M.Sc. Lukas Sawatzki
Philipps-University
Faculty of Mathematics and Computer Science
Workgroup Numerics and Optimization
Hans-Meerwein-Strasse
Lahnberge
35032 Marburg, Germany
| Office: |
Level D6 - 11 (06D11) |
| Phone: |
+49 (0) 6421/28-25448 |
| Fax: |
+49 (0) 6421/28-26945 |
| E-mail: |
sawatzkl@mathematik (.uni-marburg.de) |
Area of research:
- Working title of the dissertation: Structure properties of Shearlet Coorbit Spaces
- Fields of interest: Numerical analysis, applied harmonic analysis, applied functional analysis
- Master-Thesis: Whitney-Ungleichungen für lokale anistrope Polynomapproximation (Whitney-inequalities for local anisotropic polynomial approximation), 2016,
written at the Faculty of Mathematics and Computer Science, advisor: Prof. Dr. Stephan Dahlke
- Bachelor-Thesis: Das Jacobi-Umkehrproblem (The Jacobi inverse problem), 2014,
written at the Faculty of Mathematics and Computer Science, advisor: Prof. Dr. Georg Schumacher
Publications and preprints:
-
Inhomogeneous Shearlet Coorbit Spaces (F. Feise, L. Sawatzki), 2017 (pdf/arXiv), accepted at IJWMIP (International Journal of Wavelets, Multiresolution and Information Processing)
- On the Atomic Decomposition of Coorbit Spaces with Non-Integrable Kernel (S. Dahlke, F. De Mari, E. De Vito, L. Sawatzki, G. Steidl, G. Teschke, F. Voigtlaender), 2018 (arXiv). This is a preprint of a contribution published in Landscapes of Time-Frequency Analysis published by Springer. The final authenticated version is available online at: https://doi.org/10.1007/978-3-030-05210-2
Current Courses:
Past Courses:
Supervised theses:
- Vergleich verschiedener Shearlet-Verfahren zur Kantenerkennung,
Master thesis by Marcus Meyer (2018),
Philipps-University Marburg, Prof. Dr. Stephan Dahlke
- Orthogonalitätskriterien für kompakt getragene Skalierungsfunktionen (Orthogonlatity Criteria for Compactly Supported Scaling Functions),
Bachelor thesis by Anne Kopsch (2017),
Philipps-University Marburg, Prof. Dr. Stephan Dahlke
- Zur Konstruktion kompakt getragener Spline Wavelets (On the Construction of Compactly Supported Spline Wavelets),
Bachelor thesis by Carolin Umathum (2017),
Philipps-University Marburg, Prof. Dr. Stephan Dahlke
- Interpolierende verfeinerbare Funktionen für allegmeine Skalierungsmatrizen (Interpolating Refinable functions for General Scaling Matrices),
Bachelor thesis by Muyi Li (2017),
Philipps-University Marburg, Prof. Dr. Stephan Dahlke
Workshops/Conferences/Summer-Schools attended:
- 2019/06: Aspects of Time Frequency Analysis, Turin, Italy
- 2019/06: 33. Rhein-Main Arbeitskreis, Mainz, Germany
- 2019/02: 32. Rhein-Main Arbeitkreis, Siegen, Germany
- 2018/07: 31. Rhein-Main Arbeitskreis, Darmstadt, Germany
- 2018/06: Strobl18, Strobl, Austria
- 2018/03: GAMM2018, Munich, Germany
- 2018/02: 28. Rhein-Ruhr-Workshop, Bestwig, Germany
- 2017/09: New Perspectives in the Theory of Function Spaces and their Applications, Bendlewo, Poland
- 2017/07: Summer-School on Applied Harmonic Analysis, Genoa, Italy
- 2017/06: Aspects of Time Frequency Analysis, Torino, Italy
- 2017/01: 28. Rhein-Main Arbeitskreis, Marburg, Germany
- 2017/01: 27. Rhein-Ruhr-Workshop, Bestwig, Germany
Organization of Workshops/Conferences:
Presented Talks and Posters:
- 2019/06: Talk given at the conference Aspects of Time Frequency Analysis
- 2019/02: Talk given at the Rhein-Main Arbeitskreis
- 2018/06: Poster presented at the conference Strobl18
- 2018/03: Talk given at the conference GAMM2018
- 2018/02: Talk given at the Rhein-Ruhr-Workshop
- 2017/09: Talk given at the conference New Perspectives in the Theory of Funtion Spaces and their Applications
- 2017/07: Talk given at the Summer-School on Applied Harmonic Analysis
- 2017/07: Poster presented at the founding symposium of the MCMBB
- 2017/06: Poster presented at the conference Aspects of Time Frequency Analysis
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