Research Position for CNRS
Laboratoire de Mathématiques Paul Painlevé
Université de Lille 1
Cité scientifique,
59 655 Villeneuve d'Ascq Cédex
France
phone: 33 (0)3 20 43 45 73
fax: 33 (0)3 20 43 43 02
e-mail: alexandre.jollivet@math.univ-lille1.fr
Research area: Inverse problems, PDE, Mathematical physics
CV |
Publications and preprints |
Talks |
Teaching |
Links |
CV
Citizenship: France
Positions
2013 -- : |
Research position for CNRS, Laboratoire de Mathématiques Paul Painlevé, University of Lille, France. |
2009 -- 2013: |
Research position for CNRS, Laboratoire de Physique Théorique et Modélisation, University of Cergy-Pontoise, France. |
2007 – 2009: |
Postdoc Research Scientist, Department of Applied Physics & Applied Mathematics, Columbia University in the City of New York, USA. |
2004 – 2007: |
PhD Student and part time teacher for undergraduate courses (doctorant & allocataire de recherche-moniteur), Laboratoire de Mathématiques Jean Leray & Department of Mathematics, University of Nantes, France. |
Publication list
[17] A. Jollivet and V. Sharafutdinov, Steklov zeta-invariants and a compactness theorem for isospectral families of planar domains, J. Funct. Anal. 275:(7), 1712–1755 (2018). See hal-01392858, for a previous version.
[16] G. Bal and A. Jollivet, Generalized stability estimates in inverse transport theory, Inverse Probl. Imaging 12:(1), 59–90 (2018), hal-01480904.
[15] A. Jollivet and V. Sharafutdinov, An inequality for the zeta function of a planar domain, J. Spectr. Theory 8:(1), 271–296 (2018). See arXiv:1510.06548, for a previous version.
[14] A. Jollivet, Inverse Scattering at High Energies for Classical Relativistic Particles in a Long-Range Electromagnetic Field, AHP 16:(11), 2569—2602 (2015). See preprint 2013, ArXiv:1401.0182 , for a previous longer version.
[13] A. Jollivet, Inverse scattering at high energies for a classical particle in a long range force field, Eurasian Journal of Mathematical and Computer Applications 2:(1), 14—39 (2014), hal-01063458.
[12] A. Jollivet, Inverse scattering at high energies for the multidimensional Newton equation in a long range potential, Asymptotic Analysis 90:(1&2), 105—132 (2014). ArXiv:1306.3638.
[11] A. Jollivet, On inverse scattering at fixed energy for the multidimensional Newton equation in a non-compactly supported field, J. Inverse Ill-posed Probl. 21:(6), 713–734 (2013).
[10] G. Bal, A. Jollivet, I. Langmore and F. Monard, Angular average of time-harmonic transport solutions, Comm. Partial Differential Equations 36:(6), 1044 – 1070 (2011). (Download a preliminary version .)
[9] G. Bal and A. Jollivet, Stability in time-dependent inverse transport, SIAM J. Math. Anal. 42:(2), 679–700 (2010), ArXiv:0809.0906.
[8] G. Bal, A. Jollivet and V. Jugnon, Inverse transport theory of photoacoustics, Inverse Problems 26:(2) , 025011 (2010).
[7] G. Bal and A. Jollivet, Time-dependent angularly averaged inverse transport, Inverse Problems 25:(7), 075010 (2009). An extended version of this paper is available in ArXiv.
[6] A. Jollivet, On inverse scattering at high energies for the multidimensional Newton equation in electromagnetic field, J. Inverse Ill-posed Probl. 17:(5), 441--476 (2009) ; ArXiv:0710.0085.
[5] G. Bal and A. Jollivet, Stability estimates in stationary inverse transport, Inverse Probl. Imaging 2:(4), 427--454 (2008), ArXiv:0804.1320.
[4] A. Jollivet, On inverse scattering in electromagnetic field in classical relativistic mechanics at high energies, Asympt. Anal. 55:(1&2) 103--123 (2007).
A previous version of this article is available in ArXiv.
[3] A. Jollivet, On inverse problems in electromagnetic field in classical mechanics at fixed energy, J. Geom. Anal. 17:(2), 275--319 (2007),
[2] A. Jollivet, On inverse problems for the multidimensional relativistic Newton equation at fixed energy, Inverse Problems 23:(1), 231--242 (2007),
[1] A. Jollivet, On inverse scattering for the multidimensional relativistic Newton equation at high energies, J. Math. Phys. 47:(6) 062902, (2006),
Proceedings
[4] A. Jollivet, Convexity properties of the normalized Steklov zeta function of a planar domain, to appear in the special QIPA issue of J. Inverse Ill-posed Probl., see preprint 2020, hal-02918987 for a previous version.
[3] A. Jollivet and V. Sharafutdinov, On an inverse problem for the Steklov spectrum of a Riemannian surface, Inverse problems and applications, Eds. P. Stefanov, A. Vasy, M. Zworski, Contemporary Mathematics 615 (2014), 165--191.
[2] G. Bal and A. Jollivet, Combined source and attenuation reconstruction in SPECT, Tomography and Inverse Transport Theory, Eds. G. Bal, D. Finch, P. Kuchment, J. Schotland, P. Stefanov, G. Uhlmann. Contemporary Mathematics 559 (2011), 13 – 27.
[1] G. Bal and A. Jollivet, Approximate stability estimates in inverse transport theory, Biomedical Mathematics: Promising Directions in
Imaging, Therapy Planning and Inverse Problems, Ed. Yair Censor, Ming Jiang and Ge Wang, Medical Physics Publishing, Madison, Wisconsin USA, 2010.
Preprints
[3] G. Bal and A. Jollivet, Boundary control for transport equations, preprint 2021, hal-03199743.
[2] A. Jollivet and V. Sharafutdinov, An estimate for the Steklov zeta function of a planar domain derived from a first variation formula, preprint 2020, hal-02515278.
[1] A. Jollivet, M. K. Nguyen and T. T. Truong, Properties and Inversion of a new Radon Transform on parabolas with fixed axis direction in R^{2}, 2010.
Ph.D. Thesis
[0] Inverse problems for the multidimensional Newton-Einstein equation, 2007 (mostly in french), TEL-00164558.
I did my PhD Thesis at University of Nantes, in the Laboratoire de Mathématiques Jean Leray, under the direction of Roman Novikov.
Talks
Conference on Quasilinear Equations, Inverse Problems and their applications, Moscow, Russia, 12/2020.
Conference on Quasilinear Equations, Inverse Problems and their applications, Moscow, Russia, 12/2019.
Seminar PDE and Mathematical Physics, LAGA, Villetaneuse, France, 09/2018.
Conference on Quasilinear Equations, Inverse Problems and their applications, Moscow, Russia, 12/2018.
Ninth International Conference ''Inverse problems: modeling and simulation'', Mellieha, Malta, 05/2018.
Workshop ``RIMS Workshop on inverse problems of partial differential equations and related topics'', Kyoto, Japan, 01/2018.
Conference on Quasilinear Equations, Inverse Problems and their applications, Moscow, Russia, 12/2017.
Workshop ``Mathematical Methods in Inverse Scattering and Spectral Theory'', Leeds, England, 09/2017.
Conference ``Control Theory, Integral Geometry, Inverse Problems'', Saint Petersburg, Russia, 06/2017.
Conference on Theory and Numerical Methods for Inverse and Ill-Posed Problems, Novosibirsk, Russia, 09/2016.
Geometry seminar, Novosibirsk, Russia, 08/2016.
Eighth International Conference "Inverse Problems: Modeling and Simulation", Ölüdeniz, Fethiye, Turkey, 05/2016.
Conference on Quasilinear equations, inverse problems and their applications, Moscow, Russia, 11/2015.
Conference on Spectral and Analytic Inverse Problems, IHP, Paris, France, 05/2015.
International Workshop Inverse Problems and Integral Geometry, Kaliningrad, Russia, 10/2014.
Workshop on Inverse Problems and Related Topics, Saint Petersburg, Russia, 08/2014.
Quantum and Classical Dynamics seminar, CPT, Luminy, 01/2014.
Journée de rentrée du Laboratoire Paul Painlevé, University of Lille 1, 10/2013.
Seminar of Mathematical Physics, University of Lille 1, 06/2013.
Conference on Inverse Problems and Nonlinear Equations, CMAP, Ecole Polytechnique, 05/2013. You can download the slides of the talk by clicking on .
Workshop on Inverse Transport Problems, University of Manchester, UK, 03/2013.
Seminar on Quasilinear Equations and Inverse Problems, CMAP, Ecole Polytechnique, 01/2013.
Conference on Inverse Problems in honor of Gunther Uhlmann, University of California, Irvine, USA, 06/2012. You can download the slides of the talk by clicking on .
Working group on Mathematical Methods in Imaging, ENS, 03/2012.
Workshop on Inverse Problems and Applications, CMAP, Ecole polytechnique, 09/2011.
Workshop on Inverse Transport Theory and Tomography, Banff International Research Station, Alberta, Canada, 06/2010. You can download the slides of the talk by clicking on .
Working group on Mathematical Physics, University of Cergy-Pontoise, France, 03/2010.
Seminar of CMAP, Ecole Polytechnique, France, 12/2009. You can download the slides of the talk by clicking on .
Mathematics Research Communities Summer Conference on Inverse Problems, Snowbird Resort, Utah, USA, 06/2009.
Seminar of the Theoretical Physics and Modelling Laboratory, University of Cergy-Pontoise, France, 04/2009.
Mathematical Physics seminar, University of Lille 1, France, 04/2009.
Seminar on Mathematics of Imaging, Institut Henri Poincaré, Paris, France, 03/2009.
ANR blanc NONAa meeting, University of Nantes, France, 02/2009. You can download the slides of the talk by clicking on .
Mathematical Physics and Geometry seminar, University of Paris 7, France, 02/2009.
Working group on Inverse Problems in Radiative Transfer, University of Merced, USA, 06/2008.
Working group on inverse problems, Columbia University, New York, USA, 02/2008.
Working group on inverse problems, Columbia University, New York, USA, 11/2007.
Working group on inverse problems, Columbia University, New York, USA, 10/2007.
Workshop on Microlocal Analysis and Harmonic Analysis in Inverse Problems, CIRM, Marseille, France, 03/2007. You can download the slides of the talk by clicking on .
Rennes-Nantes Applied Analysis and Partial Differential Equations teams meeting, Rennes, France, 01/2007.
Numerical working group, University of Cergy-Pontoise, France, 11/2006.
Maths Ph. D. candidates meeting, Rennes, France, 05/2006.
Seminar of the team Applied Analysis of Amiens A^{3}, University of Picardie-Jules Verne, France, 01/2006.
Seminar of Ph.D. candidates, University of Nantes, France, 11/2005.
Seminar of the team Partial Differential Equations, University of Metz, France, 10/2005.
Seminar of the team Partial Differential Equations and Applications, University of Poitiers, France, 10/2005.
Analysis seminar, University of Nantes, France, 03/2005.
Seminar of Ph.D. candidates, University of Nantes, France, 11/2004.
Teaching
I taught in the University of Nantes from November 2004 to January 2007 as a moniteur (part time teacher for undergraduate courses) of the Department of Mathematics. Here is what I did.
Year 2006-2007
Exercices sessions, examinations, in basic analysis for first year physics and chemistry students.
Exercices sessions, examinations, in topology, differential calculus and integration for second year computer science students.
Year 2005-2006
Exercices sessions, examinations, in basic analysis for first year physics and chemistry students.
Exercices sessions, examinations, in topology, differential calculus and integration for second year computer science students.
Year 2004-2005
Exercices sessions, examinations, in differential calculus for third year maths students.
Exercices sessions, examinations, in analytical functions for third year maths students.
Exercices sessions in sequences and series of functions to second year maths students.
Exercices sessions in basic algebra to first year maths and computer science students.
Exercices sessions, examinations, in basic analysis for first year maths and computer science students.
Links