Dr. Tobias MaiArbeitsgruppe Prof. Dr. SpeicherFreie Wahrscheinlichkeitstheorie Universität des Saarlandes Fachrichtung Mathematik Postfach 151150 66041 Saarbrücken Zimmer 225 (Gebäude E 2 4) Telefon: 0681-302-3006 E-mail: mai [at] math.uni-sb.de |
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Ausbildung
| 2017 | Promotion im Fach Mathematik an der Universität des Saarlandes, Saarbrücken |
| Betreuer: Prof. Dr. Roland Speicher | |
| Dissertation: On the analytic theory of non-commutative distributions in free probability | |
| 2011 | Master of Science (Mathematik) an der Universität des Saarlandes, Saarbrücken |
| Betreuer: Prof. Dr. Ernst Albrecht | |
| Masterarbeit: Zur Theorie der Faberpolynome | |
| (Abschluss des Studiengangs am 25. Oktober 2010) | |
| 2009 | Bachelor of Science (Mathematik) an der Universität des Saarlandes, Saarbrücken |
| Betreuer: Prof. Dr. Ernst Albrecht | |
| Bachelorarbeit: Kompaktheitskriterien für Kompositionsoperatoren auf Räumen vom Bergmantyp | |
| (Datum der letzten Prüfung: 15. Oktober 2008) | 2005 | Allgemeine Hochschulreife, Arnold-Janssen-Gymnasium St. Wendel |
Preise und Auszeichnungen
- Preis für die beste Lehre (SoSe 2017) der Fachschaft
Mathematik für die Vorlesung Funktionentheorie
- Dr. Eduard Martin-Preis 2017
Lehre
Konferenzen und Seminare
2021
- Mini-course and Workshop on the Non-commutative Function Theory (16. - 18. November 2021)
als Teil des Focus Program on Analytic Function Spaces and their Applications
Fields Institute, Toronto, Kanada
1. Juli - 31. Dezember, 2021
- IWOTA 2020: International Workshop on Operator Theory and its Applications
Special Session on Noncommutative Probability and Random Matrices
Lancaster University, Lancaster, England
16. - 20. August 2021
- UniMelb-Bielefeld RMT Seminar
The University of Melbourne (Fernvortrag)
9. Juni 2021
(Vortrag: Noncommutative rational functions evaluated in random matrices)
- Technion Math Colloquium, Pre-Colloquium Talk
Technion, Haifa, Israel (Fernvortrag)
21. Januar 2021
(Vortrag: What actually is free probability theory?, Video des Vortrags)
2020
- verschoben: IWOTA 2020: International Workshop on Operator Theory and its Applications
Special Session on Noncommutative Probability and Random Matrices
Lancaster University, Lancaster, England
17. - 21. August 2020
- abgesagt: Free Probability - on the occasion of Roland Speicher's 60th birthday
Saarbrücken, Deutschland
8. - 12. Juni 2020
- verschoben: Quantitative methods in random matrix theory
Toulouse, Frankreich
3. - 5. Juni 2020
- UC Berkeley Probabilistic Operator Algebra Seminar
Berkeley, USA (Fernvortrag)
20. April 2020
(Vortrag: Free and cyclic differential calculus and characterizations of gradients)
- Real Algebraic Geometry with a View Toward Hyperbolic Programming
and Free Probability (Workshop ID 2010)
Mathematisches Forschungsinstitut Oberwolfach, Deutschland
1. - 7. März 2020
(Vortrag: Free probability: operator theoretic aspects and regularity properties of noncommutative distributions)
2019
- Random Matrices (Workshop ID 1950)
Mathematisches Forschungsinstitut Oberwolfach, Deutschland
8. - 14. Dezember 2019
(Vortrag: Limit laws of random matrices beyond the Dyson equation)
- Kyoto Operator Algebra Seminar
Kyoto University, Department of Mathematics
Vortrag 1 (8. November 2019): Free differential calculus I: on the L²-theory for free differential operators
and regularity of noncommutative distributions
Vortrag 2 (12. November 2019): The free field meets free probability theory
Vortrag 3 (13. November 2019): Free differential calculus II: characterizations of free and cyclic gradients
- IWOTA 2019: International Workshop on Operator Theory and its Applications
Special Session on Free Analysis and Free Probability
Instituto Superior Tecnico, Lissabon, Portugal
22. - 26. Juli 2019
(Vortrag: Regularity properties of spectral distributions: from free probability to random matrix theory)
- Oberseminar Stochastik
Universität Bonn, Institut für Angewandte Mathematik
11. Juli 2019
(Vortrag: Spectral distributions of noncommutative functions: from free probability to random matrix theory)
- Workshop on Applications to Random Matrices and Free Probability of Free
Noncommutative Functions (17. - 21. Juni 2019)
als Teil des Focus Program on Applications of Noncommutative Functions
Fields Institute, Toronto, Kanada
10. Juni - 5. Juli 2019
(Vortrag: Noncommutative functions and regularity properties of spectral distributions)
- New Developments in Free Probability and Applications
Centre de Recherches Mathématiques, Montreal, Kanada
1. - 31. März 2019
(Vortrag: The free field meets free probability theory)
2018
- Free Probability Theory (Workshop ID 1849)
Mathematisches Forschungsinstitut Oberwolfach, Deutschland
2. - 8. Dezember 2018
(Vortrag: Regularity properties of noncommutative distributions)
- Sums and Products of Random Matrices
Center for Interdisciplinary Research (ZiF), Bielefeld, Deutschland
27. - 31. August 2018
(Vortrag: Regularity properties of limiting eigenvalue distributions by means of free probability theory)
Publikationen
erschienen
- Mai, T., Speicher, R.
A Note on the Free and Cyclic Differential Calculus
erschienen in: Journal of Operator Theory, Volume 85, Issue 1, Winter 2021, pp. 183-215
arXiv:1910.07570 [math.OA] (2019) - Banna, M., Mai, T.
Hölder Continuity of Cumulative Distribution Functions for
Noncommutative Polynomials under Finite Free Fisher Information
erschienen in: Journal of Functional Analysis, Volume 279, Issue 8, 1 November 2020
arXiv:1809.11153 [math.PR] (2018) - Cébron, G., Fathi, M., Mai, T.
A note on existence of free Stein kernels
erschienen in: Proceedings of the American Mathematical Society
arXiv:1811.02926 [math.OA] (2018) - Mai, T., Speicher, R.
Free Probability, Random Matrices, and Representations of Non-Commutative Rational Functions
erschienen in: Computation and Combinatorics in Dynamics, Stochastics and Control.
Abelsymposium 2016. Abel Symposia, vol 13. Springer, Cham
- Helton, J. W., Mai, T., Speicher, R.
Applications of Realizations (aka Linearizations) to Free Probability
erschienen in: Journal of Functional Analysis, Volume 274, Issue 1, 2018, pp 1-79
arXiv:1511.05330 [math.OA] (2015) - Mai, T., Speicher, R., Weber, M.
Absence of algebraic relations and of zero divisors under the assumption
of full non-microstates free entropy dimension
erschienen in: Advances in Mathematics, Volume 304, 2017, pp 1080-1107
arXiv:1502.06357 [math.OA] (2015) - Belinschi, S., Mai, T., Speicher, R.
Analytic subordination theory of operator-valued free additive convolution
and the solution of a general random matrix problem
erschienen in: Journal für die reine und angewandte Mathematik (Crelles Journal)
ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/crelle-2014-0138, April 2015
arXiv:1303.3196 [math.OA] (2013) - Mai, T., Speicher, R.
Operator-valued and multivariate free Berry-Esseen theorems
erschienen in: Limit Theorems in Probability, Statistics and Number Theory,
Springer Proceedings in Mathematics & Statistics Volume 42, 2013, pp 113-140
arXiv:1202.2740 [math.OA] (2012) - Speicher, R., Vargas, C., Mai, T.
Free Deterministic Equivalents, Rectangular Random Matrix Models,
and Operator-Valued Free Probability Theory
erschienen in: Random Matrices: Theory and Applications, Volume 01, Issue 02, April 2012
arXiv:1110.1237 [cs.IT] (2011)
Preprints
- Banna, M., Mai, T.
Berry-Esseen bounds for the multivariate B-free CLT and operator-valued matrices
arXiv:2105.02044 [math.PR] (2021) - Collins, B., Mai, T., Miyagawa, A., Parraud, F., Yin, S.
Convergence for noncommutative rational functions evaluated in random matrices
arXiv:2103.05962 [math.OA] (2021) - Mai, T., Speicher, R., Yin, S.
The free field: realization via unbounded operators and Atiyah property
arXiv:1905.08187 [math.OA] (2019) - Mai, T., Speicher, R., Yin, S.
The free field: zero divisors, Atiyah property and realizations via unbounded operators
arXiv:1805.04150 [math.OA] (2018) - Mai, T.
Regularity of distributions of Wigner integrals
arXiv:1512.07593 [math.OA] (2015) - Mai, T., Speicher, R., Weber, M.
Absence of algebraic relations and of zero divisors under the assumption
of finite non-microstates free Fisher information
arXiv:1407.5715 [math.OA] (2014)
| Aktualisiert am: 9. Juni 2021 Tobias Mai | Impressum |
