Felix Lotter
Hello!
I am a third year PhD student at the Max-Planck-Institute for Mathematics in the Sciences in Leipzig, Germany, under the supervision of Bernd Sturmfels and co-advised by Rosa Preiß. Before that, I studied mathematics at LMU Munich and University of Bonn.
My main interests lie in Algebraic Geometry and its applications. As member of the project A04 in the transregional research cluster TRR 388 I work on topics related to the Algebra and Geometry of Path Signatures together with Carlos Améndola, Rosa Preiß, Leonard Schmitz and Bernd Sturmfels. I also like to read and think about multiple zeta values, combinatorics/discrete mathematics, machine learning, connections to physics...
I graduated in February 2024 from the University of Bonn. For my master's thesis I studied the six functor formalism of étale 𝔽p-sheaves on schemes in characteristic p under the supervision of Johannes Anschütz.
I am on the academic job market for fall 2027!
E-Mail:
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Research
- Toric Varieties from Multiple Zeta Values, with Annika Burmester, Steven Charlton, Abhiram Kidambi and Rosa Preiß, arXiv:2610.37351.
- Piecewise Symmetric Tensors, with Rosa Preiß, arXiv:2607.04712.
- The Universe Fan, with Hadleigh Frost, arXiv:2602.21194.
- Cohomologically Smooth Morphisms for Étale 𝔽p-Sheaves in Characteristic p, arXiv:2403.11149.
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- Signature Varieties of Splines, with Carlos Améndola and Leonard Schmitz.
ISSAC '26: Proceedings of the 2026 International Symposium on Symbolic and Algebraic Computation, pp. 1–10. Preprint available at arXiv:2602.13011. - Computing Path Signature Varieties in Macaulay2, with Carlos Améndola, Angelo El Saliby and Oriol Reig Fité.
Journal of Software for Algebra and Geometry, Vol. 16 (2026), No. 1, pp. 63–77. Preprint available at arXiv:2506.01429. - Signature Matrices of Membranes, with Leonard Schmitz.
Algebraic Statistics, Vol. 17 (2026), No. 1, pp. 45–57. Preprint available at arXiv:2409.11996. - Cyclic Polytopes through the Lens of Iterated Integrals, with Rosa Preiß.
Special volume on Positive Geometry, Le Matematiche 80 (1) (2025), pp. 365-385. Preprint available at arXiv:2412.11283.
- Signature Varieties of Splines, with Carlos Améndola and Leonard Schmitz.
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- 2026-07-17 ISSAC 2026, Oldenburg: Signature Varieties of Splines (Slides).
- 2026-04-23 MPI MiS Positive Geometry Seminar: Toric Geometry of Multiple Zeta Values
- 2026-02-26 MPI MiS Positive Geometry Seminar: The Universe Fan
- 2025-12-12 22nd Oxford-Berlin Young Researcher's meeting: Signature Tensors of Piecewise Polynomial Paths
- 2025-07-09 2025 SIAM Conference: Signature Matrices of Membranes.
- 2025-06-02 The 11th Conference of the Fachgruppe Computeralgebra: PathSignatures - a Macaulay2 package for working with signature tensors (Slides).
- 2025-05-22 Signatures and Rough Paths: From Stochastics, Geometry and Algebra to Machine Learning: Signature Matrices of Membranes (Slides).
- 2024-11-29 ACPMS Seminar: Signature Matrices of Membranes (Slides).
- 2024-11-13 Discrete Mathematics and Discrete Geometry Seminar, TU Berlin: Cyclic Polytopes through the Lens of Iterated Integrals.
- 2024-04-09 MPI MiS Nonlinear Algebra Seminar: Signature Matrices of Membranes
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- Interactive Path Signature Visualizer - Draw paths and explore their signatures!
Events
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- 2026-11-04 Mini-Workshop on Riemann Surfaces
- 2026-10-26/-27 Singular Learning Theory Days 2026
- 2026-09-28/-10-02 Universe+ Annual Meeting, Cambridge
- 2026-07-13/-17 ISSAC 2026, Oldenburg
- 2026-07-06/-10 MEGA 2026, Durham
- 2026-06-18/-20 CRC/TRR 388 Retreat
- 2026-05-11/-13 Benchmarks in Leipzig
- 2026-02-04/-06 Algebraic and geometric aspects of signatures and rough analysis
- 2025-12-11/-13 22nd Oxford-Berlin Young Researchers Meeting on Applied Stochastic Analysis
- 2025-10-15/-17 Algebraic methods in dynamics and particle physics
- 2025-09-24/-26 IMPRS Combo IV: Path Signature - From rough path theory to algebra and geometry
- 2025-09-11/-13 CRC/TRR 388 Retreat