Darren Creutz
- Assistant Professor of Mathematics
- Vanderbilt University
- Office: Stevenson 1418
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
Advisor:
Professor Yehuda Shalom, University of California: Los Angeles
Publications
-
Commensurated Subgroups and the Dynamics of Group Actions on Quasi-Invariant Measure Spaces
Doctoral Dissertation
June 2011
Darren Creutz -
Normal Subgroups of (Dense) Commensurators of Lattices
(in preparation)
November 2010
Darren Creutz and Yehuda Shalom -
Mixing Properties of Random Sequences and “Stochastic Staircase” Transformations
(in review)
February 2011
Darren Creutz -
Harmonic Cocycles and Commensurated Subgroups
(in preparation)
November 2010
Darren Creutz and Yehuda Shalom -
Mixing on Rank-One Transformations
Studia Mathematica
August 2010
Darren Creutz and Cesar Silva -
Superstability and Finite Time Extinction for C0-Semigroups
(in review)
July 2010
D. Creutz, M. Mazo Jr. and C. Preda -
Mixing on a Class of Rank-One Transformations
J. Ergodic Th. & Dyn. Sys.
March 2004
Darren Creutz and Cesar Silva -
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
- 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 UCLA 6 & 13 April 2011
- Normal Subgroups and Rigidity for Commensurators Vanderbilt University 28 Feb 2011
- Quasi-Invariant Group Actions UCLA Logic Seminar 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 UCLA 27 Apr 2010
- Poisson Boundaries and Their Applications UCLA Jan 2009
- Rank-One Actions, Mixing and Singular Spectra UCLA Mar 2007
Teaching Experience
- 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
- Teaching Assistant, Linear Algebra UCLA Winter 2010
- Teaching Assistant, Theory of Numbers UCLA Spring 2009
- Teaching Assistant, Intro. Programming UCLA Winter 2009
- Teaching Assistant, Nonlinear Differential Equations UCLA Fall 2008
- Teaching Assistant, Intro. Probability Theory UCLA Spring 2008
- Teaching Assistant, Game Theory UCLA Winter 2008
- Teaching Assistant, Combinatorics UCLA Fall 2007
- Teaching Assistant, Stochastic Processes UCLA Spring 2007
- Teaching Assistant, Intro. Probability Theory UCLA Winter 2007
- Teaching Assistant, Intro. Probability Theory UCLA Fall 2006