My research is in
Combinatorial representation theory.
H. Barcelo and I have written a survey article about this field,
its main questions and the main results:
Combinatorial representation theory , (with H. Barcelo),
which appeared in the special volume in conjunction with the special
year 1996-1997 in Combinatorics at MSRI in Berkeley:
New perspectives in algebraic combinatorics
(Berkeley, CA, 1996--97),
23--90, Math. Sci. Res. Inst. Publ., 38 ,
Cambridge Univ. Press, Cambridge, 1999.
Teaching: Semester I 2022
Some recent projects
1. Our students have recently
completed a paper which gives an inspring entrée to the world of
Macdonald polynomials via usual, quantum and elliptic
A joint paper with Weiying Guo about Macdonald polynomials is available.
Gypsy Akhyar, Yifan Guo and Lihexuan Yuan,
Boxes and Polynomials,
2. The third in a series of papers on representations of
affine Lie algebras is now available:
Positive level, negative level and level zero,
(with Finn McGlade and Yaping Yang),
to appear in the special volume in conjuction with the conference
International Festival in Schubert Calculus, Sun-Yat Sen University,
Guangzhou China, 5-11 November 2017.
The Steinberg-Lusztig tensor product theorem, Casselman-Shalika and LLT polynomials,
(with Martina Lanini), preprint 2018
appeared in Representation Theory 23 (2019) 188-204
A Fock space model for decomposition numbers for quantum groups at roots of
(with Martina Lanini and Paul Sobaje),
Kyoto J. Math 59 Number 4 (2019), 955-991
3. The first of my
Math is not broken
Limits and topologies, preprint 2019,
4. The following work was performed in Melbourne 31 July 2018. It was presented by THE INSTITUTE FOR ENQUIRING MINDS. Special thanks to Ruth Höflich and Rachel Wilson and the wonderful audience.
The transcript of the lecture is available:
'Maybe I Could ...' lecture transcript.
4. The following work was performed in Melbourne 20 July 2017 and
(in an improved version) in Basel (11 March 2018) and in Munich (16 March 2018).
Last updated: April 4, 1935