Mladen Bestvina

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Bestvina 1986

Mladen Bestvina (* 1959 ) is a Croatian-American mathematician who studies geometric group theory.

Bestvina, who won silver medals at the International Mathematical Olympiads in 1976 and 1978, graduated from the University of Zagreb in 1982 and received his doctorate in 1984 from the University of Tennessee with John Joseph Walsh (Characterizing k-Dimensional Universal Menger Compacta). In 1987/88 and 1990/91 he was at the Institute for Advanced Study . He conducted research at the University of California, Los Angeles and is a professor at the University of Utah , where he has been since 1993 and became a Distinguished Professor in 2008.

The Bestvina measurement formula in geometric group theory is named after him and Geoffrey Mess and here he is also known for the combination theorem of Bestvina and Feighn , published with Feighn about the Rips machine (after Eliyahu Rips ) and led train with Michael Handel track maps when examining the outer automorphism groups of the free groups . With Handel and Feighn he proved that the Tits alternative fulfilled. In his dissertation he characterized universal Menger compacts for all dimensions. With Arthur Bartels , he proved the Farrell-Jones Conjecture for figure class groups.

In 1988/89 he was a Sloan Research Fellow and in 1988 he received a Presidential Young Investigator Award. In 2002 he was invited speaker at the ICM in Beijing ( The topology of Out ( ) ). In 2012 he became a Fellow of the American Mathematical Society .

Fonts

  • Characterizing k-dimensional universal Menger compacta, Memoirs of the American Mathematical Society 1988
  • with Mark Feighn: Bounding the complexity of simplicial group actions on trees. Inventiones Mathematicae, Volume 103, 1991, pp. 449-469
  • with Geoffrey Mess: The boundary of negatively curved groups. Journal of the American Mathematical Society, Volume 4, 1991, pp. 469-481
  • with Mark Feighn: Stable actions of groups on real trees, Inventiones Mathematicae, Volume 121, 1995, pp. 287–321
  • with M. Feighn: A combination theorem for negatively curved groups, Journal of Differential Geometry, Volume 35, 1992, pp. 85-101
  • with Noel Brady: Morse theory and finiteness properties of groups, Inventiones Mathematicae, Volume 129, 1997, pp. 445-470
  • with Mark Feighn, Michael Handel: The Tits alternative for Out (fn). I. Dynamics of exponentially-growing automorphisms, Annals of Mathematics, Volume 151, 2000, pp. 517-623, Part 2, Volume 161, 2005, pp. 1-59
  • with Kai-Uwe Bux, Dan Margalit: The dimension of the Torelli group, Journal of the American Mathematical Society, Volume 23, 2010, pp. 61-105
  • with Arthur Bartels: The Farrell-Jones Conjecture for mapping class groups, Arxiv 2016

Web links

Individual evidence

  1. ↑ Mladen Bestvina in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Bestvina, Handel, Train tracks and automorphisms of free groups, Annals of Mathematics, Volume 135, 1992, pp. 1-51.
personal data
SURNAME Bestvina, Mladen
BRIEF DESCRIPTION Croatian-American mathematician
DATE OF BIRTH 1959