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Room 230 - Level 2, Mathematics & Statistics Building, 132 University Place, Glasgow, G12 8QQ
https://orcid.org/0000-0003-3159-5433
Research title: Relativistic integrable systems and related structures
I am interested in the study of quantum multi-particle integrable systems arising in mathematical physics, as well as the study of related algebraic structures, such as (double affine) Hecke algebras, quantum groups, and rational Cherednik algebras.
McWhinnie, I., Rooke, L. and Vrabec, M. (2024) Baker–Akhiezer function for the deformed root system BC(l, 1) and bispectrality. Journal of Physics A: Mathematical and Theoretical, 57(47), 475204. (doi: 10.1088/1751-8121/ad8b00)
Feigin, M. and Vrabec, M. (2022) Bispectrality of AG2 Calogero–Moser–Sutherland system. Mathematical Physics, Analysis and Geometry, 25(4), 29. (doi: 10.1007/s11040-022-09440-7)
Easo, P. et al. (2020) The Cuntz-Toeplitz algebras have nuclear dimension one. Journal of Functional Analysis, 279(7), 108690. (doi: 10.1016/j.jfa.2020.108690)
Feigin, M. and Vrabec, M. (2019) Intertwining operator for AG2 Calogero-Moser-Sutherland system. Journal of Mathematical Physics, 60(7), 073503. (doi: 10.1063/1.5090274)
McWhinnie, I., Rooke, L. and Vrabec, M. (2024) Baker–Akhiezer function for the deformed root system BC(l, 1) and bispectrality. Journal of Physics A: Mathematical and Theoretical, 57(47), 475204. (doi: 10.1088/1751-8121/ad8b00)
Feigin, M. and Vrabec, M. (2022) Bispectrality of AG2 Calogero–Moser–Sutherland system. Mathematical Physics, Analysis and Geometry, 25(4), 29. (doi: 10.1007/s11040-022-09440-7)
Easo, P. et al. (2020) The Cuntz-Toeplitz algebras have nuclear dimension one. Journal of Functional Analysis, 279(7), 108690. (doi: 10.1016/j.jfa.2020.108690)
Feigin, M. and Vrabec, M. (2019) Intertwining operator for AG2 Calogero-Moser-Sutherland system. Journal of Mathematical Physics, 60(7), 073503. (doi: 10.1063/1.5090274)
