Interests
I study non-perturbative aspects of supersymmetric quantum field theories using geometry and representation theory. This typically involves thinking about the mathematical structures of BPS states and local / extended operators.
I am currently interested in the relation between categories of line operators in the holomorphic-topological twist of 4d N=2 theories and algebras of BPS states.
Preprints
Loïc Bramley, Lotte Hollands, and Subrabalan Murugesan.
Les Houches lectures on non-perturbative Seiberg-Witten geometry.
arXiv:2503.21742, 2025.
[arXiv]
Talks
Hodge Club: Line operators and representation theory , Dec. 12, 2025.
GRIFT Seminar: The physics of Khovanov homology and the skein lasagna (bucatini) module , Oct. 28, 2025.
GRIFT Seminar: Line operators in 4d HT-twisted theories, May. 13, 2025.
STAMP Seminar: What is a twist of a supersymmetric field theory?, Apr. 24, 2025.
GRIFT Seminar: Fadeev-Popov, BRST, BV and back, Apr. 16, 2024.
GlaMS example showcase: Seiberg-Witten theory: 4d N=2 pure SU(2) super Yang-Mills, Mar. 1, 2024.
GRIFT Seminar: An Introduction to equivariant cohomology, Sep. 26, 2023.
Schools and Conferences
Holomorphic-topological field theories and representation theory at The Perimeter Institute, Nov. 3 to Nov. 7, 2025.
Cluster Algebras and Mathematical Physics (CAMP) in the Lakes Summer School at The University of Cumbria Ambleside Campus, Jul. 14 to Jul. 18, 2025.
Enumerative Geometry and Geometric Representation Theory Summer School at The University of Pisa, Jun. 23 to Jul. 4, 2025.
Geometry and Physics of Mirror Symmetry at 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 at the ICMS in Edinburgh, Jun. 10 to Jun. 14 Jun, 2024.
Higgs Centre School of Theoretical Physics (Generalised Symmetries and Anomalies) at the University of Edinburgh, May 27 to May 31, 2024.