Gregg Musiker

Welcome to my homepage. I am an NSF Postdoctoral Fellow in Mathematics at MIT working with Richard Stanley. I recently received my Ph.D. in Mathematics at the University of California at San Deigo, where I studied Combinatorics and topics in Arithmetic Geometry under the guidance of Adriano Garsia.



CONTACT INFO:

Gregg Musiker
Department of Mathematics, Room 2-332
Massachusetts Institute of Technology
77 Massachusetts Ave.
Cambridge, MA 02139

musiker (at) math.mit.edu
617-253-6770


PAPERS:
  • A Graph Theoretic Expansion Formula for Cluster Algebras of Classical Type (Updated June 19)
    (To appear in the Annals of Combinatorics) Also on Arxiv
    Also presented at FPSAC 2008.
  • Invariants, Kronecker Products and Combinatorics of some Remarkable Diophantine systems with Adriano Garsia, Nolan Wallach, and Guoce Xin
    (Abridged version to appear in Advances in Applied Mathematics)
  • The critical groups of a family of graphs and elliptic curves over finite fields
    Preprint also presented at FPSAC '07 at Tianjin, China.
    Also on Arxiv
  • A new characterization for the m-quasiinvariants of S_n and explicit basis for two row hook shapes with Jason Bandlow. (To appear in the Journal of Combinatorial Theory, Series A) Also on Arxiv
    Also presented at FPSAC 2008.
  • My Ph.D. Thesis- A Combinatorial Comparison of Elliptic Curves and Critical Groups of Graphs
  • Combinatorial Aspects of Elliptic Curves Seminaire Lotharingien de Combinatoire 56 (2007), Article B56f
    Also presented at FPSAC '06 at San Diego.
  • Combinatorial Interpretations for Rank-Two Cluster Algebras of Affine Type with Jim Propp
    Electronic Journal of Combinatorics. Vol. 14 (R15), 2007.
  • Quasiinvariants of S_3 with Jason Bandlow
    J. Combin. Theory Ser. A 109 (2005), no 2, 281-298
  • My undergraduate thesis - Cluster Algebras, Somos Sequences, and Exchange Graphs.


    SLIDES FROM SELECTED TALKS:
  • NEU - Representation Theory Seminar - March 14, 2008 (Also given at UMass Amherst on November 14, 2007, University of Pennsylvania on November 27, 2007, and MIT on April 14, 2008.)
  • MIT - Combinatorics Seminar - Sept 26, 2007
  • UCSD - Thesis Defense - May 29, 2007
  • UC Davis - April 27, 2007 (Alternate versions given at UC Berkeley on December 11, 2006,
    University of Kentucky on January 16, 2007, UCSD on February 6, 2007, and Dartmouth on February 9, 2007)
  • Recent Progress in Combinatorics on Words - CRM - March 14, 2007
  • FPSAC 2006 - June 19, 2006
  • UQAM - December 20, 2005 (Also given at UCSD on October 12, 2005 and October 13, 2005)
  • Joint Meetings of the AMS and MAA at Phoenix - January 9, 2004

    TEACHING AND EXPOSITORY:
  • Schoof's Algorithm for Counting Points on E(F_q) (Math 168 Project under direction of William Stein)
  • My Teaching Philosophy

    OTHER DOCUMENTS:
  • My CV (as of January 2007)
  • My Research Statement: Combinatorics of Elliptic Curve Groups and a Variety of Positivity Conjectures

    SOME LINKS:
  • Research Experiences in Algebraic Combinatorics at Harvard
  • IAS/Park City Mathematics Institute
  • ARCS Foundation
  • The Internet Movie Database
  • The Food Network