I am a geometric representation theorist, inspired by ideas from mathematical physics. My earlier work was on chiral algebras and factorization algebras (also factorisation algebras, depending on the country), and lately I have been thinking about 2-groups and higher symmetry.

Papers

• "Flat principal 2-group bundles and flat string structures." Joint with Daniel Berwick-Evans, Laura Murray, Apurva Nakade, and Emma Phillips. (To appear in Contemporary Mathematics.)
• "String structures, 2-group bundles, and a categorification of the Freed-Quinn line bundle." Joint with Daniel Berwick-Evans, Laura Murray, Apurva Nakade, and Emma Phillips.
• "Chiral algebras, factorization algebras, and Borcherds's 'singular commutative rings' approach to vertex algebras." (Published in Communications in Mathematical Physics.)
• "On the Kirwan map for moduli of Higgs bundles." Joint with Tom Nevins and Shiyu Shen. (Published in Algebraic Geometry.)
• "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.)

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

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."