-LCC Shrinking Theorem (2001) (11)
Quasiflats in CAT(0) complexes (2008) (10)
On the asymptotic dimension of the curve complex (2015) (9)
A Few Snapshots from the Work of Mikhail Gromov (2014) (5)
Constructing group actions on quasi-trees and applications to mapping class groups (2014) (5)
Linear maps do not preserve countable dimensionality (1985) (5)
Counting maps from a surface to a graph (2005) (5)
The verbal width of acylindrically hyperbolic groups (2016) (4)
Free products from spinning and rotating families. (2020) (4)
Bounded contractions for affine buildings (2017) (4)
Geometry of Integral Binary Hermitian Forms (2011) (4)
Farrell-Jones Conjecture for free-by-cyclic groups (2019) (4)
Mappings between Euclidean spaces that are one-to-one over the image of a dense subset (1984) (4)
An area preserving homeomorphism of T2 that is fixed point free but does not move any essential simple closed curve off itself (1992) (4)
Corrigendum to "Hyperbolicity of the complex of free factors" [Adv. Math. 256, (2014), 104-155] (2014) (4)
Essential dimension lowering mappings having dense deficiency set (1985) (3)
Homological stability of $Aut(F_n)$ revisited (2015) (3)
Stabilizing fake Hilbert spaces (1987) (2)
Groups of proper homotopy equivalences of graphs and Nielsen Realization (2021) (2)
On the topological dimension of the Gromov boundaries of some hyperbolic Out(FN)-graphs (2016) (2)
Geometric Group Theory (2014) (2)
Geometry of outer space (2014) (1)
Connectivity of the Gromov Boundary of the Free Factor Complex (2021) (1)
Folding graphs and applications , d ’ après Stallings (2014) (1)
Groups acting on hyperbolic spaces -- a survey (2022) (1)
The Farrell-Jones Conjecture for hyperbolic-by-cyclic groups (2021) (1)
A compactification of outer space which is an absolute retract (2015) (1)
J un 2 01 3 Bounded cohomology via quasi-trees (2014) (0)
PROJECTION COMPLEXES, REVISITED: A SAMPLE (2017) (0)
Questions in Geometric Group Theory Collected by Mladen Bestvina bestvina (2000) (0)
A McCool Whitehead type theorem for finitely generated subgroups of $\mathsf{Out}(F_n)$ (2020) (0)
Book Review: A primer on mapping class groups (2014) (0)
: Title : On a virtually gutless conjecture of Thurston (2007) (0)
Transverse measures to infinite type laminations (2022) (0)
Quasiﬂats in CAT . 0 / 2 –complexes (2016) (0)
Quasiﬂats in CAT . 0 / 2 –complexes (2016) (0)
N ov 2 01 0 Asymptotic dimension of mapping class groups is finite (2010) (0)
G R ] 3 J un 2 00 9 A hyperbolic Out ( F n )-complex (2009) (0)
The Farrell–Jones Conjecture for mapping class groups (2019) (0)
Towards Nielsen-Thurston classification for surfaces of infinite type (2023) (0)
Asymmetry of Outer space (2011) (0)
Mine is Morse theory. (2009) (0)
Geometric and Probabilistic Methods in Group Theory and Dynamical Systems November 9 – 12 , 2015 Texas (2015) (0)
N ov 2 00 0 Proper actions of lattices on contractible manifolds (2008) (0)
ec 2 00 0 Bounded cohomology of subgroups of mapping class groups (2009) (0)
Limit sets of unfolding paths in Outer space (2022) (0)
Sibe Mardešić: In Memoriam (2018) (0)

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