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
On leave from Penn.
Feel free to email me!
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 will be at the Max Planck Institute for Mathematics in Bonn, Germany from January 1 until August 15, 2014.
I am interested in geometric
and low-dimensional topology.
Vassiliev Invariants of
Virtual Legendrian Knots, (with A.
Levi.) To appear in Pacific J. Math.
Generalization of the Turaev Cobracket and the Minimal
Self-Intersection Number of a Curve on a Surface. New York J. Math. 19 (2013), 253–283.
Intersections of Loops and the Andersen-Mattes-Reshetikhin Algebra, (with V. Chernov.) J. Lond. Math. Soc. (2) 87 (2013), no. 3, 785–801.
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,
81–89. (NCSU REU)
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. (Lafayette REU)
Unfolding Smooth Prismatoids, (with N. Benbernou and J. O'Rourke). (Preprint from summer research at Smith College).
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.