Dr. Lucrezia Cossetti
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by appointment
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Kollegiengebäude Mathematik (20.30)
2.037
+49 721 608 47860
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lucrezia.cossetti@kit.edu
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Karlsruhe Institute of Technology
Department of Mathematics
Institute for Analysis
Englerstraße 2
76131 Karlsruhe
Welcome to my web page at KIT .
Since January 2019 I have been working as a Postdoctoral Researcher at KIT within the Collaborative Research Center 1173 "Wave Phenomena: Analysis and Numerics".
My research is concerned both with the investigation of characterizing features connected with dispersive partial differential equations and the mathematical rigorous study of spectral properties of self-adjoint and non-self-adjoint Hamiltonians of quantum mechanics.
More information can be found on my personal web page.
Short CV
- December 2017. PhD degree in Mathematics at Sapienza University of Rome, Italy
- January 2018-March 2018. Visiting Fellow at BCAM-Basque Center for Applied Mathematics, Bilbao, Spain
- May 2018-June 2018. Postdoctoral Research Fellow at Laboratoire de Mathématiques J.A. Dieudonné, Université Côte D'Azur, Nice, France
- July 2018-December 2018. Postdoctoral Research Fellow at Faculty of Nuclear Sciences and Physical Engineering, Prague, Czech Republic
- Since January 2019. Postdoctoral Research Fellow at Department of Mathematics, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
Preprints (3)
- L. Cossetti, L. Fanelli and D. Krejcirik. Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers. Preprint December 2019. Submitted for publication
- L. Cossetti. On the unique continuation property of solutions to the two-dimensional Zakharov-Kuznetsov equation. Preprint July 2019. Submitted for publication
- L. Cossetti. Bounds on eigenvalues for perturbed Lamé operators with complex potentials. Preprint May 2019. Submitted for publication
Articles in Journal (3)
- L. Cossetti and D. Krejcirik. Absence of eigenvalues of non-self-adjoint Robin Laplacians on half-space. Proc. Lond. Math. Soc. (to appear)
- L. Cossetti, L. Fanelli and F. Linares. Uniqueness results for Zakharov-Kuznetsov equations. Comm. Partial Differential Equations 44 (2019), 504-544
- L. Cossetti. Uniform resolvent estimates and absence of eigenvalues for Lamé operator with complex potentials. J. Math. Anal. Appl. 455 (2017), 336-360
Recent talks and seminars
- January 2020, LMU, Munich, Germany (seminar talk)
- December 2019, University of Vienna, Vienna, Germany (seminar talk)
- November 2019, University of Bonn, Bonn, Germany (seminar talk)
- October 2019, "Asymptotic Analysis & Spectra Theory", Orsay, France (Invited speaker)
- September 2019, Minisymposium Analysis of Wave Propagation, "DMV Jahrestagung", Karlsruhe, Germany (Invited speaker)
- September 2019, "OMG Conference 2019", Dornbirn, Austria (Invited speaker)
- July 2019, "Tulkka in Karlsruhe", Karlsruhe Institute of Technology, Karlsruhe, Germany (Seminar talk)
- June 2019, "Second International Conference on Applications of Mathematics to Nonlinear Sciences (AMNS-2019)", Pokhara, Nepal (Invited speaker)
- June 2019, "Nonlinear Dispersive Waves, Solitons and Related Topics", Institut Mittag-Leffler, Djursholm, Sweden (Invited speaker)
- May 2019, University of Cambridge, Cambridge, UK (Seminar talk)
- May 2019, Karlsruhe Institute of Technology, Karlsruhe, Germany (Seminar talk)
- March 2019, "PT-Symmetry and Physics with Non-Hermitian Hamiltonian", Sanya, China (Invited Speaker)
- February 2019, "Nonlinear Waves and Hamiltonian PDE's", La Thuile, Italy (Invited speaker)
Upcoming events
- 4-6 February 2020, "Special Functions and Semi-Classical Approximation", Marseille, France
- 23-27 March 2020, "Mathematical aspects of the physics with non-self-adjoint operators: 10 years later", Marseille, France
- 30 March-3 April 2020, "CRC's annual meeting", Bad Herrenalb, Germany
- 2-4 June 2020, "3rd Bilbao meeting on Analysis and PDEs", Bilbao, Spain
- 22-26 June 2020, "On nonlinear PDEs: from physical to abstract framework", Institut Mittag-Leffler, Djursholm, Sweden
| Semester | Titel | Typ |
|---|---|---|
| Winter Semester 2022/23 | Ringvorlesung Wavephenomena | Lecture |
| Summer Semester 2020 | Hilbert space methods | Seminar |