Date and Time
1:00pm-5:30pm (AEDT)
Wednesday the 16^th of December to Friday the 18^th of December 2020

Where: Zoom (details forthcoming)

Organisers:
Ajani De Vas Gunasekara (Monash University)
Georgina Liversidge (University of Auckland)
Robert Hickingbotham (Monash University)
Shasha Zheng (University of Melbourne)
Subhrajyoti Saha (Monash University)
Timothy Chan (Monash University)

Invited Speakers:
Tony Huynh (Monash University)
Nina Kamčev (Monash University)

Q & A Panelist: Life after PhD
Rosie Cameron (University of Canterbury)
Kevin Hendrey (DIMAG)
Trent Marbach (Ryerson University)

About:
Welcome to the 2020 Australasian Graduate Symposium in Combinatorics. Combinatorics is an area of mathematics concerned with the study of discrete mathematical structures such as graphs. This symposium intends to provide a networking opportunity for postgraduate students in combinatorics and discrete mathematics from the Australasian region. The program will consist of presentations from participants in combinatorics as well as a chance to collaborate with other graduate students. Undergraduate/honours students considering postgraduate study and graduates from abroad are also encouraged to register.

We will have tutorials to introduce our participants to tools from Matroid Theory and Sparse Ramsey Theory.

If you are interested in presenting a 15 minute talk at the symposium concerning either your research in combinatorics or an interesting open problem from the field, you can let us know when you fill out your registration

Contact:
If you have any questions, please don’t hesitate to contact the organisers at 2020agsc@gmail.com

Program Structure:
Wednesday 16^th of December: Chair for the day – Robert
1:00 Opening of Symposium (Robert)
1:10 – 2:40 Presentations from Participants

• 1:10 Jack Neubecker (University of Queensland) – Hamilton decompositions of two-ended infinite graphs
• 1:30 Billy Child (Monash University) – What happens to Birkhoff’s theorem in higher dimensions?
• 1:50 ~10-minute break~
• 2:00 Pankaj Kumar Manjhi (Vinoba Bhave University Hazaribag) – On Hadamard matrices and circulant Hadamard matrices
• 2:20 Michael Gill (Monash University) – 1-Factorisations: A question of efficient isomorphism

2:40-3:30pm Collaboration Session
3:30-4:00 Break
4:00-5:30 Tony Huynh (Monash University) – Applications of the matroid intersection theorem (for non-matroid theorist)

Thursday 17^th of December: Chair for the day – Ajani
1 – 2:30pm Presentations from Participants

• 1:00 James Bubear (RMIT) – Geometry of mutually unbiased bases in Dimension 6
• 1:20 Yudhistira Bunjamin (UNSW Sydney) – Constructing group divisible designs of block size 4 on at most 30 points
• 1:40 ~10-minute break~
• 1:50 Shashika Wijerathna (University of Peradeniya) – Congruences and partition functions
• 2:10 Vindya Warnakulasooriya (University of Peradeniya) – Generalised Hadamard matrices and generalised Hadamard graphs

2:30 – 3:30 Collaboration Session
3:30 – 4:00 Break
4:00 – 5:30 Nina Kamčev (Monash University) – Size Ramsey number
 
Friday 18^th of December: Chair for the day – Subhrajyoti and Tim
1-2:50pm Presentations from Participants

• 1:00 Robert Hickingbotham (Monash University) – Stacks are not more powerful than queues
• 1:20 Su-Ah Kwon (SUNY Korea) – Ore-type conditions for the existence of an even [a,b]-factor in a graph
• 1:40 ~10-minute break~
• 1:50 Umanda Abeysinghe (University of Peradeniya) – The chromatic polynomials of ladder graphs and circular ladder graphs
• 2:10 Pabasara Athukorala (University of Peradeniya) – In quest of a conjecture by Paul Erdös on the Subset-sum problem
• 2:30 Chinthaka Weerarathna (University of Peradeniya) – k-Factors of k-factorization of complete multipartite graphs

2:50-3:20 Collaboration Session
3:20-3:30 ~10-minute break~
3:30-4:00 Panel Discussion: Life after PhD?
4:00-5:30 Drinks and Social

Registration:

• Registration for this symposium has closed. If you would like to participate please contact the organisers at 2020agsc@gmail.com
• If you are interested in presenting a 15 minute talk at the symposium concerning either your research in combinatorics or an interesting open problem from the field, you can let us know when you fill out your registration.
• For those giving talks, you may choose to have it recorded and uploaded to our YouTube channel.

Sponsors:
This symposium is supported by MATRIX and AMSI.
To support post-symposium research collaboration between PhD student participants, MATRIX-AMSI are providing funding through the MATRIX-AMSI PhD Student Research Collaboration Scheme. https://www.matrix-inst.org.au/phd-student-research-collaboration-scheme-guidelines/