• 2025– : Lecturer in Applied Mathematics, mathematical physics group,  U Glasgow
• 2024: Postdoctoral researcher in mathematical physics,  DESY, Hamburg, Germany
• 2021–23: Postdoctoral researcher in mathematical physics,  IPhT, Saclay (near Paris), France
• 2018–21: Postdoctoral researcher in mathematical physics,  U Melbourne, Australia
• 2016–18: Postdoctoral researcher in mathematical physics,  Chalmers & U Gothenburg, Sweden
• 2012–16: PhD at the Institute for Theoretical Physics [thesis: On elliptic quantum integrability: vertex models, solid-on-solid models and spin chains, 2016],  Utrecht U, the Netherlands
• 2009–12: MSc Mathematical Sciences [thesis: Algebraic aspects of the Berezinian, 2012] and Theoretical Physics [thesis: The Bethe/gauge correspondence, 2012],  Utrecht U, the NL
• 2006–09: BSc Mathematics and Physics & Astronomy [thesis: Smooth infinitesimal analysis, 2009], Utrecht U, the NL

I am a mathematical physicist, combining motivation, intuition and interpretation from theoretical physics with powerful algebraic techniques and deep structural understanding from representation theory.

My research area is called quantum integrability. Specifically, I am interested in the interplay between

• the structure of the solutions of the Bethe ansatz equations  (Heisenberg) and its behaviour under deformations;
• quantum spin chains with long-range interactions  (Heisenberg, Inozemtsev, Haldane–Shastry),
• quantum many-body systems  (Calogero–Sutherland, Ruijsenaars–Macdonald),
• representation theory  (affine Hecke algebras, quantum groups, their Schur–Weyl dualities),
• and in particular the elliptic case  (Baxter–Belavin, Felder).

I am also interested in

• diagrammatic methods in algebra, as most of my papers attest;
• the structure of the solutions to the Bethe-ansatz equations of the Heisenberg spin chain, studied through its integrable deformations.

All of my papers and preprints can be found on arXiv. See also my profiles on INSPIRE-HEP and especially StackExchange.

Research groups

• Integrable systems & mathematical physics

List by: Type | Date

• 2026–27: INI-HIMR Network support for the Classical and Quantum Integrability network
• 2025–26: LMS Scheme 3 Network support for the Classical and Quantum Integrability network
• 2021–23: Postdoctoral fellowship (personal grant, 2021), theme: mathematics and theoretical physics,  LabEx Mathématique Hadamard, France

I welcome enquiries to supervise research students with interests in

Long-range quantum integrability (PhD)

Spin chains are models for magnetic materials based on quantum mechanics. While research often assumes interactions between the spins of adjacent atoms only, long-range spin interactions are relevant for cutting-edge experiments, quantum information and computing, and theoretical high-energy physics. If you like algebra or representation theory, and think you might want to help develop the powerful toolkit of quantum integrability in the long-range context, please send me an email!

Several possible projects are available, and can be tailored towards your experience and interests; a background in physics is not required. Keywords for possible topics are: Hecke algebras, Macdonald polynomials, quantum groups, elliptic generalisations, spin chains, quantum many-body systems.

If are applying for a PhD position with the Algebra, Geometry and Quantum Fields EPSRC Centre for Doctoral Training and would like to work with me, you might want to indicate some of the keywords mentioned above or in the section Research Interests. You may wish to apply simultaneously for a PhD position directly at our School.

Current PhD students

• Dilda, Francesco
  Algebra and Category Theory, Mathematical Physics
• McPake, Gary
  Hecke algebras in number theory and mathematical physics

Past PhD co-supervision

• 2023–24, with Jean-Sébastien Caux: Rebekka Koch [thesis: Bound states in integrable models, 2024], Institute of Physics,  U Amsterdam, the NL
• 2022–25, with Didina Serban: Adel Ben Moussa [thesis: Quantum integrability and long-range spin chains],  IPhT, France
• 2020–23, with Paul Zinn-Justin: Ajeeth Gunna [thesis: Combinatorics of symmetric functions through lattice models, 2024],  U Melbourne, Australia
• 2016–21, with Hjalmar Rosengren: Linnea Hietala [thesis: Combinatorics of solvable lattice models with a reflecting end, 2021],  Chalmers & U Gothenburg, Sweden

MSc supervision

• 2025–26: Bailey Campbell [MSci thesis: The algebraic Bethe ansatz and the representation of quantum spin chains],  U Glasgow
• 2025: Liangjie Gao [MSc thesis: Quantum spin chains],  U Glasgow
• 2025: Jiaxi Lu [MSc thesis: Representation theory of symmetric groups and Lie algebras in quantum spin chains],  U Glasgow
• 2025, with Anna Puskás: Gary McPake [summer research project on seminormal bases for Hecke algebras],  U Glasgow
• 2022, with Didina Serban: Adel Ben Moussa [M2 thesis: Tensor polynomial representations of the affine Hecke algebra of type GL_n, 2022],  IPhT, France
• 2022, with Didina Serban: Ayman Toufik [M2 thesis: q-deformed Haldane–Shastry spin chain at the free fermion point, 2022],  IPhT, France
• 2020–21, with Rob Klabbers: Simon Lentz [MSc thesis: Exact eigenstates of the Inozemtsev spin chain, 2021],  KTH Stockholm, Sweden
• 2013–14, with Gleb Arutyunov: Rob Klabbers [MSc thesis: Inozemtsev's elliptic spin chains: asymptotic Bethe ansatz and thermodynamics, 2014],  Institute for Theoretical Physics, Utrecht U, the NL
• 2012–13, with Gleb Arutyunov: Robert J Rodger [MSc thesis: A pedagogical introduction to the AGT conjecture, 2013],  Institute for Theoretical Physics, Utrecht U, the NL

BSc supervision

• 2026: Ewan Galloway [summer research project on Temperley–Lieb algebras], U Glasgow

• 2025, Fall: Maths 1 (Liebeck side),  U Glasgow
• 2025, Spring: Maths 1 (Stewart side),  U Glasgow

Prior

• 2023: Introduction to quantum integrability (PhD) [videos],  IPhT, France
• 2019: Schur functions and Schur processes, taught by Ole Warnaar, and Quantum integrability and symmetric polynomials, taught by Paul Zinn-Justin, Virginia Integrable Probability Summer School 2019,  U Virginia, US
• 2017: Quantum and classical particle systems (PhD), with Jakob Björnberg,  Chalmers & U Gothenburg, Sweden
• 2014–15: Seminar on mathematical aspects of QFT (PhD),  Utrecht U, the NL
• 2014: Introduction to quantum integrability (PhD) [lecture notes], Modave summer school in mathematical physics,  Modave, Belgium
• 2014: Introduction to higher-spin gauge theory (MSc), taught by Mikhail Vasiliev [lecture notes], Utrecht U, the NL
• 2013: Seminar on quantum-integrable models (MSc) [mirror], organised together with André Henriques and Gleb Arutyunov,  Utrecht U, the NL
• 2013: Field theory in particle physics (MSc), taught by Bernard de Wit and Eric Laenen,  Utrecht U, the NL

Organisation

Upcoming:

• 2027 (August), with Sascha Gehrmann, Jesper Jacobsen, Elli Pomoni, Volker Schomerus, Didina Serban: co-organiser of summer school Exact methods: from lattice models to string theory,  Institut d'Études Scientifiques, Cargèse, Corsica, France
• 2027 (June), with Ada Chan, Nicolas Crampé, Olya Mandeshtam, Luc Vinet: co-organiser of workshop Multivariate orthogonal polynomials, in algebraic combinatorics and mathematical physics: new and future connections, Banff International Research Station, Banff, Canada

Current and past:

• 2025–: co-organiser of the Glasgow Open Salon for Arts and Sciences
• 2025–: lead coordinator for the LMS and INI-HIMR Classical and Quantum Integrability network
• 2025–: co-organiser for the Edinburgh-Glasgow joint integrability seminar
• 2025–, with Anton Izosimov: co-organiser of the Integrable Systems and Mathematical Physics (ISMP) seminar,  U Glasgow
• 2025 (March 20–21), with Misha Feigin and Christian Korff: co-organiser of QCI workshop Hecke algebras and integrability,  U Glasgow

Other

• 2026-: member of the London Mathematical Society
• 2025–26: coordinator for the Level 4H and Level 5 MSci projects in mathematics, U Glasgow