Leonard Schmitz

I am a member of the Algebraische und Geometrische Methoden in der Datenanalyse group, lead by Carlos Amendola, at the TU Berlin. Before that, I was part of Bernd Sturmfels' Nonlinear Algebra group at the MPI MiS Leipzig.

Just recently I received my PhD at the University of Greifswald under the supervision of Joscha Diehl. Before that, I received my Master at the RWTH Aachen.

Email: lschmitz (at) math . tu-berlin . de

My work is supported by the CRC TRR 388 Rough Analysis, Stochastic Dynamics and Related Fields.

Upcoming events

• 2025-03-24/-28
  AlgStat 2025, TU Munich
• 2025-04-07/-11
  CRC TRR 388 Opening Conference, TU Berlin
• 2025-05-19/-23
  Signatures and Rough Paths: From Stochastics, Geometry and Algebra to Machine Learning, ICMS Edinburgh
• 2025-06-02/-04
  The 11th Conference of the Fachgruppe Computeralgebra, MPI MiS Leipzig

Publications

• -> on google scholar
  
• Finite Gröbner bases for quantum symmetric groups (code)
  with M. Wack arXiv:2503.15104, 2025.
• Signature matrices of membranes (video, slides)
  with F. Lotter arXiv:2409.11996, 2024.
• Free generators and Hoffman's isomorphism for the two-parameter shuffle algebra
  with N. Tapia arXiv:2401.06691, 2024.
• The barycenter in free nilpotent Lie groups and its application to iterated-integrals signatures (arxiv, code)
  with M. Clausel, J. Diehl, R. Mignot, N. Sugiura and K. Usevich SIAM Journal on Applied Algebra and Geometry, 2024.
• Two-parameter sums signatures and corresponding quasisymmetric functions (video, poster, slides, code)
  with J. Diehl arXiv:2210.14247, 2022.
• Formally Verifying Proofs for Algebraic Identities of Matrices
  with V. Levandovskyy Proceedings of the 13th Conference on Intelligent Computer Mathematics. LNAI Springer, 2020.