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Antoine Prouff
Department of Mathematics Purdue University 150 North University Street West Lafayette, IN 47907-2067, USA Email : Office : MATH 419, Mathematical Sciences Building Phone : (+1) 765-494-1905 |
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I am a Golomb Visiting Assitant Professor, mentored by Kiril Datchev.
In June 2024, I received a PhD in Mathematics from Université Paris-Saclay (Orsay), under the supervision of Matthieu Léautaud.
Research interests: Microlocal analysis, classical-quantum correspondence principle and applications to PDE control theory; branched optimal transport.
Papers and preprints
- Geometry of wave damping on the torus (with Kiril Datchev and Perry Kleinhenz)
submitted. - Egorov's theorem in the Weyl–Hörmander calculus
submitted. - Uniform stability of the damped wave equation with a confining potential in the Euclidean space
ESAIM: COCV, 31 (2025) 43. - Observability of the Schrödinger equation with subquadratic confining potential in the Euclidean space
Analysis & PDE 18-5 (2025), 1147--1229. - Stability of optimal traffic plans in the irrigation problem (with Maria Colombo, Antonio De Rosa, Andrea Marchese and Paul Pegon)
Discrete and Continuous Dynamical Systems, 2022, 42(4): 1647-1667.
Proceedings papers
- Smoothing effect and quantum-classical correspondence for the Schrödinger equation with confining potential
To appear in CJC-MA 2023 ESAIM:Proc&S.
PhD thesis
Quantum-classical correspondence principle and application to the control of wave and Schrödinger equations in the Euclidean space (advisor: Matthieu Léautaud; defense on June 11, 2024).
Talks
- PDE seminar, Université de Rennes, France (Jun. 2025)
- Analysis seminar, Northwestern University, USA (Jan. 2025)
- Spectral and scattering theory seminar, Purdue University, USA (Aug. 2024)
- Young Researchers Symposium 2024, Strasbourg, France (Jun. 2024)
- Itinerant Quantum Math Meetings, Università degli Studi di Milano, Italy (Apr. 2024)
- Analysis seminar (online), FernUniversität in Hagen, Germany (Oct. 2023)
- Meeting of the ANR "Adyct", Université Côte d'Azur, France (Sept. 2023)
- Congrès des Jeunes Chercheurs en Mathématiques et Applications, CentraleSupélec, France (Sept. 2023)
- Analysis seminar, Université de Nantes, France (Jun. 2023)
- Analysis PhD students' seminar, Orsay, France (Mar. 2023)
- AGAPI Day VII, Universidad Politécnica de Madrid, Spain (Mar. 2022)
Teaching Fall 2025
MA 26600 Ordinary Differential Equations- Schedule:
- Section 071: MWF 8:30–9:20 am, in PHYS 110
- Section 072: MWF 9:30–10:20 am, in PHYS 110
