Welcome
I am currently post-doctoral research associate at the University of Münster in the research group of Hendrik Weber. Previously I was PhD student at the Max Planck Institute for Mathematics in the Sciences in Leipzig, supervised by Felix Otto. In 2020 I obtained my Masters degree at TU Vienna.
Research
Generally speaking, I'm interested in PDEs arising in physical applications. More precisely, I am interested in situations where randomness comes into play, resulting in (singular) stochastic PDEs which are in need of renormalization. My current focus is on well-posedness and universality of such equations, which sits at the intersection of analysis, probability and algebra.
Other research interests include large deviations theory, metastability and numerical methods for (S)PDEs.
Publications and Preprints
Lecture notes on Malliavin calculus in regularity structures. [ arXiv ]
Together with L. Broux and F. Otto.Stochastic estimates for the thin-film equation with thermal noise. [ arXiv ]
Together with R. S. Gvalani.Characterizing models in regularity structures: a quasilinear case. [ arXiv | doi ]
Probab. Theory Relat. Fields (2024).Lecture notes on tree-free regularity structures. [ arXiv | doi ]
Together with F. Otto and K. Seong.
Mat. Contemp. 58 (2023), 150-196.A diagram-free approach to the stochastic estimates in regularity structures. [ arXiv | doi ]
Together with P. Linares, F. Otto and P. Tsatsoulis.
Invent. math. (2024).The structure group for quasi-linear equations via universal enveloping algebras. [ arXiv | doi ]
Together with P. Linares and F. Otto.
Comm. Amer. Math. Soc. 3 (2023), 1-64.
Contact
Markus Tempelmayr
Universität Münster
Einsteinstr. 62, 48149 Münster, Germany
Email: markus dot tempelmayr at uni-muenster dot de