Research

Research interests
I am broadly interested in algebra and geometry. More specifically, I work on questions in algebraic geometry inspired by string theory. In particular, my interests include Gromov-Witten theory, quantum cohomology, derived categories of coherent sheaves and mirror symmetry.

Publications and Preprints
All my papers are available on arXiv.

• Derived category of the spinor 15-fold. (with V. Benedetti and D. Faenzi).
• Residual categories of Grassmannians.
• On the big quantum cohomology of coadjoint varieties (with N. Perrin).
• On the derived category of the adjoint Grassmannian of type F, accepted for publication to ``Algebraic Geometry and Physics'', volume in honour of Yuri I. Manin.
• Derived categories of the Cayley plane and the coadjoint Grassmannian of type F (with P. Belmans and A. Kuznetsov), Transform. Groups 28 (2023), no. 1, 9-34.
• Residual categories for (co)adjoint Grassmannians in classical types (with A. Kuznetsov), Compos. Math. 157 (2021), no. 6, 1172-1206.
• Hochschild cohomology of generalised Grassmannians (with P. Belmans), Doc. Math. 28 (2023), no. 1, pp. 11-53.
• On residual categories for Grassmannians (with A. Kuznetsov), Proceedings of the London Mathematical Society (3) 120 (2020), no. 5, 617-641.
• On quantum cohomology of Grassmannians of isotropic lines, unfoldings of A_n-singularities, and Lefschetz exceptional collections (with J. A. Cruz Morales, A. Kuznetsov, A. Mellit, N. Perrin), Annales de l'Institut Fourier, Volume 69 (2019) no. 3, pp. 955-991.
• Update on quantum cohomology of IG(2,2n) (with A. Mellit and N. Perrin).
• Dubrovin's conjecture for IG(2,6) (with S. Galkin and A. Mellit), Int. Math. Res. Not. IMRN 2015, no. 18, 8847-8859.
• Some remarks on Landau-Ginzburg potentials for odd-dimensional quadrics (with V. Gorbounov), Glasg. Math. J. 57 (2015), no. 3, 481-507.
• On the derived category of M̅_0,n (with Yu. I. Manin), Izv. Math. 77 (2013), no. 3, 525-540.
• Towards motivic quantum cohomology of M̅_0,S (with Yu. I. Manin), Proc. Edinb. Math. Soc. (2) 57 (2014), no. 1, 201-230.

Software
In recent years in my research I rely a lot on computer experiments. For example, these were crucial for this and this paper. Most of the time I use SAGE for this purpose.