Curriculum Vitae of Pierre-Damien Thizy
Born in 1988, married, 6 children.
Camille Jordan Institute
Claude Bernard Lyon 1 University
43 boulevard du 11 Novembre 1918
F-69622 Villeurbanne Cedex
France
Email: pierre-damien.thizy@univ-lyon1.fr
Research interests
Nonlinear analysis, geometric analysis, calculus of variations, functional inequalities, stability / blow-up for critical elliptic equations.
Current position
From September 2017, assistant professor (maître de conférence), University of Lyon 1 (Claude Bernard), Camille Jordan Institute.
Education
2013-2017: Ph.D Thesis. Advisor: Emmanuel Hebey. Title: Nonlocal effects for critical elliptic systems (defended on December 5, 2016).
2012-2013: Agrégation de mathématiques (French teaching diploma), rank 13.
2009-2013: Studies at the ENS Cachan (normalien).
Publications
[1] Klein-Gordon-Maxwell equations in high dimensions. Communications on Pure and Applied Analysis, 14, (2015), no.3, 1097-1125.
[2] Non-resonant states for Schrödinger-Poisson critical systems in high dimensions. Archiv der Mathematik,104, (2015), no.5, 485-490.
[3] Stationary Kirchhoff systems in closed 3-dimensional manifolds, with Emmanuel Hebey. Calculus of Variations and PDE's, 54, (2015), no.2, 2085-2114.
[4] Schrödinger-Poisson systems in 4-dimensional closed manifolds. Discrete and Continuous Dynamical Systems-Series A, 36, (2016), no.4, 2257-2284.
[5] Stationary Kirchhoff systems in closed high dimensional manifolds, with Emmanuel Hebey. Communications in Contemporary Mathematics, 18, (2016), no.2, 1550028, 53 pp.
[6] Phase-stability for Schrödinger-Poisson critical systems in closed 5-manifolds. International Mathematical Research Notices, 20, (2016), 6245-6292.
[7] The Lin-Ni conjecture in negative geometries. Journal of Differential Equations, 260, (2016) no.4, 3658-3690.
[8] Blow-up for Schrödinger-Poisson critical systems in dimensions 4 and 5. Calculus of Variations and PDE's55, (2016) no.1, Art. 20, 21 pp
[9] Unstable phases for the critical Schrödinger-Poisson system in dimension 4. Differential and Integral Equations, 30, (2017), no.11-12, 825-832.
[10] Klein-Gordon-Maxwell type systems in the electro-magneto-static case, with Emmanuel Hebey. Journal of Partial Differential Equations, 31, (2018), no. 2, 119–158.
[11] Positive clusters for smooth perturbations of a critical elliptic equation in dimensions 4 and 5, with Jérôme Vétois. Journal of Functional Analysis, 275, (2018), no. 1, 170–195.
[12] Bubbling above the threshold of the scalar curvature in dimensions four and five, with Bruno Premoselli. Calculus of Variations and PDE's, 57, (2018), no. 6, Art. 147, 39 pp.
[13] Non-existence of extremals for the Adimurthi-Druet inequality, with Gabriele Mancini. Journal of Differential Equations, 266, (2019), no. 2-3, 1051–1072.
[14] Sharp quantization for Lane-Emden problems in dimension two. Pacific Journal of Mathematics, 300, (2019), no. 2, 491–497.
[15] Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation, with Gabriele Mancini, Journal of Mathematical Analysis and Applications, 472, (2019), no. 2, 1430–1457.
[16] Klein-Gordon-Maxwell-Proca type systems in the electro-magneto-static case - the high dimensional case, with Emmanuel Hebey. Calculus of Variations and PDE's, 58, (2019), no. 4, Art 116, 31 pp.
[17] When does a perturbed Moser-Trudinger inequality admit an extremal? Analysis & PDE, 13, (2020), no. 5, 1371-1415.
[18] Multi-bumps analysis for Trudinger-Moser nonlinearities I. Quantification and location of concentration points, with Olivier Druet. Journal of the European Mathematical Society, 22, (2020), no. 12, 4025–4096.
[19] Sign-changing blow-up for the Moser-Trudinger equation, with Luca Martinazzi and Jérôme Vétois. Accepted in Journal of Functional Analysis, 85 pp. (2021).
[20] Critical points of the Moser-Trudinger functional on closed surfaces, with Francesca De Marchis, Andrea Malchiodi and Luca Martinazzi. Inventiones mathematicae 230 (2022), no. 3, 1165–1248.
[21] Critical points of arbitrary energy for the Trudinger-Moser embedding in planar domains, with Andrea Malchiodi and Luca Martinazzi (2023). To appear in Advances in Mathematics.
Adiministrative responsibilities
2023-now. Elected at the "Conseil de la Faculté des Sciences" (4 people representing the whole math department, voting among other things on promotions and positions).
2021-now. Member of the scientific advisory board of the Camille Jordan Institute.
2023. Member of the hiring committee for a tenure-track position (equivalent maître de conférence) at Cergy (hired Jules Martel).
2022. Member of the hiring committee for a permanent position (maître de conférence) in geometric analysis at Nice (hired Michele Ancona).
2022. Member of the hiring committee for a tenure-track position (equivalent maître de conférence) at Cergy (hired Louis Ioos and Ludovic Cesbron).
2021. Member of the hiring committee for a permanent position (maître de conférence) "Analysis and interactions" for my research team (EDPA) at Lyon 1(hired Laurent Bétermin).
Organization of seminars and conferences
2022-now. Co-organizer of the weekly workshop "IFO" (Lyon-Grenoble).
2022-now. Co-organizer of the seminar "EDP, Analyse" of my research team.
2023. Co-organizer of the conference "Recent advances in geometric analysis" at CIRM.
2023. Co-organizer of the conference "Sobolev inequalities in the Alps" in Grenoble.
2019. Local organizer of "Three days workshop in Mathematical GR" at Lyon 1.
2017-2018. Co-organizer of the weekly workshop of geometric analysis (ICJ).
2014-2016. Organizer of the PHD student's seminar at Cergy-Pontoise.
Some invited talks and stays
September 2024. Workshop ""Singularity formation for nonlinear PDEs" at Cambridge (stay).
April 2023. Online seminar "Geometric and functional inequalities and applications" (US-Canada).
February 2023. "Séminaire d'Equations aux Dérivées Partielles et Applications" in Nancy.
November 2022. "Seminario di analisi Matematica", at Rome, la Sapienza (stay) .
November 2022. Analysis seminar at Giessen (stay).
February 2022. Geometric Analysis Seminar at IIT Bombay (online).
January 2021. Mathematical physics seminar at Grenoble.
November 2020. BLADE ANR Meeting.
January 2020. "Workshop on singularities in variational model" at Toulouse (stay).
December 2019. Seminar "P(n)/N(p) : Problemi differenziali nonlineari/Nonlinear differential problems" at Sapienza University of Rome (stay).
November 2019. Workshop "Recent trends in Geometric analysis and applications" in Pisa (stay).
Marsh 2019. "Séminaire E.D.P. et Physique-Mathématique" at Paris 13.
February 2018. "Séminaire Analyse Numérique et E.D.P." at Paris 11 (Orsay).
October 2017. "Journées EDP Rhône-Alpes-Auvergne" at ENS Lyon.
October 2017. Day of the team EDPA, Lyon 1.
June 2017. "The first 25 years AGM-LPTM" at "Maison Internationale de la Recherche" (UCP).
April 2017. "Séminaire de Géométrie" of IMJ-PRG at Paris 7.
March 2017. "Journées Jeunes EDPistes 2017" in Autrans.
January 2017. "Séminaire d'Equations aux Dérivées Partielles et Applications" in Nancy.
December 2016. Seminar "Equations aux Dérivées Partielles" in Besançon.
October 2016. Workshop "Analyse des singularités en EDP et Calcul des Variations" in Toulouse.
October 2016. Analysis seminar in Brussels (ULB).
July 2016. Geometric analysis seminar in Montreal at McGill (stay).
December 2015. Geometric analysis seminar in Montreal at McGill (stay).
June 2015. Geometry and analysis seminar in Nice.
June 2015. Analysis seminar in Lyon.
October 2014. PhD student's seminar of the University of Marne-la-Vallée.
November 2013. PhD student's seminar of the University of Cergy Pontoise.
Referee of article(s) for
Acta Mathematica Sinica; Advanced Nonlinear Studies; AIMS Mathematics; American Journal of Mathématics; Analysis & PDE; Analysis and Mathematical Physics; Annali della Scuola Normale Superiore di Pisa; Annals of PDE; Applied Mathematics and Optimization; Bulletin des sciences mathématiques; Calculus of Variations and Partial Differential Equations; Chinese Annals of Mathematics, Series B; Complex Variables and Elliptic Equations; Differential Geometry and its Applications; Discrete and Continuous Dynamical Systems; ESAIM: Control, Optimisation and Calculus of Variations; Geometric And Functional Analysis; International Mathematical Research Notices; Journal of Differential Equations; Journal of Fixed Point Theory and Applications; Journal of Mathematical Analysis and Applications; Journal of the European Mathematical Society; Lithuanian Mathematical Journal; Mathematische Nachrichten; Nonlinear Analysis; Potential Analysis; Zeitschrift für Angewandte Mathematik und Physik.
Funding and rewards
BQR Accueil EC 2018 (10k€).
ANR JCJC "BLADE-JC" (156k€).
PEDR 2021-2024.
FRMARA (FR 3490) 2022-2024 (twice 2500€ renewed this year).
SENS 2023 (funding to supervise a 2 year postdoctoral position).
Supervision
2023-now. Supervision of Ramya Dutta as a postdoctoral researcher (two-year funding).
2022. Supervision of the Master thesis of Arthur Reitz (ENS Paris-Saclay) with 4 months stay in Lyon"Around the Walsh-Lebesgue theorem".
Teaching and educational responsibilities
2023. Tools of functional analysis (Course in Master 2), ENS Lyon.
2020-2023. Mathematics 4 (Course), University of Lyon 1.
2018-2021. 2022-2023. Preparing students for the "Agrégation de mathématiques" (French teaching diploma, Master 2), University of Lyon 1.
2018-2023. Basics in mathematics II (exercise sessions), University of Lyon 1.
2017 and 2021. Oral examinations for undergraduate students, University of Lyon 1.
2018-2019. Mathematics 4 (exercise sessions), University of Lyon 1.
2013-2017. Preparing students for the "Agrégation de mathématiques" (French teaching diploma, Master 2), University of Cergy-Pontoise.
2016. Linear algebra (exercise sessions), University of Cergy-Pontoise.
2016. Differential geometry (exercise sessions), University of Cergy-Pontoise.
2014-2015. Linear algebra (exercise sessions), University of Cergy-Pontoise.
2014. Optimization (exercise sessions), University of Cergy-Pontoise.