Lecturer at the Department of Physics, Astronomy and Mathematics at the University of Hertfordshire and researcher in Mathematical Physics.
My main research interest lies in the global geometric structures underlying the dualities of string theory and M-theory, to join the dots between double field theory, gerbes, generalized geometry, non-geometry and T-folds.
PhD in Theoretical Physics at the Centre for Research in String Theory (currently known as Centre for Theoretical Physics) at Queen Mary University of London, under the supervision of Prof. David Berman.
MSc in Quantum Fields and Fundamental Forces at Imperial College London under the supervision of Prof. Chris Hull.
On 2-dimensional Yang-Mills theory
On global double field theory formulated in higher differential geometry:
Luigi Alfonsi, Global Double Field Theory is Higher Kaluza-Klein Theory, Fortschr. Phys. 2020, 68, 2000010. (arXiv:1912.07089, doi:10.1002/prop.202000010)
(relating Kaluza-Klein compactification on principal ∞-bundles to double field theory, T-folds, non-abelian T-duality, type II geometry, exceptional geometry, …)
Luigi Alfonsi, The puzzle of global Double Field Theory: open problems and the case for a Higher Kaluza-Klein perspective, Fortschr. Phys. 2021, 2000102 (arXiv:2007.04969, doi:10.1002/prop.202000102))
Review:
On the geometric quantization of a sigma-model in double field theory:
On other global geometric aspects of theoretical physics (e.g. classical double copy):
PhD thesis:
On derived differential geometry and higher Lie theory cast in (differential) cohesive $(\infty,1)$-topos theory:
On higher geometry (higher differential geometry) in physics:
On non-perturbative BV-BRST formalism with an eye towards M-theory:
Classical non-perturbative BV-theory via derived differential geometry and the puzzle of quantisation, seminar talk at Quantum Maths Seminar series at the University of Nottingham, Nottingham, 8th November 2023
Luigi Alfonsi, Derived $n$-plectic geometry: towards non-perturbative BV-BFV quantisation and M-theory, talk at M-Theory and Mathematics 2023, NYU Abu Dhabi (2023) [web]
Classical BV-BFV theory as derived $n$-plectic geometry, seminar talk at Monthly Global Diffeology Seminar series, 2nd December 2022
On higher structures in string dualities:
Higher quantum geometry and global string duality, talk at NYU Abu Dhabi (April 2022) $[$web$]$
Extended geometry from higher geometry, gong show at Higher Structures in QFT and String Theory, 13th July 2021
Towards an extended/higher correspondence – generalised geometry, bundle gerbes and global T-duality, seminar at University of Hertfordshire, 12th May 2021
Global Double Field Theory and tensor hierarchy, seminar at Prague Mathematical Physics Seminar Series, 1st April 2021 (recording)
Higher geometric aspects of global Double Field Theory, seminar at Exceptional Geometry Seminar Series, 28th August 2020 (recording, slides)
Global Double Field Theory is Higher Kaluza-Klein Theory, regular seminar at Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam, 16th March 2020.
Global Double Field Theory as gerbe geometry, talk at Generalized Geometry and Applications, University of Hamburg, 3rd March 2020.
Last revised on January 18, 2024 at 14:58:45. See the history of this page for a list of all contributions to it.