Stefan Wagner

I was a Ph.D. student supervised by Prof. Dr. Sabine Jansen.

Research Interests

I am interested in probability theory. In particular, I focus on

• duality and intertwining relations,
• particle systems in non-discrete setting,
• creation and annihilation operators, chaos-decompositions,
• consistent Markov processes like inclusion and exclusion processes, sticky Brownian motions.

Publications and Preprints

• S.W.
  Intertwining for particle systems in the continuum
  Dissertation (2024)
• S. Floreani, S. Jansen, F. Redig, S.W.
  Intertwining and duality for consistent Markov Processes
  Electron. J. Probab. 29 (2024)
• S.W.
  Orthogonal intertwiners for infinite particle systems in the continuum
  Stochastic Process. Appl. 168 (2024), 104269.
• S. Floreani, S. Jansen, S.W.
  Intertwinings for Continuum Particle Systems: an Algebraic Approach
  Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 20 (2024), 046, 21 pages.
• S. Floreani, S. Jansen, S.W.
  Representations of the su(1,1) current algebra and probabilistic perspectives
  arXiv:2402.07493 [math.PR], 36 pp.

Conferences, Research Stays and Talks

• July 2023: 43rd Conference on Stochastic Processes and their Applications, Lisbon
  Talk: "Infinite Particle Systems in Non-Discrete Spaces: Orthogonal Intertwiners", [slides]
• April 2023: Research Stay at Mathematical Institute, University of Oxford
  Talk: "Orthogonal Intertwiners for Infinite Particles On The Continuum", [slides]
• March 2023: Second Annual Conference, SPP2265 Random Geometric Systems, German Aerospace Center, Cologne
• December 2022: Workshop: Recent Developments in Stochastic Duality at Eurandom, Eindhoven University of Technology
  Talk: "The algebraic approach to duality in non-discrete spaces", [slides]
• September 2022: Discrete Random Systems, Munich Summer School, Schliersee
• August 2022: 17. Doktorand:innentreffen der Stochastik at University of Klagenfurt
• July 2022: Munich Conference on Quantum Science and Technology 2022, Munich Center for Quantum Science and Technology (MCQST), Sonthofen
• June, July 2022: Research Stay, Junior Trimester Program: Stochastic Modelling in the Life Science: From Evolution to Medicine, Hausdorff Research Institute for Mathematics, Bonn
• June 2022: Workshop: Population Genetics, Interacting Particle Systems and Stochastic Flows: a duality perspective at Hausdorff Research Institute for Mathematics, Bonn
  Talk: "Intertwining for continuum interacting particle systems", [slides]
• April 2022: First Annual Conference, SPP2265 Random Geometric Systems, Berlin
• February 2022: Webinar: Inclusion Process and Sticky Brownian Motions by YoungStatS, Young Statisticians Europe initiative (FENStatS), Virtual Conference
  Talk: "The Inclusion Process on General Spaces: Reversible Measures, Consistency and Self-Duality", [slides]
• July 2021: 16. DoktorandInnentreffen der Stochastik, Virtual Conference
  Talk: "Stochastic Self-Duality for Consistent Particle Systems on General State Spaces", [slides]
• June 2021: 24th International Internet Seminar: C*-algebras and dynamics, Virtual Conference
  Talk: "Universal C*-algebra of two projections"
• June 2019: Ergodic Theorems, 22nd International Internet Seminar, Wuppertal
  Talk: "The Halmos-von Neumann Theorem"