Tobias Schmidt

Hi :) I recently defended my PhD thesis at TU Darmstadt, where I was very fortunate to be supervised by Volker Betz. In September, I will begin a position as postdoctoral fellow at the Center of Mathematical Sciences and Applications (Harvard University).

My field of research lies in mathematical physics and computer science. More specifically, I am interested in many-body quantum systems, statistical mechanics and mean-field control. Currently, most of the work I am involved in concerns path measures arising from QFT, leading to self-interacting Gibbsian reweightings of well-known stochastic processes. Interesting properties of the resulting measures are for example localization properties, variance bounds or diffusive/non-diffusive behaviour. Furthermore, I am also exploring the more analytic side in polaron models.

Previously, I studied computer science at TU Darmstadt as well as business system engineering at the Technische Hochschule Mittelhessen.

I am currently funded by the German Research Foundation (DFG) and part of the A(E)MP network led by Simone Rademacher and Benjamin Hinrichs.

If you are interested in discussing some math, feel free to reach out! My email address is FirstName.LastName "at" tu-darmstadt.de.

Publications and Preprints

T. Schmidt and M. Sellke.
On Anti-Confinement Estimates for Self-Repelling Random Walks.
arXiv:2602.14497 (2026).
T. Schmidt and K. Cui.
Mean-Field Control on Sparse Graphs: From Local Limits to GNNs via Neighborhood Distributions.
arXiv:2601.21477 (2026).
V. Betz, T. Schmidt, and M. Sellke.
Sub-diffusive regimes for long range self-interacting path measures.
arXiv:2511.09472 (2025).
V. Betz, T. Schmidt, and M. Sellke.
Enhanced binding for a quantum particle coupled to scalar quantized field.
arXiv:2410.22569 (2024).
T. Schmidt.
Explicit bounds for a Gaussian decomposition Lemma of Sellke.
Statistics and Probability Letters, Vol. 219, 110342 (2025).
V. Betz, T. Schmidt, and M. Sellke.
Mean square displacement of Brownian paths perturbed by bounded pair potentials.
Electronic Journal of Probability, 30:1–17 (2025).
S. Wegener, T. Schmidt, J. Prim, N. Gumpfer, D. Gruen, J. Hannig, M. Guckert, and T. Keller.
Detecting a broader spectrum of cardiac pathologies in electrocardiogram data by applying a deep neural network designed to detect a specific cardiac disease.
European Heart Journal, Vol. 42, Issue Supplement 1 (2021).

Misc

I am currently jointly organising the Oberseminar Stochastik and the Rhein-Main-Kolloquium at TU Darmstadt.

Talks

02/2026: NYU Probability and Mathematical Physics Seminar (Courant Intitute, NYU)
10/2025: Stat300 Seminar (Department of Statistics, Harvard University)
09/2025: Quantissima sur Oise (Cergy)
03/2025: Spring School on Logarithmic Correlated Fields (TU Darmstadt)
03/2025: German Probability and Stochastic Days 2025 (Dresden)
12/2024: Oberseminar (TU Darmstadt)

Participated Workshops and Research Stays

03/2026: A(E)MP network meeting (Apolda)
02/2026: Research stay at Courant institute (New York; with Chokri Manai)
10/2025–12/2025: Visiting PhD Fellow at the Department of Statistics, Harvard University (Boston; with Mark Sellke)
10/2025: Arbeitsgemeinschaft on Many-Body Quantum Systems (Oberwolfach)
09/2025: Quantissima sur Oise (Many-Body Quantum Systems) (Cergy)
03/2025: Spring School on Logarithmic Correlated Fields (Darmstadt)
03/2025: German Probability and Stochastic Days (Dresden)
09/2024: Research stay at the Department of Statistics, Harvard University (Boston; with Mark Sellke)
07/2024: Summer School on Many-Body Systems (Zurich)
04/2024: ICMP (Strasbourg)
02/2024: Spring School on Multiplicative Chaos and Cascades (Darmstadt)
08/2023: Conference on Bose–Einstein Condensation (Munich)
03/2023: Spring School on Probabilistic Methods in Population Biology (Darmstadt)

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