Dr. Clemens Bombach
Dr. Clemens Bombach
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Phone:+49 371 531-30269
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Email:
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Address:Reichenhainer Straße 31/33, 09126 Chemnitz
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Room:
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Office hours:By arrangement.
I'm a postdoctoral researcher at the professorship of Predictive Analytics, where I employ techniques of cognitive modeling and machine learning with the goal of predicting individual human behavior. Previously, I worked in mathematical control theory and inverse problems, with an emphasis on observability estimates.
Research interests
- cognitive modeling
- machine learning
- control theory
CV
- since 2025: scientific assistant, Predictive Analytics, TU Chemnitz
- 2024: PhD in Mathematics (Dr. rer. nat.)
- 2016 - 2025: scientific assistant, Analysis, TU Chemnitz
- 2009 - 2016: studies in mathematics, TU Chemnitz
Projects
- 2025 - 2027: DfG-Project "Systeme, Algorithmen und kognitive Modelle zur Vorhersage individueller menschlicher Schlussfolgerungsprozesse (PREDIR)"
Publications
- C. Bombach: Unique Determination of a singular potential from boundary data.[arXiv:2502.15319]
- C. Bombach, M. Tautenhahn: A Logvinenko-Sereda theorem for vector-valued functions and application to control theory, Z. Anal. Anwend. (Online first), 2025. [DOI: 10.4171/zaa/1794][arXiv:2401.09159]
- C. Bombach, D. Gallaun, C. Seifert, M.Tautenhahn: Observability and null-controllability for parabolic equations in Lp-spaces. Mathematical Control and Related Fields, 2023. [DOI: 10.3934/mcrf.2022046][arXiv:2005.14503]
- C. Bombach, F. Gabel, C. Seifert, M.Tautenhahn: Observability for non-autonomous systems. SIAM Journal on Control and Optimization, 61(1), 313-339, 2023. [DOI: 10.1137/22M1485139][arXiv:2203.08469]
Teaching (Selection)
Exercises for mathematics students and engineering/CS/physics/education students, including:
- SS 2025: Exercise "Analysis partieller Differentialgleichungen"
- WS 2025: Exercises "Analysis für das Lehramt, Höhere Mathematik III (MB)"
- SS 2024: Exercises "Analysis partieller Differentialgleichungen, Höhere Mathematik IV (Informatik, E-Technik, Physik)"
- WS 2024: Exercises "Funktionentheorie, Höhere Mathematik III (Informatik, E-Technik, Physik)"
