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).  If you have questions about these courses please feel free to email me or check out the websites from previous years at the bottom of this page.

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:

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.

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.