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Darren Creutz

  • PhD Candidate, Pure Mathematics
  • Department of Mathematics
  • University of California, Los Angeles

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 (Expected)
  • 2006
  • 2003

Research

  • Advisor:
  • Research Areas:
  • Prof. Yehuda Shalom
  • Ergodic Theory of Group Actions; Boundary Theory

Publications

  • Darren Creutz and Cesar Silva. Mixing on Rank-One Transformations.
    Studia Mathematica (to appear). February 2010.
  • D. Creutz, M. Mazo Jr. and C. Preda. Superstability and Finite Time Extinction for C0-Semigroups.
    (under review). July 2010.
  • Darren Creutz and Cesar Silva. Mixing on a Class of Rank-One Transformations.
    Journal of Ergodic Theory and Dynamical Systems. March 2004.
  • Darren Creutz. Rank-One Mixing and Dynamical Averaging.
    Honors Thesis (Williams College). June 2001.

Awards and Honors

  • 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 (2005-2009)
  • SMALL Research Internship, Williams College (Summers 2001-2004)
  • Sigma Xi, Williams College (2001)

Talks

  • Superstability and Finite-Time Extinction for Semigroups. UCLA Functional Analysis Seminar (April 2010)
  • Poisson Boundaries and Their Applications. UCLA Functional Analysis Seminar (January 2009)
  • Rank-One Actions, Mixing and Singular Spectra. UCLA Functional Analysis Seminar (March 2007)

Teaching Experience

  • 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, Linear and 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.
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