World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
40
Citations
9169
World Ranking
2006
National Ranking
847

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1988 - Fellow of Alfred P. Sloan Foundation

Overview

Mladen Bestvina is affiliated with the University of Utah in the United States and has an extensive research record primarily in the field of Mathematics. Their work spans several subfields, including Geometry and Topology, Mathematical Physics, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, and Computer Graphics and Computer-Aided Design.

Their publications focus on specialized areas within mathematics, with main topics covering Geometric and Algebraic Topology, Homotopy and Cohomology in Algebraic Topology, Mathematical Dynamics and Fractals, Advanced Operator Algebra Research, Advanced Algebra and Geometry, Finite Group Theory Research, and semigroups and automata theory.

Recent papers authored by Mladen Bestvina include the following:

  • Proper actions on finite products of quasi-trees (2021), published in Annales Henri Lebesgue
  • Boundary amenability of Out(FN) (2022), published in Annales Scientifiques de l'École Normale Supérieure
  • Acylindrical actions on projection complexes (2020), published in L'Enseignement Mathématique
  • Free products from spinning and rotating families (2023), published in L'Enseignement Mathématique
  • The Farrell-Jones Conjecture for Hyperbolic-by-Cyclic Groups (2022), published in International Mathematics Research Notices

Mladen Bestvina frequently publishes in venues such as arXiv (Cornell University), Annales Henri Lebesgue, L'Enseignement Mathématique, Annales Scientifiques de l'École Normale Supérieure, and International Mathematics Research Notices.

Their collaborative work includes frequent co-authorship with Kenneth Bromberg, Koji Fujiwara, George Domat, Sanghoon Kwak, and Martin R. Bridson, each appearing multiple times as research partners in various studies.

The scientist's recognitions include being named a Fellow of the American Mathematical Society in 2013 and a Fellow of the Alfred P. Sloan Foundation in 1988.

Best Publications

  • Train tracks and automorphisms of free groups

    Mladen Bestvina;Miciiael Handel

  • Morse theory and finiteness properties of groups

    Mladen Bestvina;Noel Brady

  • A combination theorem for negatively curved groups

    M. Bestvina;M. Feighn

  • Bounded cohomology of subgroups of mapping class groups

    Mladen Bestvina;Koji Fujiwara

  • The boundary of negatively curved groups

    Mladen Bestvina;Geoffrey Mess

  • Train-tracks for surface homeomorphisms

    M. Bestvina;M. Bestvina;M. Handel;M. Handel

  • The Tits alternative for Out (F~n) I: Dynamics of exponentially-growing automorphisms

    Mladen Bestvina;Mark Feighn;Michael Handel

  • Laminations, trees, and irreducible automorphisms of free groups

    Mladen Bestvina;Mark Feighn;Michael Handel

  • Stable actions of groups on real trees

    Mladen Bestvina;Mark Feighn

  • Constructing group actions on quasi-trees and applications to mapping class groups

    Mladen Bestvina;Kenneth Bromberg;Koji Fujiwara

  • Bounding the complexity of simplicial group actions on trees

    Mladen Bestvina;Mark Feighn

  • Degenerations of the hyperbolic space

    Mladen Bestvina

  • Characterizing k-dimensional universal Menger compacta

    Mladen Bestvina

  • Hyperbolicity of the complex of free factors

    Mladen Bestvina;Mark Feighn

  • Characterizing k-dimensional universal Menger compacta

    Unknown

  • Local homology properties of boundaries of groups.

    Mladen Bestvina

  • The Tits alternative for Out(Fn) II: A Kolchin type theorem

    Mladen Bestvina;Mark Feighn;Michael Handel

  • ℝ-Trees in Topology, Geometry, and Group Theory

    Mladen Bestvina

  • A characterization of higher rank symmetric spaces via bounded cohomology

    Mladen Bestvina;Koji Fujiwara

  • Characterizing certain incomplete infinite-dimensional absolute retracts.

    Mladen Bestvina;Jerzy Mogilski

  • The Tits alternative for Out(F_n) I: Dynamics of exponentially-growing automorphisms

    Mladen Bestvina;Mark Feighn;Michael Handel

Frequent Co-Authors

Bruce Kleiner
Bruce Kleiner Courant Institute of Mathematical Sciences
Alex Eskin
Alex Eskin University of Chicago
Michael Kapovich
Michael Kapovich University of California, Davis

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