Assistant Professor
Department
of Mathematics and Computer Science
Dickinson College
P.O. Box 1773
Carlise, PA 17013
241 New Tome
phone: (717) 245-1334
fax: (717) 245-1642
koss@dickinson.edu
Ph.D. in Mathematics, 1998.
University of North Carolina
at Chapel Hill
Thesis Advisor: Professor
Jane Hawkins
Thesis Title: Ergodic
and Bernoulli Properties of Analytic Maps of Complex Projective Space
M.A. in Mathematics Education, 1992.
Teachers College, Columbia
University
B.A. in Computer Science, 1989.
Columbia College, Columbia
University
Teaching Experience
Associate Professor, Department of Mathematics and Computer Science, Dickinson College. 2005 - present.
Assistant Professor, Department of Mathematics and Computer Science, Dickinson College. 1998 - 2005.
Graduate Student Instructor, Department of Mathematics, UNC at Chapel Hill. 1992 - 1998.
Mathematics Instructor, Johns Hopkins University Center for Talented Youth. Summers 1995 - 1996.
Mathematics Teacher, The Brearley School, New York, NY. 1989 -
1991.
Papers
With. J. Hawkins, Connectivity Properties of Julia Sets of Weierstrass Elliptic Functions, Topology and its Applications, Vol. 152, Issues 1-2 ( 2005), 107-137.
With. J. Hawkins, Parametrized Dynamics of the Wieierstrass Elliptic Function, Conf. Geo. and Dyn., 8 (2004), 1 - 35.
With. J. Hawkins, Ergodic Properties and Julia Sets of Weierstrass Elliptic Functions, Monatsh. Math. 137 (2002) 4, 273-300.
With J. Barnes, A Julia Set that is Everything, Math. Magazine, 76 (2003) 4, 255 - 263.
Ergodic and Bernoulli Properties of Analytic Maps of Complex Projective Space, Trans. Amer. Math. Soc., Vol 354 (2002), 2417-2450.
With J. Barnes, One-Sided Lebesgue BernoulliMaps of the Sphere
of
Degree n^2 and 2n^2, Internat. J. Math. Math. Sci., Vol. 23,
No. 6 (2000), 383 - 392.
Professional Talks and Presentations
Dynamics of the Weierstrass
Elliptic Function, Seminar on Dynamics and Related Topics,
George Washington University, July 8, 2004.
Complex Iteration and Julia Sets,
Swarthmore College Mathematics and Statistics Colloquium, February 10,
2004.
Connectivity Properties of
Julia Sets of Weierstrass Elliptic Functions, AMS Sectional
Meeting, Special Session on Measurable, Complex, and Symbolic Dyanmics,
Chapel Hill, NC, October 24 - 25, 2003.
Parametrized Dynamics of the Weierstrass Elliptic Function, First Joint Meeting of the AMS/RSME, Seville, Spain, June 18 - 21, 2003.
Dynamics of the Weierstrass Elliptic Function, University of Pennsylvania Geometry-Topology Seminar, Philadelphia, PA, February 13. 2003.
Parameter Spaces of the Wierstrass Elliptic Function, AMS
Regional
Meeting, Special Session on Ergodic Theory and Dynamical
Systems, Boston, MA, October 5 - 6, 2002.
Dynamics of the Weierstrass Elliptic Function, AMS Regional Meeting, Special Session on Ergodic Theory, Williamstown, MA, October 13 - 14, 2001.
Julia Sets and Chaos, Washington and Lee University Mathematics Department Colloquium, Lexington, VA, May 15, 2001.
Bernoulli Partitions for toral endomorphisms and complex base
expansionsMiniconference
on Tilings of the Plane and Complex Dynamics,
UNC Chapel Hill, November 4, 2000.
Bernoulli Properties of a Class of Rational Mapsof the Sphere, Bryn Mawr/Haverford College Math Colloquium, Bryn Mawr, PA, April 24, 2000.
Bernoulli Properties of Complex DynamicalSystems.' AMS Summer Reserach Institute in Smooth Ergodic Theory, Seattle, WA, August 1-5, 1999.
Ergodic Theory of Analytic Maps of P^1andP^2.
Joint Meetings of the AMS and MAA, Special Session on Smooth
Ergodic
Theory and Related
Areas, Baltimore, MD, January 7 - 10, 1998.
Ergodic Theory of Analytic Maps of Complex Projective Space.
Joint Meetings of the AMS and MAA, AWM Workshop Poster Session,
Baltimore,
MD, January 7 - 10, 1998.
Measure-theoretic Properties of Analytic Maps of P^1andP^2.
AMS Regional Meeting, Special Session on Complex and Algebraic
Dynamics
and
Applications, Atlanta, GA, October 17 - 19, 1997.
Analytic Bernoulli Maps of P^1 and P^2. Erwin Schroedinger Institute, Vienna, Austria, July 1997.
A Construction of Ergodic Analytic Maps ofCP^2. AMS Regional meeting, Special Session on Complex Dynamics, Greensboro, NC, Nov. 17 - 18, 1995.
Honors and Awards
Principal Investigator for Bernoulli Properties of Complex
Dynamical
Systems. NSF/RUI Analysis Program,
Award #9970575, $41,715, 1999-2002.
Dana Student Intern grant for an undergraduate research project on fractiles in the plane. 2001-2002.
Project NExT (New Experience in Teaching) Fellow. 1998 - 1999.
Linker Teaching Award in Mathematics, Nominee. 1997 - 1998 and 1996 - 1997.
Graduate Assistance in Areas of National Need Grant, U.S. Department of Education. 1993 - 1996, 1997 - 1998.
Professional Memberships
American Mathematical Society
Association for Women in Mathematics
Mathematical Association of America
Campus Responsibilities
Planning and Budget Committee: 2001 -
Queensland Study Abroad Advisory Committee: 2001 -
Sexual Assault Awareness Workshop Presenter: 2001
Student Science Research Symposium Organizer: 1999-2001
NSB Community Open House Organizer: 2000
NSB Parent Weekend Open House Organizer: 1999 -
Kappa Alpha Theta Sorority Advisor: 1999 -
Global Executive Committee: 1999 -
Science Executive Committee: 1999- 2001
A Day in the Life Panelist 1999 - 2000
Putnam Team Coordinator: 1998 - 2000
MCM Team Coordinator: 1999
Major and Freshman Advising: 1998 -