Research

Those who are interested can read an essay I wrote for nonexperts about one area of my research (support varieties for Lie superalgebras). You can also learn more about my research and other activities by looking at my curriculum vita

Publications

  1. Generalized trace and dimension functions on ribbon categories
    2. (with N. Geer and B. Patureau-Mirand), preprint.
  2. Degenerate Affine Hecke-Clifford Algebras and Type Q Lie Superalgebras
    3. (with D. Hill and J. Sussan), submitted.
  3. Complexity and module varieties for classical Lie superalgebras
    4. (with B. Boe and D. Nakano), submitted.
  4. Cohomology and support varieties for Lie superalgebras
    5. (with B. Boe and D. Nakano), Trans. Amer. Math. Soc., to appear.
  5. Cohomology and support varieties for Lie superalgebras, II
    6. (with B. Boe and D. Nakano), Proc. London Math. Soc., 98 (2009), no. 1, 19–44.
  6. On Kostant’s theorem for Lie algebra cohomology
    7. (with UGA VIGRE Algebra Group), Cont. Math. 478 (2009) 39-60.
  7. Cohomology and support varieties for the Lie superalgebra W(n)
    8. (with I. Bagci and D. Nakano), Int. Math. Res. Not. IMRN 2008, Art. ID rnn115, 42 pp.
  8. Support varieties for Weyl modules over bad primes
    9. (with UGA VIGRE Algebra Group), J. Algebra, 312 (2007), no 2., 602-633.
  9. The Steinberg tensor product theorem for GL(m|n)
    10. Cont. Math. 413 (2006), 123-132.
  10. Representation type of Schur superalgebras
    11. (with D. Hemmer and D. Nakano), J. Group Theory 9 (2006), no 3., 283-306.
  11. Crystal structures arising from representations of GL(m|n)
    12. Represent. Theory 10 (2006), 49–85.
  12. Varieties of nilpotent elements for simple Lie algebras II: bad primes
    13. (with UGA VIGRE Algebra Group), J. Algebra 292 no 1. (2005), 65-99.
  13. A new proof of the Mullineux conjecture
    14. (with J. Brundan), J. Algebraic Combin. 18 no 1. (2003), 13–39.