EDUCATION
 

April 1996		Ph.D. in Mathematics, University of Maryland, College Park, Maryland
		Thesis: "Mapping class group actions on the SU(2)-representation varieties of compact surfaces".
		Advisor: William Mark Goldman
		Research specialization: Symplectic geometry and algebra, combinatorial group theory, Hamiltonian dynamical systems.
May 1987		M.A. in Applied Mathematics Temple University, Philadelphia, Pennsylvania
May 1984		B.S. in Engineering Technology Temple University, Philadelphia, Pennsylvania

RESEARCH PUBLICATIONS

• Anosov mapping class actions on the SU(2)-representation variety of a punctured torus, Ergod. Th. & Dynam. Sys. (1998), 18, 539-54.
• Generating quadratic pseudo-Anosov mapping classes of closed surfaces, Geom. Dedicata. (2003), 97, 129-150.
• Mapping class actions on moduli spaces, Int. J. Pure Appl. Math. (2003), 9, 89-97.
• The algebraic entropy of the special linear character automorphisms of a free group on two generators, Trans. AMS. (2007), 359, no. 4, 1445-1470.
• The polynomial degree of the special linear characters of a free group on two generators, submitted for review.
• The special linear character variety of a free group, submitted for review.
• Automorphisms of the Fricke characters of free groups, in preparation.
• Mapping class actions on the SU(2)-moduli of a twice punctured torus, in preparation.
• Homology representations of the Siegel modular group, in preparation.
• Symplectic geometry: A Gromov perspective.  Preliminary version of a graduate text evaluated favorably by Cambridge University Press., in preparation.

RESEARCH REVIEWS - in Mathematical Reviews

• MR2026843:  Leinenger, C., "Equivalent curves in surfaces", Geom. Dedicata 102, (2003), 157--177.
• MR2044554:  Parker, J., "Tetrahedral decomposition of punctured torus bundles", Lond. Math. Soc. Lec. Notes 299, (2003), 275--291.
• MR2131019:  de Carvalho, A., "Extensions, quotients, and generalized pseudo-Anosov maps", Proc. Symp. Pure Math. 73 (2005), 315--338.
• MR2134085:  Lomelí, H., "Symplectic homogeneous diffeomorphisms, Cremona maps and the jolt representation", Nonlinearity 18 (2005), no. 3, 1065--1071.
• MR2151930   Solari, H. and Natiello, M., "Minimal periodic orbit structure of 2-dimensional homeomorphisms", J. Nonlinear Sci. 15 (2005), no. 3, 183--222.
• MR2181766   Bowditch, B., "Hausdorff dimension and dendritic limit sets", Math. Ann. 332 (2005), no. 3, 667--676.

CONFERENCE ORGANIZATION

• Chair and organizer:  Special Session "The dynamics of mapping class groups and moduli spaces"  Joint Meetings of the AMS/MAA, Atlanta, GA, January 2005.

DIRECTED STUDENT RESEARCH - at American University

• Yazigi, D., "Quadratic polynomial automorphisms of R³", Summer Undergraduate Research Project, Summer 2004.

GRANTS - at Johns Hopkins University

• with MacDonald, B., and Khan, S., "A fully interactive, lecture-based online Calculus course", 2006 Technology Fellowship Program, The Center for Educational Resources.

AWARDS
 

January 1994

Excellence in Teaching Award  Department of Mathematics, University of Maryland

TALKS

– Johns Hopkins University, Baltimore, MD

January 2008	Focus Group for AMS Task Force on the First-Year Mathematics Experience, Joint Mathematics Meetings, San Diego, California
December 2007	Assistant Dean for Advising Search Committee, Zanvyl Krieger School of Arts and Sciences
Summer 2006	Task Force on Academic Ethics panel member
Fall 2005-Present	Development of summer online versions of Calculus I, II, III, and Linear Algebra courses
Fall 2005	Undergraduate Committee Chair

– American University, Washington, DC   

Fall 2003	Graduate Studies Committee
February 2003	Ronald E. McNair Scholarship Program Selection Committee
Fall 2002/Spring-Fall 2003	AU Department of Math/Stat Colloquium Organizer
Spring-Fall 2003	Course Coordinator, Finite Mathematics - Elementary Models
Spring-Fall 2003	Course Coordinator, Applied Calculus
June/October 2001	Academic Code Review Panel
March 2000	Freshman Day Recruiter

RECENT COURSES TAUGHT

– Johns Hopkins University, Baltimore, MD

Dynamical Systems	Undergraduate level (Senior)
Calculus I, II and III	Undergraduate level - both Honors and regular
Ordinary Differential Equations	Undergraduate level (Sophomore)

– American University, Washington, DC

Topology	Graduate level
Partial Differential Equations	Graduate level
Ordinary Differential Equations	Undergraduate level
Linear Algebra	Undergraduate level
Calculus	Freshman level
Applied Calculus	Freshman level (Harvard Method)
Finite Mathematics	Freshman level (Regular, Business, and Elementary Models (01/2002))

OTHER ACADEMIC EXPERIENCE

TECHNICAL EXPERIENCE

PROFESSIONAL AND PERSONAL ASSOCIATIONS

• American Mathematical Society

• American Association of Mathematics

• Friend of the Board of Directors, Takoma Park Child Development Center, Takoma Park, MD