Teaching
- Lecture: Einführung in das wissenschaftliche Arbeiten [102366]
(in cooperation with Marlies Pirner, Caterina Zeppieri, Mario Ohlberger, Christian Seis, Frank Wübbeling, Hendrik Weber, Benedikt Wirth, , Christian Engwer and Angela Stevens) - Seminar: Masterseminar Nonlocal isoperimetric problems [102340]
- [Wed, – | | SRZ 203]
- Advanced seminar: Oberseminar Angewandte Mathematik [102364]
(in cooperation with Marlies Pirner, Stephan Rave, Mario Ohlberger, Caterina Zeppieri, Christian Seis, Frank Wübbeling, Hendrik Weber, Benedikt Wirth, , Christian Engwer and Angela Stevens)- [ – | Wed, – | ]
- Introduction to academic work: Privatissimum [102368]
(in cooperation with Marlies Pirner, Mario Ohlberger, Caterina Zeppieri, Christian Seis, Frank Wübbeling, Hendrik Weber, Linus Kramer, Benedikt Wirth, , Christian Engwer and Angela Stevens)- []
- Colloquium: Kolloquium zur Angewandten Mathematik [102365]
(in cooperation with Marlies Pirner, Stephan Rave, Mario Ohlberger, Caterina Zeppieri, Christian Seis, Frank Wübbeling, Hendrik Weber, Benedikt Wirth, , Christian Engwer and Angela Stevens)- [ – | Wed, – | | M B 5 (M 5)]
- Lecture: Introduction to Geometric Measure Theory [100352]
(in cooperation with ) - Lecture: Einführung in das wissenschaftliche Arbeiten [100337]
(in cooperation with Marlies Pirner, Caterina Zeppieri, Mario Ohlberger, Christian Seis, Frank Wübbeling, Hendrik Weber, Benedikt Wirth, , Christian Engwer and Angela Stevens) - Advanced seminar: Oberseminar Angewandte Mathematik [100340]
(in cooperation with Marlies Pirner, Stephan Rave, Mario Ohlberger, Caterina Zeppieri, Christian Seis, Frank Wübbeling, Hendrik Weber, Benedikt Wirth, , Christian Engwer and Angela Stevens) - Practice: Exercises Introduction to Geometric Measure Theory [100353]
(in cooperation with ) - Introduction to academic work: Privatissimum [100341]
(in cooperation with Marlies Pirner, Mario Ohlberger, Caterina Zeppieri, Christian Seis, Frank Wübbeling, Hendrik Weber, Benedikt Wirth, , Christian Engwer and Angela Stevens) - Colloquium: Kolloquium zur Angewandten Mathematik [100336]
(in cooperation with Marlies Pirner, Stephan Rave, Mario Ohlberger, Caterina Zeppieri, Christian Seis, Frank Wübbeling, Hendrik Weber, Benedikt Wirth, , Christian Engwer and Angela Stevens)
- Lecture: Variationsrechnung / Calculus of Variations [108358]
- Lecture: Einführung in das wissenschaftliche Arbeiten [108336]
(in cooperation with Marlies Pirner, Christian Seis, Mario Ohlberger, Caterina Zeppieri, Hendrik Weber, Frank Wübbeling, André Schlichting, Benedikt Wirth, , Angela Stevens and Christian Engwer) - Advanced seminar: Oberseminar Angewandte Mathematik [108337]
(in cooperation with Marlies Pirner, Stephan Rave, Caterina Zeppieri, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Angela Stevens, Christian Engwer, Mario Ohlberger and Christian Seis) - Practice: Übungen zur Variationsrechnung [108359]
- Introduction to academic work: Privatissimum [108340]
(in cooperation with Marlies Pirner, Christian Seis, Caterina Zeppieri, Mario Ohlberger, Hendrik Weber, Frank Wübbeling, André Schlichting, Benedikt Wirth, , Angela Stevens and Christian Engwer) - Colloquium: Kolloquium zur Angewandten Mathematik [108338]
(in cooperation with Marlies Pirner, Stephan Rave, Caterina Zeppieri, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Christian Engwer, Angela Stevens, Mario Ohlberger and Christian Seis)
- Lecture: Asymptotische Methoden der Variationsrechnung: Eine Einführung in die Gamma-Konvergenz [105969]
- Lecture: Einführung in das wissenschaftliche Arbeiten [106338]
(in cooperation with Marlies Pirner, Caterina Zeppieri, Mario Ohlberger, Christian Seis, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Christian Engwer and Angela Stevens) - Advanced seminar: Oberseminar Angewandte Mathematik [106337]
(in cooperation with Marlies Pirner, Stephan Rave, Caterina Zeppieri, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Christian Engwer, Angela Stevens, Mario Ohlberger and Christian Seis) - Practice: Übungen zu Asymptotische Methoden in der Variationsrechnung [106970]
- Introduction to academic work: Privatissimum [106345]
(in cooperation with Marlies Pirner, Mario Ohlberger, Caterina Zeppieri, Christian Seis, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Christian Engwer and Angela Stevens) - Colloquium: Kolloquium zur Angewandten Mathematik [106336]
(in cooperation with Marlies Pirner, Stephan Rave, Caterina Zeppieri, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Christian Engwer, Angela Stevens, Mario Ohlberger and Christian Seis)
- Lecture: Einführung in das wissenschaftliche Arbeiten [104478]
(in cooperation with Marlies Pirner, Christian Seis, Mario Ohlberger, Caterina Zeppieri, Hendrik Weber, Frank Wübbeling, André Schlichting, Benedikt Wirth, , Angela Stevens and Christian Engwer) - Seminar: Masterseminar: Direct Methods in the Calculus of Variations [104473]
- Advanced seminar: Oberseminar Angewandte Mathematik [104477]
(in cooperation with Marlies Pirner, Stephan Rave, Caterina Zeppieri, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Angela Stevens, Christian Engwer, Mario Ohlberger and Christian Seis) - Introduction to academic work: Privatissimum [104479]
(in cooperation with Marlies Pirner, Christian Seis, Caterina Zeppieri, Mario Ohlberger, Hendrik Weber, Frank Wübbeling, André Schlichting, Benedikt Wirth, , Angela Stevens and Christian Engwer) - Colloquium: Kolloquium zur Angewandten Mathematik [104476]
(in cooperation with Marlies Pirner, Stephan Rave, Caterina Zeppieri, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Christian Engwer, Angela Stevens, Mario Ohlberger and Christian Seis)
- Lecture: Einführung in das wissenschaftliche Arbeiten [102394]
(in cooperation with Marlies Pirner, Caterina Zeppieri, Mario Ohlberger, Christian Seis, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Christian Engwer and Angela Stevens) - Seminar: Masterseminar: Direct Methods in the Calculus of Variations [102372]
- Advanced seminar: Oberseminar Angewandte Mathematik [102393]
(in cooperation with Marlies Pirner, Stephan Rave, Caterina Zeppieri, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Christian Engwer, Angela Stevens, Mario Ohlberger and Christian Seis) - Introduction to academic work: Privatissimum [102397]
(in cooperation with Marlies Pirner, Mario Ohlberger, Caterina Zeppieri, Christian Seis, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Christian Engwer and Angela Stevens) - Colloquium: Kolloquium zur Angewandten Mathematik [102392]
(in cooperation with Marlies Pirner, Stephan Rave, Caterina Zeppieri, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Christian Engwer, Angela Stevens, Mario Ohlberger and Christian Seis)
- Lecture: Variationsrechnung / Calculus of Variations [100390]
(in cooperation with Chun Lam) - Seminar: Bsc/Msc Seminar Tba [100391]
(in cooperation with Caterina Zeppieri) - Advanced seminar: Oberseminar Angewandte Mathematik [100394]
(in cooperation with Marlies Pirner, Stephan Rave, Caterina Zeppieri, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Angela Stevens, Christian Engwer, Mario Ohlberger and Christian Seis) - Practice: Übungen zur Variationsrechnung [100389]
(in cooperation with Chun Lam) - Introduction to academic work: Privatissimum [100395]
(in cooperation with Marlies Pirner, Christian Seis, Caterina Zeppieri, Mario Ohlberger, Hendrik Weber, Frank Wübbeling, André Schlichting, Benedikt Wirth, , Angela Stevens and Christian Engwer) - Colloquium: Kolloquium zur Angewandten Mathematik [100393]
(in cooperation with Marlies Pirner, Stephan Rave, Caterina Zeppieri, Frank Wübbeling, Hendrik Weber, André Schlichting, Benedikt Wirth, , Christian Engwer, Angela Stevens, Mario Ohlberger and Christian Seis)
- Seminar: Bsc/Msc Seminar: Differential Inclusions: Rigidity vs. Flexibility [108372]
(in cooperation with Caterina Zeppieri)
- Lecture: Micromagnetics - An introduction to asymptotic methods in the calculus of variations [106380]
- Lecture: Einführung in das wissenschaftliche Arbeiten [106337]
(in cooperation with Christian Seis, Mario Ohlberger, Caterina Zeppieri, Frank Wübbeling, André Schlichting, Benedikt Wirth, , Angela Stevens and Christian Engwer) - Advanced seminar: Oberseminar Angewandte Mathematik [106339]
(in cooperation with Stephan Rave, Caterina Zeppieri, Mario Ohlberger, Christian Seis, Frank Wübbeling, André Schlichting, Benedikt Wirth, , Angela Stevens and Christian Engwer) - Practice: Übungen zu Micromagnetics - An introduction to asymptotic methods in the calculus of variations [106381]
- Introduction to academic work: Privatissimum [106336]
(in cooperation with Stephan Rave, Christian Seis, Caterina Zeppieri, Mario Ohlberger, Frank Wübbeling, André Schlichting, Benedikt Wirth, , Angela Stevens and Christian Engwer) - Colloquium: Kolloquium zur Angewandten Mathematik [106338]
(in cooperation with Stephan Rave, Mario Ohlberger, Christian Seis, Caterina Zeppieri, Frank Wübbeling, André Schlichting, Benedikt Wirth, , Christian Engwer and Angela Stevens)
- Lecture: Einführung in das wissenschaftliche Arbeiten [102366]
Publications
Selection
- Monteil, A, Muratov, C.B., Simon, T.M., and Slastikov, V.V. . “Magnetic skyrmions under confinement.” Preprint. Communications in Mathematical Physics 404: 1571–1605. doi: 10.1007/s00220-023-04864-w.
- Rüland, A., and Simon, T.M. . “On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation.” Preprint. Journal of Elasticity 153: 455–475. doi: 10.1007/s10659-023-10011-2.
- Bernand-Mantel, A., Fondet, A, Barnova, S., Simon, T.M., and C.B., Muratov. . “Theory of magnetic field-stabilized compact skyrmions in thin film ferromagnets.” Physical Review B 2023 L161405. doi: 10.1103/PhysRevB.108.L161405.
- Simon, T.M. . “Rigidity of branching microstructures in shape memory alloys.” Archive for Rational Mechanics and Analysis 241: 1707–1783. doi: 10.1007/s00205-021-01679-8.
- Bernand-Mantel, A., Muratov, C.B., and Simon, T.M. . “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.
- Fischer, J., Laux, T., and Simon, T.M. . “Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies.” SIAM Journal on Mathematical Analysis 52 (6): 6222–6233. doi: 10.1137/20M1322182.
- Bernand-Mantel, A., Muratov, C.B., and Simon, T.M. . “Unraveling the role of dipolar vs. Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions.” Physical Review B 101 (4) 045416. doi: 10.1103/PhysRevB.101.045416.
- Muratov, C.B., and Simon, T.M. . “A nonlocal isoperimetric problem with dipolar repulsion.” Communications in Mathematical Physics 372: 1059–1115. doi: 10.1007/s00220-019-03455-y.
- Laux, T, and Simon, T.M. . “Convergence of the Allen-Cahn equation to multi-phase mean curvature flow.” Communications on Pure and Applied Mathematics 71 (8): 1597–1647. doi: 10.1002/cpa.21747.
Complete List
- Fischer, J, Hensel, S, Laux, T, and Simon, T.M. . “A weak-strong uniqueness principle for the Mullins-Sekerka equation.” Preprint. arXiv doi: 10.48550/arXiv.2404.02682.
- Muratov, C.B., Simon, T.M., and Slastikov, V.V. . “Existence of higher degree minimizers in the magnetic skyrmion problem.” Preprint. arXiv doi: 10.48550/arXiv.2409.07205.
- Monteil, A, Muratov, C.B., Simon, T.M., and Slastikov, V.V. . “Magnetic skyrmions under confinement.” Preprint. Communications in Mathematical Physics 404: 1571–1605. doi: 10.1007/s00220-023-04864-w.
- Rüland, A., and Simon, T.M. . “On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation.” Preprint. Journal of Elasticity 153: 455–475. doi: 10.1007/s10659-023-10011-2.
- Bernand-Mantel, A., Fondet, A, Barnova, S., Simon, T.M., and C.B., Muratov. . “Theory of magnetic field-stabilized compact skyrmions in thin film ferromagnets.” Physical Review B 2023 L161405. doi: 10.1103/PhysRevB.108.L161405.
- Fischer, J, Hensel, S, Laux, T, and Simon, T.M. . “Local minimizers of the interface length functional based on a concept of local paired calibrations.” Preprint. arXiv doi: 10.48550/arXiv.2212.11840.
- Muratov, C.B., and Simon, T.M. . Correction to: A Nonlocal Isoperimetric Problem with Dipolar Repulsion doi: 10.1007/s00220-022-04426-6.
- Simon, T.M. . “Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures.” SIAM Journal on Mathematical Analysis 53 (4). doi: 10.1137/18M1220017.
- Simon, T.M. . “Rigidity of branching microstructures in shape memory alloys.” Archive for Rational Mechanics and Analysis 241: 1707–1783. doi: 10.1007/s00205-021-01679-8.
- Bernand-Mantel, A., Muratov, C.B., and Simon, T.M. . “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.
- Fischer, J., Laux, T., and Simon, T.M. . “Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies.” SIAM Journal on Mathematical Analysis 52 (6): 6222–6233. doi: 10.1137/20M1322182.
- Bernand-Mantel, A., Muratov, C.B., and Simon, T.M. . “Unraveling the role of dipolar vs. Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions.” Physical Review B 101 (4) 045416. doi: 10.1103/PhysRevB.101.045416.
- Muratov, C.B., and Simon, T.M. . “A nonlocal isoperimetric problem with dipolar repulsion.” Communications in Mathematical Physics 372: 1059–1115. doi: 10.1007/s00220-019-03455-y.
- Simon, T.M. . “Materials Science-inspired problems in the Calculus of Variations: Rigidity of shape memory alloys and multi-phase mean curvature flow.” Dissertation thesis, Universität Leipzig.
- Laux, T, and Simon, T.M. . “Convergence of the Allen-Cahn equation to multi-phase mean curvature flow.” Communications on Pure and Applied Mathematics 71 (8): 1597–1647. doi: 10.1002/cpa.21747.
- Ayala, D, Doering, C.R., and Simon, T.M. . “Maximum palinstrophy amplification in the two-dimensional Navier-Stokes equations.” Journal of Fluid Mechanics 837: 839–857. doi: 10.1017/jfm.2017.874.
JunProf.Dr. Theresa Simon
