home

I’m an assistant professor at the Centre for Quantum Mathematics at Syddansk Universitet.

I study interactions between geometry, dynamics, and category theory. See the research page for more details on my current projects.

preprints on the arXiv | Google scholar profile | CV

Papers and preprints

  1. Spectral networks and stability conditions for Fukaya categories with coefficients (with L. Katzarkov, C. Simpson), arXiv:2112.13623
  2. 3-d Calabi-Yau categories for Teichmüller theory, arXiv:2104.06018
  3. On pseudo-Anosov autoequivalences (with Y.-W. Fan, S. Filip, L. Katzarkov, Y. Liu), Adv. Math. 384, 2021. arXiv:1910.12350
  4. Flags and Tangles, to appear in Quantum Topology, arXiv:1910.04182
  5. Legendrian skein algebras and Hall algebras, Math. Ann., 2021. arXiv:1908.10358
  6. An extension of the Siegel space of complex abelian varieties and conjectures on stability structures, manuscripta math. 163, p. 87–111, 2020. arxiv:1808.06364
  7. Iterated logarithms and gradient flows (with P. Pandit, L. Katzarkov, M. Kontsevich), arxiv:1802.04123
  8. Semistability, modular lattices, and iterated logarithms (with P. Pandit, L. Katzarkov, M. Kontsevich), to appear in JDG, arxiv:1706.01073
  9. Flat surfaces and stability structures (with L. Katzarkov, M. Kontsevich), Publ. Math. IHES 126, p. 247–318, 2017. arxiv:1409.8611
  10. Dynamical systems and categories (with G. Dimitrov, L. Katzarkov, M. Kontsevich), in The Influence of Solomon Lefschetz in Geometry and Topology: 50 Years of Mathematics at CINVESTAV, Con. Math. 621, p. 133–170, 2014. arxiv:1307.8418
  11. An Orbit Construction of Phantoms, Orlov Spectra, and Knörrer Periodicity (with D. Favero, L. Katzarkov), in Homological Mirror Symmetry and Tropical Geometry, Lecture Notes of the Unione Matematica Italiana 15, p. 33–42, 2014. Springer
  12. Stability of 1-dimensional A-branes (PhD thesis), 2015, Uni Wien
  13. Refined Combinatorial Torsion (MSc thesis), 2010, Uni Wien

Collaborators