• Papers and Preprints

    • [Skeins on Tori]

      A collaboration with Sam Gunningham, David Jordan and Monica Vazirani. We compute the dimension of $SL_n$-skein modules of the 3-dimensional torus, which has a beautiful connection to my second paper.

    • [Hochschild–de Rham Homology]

      This is my second paper, which is on a generalisation of Poisson–de Rham Homology of Etingof–Schedler. Will post to Arxiv at some point…

    • On the Derived Ring of Differential Operators on a Singularity

      My first paper, which is on the category of D-modules on singular varieties viewed as DG-modules over a DG-algebra. Accepted for Journal of Algebra with revision.

  • Notes

    • Symplectic Representation Theory

      Notes for a TCC course taught by my PhD supervisor Travis Schedler. It is highly incomplete and probably not readable, quite possibly contain many mistakes too. I would like to go back to this and complete it at some point.

    • Algebraic K-Theory

      Some notes I have taken for algebraic K-theory. But in all honesty, I don’t remember anything about it at all.

    • Modular Representation Theory of Finite Groups

      M4R project I did with Prof. Alexander Ivanov during my final undergraduate year.

  • Talks

    • [Applications of D-mods and Holonomicity]

      Representation Theory and Number Theory Seminar, National University of Singapore, 25/01/2022

    • [Derived Ring of Differential Operators]

      Algebra Seminar, Stuttgard, 18/01/2022

    • [D-mods and Kazhdan–Lusztig Conjectures]

      KCL/UCL geometry seminar, Spring 2022

    • Quiver varieties, Kac–Moody action and Symplectic resolutions

      CKL learning seminar, Imperial, 26/11/2021

      (I also took notes for the whole learning seminar.)

    • Siedel–Thomas

      Braid group action on categories learning seminar, Imperial, 19/08/2021

    • Categories and Categorification

      Braid group action on categories learning seminar, Imperial, 17/06/2021

    • D-mods

      Braid group action on categories learning seminar, Imperial, 13/05/2021

    • [D-modules on singular varieties]

      Cambridge Junior Algebra Seminar, 21/02/2020

    • [D-modules for applied mathematicians]

      SIAM JAMS, Imperial, 05/2019