My main interest is in representation theory, especially geometric representation theory. I am also interested in algebraic topology and quantum physics, and have a particular fondness for the characteristic p method.
(My articles are available on the arXiv. I publish as 'Gus Lonergan'.
In preparation
[10] Hopf algebroids via Feynman diagrams
[9] Steenrod operations, the Coulomb branch and the Frobenius twist, II
Currently available
[8] Steenrod operations, the Coulomb branch and the Frobenius twist, I
[7] Appendix: Ring objects in the equivariant derived Satake category arising from Coulomb branches (link to the paper by Braverman-Finkelberg- Nakajima)
[6] (with S. Leslie) Parity Sheaves and Smith Theory
[5] A remark on descent for Coxeter groups
[4] A Fourier transform for the quantum Toda lattice
[3] A Strong Splitting of the Algebra of Distributions of SL2
[2] (with L. Kendrick) The Lower Central Series of the Quotient of a Free Algebra
[1] (with S. Kishore) Signatures of Multiplicity Spaces in tensor products of sl2 and Uq(sl2) Representations
Notes
[0] My talk at the Beilinson-Drinfeld seminar
In preparation
[10] Hopf algebroids via Feynman diagrams
[9] Steenrod operations, the Coulomb branch and the Frobenius twist, II
Currently available
[8] Steenrod operations, the Coulomb branch and the Frobenius twist, I
[7] Appendix: Ring objects in the equivariant derived Satake category arising from Coulomb branches (link to the paper by Braverman-Finkelberg- Nakajima)
[6] (with S. Leslie) Parity Sheaves and Smith Theory
[5] A remark on descent for Coxeter groups
[4] A Fourier transform for the quantum Toda lattice
[3] A Strong Splitting of the Algebra of Distributions of SL2
[2] (with L. Kendrick) The Lower Central Series of the Quotient of a Free Algebra
[1] (with S. Kishore) Signatures of Multiplicity Spaces in tensor products of sl2 and Uq(sl2) Representations
Notes
[0] My talk at the Beilinson-Drinfeld seminar