About me

Hi! 🙂 My name is Fabián Levicán. I’m a praedoc University assistant and doctoral student in mathematics at the University of Vienna, working under the joint supervision of Balázs Szendrői and Ilse Fischer. My current interests lie in the intersection between algebraic geometry and combinatorics. More specifically, I’m interested in toric varieties, polytopes, and interactions with combinatorial representation theory.

My email address is fabian [dot] levican [at] univie [dot] ac [dot] at.


Research

Preprints

  1. AdditiveToricVarieties: A Macaulay2 package for working with additive complete toric varieties (November 2025), with Pedro Montero, arXiv:2511.03024, submitted.
  2. Embeddings of weighted projective spaces (October 2025), with Praise Adeyemo and Dominic Bunnett, arXiv:2510.05076, submitted.
  3. Color rules for cyclic wreath products and semigroup algebras from projective toric varieties (April 2025), with Marino Romero, arXiv:2504.19008, submitted.

Theses

  1. Toward potential density of rational points on elliptic K3 surfaces (December 2023), master’s thesis, supervised by Sebastián Herrero and Pedro Montero, link.
  2. A computational approach to classification of additive smooth Fano polytopes (December 2022), título profesional thesis, supervised by Pedro Montero, link.

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León the cat, perfectly loafed up.