The University of Queensland
29 JUNE – 10 JULY

COVID-19 Event Update

In light of the evolving COVID-19 situation and implementation of countermeasures by Federal and State Governments, AMSI and Winter School 2020 hosts The University of Queensland are conforming to public health directives aimed at reducing the spread of infection throughout the community.

Health and wellbeing of our community is of paramount importance to us. Therefore the AMSI Winter School on New Directions in Representation Theory will not be staged in accordance with the intended July 2020 schedule. We are currently exploring all possibilities to host this program at a later date and will provide updates via AMSI websites and social media channels, Facebook and Twitter.

Students who have already submitted their applications will be contacted directly regarding refund of registration fees.

We thank all of our partners including The University of Queensland, SMRI and MSRI for their support during this challenging time.

New Directions in Representation Theory

Representation Theory has undergone a revolution in recent years, with the development of what is now known as higher representation theory. In particular, the notion of categorification has led to the resolution of many problems previously considered to be intractable.

The Winter School will introduce participants to two key strands of modern representation theory, Modular representation theory of finite groups and Reductive algebraic groups and character formulae.

Each strand will begin by providing students with a brief but thorough introduction to the topic in the first week, followed by a second week in which selected more recent development will be covered in sufficient depth to give participants at least a glimpse of higher representation theory. The structure means that participants will gain exposure to some aspects of high representation theory as a culmination, tying the two strands together.


Hosted over two weeks, this program offers a range of specialist topics with overarching themes including classical group theory, character theory, homological algebra, lie groups and algebraic groups.  This year’s impressive expert speaker line-up draws upon the knowledge of national and international lecturers at the forefront of their fields, and attracts students from Australia and overseas. In 2020, AMSI is proud to also partner with the Mathematical Sciences Research Institute in America to host 20 of their best and brightest students.

To maximise the experience, the school aims to feature prominent international and domestic speakers, researchers and lecturers as well as a number of program extras including social events, a special guest public lecture and a diversity in STEM panel event.


Introduction to the block theory of finite group algebras

Professor Radha Kessar (City, University of London)

Modular representations of symmetric groups

Professor Joe Chuang (City, University of London)

Introduction to linear algebraic groups

Dr Ting Xue (The University of Melbourne)

Modular representations of algebraic groups

Professor Geordie Williamson (University of Sydney Mathematical Research Institute)

Travel Grants

AMSI offers travel, accommodation and caring relief assistance for students and attendees affiliated with AMSI member institutions. Those attending from regional Queensland and interstate are encouraged to apply for an AMSI travel grant.

Key Dates

Program and grant applications close
(Travel Grants available to students studying in Australia at AMSI Member Universities)
Students advised of program and grant application outcomes