# Mladen Bestvina

Croatian American mathematician

## Mladen Bestvina's AcademicInfluence.com Rankings

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Mathematics

## Mladen Bestvina's Degrees

- PhD Mathematics University of Zagreb

## Why Is Mladen Bestvina Influential?

(Suggest an Edit or Addition)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.

## Mladen Bestvina's Published Works

### 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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