Research

I am a mathematical researcher investigating the theory of probabilistic features occurring in real world phenomena. My core research lies in the field of stochastic fluid dynamics where I am particularly interested in the influence of different types of noise on physically motivated mathematical models. In this context I apply tools from stochastic analysis with a focus on stochastic (partial) differential equations.

also refer to: arXiv, Google Scholar, ORCiD

Preprints.

[2] Non-uniqueness of mild solutions to supercritical heat equations
together with Irfan Glogić, Martina Hofmanová, and Eliseo Luongo
2025
ARXIV

[1] Non-uniqueness of Leray-Hopf solutions for the 3D fractional Navier-Stokes equations perturbed by transport noise
together with Marco Rehmeier, and Andre Schenke
2024
ARXIV

Publications.

[7] On convex integration solutions to the surface quasi-geostrophic equation driven by generic additive noise
together with Florian Bechtold, and Jörn Wichmann
Electronic Journal of Probability, 29, 1-38, 2024
DOI ARXIV

[6] Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise
together with Martina Hofmanová, and Umberto Pappalettera
Probability Theory and Related Fields, 1-73, 2023
DOI ARXIV

[5] Regularization by noise of an averaged version of the Navier-Stokes equations
Journal of Dynamics and Differential Equations, 1-26, 2023
DOI ARXIV

[4] Derivation of ensemble Kalman-Bucy filters with unbounded nonlinear coefficients
Nonlinearity, 35(2), 1061-1092, 2021
DOI ARXIV

[3] Mean field limit of Ensemble Square Root Filters - discrete and continuous time
together with Wilhelm Stannat
Foundations of Data Science, 3(3), 563-588, 2021
DOI ARXIV

[2] On the continuous time limit of Ensemble Square Root Filters
together with Wilhelm Stannat
Communications in Mathematical Sciences, 19(7), 1855-1880, 2021
DOI ARXIV

[1] On the continuous time limit of the ensemble Kalman filter
together with Wilhelm Stannat
Mathematics of Computation, 90(327), 233-265, 2021
DOI ARXIV

PhD-Thesis.

• Stochastic analysis of ensemble-based Kalman-type filtering algortihms in discrete and continuous time
  Technical University Berlin
  2021
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