Jason Bandlow

Jason Bandlow
picture of jason

Contact Information:

I have left Penn, and am currently a software engineer at Google. You can reach me at jbandlow at gmail dot com.

Teaching:

For the spring semester of 2011, I taught Math 103. Course information, including complete lecture notes, are available below:

Research:

My research is in the field of algebraic combinatorics. In particular, I have spent a lot of time trying to understand the combinatorics of symmetric functions, including Macdonald polynomials, Hall-Littlewood polynomials, k-Schur functions, Grothendieck polynomials, Schubert polynomials, and other related objects.

Some Papers/Preprints:

  1. Combinatorial expansions in K-theoretic bases (with Jennifer Morse).

  2. The Murnaghan-Nakayama rule for k-Schur functions (with Anne Schilling and Mike Zabrocki).

  3. A new proof of a theorem of Littlewood (with Michele D'Adderio).

  4. On the uniqueness of promotion operators on tensor products of type A crystals (with Anne Schilling and Nicolas Thiéry).

  5. A new characterization for the m-quasiinvariants of S_n and explicit basis for two row hook shapes (with Gregg Musiker).

  6. An elementary proof of the hook formula.

  7. Combinatorics of Macdonald polynomials and extensions (doctoral dissertation under the direction of Adriano Garsia).

  8. Quasiinvariants of S_3 (with Gregg Musiker).

  9. A Weight Preserving Bijection Between Schroeder Paths and Schroeder Permutations (with Eric Egge and Kendra Killpatrick).

  10. An Area-to-Inv Bijection Between Dyck Paths and 312-avoiding Permutations (with Kendra Killpatrick).

Slides from recent talks:

Sage Worksheets

Sage is an excellent open-source mathematical software system. Below are some presentations on Sage that I have given, in the Sage notebook format.

Pictures

I've put some pictures I've taken on Flickr.