Organisers:
Dionne Ibarra (Monash University)
Joan Licata (Australian National University)
Gabriel Montoya-Vega (CUNY Graduate Center, USA)

Program Description:
The three-week research program will bring together world leading specialists in different areas of knot theory, both from Australia and internationally, for a focused research program that will encourage collaboration between mathematicians at all career stages.

The first two weeks will be focused exclusively on research between small groups between five to seven people consisting of PhD students, early career researchers, and renowned scientists. Some of the research topics included are the generalization of the Kauffman-Harary conjecture, the long exact sequence of Khovanov homology, complexity of computing extreme Khovanov homology, and the interplay between characteristic varieties, skein modules, ?-polynomials, quantum invariants, and hyperbolic geometry.

The third week will consist of a conference with up to twenty participants in total. Specifically, the conference will focus on studying the latest trends on link invariants including virtual links, Khovanov homology, the colored Jones polynomial, and links in 3−manifolds. The participants and key speakers are carefully chosen considering their likely future research collaboration. Aiming to strengthen the diversity and gender equity in the scientific collaborations between the knot theory community in Australia and the rest of the world, amongst the participants there will be female early career researchers and female senior researchers, PhD students, and scientists from Australia, Europe, Asia, and the USA.

Program Structure:
 

Participant List:
Rhea Palak Bakshi (The Institute for Theoretical Studies, ETH Zürich)
Lizzie Buchanan (The University of Iowa)
Ben Burton (The University of Queensland)
Zsuzsanna Dancso (University of Sydney)
Ali Guo (The George Washington University)
Dionne Ibarra (Monash University)
Hiroaki Karuo (Gakushuin University)
Louis Kauffman (University of Illinois at Chicago) (Online)
Thang T. Q. Le (Georgia Institute of Technology)
Joan Licata (Australian National University)
Daniel Matthews (Monash University)
Gabriel Montoya-Vega (The Graduate Center CUNY)
James Morgan (University of Sydney)
Sujoy Mukherjee (University of Denver)
Jozef Przytycki (The George Washington University)
Jessica Purcell (Monash University)
Yongwu Rong (Queens College, CUNY)
Marithania Silvero (Universidad de Sevilla)
Johnathan Spreer (University of Sydney)
Lecheng Su (Monash University)
Connie Hui (Monash University)
Emma McQuire (Monash University)
Thiago de Paiva Souza (Monash University)
Josh Howie (Monash University)
Corbin Reid (Monash University)
Grace Garden (University of Sydney)
Adele Jackson (University of Sydney)
Hans Boden (McMaster University)
Em Thompson (Monash University)
Damian Lin (University of Sydney)

Registration:

• Registration is now closed
• Arrival date: 2 June 2024
• Departure date: 21 June 2024

This MATRIX research program is partially supported by AMSI and AustMS through the AMSI-AustMS Workshop Funding program, and benefits from the SMRI International Visitor Program.

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 4 June 2024
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.