Talks

Towards Models for 2-Hilb and 3-Hilb as targets for functorial field theories, University of Hertfordshire, at the Mathematics and Theoretical Physics Seminar, Slides. 

W*-Categories, Bicommutant Categories and Solitons from Conformal Nets, Geometry, Algebra, Mathematical Physics and Tolopogy Seminar, Cardiff University Plan  

Towards construction of fully extended Chiral Conformal Field Theories from Conformal Nets. January 2024, AQFTUK, University of Nottingham

Bicommutant Categories from Conformal Nets, January 2024, CFT 3 Ways, SwissMAP Research Station, Les Diablerets Outline  

Bicommutant Categories-Definition. March 2024, Workshop on New Directions in Conformal Field Theory, Hamburg 

An (∞, d)-category of QFTs and topological interfaces. August 2023, Categorical Symmetries in Quantum Field Theory (School and Workshop), SwissMAP Research Station in Les Diablerets.

Conformal Nets, Functorial CFTs and Defects. June 2023, Hausdorff School on TQFTs and their connections to representation theory and mathematical physics, Hausdorff Centre for Mathematics. 

Pre-factorisation Algebras from free field theories  Construction of  pre-factorisation algebra associated to a free classical field theory, and quantisation of this to the pre-factorisation algebra for the associated free quantum field theory), Topology Advanced Class on Factorisation Algebras and Factorisation Homology, MT2024, Oxford Notes  

Naturatily of Chern-Weil forms and Homotopy Theory, Topology Advanced Class TT2024 on Smooth Differential Cohomology, Oxford Notes  

Poincaré Duality Revisited in Abstact Six-functor Formalism. October 2023, Topology Advanced Class  on Six- Functor Formalism (Scholze), Mathematics Institute, Oxford. Notes  

Spans 2. May 2023, Topology Advanced Class on the AKSZ construction of TQFTs, Oxford.
Showed that each object in (∞, n)-categories of n-fold spans is fully dualisable and sketched the case of Lagrangian correspondences of shifted symplectic derived stacks. Based on Iterated spans and classical topological field theories.

Hopf algebra objects and related constructions in tensor categories, Topology Advanced Class on Modular Categories and TQFTs beyond semisimplicity, Oxford, MT22, Based on Extended TQFTs From Non-Semisimple Modular Categories 

FFRS construction of RCFT correlators from TQFT - Construction. May 2022, Topology Advanced Class on FFRS construction of RCFT correlators from TQFT. Slides, based on TFT construction of RCFT correlators I: Partition functions

Functoriality of Quantum Dimension,  Day 4- Scottish Talbot On Algebra and Topology on Higher tensor categories and extensions, Glenmore Notes based on Minimal nondegenerate extensions 

Super-symmetric QFT and Integral Modular Functions. December 2020, Research Group Jürgen Jost, Max Plank Institute for Mathematics in the Sciences, Leipzig Slides
This talk was also given in a sightly different, less mathematical form for physicists at the Indian Institute of Technology Kanpur as part of the course Introduction to Conformal Field Theory. Slides and notes for the version aimed at physicists.  Based on Supersymmetric field theories and generalized cohomology 

CFT and Elliptic Cohomology. October 2020, Indian Institute of Technology Kanpur. Slides
Given as part of the course Introduction to Conformal Field Theory.

Gauge Theory and Knots. December 2019, Indian Institute of Technology Kanpur. Slides . Detailed Notes

Overview of Von Neumann algebras, Conformal Nets and their relation to unitary VOAs. November 2023, OWSM (Oxford Symmetry Meeting) Notes

Introduction to (∞, n)-categories and cobordism; overview of topological defects in field theories. March 2023, Oxford Symmetry Meeting (OWSM). Notes 

Introduction to the construction of extended Segal Chiral CFT from Conformal Nets. February 2023, Oxford. Slides
Presented for Transfer of Status to examiners in Theoretical Physics and Mathematics. 

Backprop is a functor. December 2021, Ard Louis Research Group, Oxford
Based on Backprop as Functor: A compositional perspective on supervised learning 

Introduction to categories for physicists. December 2021, Ard Louis Research Group, Oxford
Two talks introducing categories and symmetric monoidal categories to physicists.

Entanglement in Topological Quantum Field Theories and Complexity. June 2020, Indian Institute of Technology Kanpur. Notes
Given as part of the course Quantum Chaos.

Statistical Physics Methods in Cognitive Neuroscience: Critical Brain. February 2020, Indian Institute of Technology Kanpur. Slides. Notes
Given as part of the course Topics in Cognitive Neuroscience.

Topology and Materials Science. August 2018,  Indian Institute of Technology Kanpur. Slides
Popular science talk given in the Department of Materials Science and Engineering.