EPSRC Advanced Research Fellow from September 2006, on maternity leave from Aug 12, 2007 until Jan 28, 2008. New office phone: 7848 1443.
Representation Theory of Finite Groups:
6CCM351A/CM351A
Here are some recent papers / preprints :
with L. Williams ``Discrete Morse theory for totally non-negative flag varieties'', 30 pages, Advances in Mathematics, (2009), DOI: 10.1016/j.aim.2009.10.011, math.CO/0810.4314
``A mirror symmetric solution to the quantum Toda lattice'', 22 pages,
math.RT/0705.3202
with L. Williams ``The totally nonnegative part of G/P is a
CW complex'', 14 pages, Transformation
Groups, Vol. 13, Special volume in honor of B. Kostant's 80th birthday,
(2008), 839-953
math.AG/0802.0889
with D. Djokovic and K. Zhao
``Normal forms for orthogonal similarity classes of skew-symmetric
matrices'', J. Algebra, Vol. 308, no 2, (2007), 686-703,
Journal of Algebra,
math.RT/0603.245
``A mirror symmetric construction for qH*_T(G/P)_(q)'',
Advances in Mathematics, Vol 217, Issue 6, (2008), 2401-2442,
math.AG/0511.124
``Closure relations for totally nonnegative cells in G/P'',
Mathematical Research Letters, Vol. 13, Issue 5, (2006), 775-786,
MRL,
math.AG/0509137
``A mirror construction for the totally nonnegative
part of the Peterson variety",
Nagoya Mathematical Journal, Vol. 183 in honor
of G. Lusztig's 60th birthday (2006), 105-142,
ESI preprint 1674 and,
final version,
NMJ, math.AG/0604170
with R. Marsh ``Parametrizations of flag varieties'',
Representation Theory, Vol. 8, AMS (2004),
math.RT/0307017
``An introduction to perverse sheaves'' in: Representations
of Finite Dimensional Algebras and Related Topics in Lie Theory and
Geometry, Fields Institute Communications, Vol. 40, AMS (2004),
math.RT/0307349
``Total Positivity, flag varieties, and quantum cohomology''
in Proceedings of the Tenth General Meeting European Women in
Mathematics, World Scientific (2003) ps
``Totally positive Toeplitz matrices and quantum cohomology of partial
flag varieties'', J. Amer. Math. Soc, Vol. 16, AMS (2003),
math.QA/0112024,
JAMS,
(Erratum,
added 9/05)
with R. Marsh ``The intersection of opposed big cells in the real
flag variety of type $G_2$'', Proc. London Math. Soc, Vol 85, no. 3 (2002),
math.AG/0010239
``Quantum cohomology rings of Grassmannians and total positivity'',
Duke Mathematical Journal, Vol 110, no. 3 (2001), math.QA/0112022
``An algebraic cell decomposition of the nonnegative part of a flag variety'',
Journal of Algebra, Vol. 213 (1999),
alg-geom/9709035
