Firoozeh Dastur
DR. RER. NAT.
Research Interests
My research interests centre on algebraic and tropical geometry, together with the computational methods that support them — computer algebra and the software that makes such computations tractable. I am especially curious about how tropical methods translate into practical use: their potential in real-world applications, and the ways they can make classical techniques more efficient. More broadly, I remain interested in mathematics as a whole and in how it connects to and informs other fields, such as data science, machine learning, neural networks, and optimisation. Since completing my PhD, mathematics has remained a professional interest alongside my work in industry, and I am glad to discuss ideas, problems, or potential collaborations in these areas.
Doctoral Research — Automorphism Groups of K3 Surfaces and \(\mathbb{A}^1\)-Multiplicities of Tropical Quartic Curves
PhD in Algebraic and Tropical Geometry, RPTU Kaiserslautern-Landau, completed February 2026, in collaboration with the Fraunhofer Institute for Industrial Mathematics (ITWM). The thesis combined the study of automorphism groups of K3 surfaces with the computation of \(\mathbb{A}^1\)-multiplicities for tropical quartic curves, supported throughout by computer algebra and high-performance computing.
Master Thesis — Algorithmic Generation of Covers of Tropical Elliptic Curves
M.Sc. in Algebraic Geometry, Tropical Geometry, Number Theory and Computer Algebra, Technische Universität Kaiserslautern, 2020. The thesis developed algorithms to compute tropical covers of elliptic curves, Hurwitz numbers and descendant Gromov–Witten invariants, with applications to mirror symmetry and Feynman integrals. The results were implemented as a SINGULAR library.
Publication — DistributedWorkflows.jl: A Julia Interface to a Task-Based Workflow Management System
Firoozeh Dastur, Max Zeyen & Mirko Rahn. Proceedings of the JuliaCon Conferences, Volume 8, Issue 83, 2026. The companion paper to the JuliaCon 2024 talk below, describing the package and its interface to a task-based workflow management system for distributed applications on HPC clusters.
Publication — Algorithms for Gromov–Witten Invariants of Elliptic Curves
Janko Böhm, Firoozeh Dastur, Alain Hoffmann, Hannah Markwig & Ali Traore. Book chapter, Springer, 2025. Presents a new, efficient algorithm for computing generating series for Gromov–Witten invariants and Hurwitz numbers of elliptic curves, implemented in both SINGULAR and OSCAR.
JuliaCon 2024 - DistributedWorkflows.jl
In this talk, we present a serializer-independent interface to a task-based workflow management system. This package aims at simplifying the process of writing a distributed application. Given a workflow pattern as a Petri net and the code for the workflow tasks, our package can be used on a cluster (e.g. with Slurm), to automate the application's parallel deployment. Hence, DistributedWorkflows.jl will be an invaluable addition to the growing high-performance computing packages in Julia.
Young Researchers Symposium 2024 Talk - Adventures Await in The Shadow Realm of Mathematics.
The shadow realm of tropical geometry may seem a little peculiar at first since objects in this realm might not be what they look like. An object at hand might merely be a shadow or a reflection of an object in the real world. In recent times, more and more people are getting curious about this realm of shadows. Some say it is due to the fact that you can travel great distances in a fraction of the time, for ones who know their way and who dare to tread upon it. Yet for others, this realm offers solutions to problems that were unanswered in the outside world. We will familiarize ourselves with some of the alluring creatures that inhabit this shadow realm. We get close to tropical quartics, a tentacle monster, its shape-shifting companions, the bitangent shapes, the dual motifs where these shape-shifters dwell, and my adventure of identifying the territory the quartics occupy in the secondary cone. Curious adventurer be warned: if you continue on this path, it may lead you to many new possibilities but the way back may not be possible or even desired by you any longer. You might become one of the architects of this unique realm, taming its creatures, expanding its horizons, and opening a portal for these shadows to make contact on the other side.