Martin Ulirsch

Research Group Leader

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 Research Group Leader (A14) in the Algebra and Geometry Group at Goethe University Frankfurt am Main.

I am a Principal Investigator at the SFB 326: GAUS. My research program is also funded by DFG-Sachbeihilfe Grant Project No. 456557832 "From Riemann surfaces to tropical curves (and back again)" and by DFG-Sachbeihilfe Grant Project No. ‭539867663‬ "Rethinking tropical linear algebra: Buildings, bimatroids, and applications" within the SPP 2458: Combinatorial Synergies . Until 2022, my position in Frankfurt was supported by the LOEWE-Schwerpunkt Uniformized Structures in Arithmetic and Geometry.

My research interests are in algebraic geometry and combinatorics, with a particular focus on tropical geometry and moduli spaces, logarithmic and non-Archimedean geometry, matroids and buildings, as well as on vector bundles and combinatorial algebraic geometry.

Research Group

Ph.D. students
Former members

Short Bio

Until recently, I was a Junior Professor for Number Theory at Goethe University. 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.

Mathematics is for everyone!

I strongly support the axioms laid out by Federico Ardila.


A regular afternoon seminar series on tropical geometry and neighboring fields (currently held via Zoom). 

My co-organizer is Andreas Gross. Check our YouTube Channel for videos of past talks.

Alex Küronya, Diane Maclagan, Karin Schaller, and I are organizing a workshop on March 31 - April 4, 2025. More details to come. 

Geometry without Geometry: A Combinatorial Christmas Workshop

Raman Sanyal and I are organizing a short workshop at Goethe University on Dec. 4-6, 2024. More details to come. 

Andreas Gross, Hannah Markwig, and I are organizing a workshop on Oct. 7-11, 2024. 

Martin Möller and I have organized the CRC-conference on Feb. 26-March 1, 2024. Videos of the talks can be found here.

Alex Küronya, Andreas Gross, and I have organized a  workshop on Oct. 9-13, 2023. Videos of the talks can be found here.

Kenny Ascher, Dori Bejleri, Qile Chen, Angela Gibney, Brendan Hassett, Steffen Marcus, Jonathan Wise, and I have organized a conference at Brown University on June 12-16, 2023. This is also in honor of Dan Abramovich's 60th birthday. 

Luca Battistella and I have organized a small workshop on Logarithmic geometry and moduli space on Feb. 22-24, 2023. See here for more information. Videos of the talks are available here

We have organized a workhop on Newton-Okounkov bodies and tropical geometry on Nov. 14 - Nov. 18. See here for more information

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

A workshop at Goethe University Frankfurt, originally scheduled for Sept. 14-17, 2020. My co-organizers are Lorenzo Fantini and Annette WernerThis 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.