Mathias Sonnleitner
About me
I am an Erwin Schrödinger postdoctoral fellow at Institute of Mathematical Stochastics, University of Münster. Before, I was a postdoctoral researcher at University of Passau.
I am interested in fields related to functional analysis, geometry and probability theory such as:
Asymptotic Geometric Analysis, Geometric Probability, Information-based Complexity, Stochastic Geometry,...
Email: mathias.sonnleitner[at]uni-muenster.de
math.firstletteroflastname[at]posteo.net
2024-04 - now: Erwin Schrödinger postdoctoral fellow at Institute of Mathematical Stochastics, University of Münster hosted by Prof. Dr. Zakhar Kabluchko
2022-05 - 2024-03: Postdoctoral research fellow at Faculty of Computer Science and Mathematics, University of Passau in group of Prof. Dr. Joscha Prochno
2022-05: Dr. rer. nat. (~Phd) in Mathematics at University of Passau supervised by Prof. Dr. Joscha Prochno & Univ.-Prof. Dr. Aicke Hinrichs
2019-10 - 2022-04: Research assistant at Johannes Kepler University Linz and University of Graz (alternating stays)
2015-10 - 2019-09: BSc. and Dipl.-Ing. (~MSc.) in Mathematics at Johannes Kepler University Linz
Publications and Preprints
13. with J. Prochno and J. Vybı́ral: Entropy numbers of finite-dimensional Lorentz space embeddings.
12. with J. Prochno, C. Schütt and E. M. Werner: Random approximation of convex bodies in Hausdorff distance.
11. with M. Ullrich: On the power of iid information for linear approximation. JANA, 1:88-126, 2023.
arXiv:2310.12740 | doi.org/10.30970/ana.2023.1.88
10. with C. Thäle: A note on critical intersections of classical and Schatten p-balls.
9. Unlocking Your Bike the Easy Way. Amer. Math. Monthly (accepted), 2024+.
8. with Z. Kabluchko and J. Prochno: A probabilistic approach to Lorentz balls.
7. with A. Hinrichs and J. Prochno: Random sections of ℓp -ellipsoids, optimal recovery and Gelfand numbers of diagonal operators. J. App. Theory, 293, Article 105919, 2023.
arXiv:2109.14504 | doi.org/10.1016/j.jat.2023.105919
6. with D. Krieg: Function recovery on manifolds using scattered data.
5. with D. Krieg and E. Novak: Recovery of Sobolev functions restricted to iid sampling. Math. Comp., 91(338):2715–2738, 2022.
arXiv:2108.02055 | doi.org/10.1090/mcom/3763
4. with F. Pillichshammer: On the relation of the spectral test to isotropic discrepancy and Lq -approximation in Sobolev spaces. J. Complex., 67, Article 101576, 2021.
arXiv:2010.04522 | doi.org/10.1016/j.jco.2021.101576
3. with D. Krieg: Random points are optimal for the approximation of Sobolev functions. IMA J. Numer. Anal., 2023.
arXiv:2009.11275 | doi.org/10.1093/imanum/drad014
2. with A. Baci, Z. Kabluchko, J. Prochno and C. Thäle: Limit theorems for random points in a simplex. J. Appl. Probab., 59(3):685–701, 2022.
arXiv:2005.04911 | doi.org/10.1017/jpr.2021.77
1. with F. Pillichshammer: A note on isotropic discrepancy and spectral test of lattice point sets. J. Complex., 58, Article 101441, 2020.
arXiv:1907.06435 | doi.org/10.1016/j.jco.2019.101441
Theses
The power of random information for numerical approximation and integration, Phd thesis, University of Passau, 2022. nbn-resolving.de/urn:nbn:de:bvb:739-opus4-11305
Discrepancy and Numerical Integration on Spheres, Master's thesis, Johannes Kepler University Linz, 2019. resolver.obvsg.at/urn:nbn:at:at-ubl:1-30468