-
Teaching
- Kolloquium: Colloquium on Applied Mathematics [108338]
(in cooperation with Jun.-Prof. Marlies Pirner, Dr. Stephan Rave, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis)
[ - | | wöchentlich | Mi. | M B 5 (M 5) | Jun.-Prof. Marlies Pirner] - Anleitung zum wissenschaftlichen Arbeiten: Privatissimum [108340]
(in cooperation with Jun.-Prof. Marlies Pirner, Prof. Dr. Christian Seis, Prof. Dr. Caterina Zeppieri, Prof. Dr. Mario Ohlberger, Prof. Dr. Hendrik Weber, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer)
[wöchentlich | Jun.-Prof. Marlies Pirner] - Übung: Tutorial Calculus of Variations [108359]
[ - | | wöchentlich | Do. | Jun.-Prof. Theresa Simon] - Oberseminar: Research Seminar on Applied Mathematics [108337]
(in cooperation with Jun.-Prof. Marlies Pirner, Dr. Stephan Rave, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis)
[ - | | wöchentlich | Mi. | Jun.-Prof. Marlies Pirner] - Vorlesung: Calculus of Variations [108358]
[ - | | wöchentlich | Di. | M B 5 (M 5) | Jun.-Prof. Theresa Simon]
[ - | | wöchentlich | Fr. | M B 5 (M 5) | Jun.-Prof. Theresa Simon] - Vorlesung: Einführung in das wissenschaftliche Arbeiten [108336]
(in cooperation with Jun.-Prof. Marlies Pirner, Prof. Dr. Christian Seis, Prof. Dr. Mario Ohlberger, Prof. Dr. Caterina Zeppieri, Prof. Dr. Hendrik Weber, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer)
- Kolloquium: Colloquium on Applied Mathematics [106336]
(in cooperation with Jun.-Prof. Marlies Pirner, Dr. Stephan Rave, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis)
[ - | | wöchentlich | Mi. | M B 5 (M 5) | Jun.-Prof. Marlies Pirner] - Anleitung zum wissenschaftlichen Arbeiten: Privatissimum [106345]
(in cooperation with Jun.-Prof. Marlies Pirner, Prof. Dr. Mario Ohlberger, Prof. Dr. Caterina Zeppieri, Prof. Dr. Christian Seis, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens)
[wöchentlich | Jun.-Prof. Marlies Pirner] - Übung: Tutorial Asymptotic methods of the calculus of variations [106970]
[ - | | wöchentlich | Mi. | Jun.-Prof. Theresa Simon] - Oberseminar: Research Seminar on Applied Mathematics [106337]
(in cooperation with Jun.-Prof. Marlies Pirner, Dr. Stephan Rave, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis)
[ - | | wöchentlich | Mi. | M B 5 (M 5) | Jun.-Prof. Marlies Pirner] - Vorlesung: Einführung in das wissenschaftliche Arbeiten [106338]
(in cooperation with Jun.-Prof. Marlies Pirner, Prof. Dr. Caterina Zeppieri, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens) - Vorlesung: Asymptotic methods of the calculus of variations: An introduction to gamma convergence [105969]
[ - | | wöchentlich | Mo. | SRZ 203 | Jun.-Prof. Theresa Simon]
[ - | | wöchentlich | Fr. | SRZ 203 | Jun.-Prof. Theresa Simon]
- Kolloquium: Colloquium on Applied Mathematics [104476]
(in cooperation with Jun.-Prof. Marlies Pirner, Dr. Stephan Rave, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis) - Anleitung zum wissenschaftlichen Arbeiten: Privatissimum [104479]
(in cooperation with Jun.-Prof. Marlies Pirner, Prof. Dr. Christian Seis, Prof. Dr. Caterina Zeppieri, Prof. Dr. Mario Ohlberger, Prof. Dr. Hendrik Weber, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer) - Oberseminar: Research Seminar on Applied Mathematics [104477]
(in cooperation with Jun.-Prof. Marlies Pirner, Dr. Stephan Rave, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis) - Seminar: Partial Differential Equations in Fluid Dynamics [104473]
- Vorlesung: Einführung in das wissenschaftliche Arbeiten [104478]
(in cooperation with Jun.-Prof. Marlies Pirner, Prof. Dr. Christian Seis, Prof. Dr. Mario Ohlberger, Prof. Dr. Caterina Zeppieri, Prof. Dr. Hendrik Weber, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer)
- Kolloquium: Colloquium on Applied Mathematics [102392]
(in cooperation with Jun.-Prof. Marlies Pirner, Dr. Stephan Rave, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis) - Anleitung zum wissenschaftlichen Arbeiten: Privatissimum [102397]
(in cooperation with Jun.-Prof. Marlies Pirner, Prof. Dr. Mario Ohlberger, Prof. Dr. Caterina Zeppieri, Prof. Dr. Christian Seis, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens) - Oberseminar: Research Seminar on Applied Mathematics [102393]
(in cooperation with Jun.-Prof. Marlies Pirner, Dr. Stephan Rave, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis) - Seminar: Masterseminar: Direct Methods in the Calculus of Variations [102372]
- Vorlesung: Einführung in das wissenschaftliche Arbeiten [102394]
(in cooperation with Jun.-Prof. Marlies Pirner, Prof. Dr. Caterina Zeppieri, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens)
- Kolloquium: Colloquium on Applied Mathematics [100393]
(in cooperation with Jun.-Prof. Marlies Pirner, Dr. Stephan Rave, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis) - Anleitung zum wissenschaftlichen Arbeiten: Privatissimum [100395]
(in cooperation with Jun.-Prof. Marlies Pirner, Prof. Dr. Christian Seis, Prof. Dr. Caterina Zeppieri, Prof. Dr. Mario Ohlberger, Prof. Dr. Hendrik Weber, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer) - Übung: Tutorial Calculus of Variations [100389]
(in cooperation with Chun Lam) - Oberseminar: Research Seminar on Applied Mathematics [100394]
(in cooperation with Jun.-Prof. Marlies Pirner, Dr. Stephan Rave, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. Hendrik Weber, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis) - Seminar: Bsc/Msc Seminar: Variational modelling in Materials Science [100391]
(in cooperation with Prof. Dr. Caterina Zeppieri) - Vorlesung: Calculus of Variations [100390]
(in cooperation with Chun Lam)
- Seminar: Bsc/Msc Seminar: Differential Inclusions: Rigidity vs. Flexibility [108372]
(in cooperation with Prof. Dr. Caterina Zeppieri)
- Kolloquium: Colloquium on Applied Mathematics [106338]
(in cooperation with Dr. Stephan Rave, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens) - Anleitung zum wissenschaftlichen Arbeiten: Privatissimum [106336]
(in cooperation with Dr. Stephan Rave, Prof. Dr. Christian Seis, Prof. Dr. Caterina Zeppieri, Prof. Dr. Mario Ohlberger, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer) - Übung: Tutorial Micromagnetics - An introduction to asymptotic methods in the calculus of variations [106381]
- Oberseminar: Research Seminar on Applied Mathematics [106339]
(in cooperation with Dr. Stephan Rave, Prof. Dr. Caterina Zeppieri, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer) - Vorlesung: Micromagnetics - An introduction to asymptotic methods in the calculus of variations [106380]
- Vorlesung: Einführung in das wissenschaftliche Arbeiten [106337]
(in cooperation with Prof. Dr. Christian Seis, Prof. Dr. Mario Ohlberger, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer)
- Kolloquium: Colloquium on Applied Mathematics [108338]
Publications
- . . ‘Magnetic skyrmions under confinement.’ Communications in Mathematical Physics 404: 1571–2023. doi: 10.1007/s00220-023-04864-w.
- . . ‘On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation.’ Journal of Elasticity 153: 455–475. doi: 10.1007/s10659-023-10011-2.
- ‘Theory of magnetic field-stabilized compact skyrmions in thin film ferromagnets.’ Physical Review B 2023: L161405. doi: 10.1103/PhysRevB.108.L161405. .
- . . Local minimizers of the interface length functional based on a concept of local paired calibrations arXiv. doi: 10.48550/arXiv.2212.11840. [submitted / under review]
- Correction to: A Nonlocal Isoperimetric Problem with Dipolar Repulsion. doi: 10.1007/s00220-022-04426-6. .
- . . ‘Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures.’ SIAM Journal on Mathematical Analysis 53, No. 4. doi: 10.1137/18M1220017.
- . . ‘Rigidity of branching microstructures in shape memory alloys.’ Archive for Rational Mechanics and Analysis 241: 1707–1783. doi: 10.1007/s00205-021-01679-8.
- . . ‘A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree ±1 harmonic maps from from R² to S².’ Archive for Rational Mechanics and Analysis 239: 219–299. doi: 10.1007/s00205-020-01575-7.
- . . ‘Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies.’ SIAM Journal on Mathematical Analysis 52, No. 6. doi: 10.1137/20M1322182.
- . . ‘Unraveling the role of dipolar vs. Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions.’ Physical Review B 101, No. 4: 045416. doi: 10.1103/PhysRevB.101.045416.
- . . ‘A nonlocal isoperimetric problem with dipolar repulsion.’ Communications in Mathematical Physics 372: 1059–1115. doi: 10.1007/s00220-019-03455-y.
- . . Materials Science-inspired problems in the Calculus of Variations: Rigidity of shape memory alloys and multi-phase mean curvature flow Dissertation thesis, Universität Leipzig. Leipzig: Selbstverlag / Eigenverlag.
- . . ‘Convergence of the Allen-Cahn equation to multi-phase mean curvature flow.’ Communications on Pure and Applied Mathematics 71, No. 8: 1597–1647. doi: 10.1002/cpa.21747.
- . . ‘Maximum palinstrophy amplification in the two-dimensional Navier-Stokes equations.’ Journal of Fluid Mechanics 837: 839–857. doi: 10.1017/jfm.2017.874.