Simone Castellan

Email: Simone.Castellan@glasgow.ac.uk

Personal Website: https://sites.google.com/view/simonecastellan-math

 

ORCID iDhttps://orcid.org/0000-0002-1588-0827

Research title: Chiralization of star-products and the isomorphisms of deformations and quantizations of Kleinian singularities

Research Summary

 
My research interests lie in Lie theory and its generalizations, interpreted in a broad sense. I am particularly interested in topics that are at the crossroads between algebra, geometry, and mathematical physics. The list includes, for example, quantum groups, (double affine) Hecke algebras, integrable systems, deformation quantization, symplectic singularities, and vertex algebras. Most of my work so far has been in the last two areas.

Publications

  • Isomorphisms of deformations and quantizations of Kleinian singularities, arXiv:2309.17350 (2023)

  • \hbar-vertex algebras and chiralization of star products arXiv:2308.13412v1 (2023)

Supervisors

Conference

  • “Isomorphisms of deformations and quantizations of Kleinian singularities”, Jan 2024
    Invited talk (upcoming), LMS Regional Meeting 2024, Bath
  • “\hbar-vertex algebras and chiralization of star products”, Invited talk, Oct 2023
    Mathematical Physics Seminar, University of York
  • “Star deformations for Poisson vertex algebras”, Contributed talk Oct 2022
    Quantum Symmetries, Centre de Recherches Mathématiques, Montréal
  • “Star deformations for Poisson vertex algebras”, Invited talk Sep 2022
    Special week on infinite dimensional Lie algebras and related structures, La Sapienza, Rome

Simone Castellan