Dr. Tobias MaiResearch group Prof. Dr. SpeicherFree Probability Theory Saarland University Faculty of Mathematics D66123 Saarbruecken Germany room 225 (building E 2 4) phone: +496813023006 mail: mai [at] math.unisb.de postal address Universitaet des Saarlandes Fachrichtung Mathematik Postfach 151150 D66041 Saarbruecken Germany 

Education
2017  PhD in Mathematics at Saarland University, Saarbrücken 
Advisor: Prof. Dr. Roland Speicher  
PhD Thesis: On the analytic theory of noncommutative distributions in free probability  
2011  Master of Science (Mathematics) at Saarland University, Saarbrücken 
Advisor: Prof. Dr. Ernst Albrecht  
Master Thesis: On the Theory of Faber Polynomials (in German)  
(Course of studies finished on October 25, 2010)  
2009  Bachelor of Science (Mathematics) at Saarland University, Saarbrücken 
Advisor: Prof. Dr. Ernst Albrecht  
Bachelor Thesis: Compactness Criteria for Composition Operators on Bergman Type Spaces (in German)  
(Date of the last examination: October 15, 2008)  
2005  General Higher Education Entrance Qualification ("Allgemeine Hochschulreife"), 
ArnoldJanssenGymnasium St. Wendel 
Distinctions and awards
 Best teaching award (Summer term 2017) awarded by the student
association mathematics for the lecture Complex Analysis II
 Dr. Eduard MartinPreis 2017
Teaching
Summer term 2018:  Operator algebras (Functional analysis II) (Lecturer) 
Reading Seminar: A Mathematical Introduction to Modern Physics (Assistant)  
Winter term 2017/2018:  Complex Analysis II (Lecturer) 
Seminar on The Millenium Prize Problems (Lecturer)  
Summer term 2017:  Complex Analysis (Lecturer) 
Summer term 2016:  Von Neumann algebras, subfactors, and planar algebras (Assistant) 
Winter term 2015/2016:  Real Analysis I (Assistant) 
Research seminar / Seminar "Ramanujan graphs of all degrees" (Assistant)  
Summer term 2015:  Combinatorics and Graph Theory (Assistant) 
Winter term 2014/2015:  Noncommutative Distributions (Assistant) 
Summer term 2014:  Seminar "Noncommutative Function Theory (Free Analysis)" (Assistant) 
Winter term 2013/2014:  Random Matrices and Free Entropy (Assistant) 
Winter term 2012/2013:  Complex Analysis II (Lecturer) 
Summer term 2012:  Complex Analysis (Assistant) 
Winter term 2011/2012:  Real Analysis III (Assistant) 
Summer term 2011:  Seminar "Fourier Analysis" (Assistant) 
Conferences 2018
 Free Probability Theory (Workshop ID 1849)
Mathematical Research Institute of Oberwolfach, Germany
December 2  8, 2018
 Sums and Products of Random Matrices
Centre for Interdisciplinary Research (ZiF), Bielefeld, Germany
August 27  31, 2018
(talk: Regularity properties of limiting eigenvalue distributions by means of free probability theory)
Publications
 Banna, M., Mai, T.
Hölder Continuity of Cumulative Distribution Functions for
Noncommutative Polynomials under Finite Free Fisher Information
arXiv:1809.11153 [math.PR] (2018)  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., Speicher, R.
Free Probability, Random Matrices, and Representations of NonCommutative Rational Functions
Preprint 2017, accepted for publication in: Abel Symposia
 Mai, T.
Regularity of distributions of Wigner integrals
arXiv:1512.07593 [math.OA] (2015)  Helton, J. W., Mai, T., Speicher, R.
Applications of Realizations (aka Linearizations) to Free Probability
appeared in: Journal of Functional Analysis, Volume 274, Issue 1, 2018, pp 179
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 nonmicrostates free entropy dimension
appeared in: Advances in Mathematics, Volume 304, 2017, pp 10801107
arXiv:1502.06357 [math.OA] (2015)  Mai, T., Speicher, R., Weber, M.
Absence of algebraic relations and of zero divisors under the assumption
of finite nonmicrostates free Fisher information
arXiv:1407.5715 [math.OA] (2014)  Belinschi, S., Mai, T., Speicher, R.
Analytic subordination theory of operatorvalued free additive convolution
and the solution of a general random matrix problem
appeared in: Journal für die reine und angewandte Mathematik (Crelles Journal)
ISSN (Online) 14355345, ISSN (Print) 00754102, DOI: 10.1515/crelle20140138, April 2015
arXiv:1303.3196 [math.OA] (2013)  Mai, T., Speicher, R.
Operatorvalued and multivariate free BerryEsseen theorems
appeared in: Limit Theorems in Probability, Statistics and Number Theory,
Springer Proceedings in Mathematics & Statistics Volume 42, 2013, pp 113140
arXiv:1202.2740 [math.OA] (2012)  Speicher, R., Vargas, C., Mai, T.
Free Deterministic Equivalents, Rectangular Random Matrix Models,
and OperatorValued Free Probability Theory
appeared in: Random Matrices: Theory and Applications, Volume 01, Issue 02, April 2012
arXiv:1110.1237 [cs.IT] (2011)
updated: 1 October 2018 Tobias Mai  Impressum 