Research

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

MAST10006 Calculus 2
         Lecture: Monday 13:00-14:00 JH Michell Theatre Peter Hall Building,
         Lecture: Wednesday 13:00-14:00 JH Michell Theatre Peter Hall Building,
         Lecture: Friday 13:00-14:00 JH Michell Theatre Peter Hall Building,
       See the timetable for the practice classes.

MAST30026 Metric and Hilbert Spaces
       Lecture: Monday 9:00-10:00 Russell Love Theatre Peter Hall Building,
       Lecture: Wednesday 9:00-10:00 Russell Love Theatre Peter Hall Building,
       Lecture: Friday 10:00-11:00 Russell Love Theatre Peter Hall Building,
       Practice class: One per week, see the timetable.

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 hook formulas.

Gypsy Akhyar, Yifan Guo and Lihexuan Yuan, Boxes and Polynomials, to appear in The Mathematical Intelligencer, arxiv2203.00223.

Joint papers with Laura Colmenarejo, Tom Halverson, Zajj Daugherty and Weiying Guo about Macdonald polynomials:

c-functions and Macdonald polynomials (with Laura Colmenarejo) In memory of Georgia Benkart,
arXiv2212.03312
Monk rules for type GL_n Macdonald polynomials (with Tom Halverson) In memory of Georgia Benkart,
arXiv2212.04032
Set-valued tableaux for Macdonald polynomials (with Zajj Daugherty) In memory of Georgia Benkart,
arXiv2212.04033
Comparing formulas for type GL_n Macdonald polynomials, and Supplement (with Weiying Guo) dedicated to Hélène Barcelo,
Algebraic Combinatorics (ALCO), 5 (2022) 849-883 and 885-923, DOI: 10.5802/alco.227 and DOI: 10.5802/alco.228.
arXiv2104.02942 and arXiv2104.04578.

2. The first of my Math is not broken series is now available.

Limits and topologies, preprint 2019, arXiv????.

3. 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