Research

Preprints

3. Subspaces Fixed by a Nilpotent Matrix (with Gabriele Nebe, Mima Stanojkovski, Bernd Sturmfels) Submitted.

2. Valued rank metric codes. (with Yassine El Maazouz, Alessandro Neri, Mima Stanojkovski) Submitted.

1. One-parameter families of multiview varieties via quotient lattices. Submitted.

Publications

14. Orders and Polytropes: Matrix Algebras from Valuations. (with Yassine El Maazouz, Gabriele Nebe, Mima Stanojkovski, Bernd Sturmfels) to appear in Beitr. Algebra Geom. (2021)

13. Intersecting psi-classes on tropical Hassett spaces (with Shiyue Li) to appear in Combinatorial Theory.

12. Mustafin models of projective varieties and vector bundles. to appear in Int. Math. Res. Not. (2021)

11. A short note on Cayley-Salmon equations. (with Sara Lamboglia and Alejandro Vargas) in Matematiche (Catania) 75.2 (2020), p. 559-574

10. Strongly semistable reduction of syzygy bundles on plane curves. (with Annette Werner) to appear in J. Lond. Math. Soc. (2021)

9. Wall-crossing and recursion formulae for tropical Jucys covers. (with Danilo Lewanski) in Trans. Amer. Math. Soc. 373 (2020), p. 4685-4711

8. Triply mixed coverings of arbitrary base curves: Quasimodularity, quantum curves and a mysterious topological recursions. (with Jan-Willem van Ittersum and Felix Leid) to appear in Ann. Inst. Henri Poincaré D (2020)

7. Bi-pruned Hurwitz numbers. in J. Combin. Theory Ser. A (2020), 105240

6. Tropical Jucys Covers. (with Danilo Lewanski) to appear in Math. Z. (2021)

5. Tropicalized quartics and canonical embeddings for tropical curves of genus 3. (with Hannah Markwig, Yue Ren, Ilya Tyomkin) in Int. Math. Res. Not. 12 (2021), p. 8946-8976

4. Wall-crossing formulae and strong piecewise polynomiality for mixed Grothendieck dessins d'enfant, monotone, and simple double Hurwitz numbers. (with Reinier Kramer, Danilo Lewanski) in Adv. Math. 336 (2018), p. 38-69.

3. Mustafin varieties, moduli spaces and tropical geometry. (with Binglin Li) to appear in Manuscripta Math. (2020)

2. A monodromy graph approach to the piecewise polynomiality of simple, monotone and Grothendieck dessins d'enfants double Hurwitz numbers. in Graphs Comb. 35 (2019), p. 729-766.

1. Pruned double Hurwitz numbers. in Electron. J. Comb. 24.3 (2017): P3-66.

Conference proceedings

Tropical Jucys Covers and applications. in Oberwolfach Rep. 16/2 (2020), p. 1278-1281

Posters

Chamber behaviour of mixed double Hurwitz numbers. Combinatorics and Interactions at Institute Henri Poincaré

Recorded Talks

I gave a lecture on Topological recursion and enumerative problems at MPI Bonn in December 2018.

In January 2021, I was invited to the NASO Seminar to give a talk on Mustafin degenerations: Between applied and arithmetic geometry.

In March 2021, I was invited to the Antwerp Algebra Colloquium to give a talk on Mustafin degenerations: Between applied and arithmetic geometry.