- Curriculum Vita (Spring 2001) (postscript)(pdf)
Graduate Advisor
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.
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.
Counter examples to minimal entropy rigidity in the Finsler category normalized by symplectic volume, joint with B. Colbois and P. Verovic, submitted December 2006.
- 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.
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Ergodic theory of Bowen-Margulis measure on exotic hyperbolic spaces,
In
revision.
Master's Thesis Students:
Current:
Blake Rector
Title: Characterizations of Solenoidal Groups
Graduated:
2006 Jeremy Jankans
Thesis title: Invariant Quaternion Algebras and Kleinian Groups
Currently: Ph.D. student, University of California, Irvine
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
Currently: Student, Ph.D. student, University of Illinois, Chicago
- Finsler Newsletter
- U.C. Davis PrePrint Server: DS, DG, MG, SG
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Teaching
Current Courses: Fall 2007Math 109: Modeling with Algebra
Math 561B: Real Analysis II
Spring 2007
Math 119B: Calculus for Life Sciences II
Math 561A: Real Analysis I
Past Courses
Fall 2006
Math 119A: Survey of Calculus I
Math 444: Abstract Algebra
Fall 2005
Math 122: Calculus I
Math 550B: Topology II
Math 112: College Algebra for the Sciences
Math 112: College Algebra
Math 550A: Topology I
Fall 2004
Spring 2003
Math 247: Introduction to Linear AlgebraMath 562B: Complex Analysis II
Fall 2002
Math 444: Introduction to Abstract Algebra
Math 562A: Complex Analysis ISpring 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.