Seamus Albion

I am a PhD student at the University of Vienna where my advisor is Christian Krattenthaler. As such I am a member of the combinatorics group and the Vienna School of Mathematics. Before coming to Vienna I did my undergraduate and MPhil at the University of Queensland where my advisor was Ole Warnaar.

My research interests (at this stage) lie in special functions and combinatorics.

Email: seamus.albion at univie.ac.at

S. P. Albion, Proof of some Littlewood identities conjectured by Lee, Rains and Warnaar arXiv:2108.12766 (pdf 06/09/2021), submitted.
S. P. Albion, E. M. Rains and S. O. Warnaar, AFLT-type Selberg integrals, (pdf 27/08/2020) more recent than the arXiv version arXiv:2001.05637 to appear in Communications in Mathematical Physics.

Also see this list on the arXiv.

MPhil thesis: Selberg integrals of Alba–Fateev–Litvinov–Tarnopolsky type (pdf 24/09/2020)

2-core Littlewood identities: SFB meeting, JKU Linz, August 9th, 2021 (slides)
Selberg integrals and symmetric functions: Arbeitsgemeinschaft Discrete Mathematik, TU Wien & Universität Wien, June 29th, 2021 (notes)
What is a honeycomb?: MathWiSe seminar, October 9th, 2020 (website)
What is Dyson's contribution to q-series?: MathWiSe seminar, July 9th, 2020 (website)
Selberg integrals and the AGT conjecture: AustMS 2019 Mathematical Physics session, December 2019 (Monash) (slides)
AFLT-type Selberg integrals: UQ Pure Mathematics Seminar, November 2019.
Selberg integrals and symmetric functions: Talk at AEC Sommerschool 2019 (slides).
U-turn alternating sign matrices: Quantum Field Theory seminar (UQ) (notes)
The Selberg integral and Macdonald polynomials: AustMS 2018 Representation theory session, Adelaide 2018. I also gave talk for the UQ Pure Mathematics seminar (March 2019). (slides)
From symmetric functions to hypergeometric integrals: AustMS student conference, December 2018 (UniSA) (slides)
Kazhdan–Lusztig theory: Quantum Field Theory seminar (UQ) (October 2018)
Generalised Selberg integrals and Macdonald polynomials: This was my honours presentation. I also gave an abridged version of this talk at the AMSI Winter School. (May/July 2018) (slides)
The Littlewood–Richardson rule: Quantum Field Theory seminar (UQ) (May 2018)

Hypergeometry, Integrability, and Lie Theory (online, website) 7th – 11th December, 2020
New connections in integrable systems (online, website) September 29th – October 2nd, 2020
Australian Mathematical Society annual conference (Monash, Melbourne) 3rd-6th December, 2019
Algorithmic and Enumerative Combinatorics Sommerschool 2019 (Hagenberg, Austria) 29th July-2nd August, 2019
15th Symposium on Orthogonal Polynomials, Special Functions, and Applications (Hagenberg, Austria), 22nd-26th July, 2019
Formal Power Series and Algebraic Combinatorics 2019 (Ljubljana, Slovenia) 1st-5th July, 2019
Australian Mathematical Society annual conference (Adelaide) 4th-7th December, 2018
Australian Mathematical Society student conference (Adelaide) 28th-30th November, 2018
Rainsfest (UQ): A one-day workshop celebrating Eric Rains' birthday (website).
Quantum Field Theory Seminar (UQ): Participant and speaker 2017-2019
AMSI Winter School 2018 (UQ): The theme was curvature, and included short courses on conformal geometry, heat flow, and more.
AMSI Summer School 2018 (Monash): Courses in low-dimensional topology and mathematical relativity

At UQ I was a teaching assistant/tutor for several undergradute course including MATH2302 (Discrete Mathematics II) and MATH3303 (Algebra).

When I'm not doing mathematics I'm usually thinking about music.

I play saxophone with Jeremy Neale, and have played saxophone for Rinse and The John Steel Singers. You can hear me on SPOD's song Golden Gaytime.

I used to play clarinet in the UQ Symphony Orchestra. For a list of works I performed with them click here.