Roman Vanlaere

Office: IMUS, Despacho 6, Av. de la Reina Mercedes, s/n. Edificio Celestino Mutis - CITUS II. Sevilla, Sevilla 41012, ES

I am currently post-doctoral researcher at Universidad de Sevilla in the Department of Differential Equations and Numerical Analysis, under the supervision of Diego A. Souza.

Prior to that, I was an ATER at CEREMADE, University Paris-Dauphine PSL from october 2025 to april 2026. From 2022 to 2025, I was a PhD student at CEREMADE, University Paris-Dauphine PSL, under the supervision of Pierre Lissy and Dario Prandi. I defended my PhD thesis the 5th of December 2025.

The manuscript of my PhD thesis is here, and the slides are here (in french).
My CV is here (08/2026).

My research field is control theory. My interests lie in the analysis and control of partial differential equations, especially those that are hard, or in some cases impossible, to control. Among them are those associated with subelliptic operators.

I am currently working on the following: control of subelliptic heat equations on the n-dimensional sphere - control of evolution equations with memory - Landis conjecture.

Preprints

[3] Observability properties of the singular Grushin equation, 2025, Roman Vanlaere, Preprint (arxiv, hal), In revision at Advances in Differential Equations.

[2] Spectral asymptotics for a class of singular Sturm–Liouville operators with applications to magnetic Laplacian and a-zeros of Kummer functions, 2025, Roman Vanlaere, Preprint (arxiv, hal, published), Accepted at Journal of Differential Equations. (Former title: Low-lying eigenvalues in the semiclassical limit of a Schrödinger operator with an inverse square potential, and non-asymptotic a-zeros of Kummer functions)

[1] Non Null-Controllability Properties of the Grushin-Like Heat Equation on 2D-Manifolds, 2025, Roman Vanlaere, Preprint (arxiv, hal), Accepted at COCV.

Talks

September 2025 - Null-controllability properties of the singular Grushin equation, Workshop on PDEs and Control 2025, Institute of Mathematics of the University of Seville, Spain (30 min)
June 2025 - On the controllability of sub-elliptic systems of Grushin type, Young Researchers Seminar, University Paris Dauphine–PSL, Paris (Invited, 45 min)
June 2025 - On the controllability of sub-elliptic systems of Grushin type, SMAI Biennale 2025, Bordeaux (Invited, 30 min)
May 2024 - On the Non Null-Controllability Properties of the Grushin-Like Heat Equation on 2D Manifolds, CANUM – 46th International Congress of Numerical Analysis, Île de Ré (30 min)

Teaching

2025–2026 - Lecturer and Teaching Assistant, Paris Dauphine–PSL University (MIDO), Paris

Analysis 1 (Foundations of real analysis), First Year Undergraduate (L1)

2024–2025 - Teaching Assistant, Paris Dauphine–PSL University (MIDO), Paris

Analysis 4 MIDO (Differential calculus), Second Year Undergraduate (L2)

2023–2024 - Teaching Assistant (MIDO), Paris Dauphine–PSL University (MIDO), Paris

Analysis 4 (Metric topology, Normed vector spaces), Second Year Undergraduate (L2)

2022–2023 - Teaching Assistant (MIDO), Paris Dauphine–PSL University (MIDO), Paris

Analysis 4 (Metric topology, Normed vector spaces), Second Year Undergraduate (L2)

Organization of seminars

08/2024 - Partial differential equations, optimal design and numerics, Centro de Ciencias de Benasque Pedro Pascual, Spain. Organization with Lucas Davron of the young researchers session.

06/2024 - Young Researchers Days, CEREMADE, Paris Dauphine-PSL University. Co-organization of the Young Researchers Seminar in Normandie, France. 12 presentations of one hour each, spread over two days.

11/2023 to 06/2024 - Young Researchers Seminars, CEREMADE, Paris Dauphine-PSL University. Co-organization of the weekly Young Researcher Seminars. One presentation of 45 minutes each week.

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