Oana IVANOVICI. Personal Information. Research interests. Employment. Education. Fellowships and Awards. Grants and Membership

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1 Oana IVANOVICI Nationality : French and Romanian Civil status : Married, one child (born in November 2011) Personal Information Address : Webpage : Research interests Université Nice Sophia-Antipolis, Laboratoire J. A. Dieudonné Parc Valrose Nice Cedex 02, FRANCE Oana.Ivanovici@unice.fr ioana/ Microlocal analysis, nonlinear PDE, hyperbolic equations on manifolds with boundary, dispersion, long time behaviour of solutions, propagation et reflection des singularities, diffraction phenomenon. Employment summer 2016 Visiting Member, Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette since 2010 CNRS researcher, Laboratoire J.A. Dieudonné, University of Nice Sophia-Antipolis J.J.Sylvester Assistant Professor at Johns Hopkins University, Baltimore, MD, USA Education PhD Thesis at University Paris XI (Orsay), advisor Nicolas Burq ; PhD : The thesis report : ioana/rapports_soutenance.pdf Student at the Ecole Normale Supérieure, Paris, France ; contest : SI-Sciences/2003 Master in mathematics at ENS and Paris XI (rank 1), Graduate at ENS and Paris VI Undergraduate student at the ENS and University of Bucharest, IMAR, Romania Fellowships and Awards 2017 ERC Starting Grant PEDR (CNRS bonus for Research and PhD supervising) PES (CNRS bonus for scientific excellence). Grants and Membership PI of the ERC starting grant ANADEL (1,3 M euros over 5 years) Principal Investigator of the grant "Analyse des équations dispersives", funded by French ANR ( euros over 18 months ; ends 06/2018) Member of the ERC SCAPDE project (coordinated by Gilles Lebeau, ends 03/2018) Member of the ANR GEODISP grant - "Geometry and dispersion for nonlinear waves" (coordinated by Fabrice Planchon) Member of the ANR "EDP - Dispersives" grant, coordinated by Nicolas Burq since 2009 Member of the SMF 1

2 Supervision activities Post-doctoral student (funded by the ANR) : Jiqiang Zheng, Nice ; PhD Thesis of Len Meas, Nice, co-direction with Gilles Lebeau (50% each) ; Master 1 Thesis of Kevin Le Balc h (ENS Rennes and Univ. de Rennes 1). Teaching activities Teaching (substitute) at the University of Nice, France Master course in PDE : Wave equation in domains with boundary (15H)/ Instructor ; Master course in Analysis (36H)/ Teaching Assistant ; Undergraduate (L3) : Integration and Probabilities (40H/year)/Teaching Assistant ; Preparation for admission exams in Superior Schools (20H/year)/ Instructor ; Teaching at Johns Hopkins University Fall 2009 Master Course : Math. 726 Topics in Analysis (30H)/ Instructor ; Fall 2010 Undergraduate : Math. 201 Linear Algebra (50H -180 students)/instructor ; Spring 2010 Math.302 Differential Equations with Applications (70H)/ Instructor ; Spring 2010 Math. 405 Introduction to Real Analysis (30H)/Instructor Teaching at Paris XI University, Orsay Math.151 Calculus (33H/year)/ Teaching Assistant Math.152 Advanced Calculus (33H/year)/ Instructor. Organisation of scientific meetings Organizer of the workshop "Propagation of Singularities in Dispersive PDEs", WPI, Vienna ; Organizer of the workshop "Seventh Itinerant Meeting in PDEs", Nice ; ioana/7im/index.html Organizer of the workshop "Blow-up, Dispersion and Solitons", LJAD Nice ; ioana/workshop_nice/blowdisol2.html Organizer of the seminar "Geometry and Analysis", LJAD Nice ; Organizer of the seminar : "Analysis and PDE", J.H.U., MD, United States Institutional responsibilities since 2016 Elected member of the National Committee for Scientific Research (CoNRS) (section 41). The CoNRS sections serve as hiring and evaluating committees for CNRS positions. since 2014 Elected member of the UFR Sciences Council at the University of Nice ; since 2012 Elected member of the permanent committee of humain ressources (CPRH) concerning the sections of the CNU, University of Nice ; The CPRH is in charge of overseeing hirings (professors-researchers, assistantprofessors, research-teaching temporary positions, invited professors, etc) ; since 2015 Member of hiring committees on a Maitre de Conférence Position (2016, Montpellier and Strasbourg ; 2015 Nice) ; since 2009 Reviewer for international journals : 3-4 papers per year (Astérisque, Comm.PDE, J. of the Amer.Math.Soc., AMJ, Math.Ann. between others) 2

3 Some invited talks at national or international conferences Conference "Linear and Nonlinear Wave Phenomena : Stability, Propagation of Regularity and Turbulence" Cortona, Tuscany Workshop on "Microlocal Analysis and its Applications in Spectral Theory, Dynamical Systems, Inverse Problems and PDE", Murramarang Resort, Australia Workshop "Microlocal analysis, resonances and control theory in PDEs", Italy Conference "Dynamical Geometrical Analysis" in Orsay Workshop "Nonlinear Waves and Dispersive Equations", Oberwolfach, Germany Workshop "Nonlinear Dispersive equations in Valdivia", Valvidia, Chile Workshop "Recent progress on the qualitative properties of nonlinear dispersive waves and systems", Vienna, Austria Workshop "Nonlinear evolution problems", Oberwolfach, Germany International Conference during the semester "Nonlinear Waves", IHES France Conference "Evolution equations on singular spaces", CIRM, France Conference "Semiclassical Analysis and Non-self-adjoint Operators", Marseille Workshop "New challenges in PDE : Deterministic dynamics and randomness in high and infinite dimensional systems", MSRI, Berkeley, California, USA The French-Roumain Colloquium in Applied Mathematics, Lyon, France Conference "Blow up and dispersion in Nonlinear PDEs", WPI Vienna, Austria Conference "Microlocal Analysis and Applications", University of Nice, France Conference "Analyse Microlocale" Paris 6 University, France Workshop "Nonlinear Wave Equations", Lisbonne, Portugal Anniversary Conference of the Faculty of Science, Univ. of Bucarest, Romania Conference : "Nonlinear Waves and Dispersive Equations", Oberwolfach, Germany Conference "PDE s, scattering theory and control theory", Monastir, Tunisia Workshop "Nonhomogeneous boundary-value problems for nonlinear waves", AIM, Palo Alto, California, US Workshop "Blow-up, dispersion and scattering", Rome, Italy Workshop "Régimes asymptotiques pour l équation de Schrödinger non linéaire", CIRM, Marseille, France French - Vietnamien Congress SMF-VSM, PDE session, Hué, Vietnam Workshop IHP, Paris Winter School "Dynamics and PDE", Saint Etienne de Tinée, France The 100 anniversary of the Royal Spanish Mathematical Society, Avila, Spain Conference : "Nonlinear Waves and Dispersive Equations", Oberwolfach, Germany Summer School "Singularités dans les équations aux dérivées partielles", IHES, Paris Conference "Journées EDP", Port d Albret, France Beijing Research Center, China, conference in harmonic analysis and PDE Conference "Nonlinear Structures Arising in Dispersive PDE", Bonn/Haussdorff Center, Germany. 3

4 Some Invited Talks (at national or international seminars) Seminar "Problèmes spectraux en physique mathématique", IHP, Paris Seminar, Laboratory of Condensed Matter Physics (LPMC), Nice "Geometric Analysis and PDE" seminar, Univ. of Cambridge, England X-EDP Seminar, Ecole Polytechnique, Paris "Géométrie, Analyse et Dynamique" Seminar, Univ. de Nice Sophia-Antipolis "Analyse Algébrique" Seminar, Univ. Paris Analysis Seminar, Northwestern University, IL PDE/Applied Math Seminar, University of Maryland (College Park), MD Princeton Analysis Seminar, Princeton University, NJ JHU Analysis Seminar, Johns Hopkins University, Baltimore, MD "Problèmes Spectraux en Physique Mathématique" Seminar, IHP "Numerical Analysis and PDE" Seminar, Paris Sud Univ., Orsay Seminar of Mathematical Physics and PDE. University Paris XIII, Villetaneuse PDE Seminar, University of Osaka, Japan PDE Seminar, University of Kyoto, Japan. Invitations abroad 2015 two weeks at MSRI, Berkeley 2015 one week at Centro de Giorgi and University of Pisa, Italy ; 2014 one week at Wolfang Pauli Institute, Viena, Austria ; 2010 one week at Northwestern University, one week at NYU one week at Hausdorff Center for Mathematics, Bonn, Germany two weeks at MSRI, Berkeley ; one month at l ETH Zurich, Switzerland two weeks at Kyoto University (project JSPS-CNRS) one month at Stefan Banach International Mathematics Institute, Warsow, Poland. 4

5 HIGHLIGHTING FIVE PUBLICATIONS (ORCID ID : X) [1] Dispersion estimates for the wave equation inside strictly convex domains I : the Friedlander model case, in collaboration with Gilles Lebeau and Fabrice Planchon ; Annals of Mathematics, vol. 180, issue 1(2014), In this paper, which represents more than 3 years of work, we show that inside a strictly convex model domain there is a loss compared to the dispersive estimates in the free case and this is due to microlocal phenomena such as caustics generated in arbitrarily small time near the boundary. In a very recent work (started in 2012), we have dealt with the generic strictly convex case : the new method provides a much deeper understanding of the complex propagation pattern near the boundary and extends the parametrix construction to the largest possible phase space region. This will have far reaching consequences, beyond pointwise bounds, as the parametrix will prove to be a powerful tool to prove sharp propagation of singularities results which were out of reach until now. [2] Counterexamples to the Strichartz estimates for the wave equation in general domains II, Journal of the European Math. Soc. vol.14, issue 5, (2012), pages [3] Counterexamples to Strichartz estimates for the wave equation in domains, Mathematische Annalen vol. 347, issue 3 (2010), page In these two papers (dealing first with a model case [3], then with a general convex domain [2]) I showed that the (local in time) Strichartz estimates for the wave equation suffer losses when compared to the usual case R d, at least for a subset of the usual range of admissible indices (q, r). This result was striking since the whispering gallery modes, which seemed to have the maximum amount of concentration and easily rule out the spectral projectors estimate with a bound like in the flat case, do NOT rule out the Strichartz estimates : so people felt that the latter should hold for all admissible exponents. [4] On the Schrödinger equation outside strictly convex obstacles, Analysis and PDE vol. 3, no.3. (2010), pages Outside a strictly convex obstacle, I obtained the full set of Strichartz estimates (except for the end-points) for solutions to the Schrödinger equation, an open question since Smith and Sogge had obtained similar results for the wave in The question about whether or not dispersion did hold outside general strictly convex obstacles was raised more than 20 years ago : in a very recent work (in collaboration with G.Lebeau) we give sharp answers which highlight the importance of diffractive effects, especially in higher dimensions where we have provided unexpected counterexamples. This results represent more than 3 years of work. [5] On the energy-critical Schrödinger equation in 3D non-trapping domains, with Fabrice Planchon, Annales de l IHP Analyse Non Linéaire vol. 27, issue 5 (2010), pages In this work we prove a local well-posedness theory for the solution to the quintic nonlinear Schrödinger equation outside non-trapping obstacles, bypassing the absence of suitable known Strichartz estimates (back then). 5