Seamus Albion Ferlinc
I am a postdoc at the Institute of Mathematics, Physics and Mechanics (IMFM) in Ljubljana, Slovenia where my mentor is Matjaž Konvalinka. I finished my PhD in June 2025 at the University of Vienna where my advisor was Christian Krattenthaler.
Sem asistent na Inštitutu za matematiko, fiziko in mehaniko v Ljubljani. Moj mentor je Matjaž Konvalinka. Doktoriral sem na Univerzi na Dunaju, kjer je bil moj mentor Christian Krattenthaler.
My research interests lie in algebraic combinatorics and special functions, with a particular emphasis on symmetric functions.
Moja raziskovalna področja so algebraična kombinatorika in specialne funkcije, s poudarkom na simetričnih funkcijah.
From October 2026 I will be a postdoc at the Faculty of Mathematics and Physics in Ljubljana, Slovenia funded by an Erwin Schrödinger fellowship of the Austrian Science Fund (FWF) for the project Modular Littlewood identities (project number J5095).
Email: seamus.albion at imfm.si or at univie.ac.at
Preprints
- S. Albion Ferlinc and J. J. Wen, Ext operators for wreath Macdonald polynomials, submitted, arXiv:2508.10772, (pdf).
- S. Albion, Character factorisations, z-asymmetric partitions and plethysm, Combinatorial Theory, to appear, arXiv:2501.18520 (pdf).
Publications
- S. P. Albion, E. M. Rains and S. O. Warnaar, Elliptic An Selberg integrals, Constructive Approximation, online first arXiv:2306.02442 (pdf).
- S. Albion, T. Eisenkölbl, I. Fischer, M. Gangl, H. Höngesberg, C. Krattenthaler and M. Rubey, A generalization of conjugation of integer partitions, The Electronic Journal of Combinatorics 32 (2025), Article P2.37. (doi) arXiv:2407.16043 (pdf)
- S. P. Albion, I. Fischer, H. Höngesberg and F. Schreier-Aigner, Skew symplectic and orthogonal characters through lattice paths, European Journal of Combinatorics 122 (2024), article 104000. arXiv:2305.11730 (pdf)
- S. P. Albion, Proof of some Littlewood identities conjectured by Lee, Rains and Warnaar, Proceedings of the American Mathematical Society, Series B 11 (2024) 133–146. arXiv:2108.12766 (pdf) (pdf)
- 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
- A modular (q,t)-Nekrasov–Okounkov formula and wreath Macdonald polynomials, with J. J. Wen, Proceedings of FPSAC 2026 (Seattle), forthcoming.
- Character factorisations, z-asymmetric partitions and plethysm, Proceedings of FPSAC 2024 (Bochum), Séminaire Lotharingien de Combinatoire 91B (2024), Article 22, 12pp. (journal webpage)
- 2-core Littlewood identities, Oberwolfach Reports 57/2022
- MPhil thesis: Selberg integrals of Alba–Fateev–Litvinov–Tarnopolsky type (pdf)
Selected talks
- A modular (q,t)-Nekrasov–Okounkov formula and wreath Macdonald polynomials: FPSAC 2026, University of Washington, Seattle, 13th-17th July, 2026
- Elliptic An Selberg integrals: Algebraic Combinatorics, Special Functions and Representation Theory, A conference celebrating Ole Warnaar's mathematics, University of Queensland, 14th-18th July, 2025
- Cores, quotients and symmetric functions: Seminar za diskretno matematiko, Fakulteta za matematiko in fiziko, Univerza v Ljubljani, April 22nd, 2025
- 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 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