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Darren Creutz

  • Assistant Professor of Mathematics
  • Vanderbilt University

Education

  • Ph.D. Mathematics, University of California: Los Angeles
  • M.A. Mathematics, University of California: Los Angeles
  • B.A. Mathematics with Honors & Computer Science, Williams College
  • 2011
  • 2006
  • 2003

Research

Research Areas: Ergodic Theory of Group Actions, Rigidity Theory, Algebraic and Topological Groups
Doctoral Advisor: Professor Yehuda Shalom, University of California: Los Angeles
Postdoctoral Advisor: Professor Vaughan Jones, Vanderbilt University

Publications

  • Character Rigidity for Lattices and Commensurators (in review) Nov 2013
    Darren Creutz and Jesse Peterson
  • Stabilizers of Actions of Lattices in Products of Groups (in review) May 2013
    Darren Creutz
  • Stabilizers of Ergodic Actions of Lattices and Commensurators (in review) August 2012
    Darren Creutz and Jesse Peterson
  • A Normal Subgroup Theorem for Commensurators of Lattices Groups, Geometry and Dynamics (to appear)
    Darren Creutz and Yehuda Shalom
  • Mixing on Stochastic Staircase Transformations (in review) September 2013
    Darren Creutz
  • Mixing on Rank-One Transformations Studia Mathematica August 2010
    Darren Creutz and Cesar Silva
  • Mixing on a Class of Rank-One Transformations J. Ergodic Th. & Dyn. Sys. March 2004
    Darren Creutz and Cesar Silva
  • Commensurated Subgroups and the Dynamics of Group Actions on Quasi-Invariant Measure Spaces Doctoral Dissertation June 2011
    Darren Creutz
  • Rank-One Mixing and Dynamical Averaging Honors Thesis June 2001
    Darren Creutz

Awards and Honors

  • Robert Sorgenfrey Distinguished Teaching Award UCLA 2010
  • VIGRE Instructorship UCLA 2010
  • VIGRE Fellowship UCLA 2005-2009
  • SMALL Research Internship Williams College 2001-2004

Talks

  • Operator-Algebraic Superrigidity for Lattices AMS Special Session on Classification Problems in Operator Algebras, Baltimore Maryland 15 Jan 2014
  • Operator Algebraic Superrigidity for Lattices and Commensurators Northwestern University 3 Dec 2013
  • Rigidity for Characters on Lattices and Commensurators Vanderbilt University 30 Oct 2013
  • Character Rigidity for Lattices and Commensurators Vanderbilt University 27 Sep 2013
  • Stabilizers of Ergodic Actions of Product Groups and Lattices in Products Shanks Workshop on von Neumann Algebras and Ergodic Theory, Vanderbilt University 28 Apr 2013
  • Stabilizers of Actions of Groups and Invariant Random Subgroups Vanderbilt University 26 Apr 2013
  • Stabilizers of Actions of Product Groups and Lattices in Product Groups Vanderbilt University 5 April 2013
  • Mixing on Rank-One Transformations Vanderbilt University 25 Jan 2013
  • Stabilizers of Ergodic Actions of Lattices and Commensurators University of California: San Diego 16 Nov 2012
  • Poisson Boundaries, Harmonic Functions and Random Walks on Groups Vanderbilt University 9 Nov & 5 Dec 2012
  • Stabilizers of Ergodic Actions of Lattices and Commensurators Vanderbilt University 19 Sep 2012
  • Stabilizers of Ergodic Actions of Lattices and Commensurators Williams College Ergodic Theory Conference 28 July 2012
  • Stabilizers of Ergodic Actions of Lattices and Commensurators UCLA Workshop on von Neumann Algebras and Ergodic Theory 26 May 2012
  • Stabilizers for Ergodic Actions of Commensurators Vanderbilt University 6 April 2012
  • The Property (T) “Half” of the Margulis-Zimmer Conjecture Vanderbilt University 29 Feb 2012
  • Property (T) for Certain Totally Disconnected Groups Related to a Conjecture of Margulis and Zimmer Vanderbilt University 17 Feb 2012
  • SAT Actions and Rigidity of Lattices Vanderbilt University 30 Nov 2011
  • Normal Subgroups of Commensurators of Lattices Vanderbilt University 9 Nov 2011
  • Normal Subgroups of Commensurators and Rigidity of SAT Actions Vanderbilt University 26 Aug & 2 Sep & 9 Sep 2011
  • Dynamics of SAT Actions CalTech 2 May 2011
  • Normal Subgroups of Commensurators and Rigidity of SAT Actions University of California: Los Angeles 6 Apr & 13 Apr 2011
  • Normal Subgroups and Rigidity for Commensurators Vanderbilt University 28 Feb 2011
  • Quasi-Invariant Group Actions University of California: Los Angeles 18 Feb 2011
  • Normal Subgroups of Commensurators and SAT Actions CalTech 20 Jan 2011
  • A Normal Subgroup Theorem for Commensurators Yale University 15 Nov 2010
  • Mixing, Random Sequences and Rank-One Transformations Northwestern University 9 Nov 2010
  • Normal Subgroup and Factor Theorems for Commensurators University of Illinois: Chicago 8 Nov 2010
  • A Normal Subgroup Theorem for Commensurators of Lattices AMS Western Meeting 9 Oct 2010
  • Superstability and Finite-Time Extinction for Semigroups University of California: Los Angeles 27 Apr 2010
  • Poisson Boundaries and Their Applications University of California: Los Angeles Jan 2009
  • Rank-One Actions, Mixing and Singular Spectra University of California: Los Angeles Mar 2007

Teaching Experience

  • Instructor, Differential Equations with Linear Alegbra Vanderbilt University Fall 2014
  • Instructor, Probability and Statistical Inference Vanderbilt University Fall 2014
  • Instructor, Single Variable Calculus Vanderbilt University Summer 2014
  • Instructor, Ergodic Theory of Group Actions Vanderbilt University Spring 2014
  • Instructor, Multivariable Calculus Vanderbilt University Fall 2013
  • Instructor, Single-Variable Calculus Vanderbilt University Summer 2013
  • Instructor, Introduction to Analysis Vanderbilt University Spring 2013
  • Instructor, Ordinary Differential Equations Vanderbilt University Fall 2012
  • Instructor, Introduction to Analysis Vanderbilt University Spring 2012
  • Instructor, Accelerated Single-Variable Calculus II Vanderbilt University Fall 2011
  • Instructor, Probability & Programming Review UCLA Winter 2011
  • Instructor, Undergraduate “Boot Camp” UCLA Summer 2010
  • Instructor, Integration and Infinite Series UCLA Spring 2010

Work Experience

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