Arkadij Bojko

Hello, I am an Institute Research Scholar at Academia Sinica. Previously, I worked in the group of Rahul Pandharipande at ETH Zurich, and I did my PhD as a Clarendon scholar with Dominic Joyce at Oxford.

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I believe in the essence of Ardila's Axioms.

My research field is enumerative algebraic geometry where I have mainly focused on sheaf-counting theories thus far. Through my work, I help to advance our understanding of invariants and structures of moduli spaces of sheaves by using tools from representation theory, derived algebraic geometry topology, combinatorics, and gauge theory. The techniques I often apply rely on the wall-crossing behaviour of sheaves under changing stability conditions and on equivariant localization. Two main areas that I dedicated most of my time to are sheaf-counting on Calabi-Yau fourfolds and Virasoo constraints for linear categories. Here, I used vertex algebras and their formal families combined with wall-crossing to prove multiple existing conjectures. Coming back to my roots, I am beginning to dabble in various topics of mathematical physics.

You can contact me using the email address found here. I was organizing the Algebraic Geometry Seminar at Academia Sinica.

selected publications

  1. Virasoro constraints for moduli of sheaves and vertex algebras
    Arkadij Bojko, Woonam Lim , and Miguel Moreira
    Invent. Math., 2024
  2. Universal Virasoro constraints for quivers with relations
    Arkadij Bojko
    2023
    arXiv preprint, submitted to a journal
    Website
  3. Hilbert schemes of points on Calabi–Yau 4-folds via wall-crossing
    Arkadij Bojko
    Adv. Math., 2024
  4. Orientations for DT invariants on quasi-projective Calabi-Yau 4-folds
    Arkadij Bojko
    Adv. Math., 2021