Dr. Sebastian Boldt
Lehre / Teaching
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SS 2023: Seminar Nilpotente Lie-Gruppen (Schreiben Sie sich bei Interesse bitte in den zugehörigen Moodle-Kurs ein)
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SS 2023: Übungen zur Linearen Algebra für Informatiker
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WS 2022/23: Advanced Differential Geometry II - Spin Geometry (please subscribe to the moodle course)
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SS 2022: Vorlesung + Übung Mathematik 2 für Physiker (Informationen über Moodle)
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WS 2021/22: Tutorial Mathematik 1 für Physiker
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WS 2021/22: Riemannsche Flächen
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SS 2021: Tutorial Mathematik 4 for Physicists (see moodle course)
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WS 2020/21: Advanced Differential Geometry 2 - Spin Geometry
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SS 2020: Linear Algebra 2 (support via moodle)
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WS 2019/20: Tutorial Differential Geometry I.
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WS 2019/20: Lecture Hall Tutorial Lineare Algebra I
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SS 2019: Tutorial and Lecture Hall Tutorial Analysis II (Die erste Hörsaalübung findet am 4. April statt)
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WS 2018/19: Tutorial Lineare Algebra I
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WS 2018/19: Tutorial Differentialgeometrie I
Forschung / Research
- Reasearch Interests: Differential Geometry, Global and Geometric Analysis
- Publications:
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A Chern-Simons transgression formula for supersymmetric path integrals on spin manifolds. With Sergio Luigi Cacciatori and Batu Güneysu.
Preprint.
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Feynman-Kac formula for perturbations of order ≤1 and noncommutative geometry. With Batu Güneysu.
To appear in Stochastics and Partial Differential Equations: Analysis and Computations.
Published Version
Preprint
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Relatively compact sets of Heisenberg manifolds.
Differential Geometry and its Applications, Vol. 76 (2021).
https://doi.org/10.1016/j.difgeo.2021.101739
Preprint
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Scattering Theory and Spectral Stability under a Ricci Flow for Dirac Operators. With Batu Güneysu.
To appear in Ann. Fac. Sci. Toulouse, Math. (6).
Preprint
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Contributions to the spectral geometry of locally homogeneous spaces. With Dorothee Schüth.
Book chapter in Space - Time - Matter. Analytic and Geometric Structures. Brüning, J. (Ed.), Staudacher, M. (Ed.), Fiedler, B., et al. (2018). Berlin, Boston: De Gruyter.
http://dx.doi.org/10.1515/9783110452150
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The Height of compact nonsingular Heisenberg-like Nilmanifolds.
Dissertation (Berlin, October 2017)
http://dx.doi.org/10.18452/18924
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Properties of the Dirac spectrum on three dimensional lens spaces.
Osaka J. Math. 54, No. 4, 747-765 (2017).
https://projecteuclid.org/euclid.ojm/1508486578
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An explicit formula for the Dirac multiplicities on Lens spaces. With E. A. Lauret.
J. Geom. Anal. 27, No. 1, 689-725 (2017).
https://doi.org/10.1007/s12220-016-9695-x