Research Interests
 

I am interested in various areas of probability theory, particularly in the behavior of stochastic processes under constraints. This is one of the classical areas in probability, which plays an important role both in theory and in applications. It can be traced back at least to Doob's work in the 1950s. Currently, my research is mainly focused on conditioning Markov processes, such as Brownian motion, on rare events.

Publications
 

Talks and Conferences
 

  • 08/2024: Conference on Stochastic Processes Under Constraints (Bielefeld, Germany)
    Invited talk: Brownian Motion Conditioned to Spend Limited Time Outside a Bounded Interval
  • 08/2024: Bernoulli-IMS 11th World Congress in Probability and Statistics (Bochum, Germany)
    Contributed talk: Brownian Motion Conditioned to Spend Limited Time Outside a Bounded Interval
  • 08/2024: BS-IMS World Congress Pre-Meeting for Young Researchers 2024 (Essen, Germany)
    Poster: Brownian Motion Conditioned to Have Restricted L_2-Norm
  • 04/2024: Research Seminar in Probability Theory (Paderborn, Germany)
    Invited talk: Brownian Motion Conditioned to Have Restricted L_2-Norm
  • 02/2024: Spring School on Multiplicative Chaos and Cascade (Darmstadt, Germany)
    Contributed talk: Brownian Motion Conditioned to Spend Limited Time Outside a Bounded Interval
  • 01/2024: Research Seminar in Probability Theory (Munich, Germany)
    Invited talk: Brownian Motion Under Constraints: Two Recent Results
  • 12/2023: National Seminar on Probability and Statistics (Sofia, Bulgaria)
    Invited talk: Brownian Motion Conditioned to Spend Limited Time Outside a Bounded Interval
  • 11/2023: What is ...? Seminar in preparation of the mathematical colloquium (Darmstadt, Germany)
    Talk: What is the Zero-Range Process?
  • 07/2023: 43rd Conference on Stochastic Processes and their Applications (Lisbon, Portugal)
    Poster: Brownian Motion with Limited Occupation Times
  • 03/2023: Spring School on Probabilistic Methods in Population Biology (Darmstadt, Germany)
  • 02/2023: German Probability and Statistics Days 2023 (Essen, Germany).
    Contributed talk: Brownian Motion Conditioned to Spend Limited Time Below a Barrier
  • 11/2022: Research Seminar in Stochastics (Augsburg, Germany)
    Invited talk: Brownian Motion Conditioned to Spend Limited Time Below a Barrier
  • 07/2022: 10th International Conference on Lévy Processes (Mannheim, Germany)
  • 03/2022: Spring School on Random Geometric Graphs (Darmstadt, Germany)
    Contributed talk: Brownian Motion Conditioned to Spend Limited Time Below a Barrier
  • 03/2022: Conference on Branching and Persistence (Saumur, France)
  • 01/2022: What is ...? Seminar in preparation of the mathematical colloquium (Darmstadt, Germany)
    Talk: What is Random Allocation?
  • 10/2021: National Seminar on Probability and Statistics (Sofia, Bulgaria)
    Invited talk: Brownian Motion Conditioned to Spend Limited Time Below a Barrier
  • 09/2021: German Probability and Statistics Days 2021 (Mannheim, Germany)
    Contributed talk: Brownian Motion Conditioned to Spend Limited Time Below a Barrier
  • 07/2021: 15th PhD Students' Conference in Stochastics (Munich, Germany)
  • 04/2021: Research Seminar in Probability Theory (Paderborn, Germany).
    Invited talk: Brownian Motion Conditioned to Spend Limited Time Below a Barrier
  • 09/2020: Stochastic Processes under Constraints (Oberwolfach, Germany)
  • 03/2020: Spring School on Complex Networks (Darmstadt, Germany)
  • 02/2019: Spring School on Selected Topics in Stochastic Geometry (Darmstadt, Germany)
    Contributed talk: Uniqueness of Invariant Distributions of Markov Processes
  • 10/2018: Research Seminar in Stochastics (Darmstadt, Germany)
    Talk: On Perron-Frobenius-Type Theorems and Their Application to Markov Chains

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