Bailey Whitbread

I am an Australian graduate student in mathematics at the Sydney Mathematics Research Institute.
My CV is here and my GitHub is here.

My advisors are Geordie Williamson and Oded Yacobi.
My past advisors are Masoud Kamgarpour, Ole Warnaar and Anna Puskas.

Maths

Counting points on braid varieties and the Deligne–Simpson problem
Joint with Masoud Kamgarpour
Preprint

Counting points on generic character varieties
Joint with Stefano Giannini, Masoud Kamgarpour, GyeongHyeon Nam
Math. Res. Lett. 33 (2026), no. 2, 341–395
Preprint Journal

Thesis: Arithmetic Geometry of Character Varieties
Thesis: Hecke Algebras and Gelfand Pairs in Representation Theory
Code: tl_jones.py
Code: BraidStacks.jl
Code: CharacterVarieties.jl
Poster: Topology of Representation Spaces via Arithmetic

Talks

The Deligne-Simpson problem, braid stacks, and computers Algebraic Geometry in Melbourne
Spectroscopy for knots Annual Meeting of the AustMS
A purity conjecture for character varieties Representation Theory Down Under
Counting points on character varieties Joint Meeting of the NZMS, AustMS and AMS
(This talk was runner-up for most outstanding talk by a student at the joint meeting. Stefano Giannini and I gave the talk together.)
Character varieties APAC Seminar
Polynomials in the variable \(p\) AMSI Summer School
Character varieties in arbitrary type Annual Meeting of the AustMS
Arithmetic geometry of representation spaces Glasgow Algebra and Number Theory Seminar
Counting points on the representation variety Annual Meeting of the AustMS
Hecke algebras and Gelfand pairs in representation theory Undergraduate Final Talk

Service and tutoring

Research committee member for the University of Sydney School of Mathematics and Statistics
Co-organiser for the UQ Maths Graduate Student Seminar (2 years)
Co-organiser for a lecture series on the Weil conjectures
Marker for the Simon Marais Mathematics Competition (2 years)
President and vice president of the UQ Mathematics Students Society (2 years)

MATH3303 (lead tutor, 5 years), MATH2401 (lead tutor, 2 years),
MATH1071 (lead tutor, 2 years), MATH1061 (lead tutor and lecture tutor, 2 years)
+ marked final exams for 1st and 2nd year maths courses (5 years)

About Me

[Photo] Character Varieties and Higgs Bundles
[Photo] Matrix Workshop on AI for Mathematics
[Photo] Representation Theory Down Under
[Photo] Heron Island Workshop on Geometry and Representation Theory

I play Tetris.