... umfassen alles, was mit Mathematik und ihren vielfältigen Anwendungsmöglichkeiten in den Natur-, Ingenieur- und Wirtschaftswissenschaften verbunden ist.
I enjoy applying mathematics to real-world problems arising from practical domains such as electrical engineering, automation, finance and markets, as well as economics more broadly.
One of the most fulfilling aspects of my work is inspiring students and others to develop a genuine passion for the interplay between mathematics and physics.
Geometric supersymmetry explores the deep and subtle connections between differential geometry and supersymmetry. Within this framework, representation theory and spin geometry emerge as fundamental mathematical pillars, shaping the structure and understanding of supersymmetric theories.
I am particularly interested in the rich interplay between (pseudo)-Riemannian geometry, geometric analysis, and combinatorics, as well as in structures arising in geometric algebras, supermanifold theory, and their roles in modern theoretical physics – including Yang-Mills theory, supergravity, string theory, and deformation quantization
... bestehen mit Personen aus Industrie und Wirtschaft, dem Dienstleistungssektor sowie dem Bildungsbereich (Schulen und Hochschulen).
ThyssenKrupp Rothe Erde GmbH, Dortmund
(Geometric analysis of AC circuits)
Schniewindt GmbH & Co. KG, Neuenrade
(Geometric analysis of AC circuits)
Marie-Curie-Gymnasium Bönen
(Approximation of water rocket dynamics,
Geometric and analytic aspects of touching curves)
Eduard-Spranger-Berufskolleg Hamm
(Mathematics formulary with applications)
Kranz Software Engineering, Dortmund
(Applied data smoothing)
Eduard-Spranger-Berufskolleg Hamm
(Introductory number theory)
Franz Högemann GmbH, Garrel
(Optimization of production processes)
Georgius-Agricola-Gymnasium Chemnitz
(Introductory number theor)
Pohlschröder Property Consulting, Dortmund
(Calculation and optimization of trend signals)
ehem. Deutsche Telekom AG, Dortmund
(Applied algebraic problems, Geometric analysis of AC circuits)
Regionalfiliale Dortmund
(Static calculations in warehouse logistics)
Technische Universität Dortmund
(Applied data smoothing)
Berufskolleg Mitte der Stadt Essen
(Mathematics formulary with applications)
(Elementary Cartography)
Textbook, (German) - in progress
Joint work with T. Günther
Joint work with C. Reineke
Properties of small eigenvalues of Dirac operators on quaternionic Kähler manifolds and their eigenspaces