Interests
I am currently working on the representation theory of meromorphic braided tensor categories of line operators in the holomorphic-topological twist of 4d N=2 theories and connections to cohomological Hall algebras [1].
Previously, I worked on non-perturbative aspects of 2d N=(2,2) theories, leveraging their quantum spectral geometry together with an exact WKB analysis to determine non-perturbative partition functions and their full wall-crossing structure [2].
More broadly, I am interested in topological, holomorphic and supersymmetric quantum theories in various dimensions, their non-perturbative aspects, algebras of local operators, categories of extended operators and boundary conditions, algebraic and geometric structures of BPS states, meromorphic quantum groups, (geometric) representation theory, mirror symmetry and the BV formalism.
Research Papers
[1] Loïc Bramley, Tudor Dimofte,
The 4d geometry of BPS algebras,
in preparation
[2] Loïc Bramley, Lotte Hollands, and Subrabalan Murugesan.
Les Houches lectures on non-perturbative Seiberg-Witten geometry,
arXiv:2503.21742,
[arXiv],
to be published in SciPost Physics Lecture
Notes
Talks
Hodge Club: Line Operators and Representation Theory , University of Edinburgh (UoE), Dec. 12, 2025.
GRIFT Seminar: The Physics of Khovanov Homology and The Skein Lasagna (Bucatini) Module , Maxwell Institute for Mathematical Sciences (MI), Oct. 28, 2025.
GRIFT Seminar: Line operators in 4d HT-twisted theories, MI, May. 13, 2025.
STAMP Seminar: What is a twist of a supersymmetric field theory?, UoE, Apr. 24, 2025.
GRIFT Seminar: Fadeev-Popov, BRST, BV and back, MI, Apr. 16, 2024.
GlaMS example showcase: Seiberg-Witten theory: 4d N=2 pure SU(2) super Yang-Mills, MI, Mar. 1, 2024.
GRIFT Seminar: An Introduction to equivariant cohomology, MI, Sep. 26, 2023.
Schools and Conferences
Holomorphic-topological field theories and representation theory, The Perimeter Institute, Nov. 3 to Nov. 7, 2025.
Cluster Algebras and Mathematical Physics (CAMP) in the Lakes Summer School, The University of Cumbria Ambleside Campus, Jul. 14 to Jul. 18, 2025.
Enumerative Geometry and Geometric Representation Theory Summer School, The University of Pisa, Jun. 23 to Jul. 4, 2025.
Geometry and Physics of Mirror Symmetry, The University of Sheffield, Sep. 2 to Sep. 6, 2024.
Les Houches School on Quantum Geometry (Mathematical Methods for Gravity, Gauge Theories and Non-Perturbative Physics), Jul. 29 to Aug 24, 2024.
Categorical symmetries in Quantum Field Theory Summer School, ICMS in Edinburgh, Jun. 10 to Jun. 14 Jun, 2024.
Higgs Centre School of Theoretical Physics (Generalised Symmetries and Anomalies), UoE, May 27 to May 31, 2024.