top of page

Research Interests

I am interested in geometry, generally in a very broad sense simply out of my own curiosity, could vary from differential to algebraic, from real to complex, from differential equations to group actions, from non-archimedean to tropical, etc...

But I am mainly working on algebraic geometry and complex geometry for my research.

=> Some unsolved problems emerging from my research journey

(Pre)Publications

[4] Kähler cone-manifolds arising from a projective arrangement, arXiv:2111.13107

[3] The moduli space of the tropicalizations of Riemann surfaces, Manuscripta Math. 171, 397-422 (2023).
      [Print], [arXiv (2020)]


[2] Frobenius algebras and root systems: the trigonometric case, Lett. Math. Phys. 111, 125 (2021).
      [Print], [
arXiv (2019)]

[1] Geometric structures on the complement of a toric mirror arrangement, Math. Z. 300, 683-744 (2022).
      [Print], [arXiv (2018)], [Calculations]

PhD thesis

Hyperbolic structures on a toric arrangement complement, Universiteit Utrecht, 2015
under the supervision of Eduard Looijenga and Gert Heckman

© 2018-2025 by Dali Shen.

bottom of page