Arkadij Bojko

Hello, I am an assistant professor at SIMIS and Fudan University. I did my PhD with Dominic Joyce at the University of 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. I enjoy finding new approaches to existing problems that borrow tools from representation theory and differential geometry. I dedicated most of my time to two main areas: sheaf-counting on Calabi-Yau fourfolds and Virasoro constraints for linear categories. Here, I used vertex algebras and their formal families combined with wall-crossing to prove multiple existing conjectures. Returning to my roots, I am beginning to dabble in various topics of mathematical physics.

You can contact me using the email address ‘abojko(at)gate(dot)sinica(dot)edu(dot)tw’.

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