# 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 categories of the Cayley plane and the coadjoint Grassmannian of type F (with P. Belmans and A. Kuznetsov).
- Residual categories for (co)adjoint Grassmannians in classical types (with A. Kuznetsov).
- Hochschild cohomology of generalised Grassmannians (with P. Belmans).
- 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.