Preprints

• Wave Function Renormalization for Particle-Field Interactions
  with Marco Falconi and Javier Valentín Martín
  arXiv:2603.07045

• On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks
  with Pascal Mittenbühler
  arXiv:2511.13409

• Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems
  with Steffen Polzer
  arXiv:2511.02867

• Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach
  In celebration of Hiroshima-sensei sixtieth birthday.
  with Marco Falconi
  arXiv:2505.19977 

• Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions
  with Jonas Lampart and Javier Valentín Martín
  arXiv:2502.04876

• On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
  with Volker Betz, Mino Nicola Kraft and Steffen Polzer
  arXiv:2501.19362

• On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups
  with Fumio Hiroshima
  arXiv:2412.09708

• Feynman-Kac formulas for semigroups generated by multi-polaron Hamiltonians in magnetic fields and on general domains
  with Oliver Matte
  arXiv:2403.12147

Refereed Journal Articles

• Restricted Monte Carlo wave function method and Lindblad equation for identifying entangling open-quantum-system dynamics
  with Laura Ares, Julien Pinske, Martin Kolb and Jan Sperling
  Phys. Rev. A 113, 012220, 2026
  doi:10.1103/hcj7-8zlg arXiv:2412.08735

• Separability Lindblad equation for dynamical open-system entanglement
  with Julien Pinske, Laura Ares, Martin Kolb and Jan Sperling
  Phys. Rev. A 113,  L010403,  2026
  doi:10.1103/kd3b-bfxq arXiv:2412.08724

• On Lieb-Robinson bounds for a class of continuum fermions
  with Marius Lemm and Oliver Siebert
  Ann. Henri Poincaré 26(1):41-80, 2025
  doi:10.1007/s00023-024-01453-y arXiv:2310.17736

• A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
  with Jonas Lampart
  C. R. Math. 362:1319-1411,  2024
  doi:10.5802/crmath.652 arXiv:2311.05361

• Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
  with David Hasler and Oliver Siebert
  J. Funct. Anal. 286(7):110319, 2024
  doi:10.1016/j.jfa.2024.110319 arXiv:2302.06998

• Feynman-Kac formula and asymptotic behavior of the minimal energy for the relativistic Nelson model in two spatial dimensions
  with Oliver Matte
  Ann. Henri Poincaré 25(6):2877-2940, 2024
  doi:10.1007/s00023-023-01369-z arXiv:2211.14046

• Super-Gaussian Decay of Exponentials: A Sufficient Condition
  with Daan Willem Janssen and Jobst Ziebell
  J. Math. Anal. Appl. 528(1):127558, 2023
  doi:10.1016/j.jmaa.2023.127558 arXiv:2205.09189

• Absence of Ground States in the Renormalized Massless Translation-Invariant Nelson Model
  with Thomas Norman Dam
  Rev. Math. Phys. 34(10):2250033, 2022
  doi:10.1142/S0129055X22500337 arXiv:1909.07661

• FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field
  with David Hasler and Oliver Siebert
  Ann. Henri Poincaré 23(8):2819-2853, 2022
  doi:10.1007/s00023-022-01160-6 arXiv:2106.08659

• Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model
  with David Hasler and Oliver Siebert
  Stoch. Process. Appl. 146:60-79, 2022
  doi:10.1016/j.spa.2021.12.010 arXiv:2104.03013

• On Existence of Ground States in the Spin Boson Model
  with David Hasler and Oliver Siebert
  Commun. Math. Phys. 388(1):419-433, 2021
  doi:10.1007/s00220-021-04185-w arXiv:2102.13373

Proceedings Articles and Others

• Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions
  with Oliver Matte
  RIMS Kôkyûroku 2310(3), 2025
  Fumio Hiroshima: Proceedings of the 2023 RIMS Workshop 'Mathematical Aspects of Quantum Fields and Related Topics'
  Link arXiv:2309.09005

• Existence of Ground States in the Infrared-Critial Spin Boson Model
  RIMS Kôkyûroku 2235(5):60-72, 2022,
  Fumio Hiroshima: Proceedings of the 2021 RIMS Workshop 'Mathematical Aspects of Quantum Fields and Related Topics'
  Link arXiv:2204.00287

• Comment for the Newsletter Lehre of the Friedrich Schiller University Jena
  Newsletter Lehre 03/2021

Simone Rademacher and myself initiated the DFG-funded scientific network 'A(E)MP - Appearance of the Effective Mass in Polaron Models', which started with a kickoff meeting in March 2026. A network website will appear online soon.

Together with Volker Bach (Braunschweig), David Hasler (Jena) and Sören Petrat (Bremen), we organize the Workshop Series 'Mathematical Physics in the Heart of Germany'. The one day workshops take place once per semester at one of the participating universities.

Joint with Martin Kolb and Tobias Weich, we organize the research seminar 'Complex Quantum Systems' at Paderborn University. Since summer 2025, Martin Kolb and I also organize the 'Dis­tin­guis­hed Lec­tu­res on Com­plex Quan­tum Sys­tems'.

In summer term 2026, joint with Janik Kruse, I teach the course 'Mathematical Methods of Quantum Mechanics'. Before, I have taught (in inverse order) the lectures 'Einführung in mathematisches Denken und Arbeiten (EmDA)', 'Mathematical Quantum Mechanics', 'Functional Analysis' and 'Analysis for Teachers'. From winter 2023/24 to summer 2025, I also organized the master's program 'Mathematical Physics' at Paderborn University, joint with Martin Kolb.