Department of Mathematics
David Rittenhouse Lab.
209 South 33rd Street
Philadelphia, PA 19104-6395.
8-7835 on campus
pcahn (at) math (dot) upenn (dot) edu
Office: DRL 4C7
By appt. Summer 2013
Penn In Touch
Courses In Touch
I am a Hans Rademacher Instructor of Mathematics
at the University of
Pennsylvania, working in low-dimensional and geometric
I received my PhD from Dartmouth
College in 2012, where my advisor was Vladimir Chernov.
I received my BA in Mathematics, and a minor in music, from Smith
College in 2006.
I am interested in geometric
and low-dimensional topology.
Generalization of the Turaev Cobracket and the Minimal
Self-Intersection Number of a Curve on a Surface. To appear in New York J. Math. (2013)
Intersections of Loops and the Andersen-Mattes-Reshetikhin Algebra, (with V. Chernov.) To appear in Journal of the London Mathematics Society. (2013)
1. Vassiliev Invariants of
Virtual Legendrian Knots, (with A.
Permutation Notations for
the Exceptional Weyl Group F_4,
(with R. Haas, A. G. Helminck, J. Li, and J. Schwartz.)
Involve, Vol. 5 (2012), No. 1,
Color-Permuting Automorphisms of Cayley Graphs, (with M. Albert, J. Bratz, T. Fargus, N. Haber, E. McMahon, J. Smith, S. Tekansik). Congressus Numerantium 190, November 2008, pp. 161-171.
Unfolding Smooth Prismatoids, (with N. Benbernou and J. O'Rourke).
Math 500: Topology (Fall 2013)
Math 240: Calculus, Part III (Fall 2013)
Math 420: Ordinary Differential
Equations (Fall 2012)
Math 32: The Shape of Space, Winter 2012: A course in intuitive geometry and topology for mathematics majors.
31: Topics in Algebra,
Fall 2010: A course in
introductory group and ring theory for mathematics majors.
Math 1: Calculus with Algebra, Fall 2009: An introductory calculus course beginning with a review of precalculus.