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
Preprints
- S. P. Albion, E. M. Rains and S. O. Warnaar, Elliptic An Selberg integrals, arXiv:2306.02442 (pdf).
- S. P. Albion, I. Fischer, H. Höngesberg and F. Schreier-Aigner, Skew symplectic and orthogonal characters through lattice paths, arXiv:2305.11730 (pdf).
- S. P. Albion, Proof of some Littlewood identities conjectured by Lee, Rains and Warnaar arXiv:2108.12766 (pdf) (more up-to-date than the arXiv), to appear in Proceedings of the American Mathematical Society, Series B.
Publications
- S. P. Albion, Universal characters twisted by roots of unity, Algebraic Combinatorics 6 (2023), 1653–1676. arXiv:2212.07343 (pdf) (journal webpage)
- S. P. Albion, E. M. Rains and S. O. Warnaar, AFLT-type Selberg integrals, Communications in Mathematical Physics 388 (2021), 735–791. arXiv:2001.05637 (pdf)
Also see this list on the arXiv.
Other writing
- Character factorisations, z-asymmetric partitions and plethysm, extended abstract for a poster at FPSAC24, Ruhr-Universität Bochum, Germany
- 2-core Littlewood identities, Oberwolfach Reports 57/2022
- MPhil thesis: Selberg integrals of Alba–Fateev–Litvinov–Tarnopolsky type (pdf)
Selected talks
- Character factorisations and the Littlewood map: 67th Conference of the Australian Mathematical Society, University of Queensland, Brisbane, Australia, December 5th, 2023
- (Elliptic) An Selberg integrals: Arbeitsgemeinschaft Diskrete Mathematik, TU Wien & Universität Wien, October 17th, 2023 (board talk)
- Character factorisations and the Littlewood map: 90th Séminaire Lotharingien de Combinatoire (Bad Boll, Germany), September 3rd, 2023
- Universal character factorisations: Séminaire Combinatoire et Théorie des Nombres, Université Lyon 1, February 28th, 2023 (slides)
- Universal character factorisations: Arbeitsgemeinschaft Diskrete Mathematik, TU Wien & Universität Wien, January 17th, 2023 (slides)
- 2-core Littlewood identities: Oberwolfach workshop Enumerative Combinatorics, December 13th, 2022
- 2-core Littlewood identities: JMM 2022 AMS Special Session on Early Career Number Theory Research with Combinatorics, Modular Forms, and Basic Hypergeometric Series, April 9th, 2022
- 2-core Littlewood identities: Séminaire Lotharingien de Combinatoire 87, Domaine de la Barollière, Saint-Paul-en-Jarez, France April 5th, 2022
- Elliptic An Selberg integrals: SFB Statusseminar, December 1st, 2021
- 2-core Littlewood identities: SFB meeting, JKU Linz, August 9th, 2021 (slides)
- Selberg integrals and symmetric functions: Arbeitsgemeinschaft Diskrete 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)
Some events
- 90th Séminaire Lotharingien de Combinatoire (Bad Boll, Germany) September 3–6, 2023
- Elliptic Integrable Systems, Representation Theory and Hypergeometric Functions, (University of Tokyo, Japan) July 31–August 4, 2023 (website) (poster I presented)
- FPSAC 2023 (UC Davis, USA) July 17–21, 2023
- Workshop Enumerative Combinatorics (Oberwolfach, Deutschland) December 12–16, 2022
- 88th Séminaire Lotharingien de Combinatoire (Strobl, Austria) September 4–7, 2022
- Algorithmic and Enumerative Combinatorics (Vienna, Austria) July 4–8, 2022
- Workshop on Integer Partitions at the Nesin Matematik Köyü (Nesin Mathematics Village) (Şirince, Türkiye) May 30–June 5, 2022
- 87th Séminaire Lotharingien de Combinatoire (Saint-Paul-en-Jarez, France) April 3–6, 2022
- 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, Slovenija) 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