- 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:

Calculus: Thursday 1-2, Friday 3-4

Topology: Monday 4:20-5:20,

Tuesday 1-2

And by appointment.

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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. I was a visiting scientist at the Max Planck Institute for
Mathematics from January-August 2014.

This semester I am teaching Math 500
(Topology) and Math 104
(Calculus).

Next spring I will teach Math 560/730, a topics course on knot
theory and low-dimensional topology.

I am interested in geometric
and low-dimensional topology.

The Classification of
V-Transverse Knots and Loose Legendrians, (with V. Chernov.)

The Number of Framings of a
Knot in a 3-Manifold, (with V. Chernov and R. Sadykov.) Submitted.

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.

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.