My research is in algebraic combinatorics. Here are some papers and presentations.

• 1. Temperley-Lieb immanants (paper with Mark Skandera). Ann Comb. 9 no. 4, (2005), 451-495.
  • Totally nonnegative f-immanants related to the Temperley-Lieb algebra (presentation).

    Presented at the 16th International Conference on Formal Power Series and Algebraic Combinatorics. Vancouver, Canada. June, 2004.

• 2. Immanants and Positivity (presentation).
  Presented at the York University Applied Algebra Seminar. Toronto, Canada. February, 2005.

  Presented at the University of Minnesota Combinatorics Seminar. Minneapolis, MN. March, 2005.

  Presented at the 1st Graduate Student Combinatorics Conference. Minneapolis, MN. April, 2005.

• 3. Kazhdan-Lusztig immanants (paper with Mark Skandera). J. Alg. 2, no. 304, (2006), 793-811.
  • Kazhdan-Lusztig immanants and Schur functions (presentation).

    Presented at the 17th International Conference on Formal Power Series and Algebraic Combinatorics. Taormina, Italy. June, 2005.

• 4. A Generalization of the Cayley-Hamilton Theorem (presentation). Presented at the 17th International Conference on Formal Power Series and Algebraic Combinatorics. Taormina, Italy. June, 2005.

• 5. Kazhdan-Lusztig immanants and products of matrix minors, II (paper with Mark Skandera). Accepted, Journal of Linear and Multilinear Algebra, 2007.
  Kazhdan-Lusztig immanants and products of matrix minors, II (presentation).

  Presented at the Universtiy of Minnesota Junior Combinatorics Seminar. Minneapolis, MN. Nov., 2005.

  Presented at the 2nd Graduate Student Combinatorics Conference. Madison, WI. April, 2006.

  Presented at the 18th International Conference on Formal Power Series and Algebraic Combinatorics. San Diego, CA. June, 2006.

• 6. Kazhdan-Lusztig immanants and the Cayley-Hamilton Theorem (paper). In preparation, 2007.
• 7. Kazhdan-Lusztig immanants III: Transition matrices between canonical bases of immanants (paper with Mark Skandera). In preparation, 2007.
  • Triangularity and Immanants (presentation).

    Presented at the University of Kansas Combinatorics Seminar. Lawrence, KS. Sept. 2006.

    Presented at the University of Minnesota Combinatorics Seminar. Minneapolis, MN. Sept. 2006.

    Presented at the University of Washington Combinatorics Seminar. Seattle, WA. Nov. 2006.

    Presented at the University of California - Berkeley Combinatorics Seminar. Berkeley, CA. Dec. 2006.

    Presented at the 3rd Graduate Student Combinatorics Conference. Seattle, WA. April, 2007.

    Presented at the 19th International Conference on Formal Power Series and Algebraic Combinatorics. Tianjin, China. July, 2007.

• 8. Cyclic Sieving, Promotion, and Representation Theory. In preparation, 2008. Also, my Ph.D. thesis.
  • Cyclic Sieving, Promotion, and Representation Theory (presentation)

    Presented at the University of Minnesota Combinatorics Seminar. Minneapolis, MN. Sept., 2007.

    Presented at the University of Michigan Combintorics Seminar. Ann Arbor, MI. Oct., 2007.

    Presented at the MIT Combinatorics Seminar. Cambridge, MA. Nov., 2007.

    Presented at the Northeastern University Geometry, Algebra, and Singularities Seminar. Boston, MA. Nov., 2007.

    Presented at the San Francisco State University Algebra-Geometry-Combinatorics Seminar. San Francisco, CA. Feb., 2008.

    Presented at the University of California - Berkeley Representation Theory, Geometry, and Combinatorics Seminar. Berkeley, CA. April, 2008.

    Presented at the University of California - Davis Combinatorics Seminar. Davis, CA. May, 2008.

    My thesis defense at the University of Minnesota. Minneapolis, MN. June, 2008.

• 9. Promotion and Cyclic Sieving via Webs. (paper with Kyle Petersen and Pasha Pylyavskyy) Submitted, 2008.