Martin Ulirsch

Junior Professor for Number Theory

Goethe University Frankfurt am Main


FB12 - Institut für Mathematik Goethe-Universität Frankfurt Robert-Mayer-Str. 6-8 60325 Frankfurt am Main
Office: 209 Phone: +49 69 798 - 28216

Welcome! I am a Junior Professor for Number Theory in the Algebra and Geometry Group at Goethe University Frankfurt am Main and a Principal Investigator at the newly established SFB 326 - GAUS. My position in Frankfurt is supported by the LOEWE-Schwerpunkt Uniformized Structures in Arithmetic and Geometry and my research program is also funded by DFG-Sachbeihilfe Grant Project No. 456557832 "From Riemann surfaces to tropical curves (and back again)".

My research interests are in combinatorial algebraic geometry with a particular focus on tropical and non-Archimedean geometry and the geometry of moduli spaces.

Research Group

Ph.D. students

Short Bio

From October 2018 until March 2019 I was a Marie Skłodowska-Curie Fellow at the University of Warwick, hosted by Diane Maclagan. Before coming to Frankfurt, I was a Postdoc Assistant Professor at the Department of Mathematics at the University of Michigan, Ann Arbor, mentored by Mattias Jonsson, a postdoctoral fellow at the Fields Institute for Research in Mathematical Sciences within the thematic program on Combinatorial Algebraic Geometry, as well as a Hausdorff postdoc at the University of Bonn in the group of Daniel Huybrechts. During Summer 2017 I visited the Research Group in Nonlinear Algebra, led by Bernd Sturmfels, at the Max Planck Institute of Mathematics in the Sciences, Leipzig.

I completed my doctorate at the Department of Mathematics at Brown University with a thesis on the Tropical geometry of logarithmic schemes. My doctoral advisor was Dan Abramovich. I did my undergraduate degree in Mathematics with a minor in Physics at the University of Regensburg, where I wrote an undergraduate thesis under the guidance of Klaus Künnemann. During this time I also spent a year as a visiting graduate student at Brandeis University.

For a more detailed version of my CV click here.


Open Ph.D. student position.

In our group there is an open Ph.D. student position (3 years, E13 TV-L) within the DFG-Project "From Riemann surfaces to tropical curves (and back again)". Please apply by 22. Dec. 2021 (with a cover letter, a CV, and a short statement of research interests) by email to The starting date is flexible (but no earlier than February 2022). See here for the official announcement with further details (in German). Please contact us via in case of questions.

SFB 326 - GAUS

The SFB 326: Geometry and Arithmetic of Uniformized Structures​ (GAUS) has started in July 2021. Our group is involved in two projects.

Ruth Moufang Lectures

Jennifer Balakrishnan gave the inaugural Ruth Moufang Lectures on July 13-16. Check out our YouTube-Channel for videos of the talks.

A regular afternoon seminar series on tropical geometry and neighboring fields (currently held via Zoom). We will be back in January 2022. In the meantime see this.

My co-organizer is Lorenzo Fantini. Check our YouTube Channel for videos of past talks.

A workshop at Goethe University Frankfurt, originally scheduled for Sept. 14-17, 2020. My co-organizers are Lorenzo Fantini and Annette Werner. This is now a series of virtual and hybrid afternoon workshops starting on Oct. 1, 2021 similar to the TGiZ.

A virtual Mini-Workshop organized together with Alex Küronya and Duco van Straten on June 11, 2021.

Check our YouTube Channel for videos of the talks.