Darren Creutz
 Associate Professor of Mathematics
 U.S. Naval Academy
Positions
 Associate Professor of Mathematics, U.S. Naval Academy
 Assistant Professor of Mathematics, U.S. Naval Academy
 Assistant Professor of Mathematics, Vanderbilt University
 Research Assistant, University of California: Los Angeles
 2023–
 2016–2023
 2011–2016
 2007–2011
Education
 PhD Pure 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, Symbolic Dynamics, Lattices in Lie Groups, RankOne Transformations
Publications

On minimal subshifts of linear word complexity with slope less than 3/2
Darren Creutz and Ronnie Pavlov 
Low Complexity Subshifts have Discrete Spectrum
2023
Darren Creutz and Ronnie Pavlov Forum of Mathematics, Sigma (to appear) 
MeasureTheoretically Mixing Subshifts of Minimal Word Complexity
Darren Creutz 
Word Complexity of (MeasureTheoretically) Weakly Mixing RankOne Subshifts
2023
Darren Creutz Ergodic Theory and Dynamical Systems (to appear) 
Stabilizers of Stationary Actions of Lattices in Semisimple Groups
2023
Darren Creutz Groups, Geometry and Dynamics (to appear) 
MeasureTheoretically Mixing Subshifts with Low Complexity
2022
Darren Creutz, Ronnie Pavlov and Shaun Rodock Ergodic Theory and Dynamical Systems 
Character Rigidity for Lattices and Commensurators
2022
Darren Creutz and Jesse Peterson American Journal of Mathematics 
Harmonic Functions on Compactly Generated Groups
2022
Darren Creutz International Journal of Mathematics 
Mixing on Stochastic Staircase Transformations
2021
Darren Creutz Studia Mathematica 
Stabilizers of Actions of Lattices in Products of Groups
2017
Darren Creutz Ergodic Theory and Dynamical Systems 
Stabilizers of Ergodic Actions of Lattices and Commensurators
2017
Darren Creutz and Jesse Peterson Transactions of the AMS 
Contractive Spaces and Relatively Contractive Maps
2016
Darren Creutz AMS Contemporary Mathematics 
A Normal Subgroup Theorem for Commensurators of Lattices
2014
Darren Creutz and Yehuda Shalom Groups, Geometry and Dynamics 
Mixing on RankOne Transformations
2010
Darren Creutz and Cesar Silva Studia Mathematica 
Mixing on a Class of RankOne Transformations
2004
Darren Creutz and Cesar Silva Ergodic Theory and Dynamical Systems 
Ergodic Theory of Group Actions
Darren Creutz Lecture Notes 
Commensurated Subgroups and the Dynamics of Group Actions on QuasiInvariant Measure Spaces
2011
Darren Creutz Doctoral Dissertation 
RankOne Mixing and Dynamical Averaging
2001
Darren Creutz Honors Thesis
Awards and Honors
 CoOrganizer, AMS Special Session on Classification Problems in Operator Algebras Joint Mathematics Meetings 2015
 Robert Sorgenfrey Distinguished Teaching Award University of California: Los Angeles 2010
 VIGRE Instructorship University of California: Los Angeles 2010
 VIGRE Fellowship University of California: Los Angeles 20052009
 SMALL Research Internship Williams College 20012004
Talks
 Workshop on Low Complexity Dynamical Systems (coorganizer) University of Maryland 26 Oct 2023
 Actions of Lattices in HigherRank Semisimple Groups University of Denver 26 May 2023
 Low Complexity Systems Nimitz Library, USNA 18 Apr 2023
 Word Complexity Cutoffs for Mixing Properties of Subshifts University of Maryland 13 Oct 2022
 Word Complexity Cutoffs for Mixing Properties of Subshifts U.S. Naval Academy 3 Oct 2022
 Word Complexity of RankOne Subshifts University of Denver 26 May 2022
 Low Complexity Subshifts admitting Mixing Measures AMS Special Session on ZeroDimensional Dynamics, University of Denver (Virtual) 14 May 2022
 Mixing Subshifts with Low Word Complexity Univeristy of Virginia 11 May 2022
 Low Complexity Subshifts U.S. Naval Academy 11 Apr 2022
 Continuous Actions of Lattices (in HigherRank Semisimple Groups) are Free U.S. Naval Academy 14 Oct 2021
 Continuous Actions of Lattices (in HigherRank Semisimple Groups) are Free University of Maryland 30 Sep 2021
 Complexity from Simplicity: Dimensions, Fractals and Chaos U.S. Naval Academy (online) 23 Feb 2021
 Ergodic Theory: The Mathematics of Experiment, Probability and Time U.S. Naval Academy 13 Nov 2019
 Mixing of Stochastic Staircase Transformations U.S. Naval Academy 21 Oct 2019
 Fractals and Dimension Annapolis Civitan Club 15 Aug 2019
 Mathematical Existence: A Philosophical Discussion U.S. Naval Academy 16 Apr 2019
 Harmonicity and energy of cocycles: (T) without ultraproducts nor conditionally negative type University of Virginia 5 Apr 2019
 Rigidity for actions and characters of lattices (in products of Lie groups) University of Virginia Colloquium 4 Apr 2019
 Relative Entropy and an Entropy Gap for Some Groups Without (T) Purdue University 15 Feb 2019
 How discontinuous can an integrable function be? U.S. Naval Academy 22 Jan 2019
 Completeness, Incompleteness, Consistency and Independence: GĂ¶del's revolutionizing of logic U.S. Naval Academy 11 Oct 2018
 Amenability of Stationary Actions of Lattices Vanderbilt University 6 Apr 2018
 Amenability of Stationary Actions of Lattices University of Virginia 30 Mar 2018
 A (potential) topological/C*algebra approach to rigidity for lattices (joint w/ M. Kalantar) U.S. Naval Academy 5 Mar 2018
 Stationary Actions of Lattices Brazos Analysis Seminar, University of Houston 4 Nov 2017
 Relativized Furstenberg Entropy and an Information Theory of Joinings U.S. Naval Academy 16 Oct 2017
 Set Theory Past ZFC: Large Cardinals, Forcing, and Independence U.S. Naval Academy 3 Apr 2017
 The Normal Subgroup Theorem for Lattices in Products (Property (T)) U.S. Naval Academy 6 Feb 2017
 The Normal Subgroup Theorem for Lattices in Products (Amenability) U.S. Naval Academy 23 Jan 2017
 Random Walks and Harmonic Functions on Groups U.S. Naval Academy 7 Nov 2016
 Ergodic Actions of Lattices in HigherRank Semisimple Groups University of Maryland 6 Oct 2016
 Mixing and RankOne Transformations U.S. Naval Academy 3 Oct 2016
 Character Rigidity for Lattices in Lie Groups U.S. Naval Academy 26 Aug 2016
 Rigidty Theory of Lattices in Semisimple Groups U.S. Naval Academy 3 Feb 2016
 The Information Theory of Joinings Vanderbilt University 22 Jan 2016
 Harmonic Maps on Groups and Property (T) Noncommutative Geometry and Operator Algebras Spring Institute 6 May 2015
 CoOrganizer, Special Session: Classification Problems in Operator Algebras AMS Joint Mathematics Meetings 11 Jan 2015
 OperatorAlgebraic 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 Apr 2013
 Mixing on RankOne 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 Jul 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 Apr 2012
 The Property (T) “Half” of the MargulisZimmer 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 & 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
 QuasiInvariant 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 RankOne 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 FiniteTime Extinction for Semigroups University of California: Los Angeles 27 Apr 2010
 Poisson Boundaries and Their Applications University of California: Los Angeles Jan 2009
 RankOne Actions, Mixing and Singular Spectra University of California: Los Angeles Mar 2007
Teaching Experience
 Calculus III U.S. Naval Academy Spring 2023
 Calculus III U.S. Naval Academy Fall 2022
 Calculus III U.S. Naval Academy Spring 2022
 Complex Variables U.S. Naval Academy Spring 2022
 Calculus III U.S. Naval Academy Fall 2021
 Calculus III (split classroom hybrid) U.S. Naval Academy Spring 2021
 Calculus II (online) U.S. Naval Academy Fall 2020
 Calculus III (online) U.S. Naval Academy Summer 2020
 Calculus III U.S. Naval Academy Spring 2020
 Calculus II U.S. Naval Academy Fall 2019
 Real Analysis (Honors) U.S. Naval Academy Fall 2019
 Calculus III U.S. Naval Academy Spring 2019
 Calculus II U.S. Naval Academy Fall 2018
 Calculus II U.S. Naval Academy Spring 2018
 Calculus I U.S. Naval Academy Fall 2017
 Differential Equations U.S. Naval Academy Spring 2017
 Calculus III with Vector Fields U.S. Naval Academy Fall 2016
 Modern Algebra U.S. Naval Academy Fall 2016
 Mathematical Theory of Statistics Vanderbilt University Spring 2016
 Probability and Statistical Inference Vanderbilt University Fall 2015
 SingleVariable Calculus I Vanderbilt University Fall 2015
 Probability and Statistics for Engineering Vanderbilt University Summer 2015
 Probability and Statistical Inference Vanderbilt University Spring 2015
 Differential Equations with Linear Alegbra Vanderbilt University Spring 2015
 Probability and Statistical Inference Vanderbilt University Fall 2014
 Differential Equations with Linear Alegbra Vanderbilt University Fall 2014
 Single Variable Calculus Vanderbilt University Summer 2014
 Ergodic Theory of Group Actions Vanderbilt University Spring 2014
 Multivariable Calculus Vanderbilt University Fall 2013
 SingleVariable Calculus Vanderbilt University Summer 2013
 Introduction to Analysis Vanderbilt University Spring 2013
 Ordinary Differential Equations Vanderbilt University Fall 2012
 Introduction to Analysis Vanderbilt University Spring 2012
 Accelerated SingleVariable Calculus II Vanderbilt University Fall 2011
 Probability & Programming Review University of California: Los Angeles Winter 2011
 Advanced Topics for Undergraduates University of California: Los Angeles Summer 2010
 Integration and Infinite Series University of California: Los Angeles 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