Patricia Cahn




  1. 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

  2. Office Hours:

    On leave from Penn.
    Feel free to email me!

  3. Links:

    Penn AWM
    Blackboard
    MathSciNet
    Arxiv
    AMS
    AWM
    Penn In Touch
    Courses In Touch

Patricia Cahn

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.


Research


I am interested in geometric and low-dimensional topology. 

Publications and Preprints:

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).


Teaching



At Penn:

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)

At Dartmouth:

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.