I am interested in chiral algebras and factorisation algebras.

• Here is my thesis:
  • Universal D-modules and factorisation structures on Hilbert schemes of points.

Papers

• "Chiral algebras, factorization algebras, and Borcherds's 'singular commutative rings' approach to vertex algebras."
• "On the Kirwan map for moduli of Higgs bundles." Joint with Tom Nevins and Shiyu Shen.
• "Universal factorisation spaces and algebras." (Published in Mathematical Research Letters.)
• "Universal D-modules and stacks of étale germs of n-dimensional varieties." (Published in the European Journal of Mathematics.)

Notes from (some) talks

• Here are slides from my talk at the conference "Geometric and categorical representation theory" held at Louisiana State University in May 2019:
  • "Factorization algebras, chiral algebras, and Borcherds's singular commutative ring approach to vertex algebras."
• Here are slides from my talk at the conference "Recent developments in noncommutative algebra and related algebras" held in Seattle in March 2018:
  • "Factorization structures via the non-commutative Hilbert scheme of points in C³."
• Here are slides from my talk at the conference "Geometric and categorical representation theory" held in Mooloolaba, Australia in December 2015:
  • "Factorisation algebras associated to Hilbert schemes of points."