former courses
- Seminar Hopf Algebras his moodle
- Lecture Hopf Algebras his moodle
- Linear Algebra and Analytic Geometry II his moodle
- Linear Algebra and Analytic Geometry I his moodle
- Complex Analysis his moodle
- Operator Algebras content his moodle
- Stochastic Processes content his moodle
- Summary Stochastic Processes (in german)
- Measure Theory and Integration his moodle
- Probability Theory his moodle
- Linear Algebra and Analytic Geometry II his moodle
- Fourier Analysis/Theory of Distributions his moodle
- Linear Algebra and Analytic Geometry I his moodle
- Complex Analysis his moodle
- Stochastische Prozesse
- Funktionalanalysis
- Algebra II
- Stochastische Integration
- Seminar Faltungshalbgruppen von Wahrscheinlichkeitsmaßen
chosen publications
- S. Manzel, M. Schürmann, Non-commutative stochastic independence and cumulants, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20 (2017) 1750010 (38 pages)
- M. Gerhold, S. Lachs, M. Schürmann, Categorial Lévy processes, arXiv:1612.05139 [math.CT]
- Schürmann, M.; Voß, S. Schoenberg Correspondence on Dual Groups. Comm. Math. Phys., 328 (2): 849-865, 2014
- Schürmann, M.; Skeide, M.; Volkwardt, S. Transformation of quantum Lévy processes on Hopf algebras. Commun. Stoch. Anal., 4(4) (2010), 553-577
- Sahu, L.; Schürmann, M.; Sinha, K.B. Unitary processes with independent increments and representations of Hilbert tensor
algebras. Publ. Res. Inst. Math. Sci. 45 (2009), 745-785 - Ben Ghorbal, Anis; Schürmann, Michael Quantum Lévy Processes on Dual Groups. Math. Z. 251 (2005), 147-165.
- Ben Ghorbal, Anis; Schürmann, Michael Non-commutative notions of stochastic independence. Math. Proc. Phil. Soc. (2002), 133, 531.
- Schürmann, Michael Operator Processes Majorizing their Quadratic Variation. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3, (2000), no.1, 99-120.
- Schürmann, Michael Direct sums of tensor products and non-commutative independence. J. Funct. Anal. 133, (1995), no. 1, 1--9.
- Schürmann, Michael White noise on bialgebras. Lecture Notes in Mathematics, 1544, Springer-Verlag, Berlin, 1993. vi+146 pp. ISBN: 3-540-56627-9.
- Schürmann, Michael Quantum $q$-white noise and a $q$-central limit theorem. Comm. Math. Phys. 140 (1991), no. 3, 589--615.
- Schürmann, Michael A class of representations of involutive bialgebras. Math. Proc. Cambridge Philos. Soc. 107 (1990), no. 1, 149--175.
- Schürmann, Michael Noncommutative stochastic processes with independent and stationary increments satisfy quantum stochastic differential equations. Probab. Theory Related Fields 84 (1990), no. 4, 473--490.
- Accardi, Luigi; Schürmann, Michael; von Waldenfels, Wilhelm Quantum independent increment processes on superalgebras. Math. Z. 198 (1988), no. 4, 451--477.