dcreutz.com | Curriculum Vitae

Research Areas: Ergodic Theory of Group Actions, Rigidity Theory, Algebraic and Topological Groups

Advisor: Professor Yehuda Shalom, University of California: Los Angeles

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

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 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

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