- Curriculum Vita (Spring 2001) (postscript)(pdf)
Associate Professor
Department of Mathematics and Statistics, California State University, Long Beach
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Visit me! Office: FO3, Room 218 Write to me! Call me! Email me! |
Education/Employment:
- S. Chowla Research Assistant Professor, 1998-2001, Center For Dynamical Systems, Department of Mathematics, Pennsylvania State University.
- Ph.D., Mathematics, 1998, University of Maryland, College Park.
Advisor: Professor Daniel J. Rudolph
- B.A. with honors in Mathematics; B.S. in Geophysics, 1992, University of California at Santa Cruz.
- MathSciNet (Site license required)
- CSULB Library
- UC Irvine Library
- Link+
My research lies in differential geometry and dynamical systems. More specifically, I study systems such as geodesic flows and isometric group actions, in which the geometry and the dynamics closely intertwine.
Counter examples to minimal entropy rigidity in the Finsler category normalized by symplectic volume, joint with B. Colbois and P. Verovic, Annals of Global Analysis and Geometry, October 2008
A Multiplier Theorem for Fourier Series in Several Variables, with Nakhle Akbar and Saleem Watson, Colloq. Math. 106 (2006), 221-230
Recounting the Odds of an Even Derangement, with Arthur T. Benjamin, and Curtis D. Bennett, Mathematics Magazine, December 2005, 387-390.
ps,pdf, Patterson-Sullivan measure for geometrically finite groups with parabolic elements acting on real rank 1 symmetric spaces, Geometria Dedicata 97, (2003) 215--249.
ps, pdf. Minimal entropy rigidity for Finsler manifolds of negative flag curvature, joint with J. Boland, Ergodic Theory and Dynamical Systems, 21 no.1, (2001) 13--23 .
Ergodic theory of Bowen-Margulis measure on exotic hyperbolic spaces, In revision.
Master's Thesis Students:
2008 Blake Rector
Thesis Title: Characterization of Solenoidal Groups
2006 Jeremy Jankans
Thesis title: Invariant Quaternion Algebras and Kleinian Groups
2005 Merrick Sterling
Thesis title: Geometric Coding of Geodesics on Surfaces of
Constant Negative Curvature
Currently: Lecturer, Cerritos Community College and CSULB
2004 Alison Williams
Thesis title: Equivalent statements of property (T)
Currently: Full time Professor, Santiago Canyon Community College
2004 Jason Karcher
Thesis title: Algebraic actions and the Borel Density Theorem
CSULB College of Natural Science Outstanding Thesis Award Winner
- Finsler Newsletter
- U.C. Davis PrePrint Server: DS, DG, MG, SG
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Teaching
Current Courses:
Spring 2009
Math 115: Calculus for Business
Math 561A: Real Analysis I
Past Courses:
Fall 2007
Math 109: Modeling with Algebra
Math 561B: Real Analysis II
Spring 2007
Math 119B: Calculus for Life Sciences II
Math 561A: Real Analysis I
Fall 2006
Math 119A: Survey of Calculus I
Math 444: Abstract Algebra
Fall 2005
Math 122: Calculus I
Math 550B: Topology II
Spring 2005
Math 112: College Algebra for the Sciences
Math 112: College Algebra
Math 550A: Topology I
Fall 2004
Math 112: College Algebra for the Sciences
Math 561B: Real Analysis II
Spring 2004
Math 233: Fundamentals Concepts for Advanced Math
Math 561A: Real Analysis I
Fall 2003
Math 122: Calculus I
Math 361A: Introduction to Mathematical Analysis I
Spring 2003
Math 247: Introduction to Linear Algebra
Math 562B: Complex Analysis II
Fall 2002
Math 444: Introduction to Abstract Algebra
Math 562A: Complex Analysis I
Spring 2002
Math 247: Introduction to Linear Algebra
Math 461: Introduction to Complex Analysis
Fall 2001
Math 444: Introduction to Abstract Algebra
Math 495: Hyperbolic Geometry
2001 Dolciani Project NExT Fellow
Preparing our Math Majors for the Future: Advice on Advising
A research project for math/education majors (Secondary Ed), Spring 2001.