Mathematics
Darren Creutz
- PhD Candidate, Pure Mathematics
- Department of Mathematics
- University of California, Los Angeles
- Office: Math Sciences 2951
- Email: dcreutz :at: math.ucla.edu
Teaching
Instructor for Math 97: Undergraduate Warmup
Fields of Interest
Dynamics of Group Actions on Measure Spaces; Ergodic Theory; Boundary Theory.
Roughly speaking, my interest is in understanding and classifying the dynamical possibilities of systems where “time” is allowed to be an arbitrary group and “space” is treated as a probabilistic object.
Publications
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Mixing on Rank-One Transformations
February 2010
Studia Mathematica (to appear)
Darren Creutz and Cesar Silva
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Superstability and Finite Time Extinction for C0-Semigroups
July 2010
(under review)
D. Creutz, M. Mazo Jr. and C. Preda
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Mixing on a Class of Rank-One Transformations
March 2004
J. Ergodic Theory & Dynamical Systems
Darren Creutz and Cesar Silva
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Rank-One Mixing and Dynamical Averaging
June 2001
Honors Thesis (Williams College)
Darren Creutz
Education
Ph.D. Candidate in Pure Mathematics at the University of California, Los Angeles (expected completion 2011) studying under Prof. Yehuda Shalom.
Awarded the Master of Arts in Pure Mathematics by UCLA in 2006.
Bachelor of Arts in Mathematics with Honors and Computer Science conferred by Williams College in 2003.
