Tim Austin (mathematician)

from Wikipedia, the free encyclopedia

Timothy Derek "Tim" Austin is a British mathematician who specializes in analysis, ergodic theory and probability theory.

Austin studied mathematics at Cambridge University with a bachelor's degree in 2005 and a certificate of advanced mathematics in 2006 and received his doctorate in 2010 from the University of California, Los Angeles (UCLA) with Terence Tao (Multiple recurrence and the structure of probability-preserving systems) . From 2010 to 2015 he was Clay Research Fellow and from 2014 to 2017 Principal Investigator of the Simons Collaboration on Algorithms and Geometry. From 2012 to 2014 he was an Assistant Professor at the Courant Institute and he was an Associate Professor there from 2015 to 2017. From 2017 he is an Associate Professor at UCLA.

He was visiting scholar at Microsoft Research in Redmond on several occasions and was a visiting scholar at Brown University.

He deals with ergodic theory (multiple recurrence), harmonic analysis, additive combinatorics, group cohomology, metric geometry with applications in geometric group theory, probability theory on large discrete structures and exact results of statistical mechanics. Among other things, he dealt with finite metric spaces in connection with stationary stochastic processes in order to study their entropy, among other things.

For 2020 he received the New Horizons in Mathematics Prize for work in ergodic theory, specifically the proof of the weak Pinsker conjecture.

Fonts (selection)

  • On exchangeable random variables and the statistics of large graphs and hypergraphs, Probability Surveys, Volume 5, 2008, pp. 80-145, Arxiv
  • The emergence of the deterministic Hodgkin - Huxley equations as a limit from the underlying stochastic ion-channel mechanism, Annals of Probability, Volume 18, 2008, pp. 1279-1325, Arxiv
  • Deducing the Density Hales-Jewett Theorem from an infinitary removal lemma, J. Theoret. Probab., Volume 24, 2011, pp. 615-633, Arxiv 2009
  • with Tanja Eisner, Terence Tao: Nonconventional ergodic averages and multiple recurrence for von Neumann dynamical, Pacific J. Math., Volume 250, 2011, pp. 1-60, Arxiv
  • Amenable groups with very poor compression into Lebesgue spaces, Duke Math. J., Volume 159, 2011, pp. 187-222, Arxiv
  • with Calvin C. Moore: Continuity properties of measurable group cohomology, Math. Annalen, Volume 356, 2013, pp. 885-937, Arxiv
  • Multiple Recurrence and Finding Patterns in Dense Sets, in: Dzmitry Badziahin, Alexander Gorodnik, Norbert Peyerimhoff (Eds.), Dynamics and analytic number theory, London Math. Soc. Lecture Note Ser. 437, Cambridge Univ. Press 2016, pp. 189-257
  • Measure concentration and the weak Pinsker property, Publ. Math. Inst. Hautes Etudes Sci., Volume 128, 2018, pp. 1–119, Arxiv .

Web links

Individual evidence

  1. ↑ Arxiv
  2. ^ Entry at the Simons Foundation
  3. ^ Breakthrough Prize , 2019
personal data
SURNAME Austin, Tim
ALTERNATIVE NAMES Austin, Timothy Derek (full name)
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH 20th century