- Contact

Department of Mathematics

David Rittenhouse Lab.

209 South 33rd Street

Philadelphia, PA 19104-6395.

(215) 898-7835

8-7835 on campus

pcahn (at) math (dot) upenn (dot) edu

Office: DRL 4C7 - Office Hours:

On leave from Penn.

Feel free to email me!

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I am a Hans Rademacher Instructor of Mathematics
at the University of
Pennsylvania, working in low-dimensional and geometric
topology.
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.

Next fall I will be teaching Math 500 (Topology) and Math 104 (Calculus).

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.

A
Generalization of Turaev's Virtual String Cobracket. (Submitted)

Vassiliev Invariants of
Virtual Legendrian Knots, (with A.
Levi.) To appear in Pacific J. Math.

A
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.

Undergraduate work:

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 500: Topology (Fall 2013, Fall 2014)

Math 240: Calculus, Part III (Fall 2013)

Math 420: Ordinary Differential
Equations (Fall 2012)

Math 104: Calculus, Part I (Fall 2012, Spring 2013, Fall 2014, Spring 2015)

Math 32: The Shape of Space, Winter 2012: A course in intuitive geometry and topology for mathematics majors.

Math
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.