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.

This will be a broad seminar with a wide variety of topics. EVERYONE IS WELCOME. See the web page for more information.

Teaching: Semester I 2025

MAST10005 Calculus 1
         Lecture: Monday 14:00-15:00 JH Michell Theatre Peter Hall building
         Lecture: Wednesday 16:00-17:00 Copland Theatre B01, The Spot Building
         Lecture: Friday 16:00-17:00 JH Michell Theatre Peter Hall Building
       See the timetable link on the handbook page for the practice classes.

Teaching: Semester II 2025

MAST90030 Advanced Discrete Mathemetics
         Lecture: Wednesday 10:00-11:00 Evan Williams Theoatre Peter Hall Building
         Lecture: Thursday 10:00-11:00 Evan Williams Theoatre Peter Hall Building
         Lecture: Friday 9:00-10:00 Evan Williams Theoatre Peter Hall Building

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,
The Mathematical Intelligencer (2022) https://doi.org/10.1007/s00283-022-10230-w
arxiv2203.00223.

A paper in tribute to Ian G. Macdonald, presented at FPSAC 2024 Bochum, Germany.

Ian G. Macdonald: Works of Art, Sém. Lothar. Combin. 91B (2024), Art. 0, 26 pp.
arxiv2408.01704.

For other recent research papers about Macdonald polynomials see the page Oeuvres.

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