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Aix-Marseille University

Institut de Mathématiques de Marseille (I2M)
Department of Mathematics
CMI - Technopôle Château-Gombert
Office 136
39, rue F. Joliot Curie
13453 Marseille Cedex 13
France

christophe.gomez '[[a]]' univ-amu.fr
Tel: (+33) (0) 4 13 55 13 28
Fax: (+33) (0) 4 13 55 14 02
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Education

2012-...

Assistant Professor at Aix-Marseille University

2010-2012

Postdocoral Fellow at Stanford University

2009-2010

ATER (Instructor) at Paris 7 University .

2006-2009

Ph.D in Applied Mathematics on wave propagation and time reversal in random waveguides under the supervision of Josselin Garnier, at the Laboratoire de Probabilités et Modèles Aléatoires (LPMA), Université Paris 7.

2005-2006

Master's degree in probability and applications, Université Paris 6.


I got the Agregation of Mathematics. Moreover, I got a B.S and the first year of the Master program in Mathematics at the University of Cergy-Pontoise.

Publications and research interests

My research topics concern the analysis of wave propagation and wave focusing in random media. Wave propagation in random media is a very active research field and arises in numerous applications. This analysis is very important for applications because it gives very valuable indications about the resolution limits of imaging processes in complex media, such as in medical imaging (ultrasound ecography), underwater acoustics (sonar), or in geophysics (seismic imaging). More recently, I have joined the group Mathematics and cancer of the I2M. My research with this group concerns stochastic models for microtubule dynamic instability under the influence of anti-microtubule agents. The main goal of this work is to reproduce and predict experimental results. Microtubules are a component of the cytoskeleton playing a important role in many cellular processes such as mitosis, intracellular trasnport... This is the reason why these are very interesting target for cancer therapies.


Publications and preprints

Ph.D Thesis : Wave propagation and time reversal in random waveguides. (pdf)


  • C. Gomez : Time-reversal superresolution in random waveguides, SIAM Multiscale Model. Simul., vol. 7, No. 3, pp. 1348-1386 (2009). (pdf)

  • C. Gomez : Wave propagation in shallow-water acoustic random waveguides, Commun. Math. Sci., vol. 9, No. 1, pp. 81-125 (2011). (pdf)Long version (70 pages) : arxiv:0911.5646v1 [math PR](pdf)

  • C. Gomez : Radiative transport limit for the random Schrödinger equation with long-range correlations, J. Math. Pures Appl., vol. 98, No. 3, pp. 295-327 (2012) (pdf)

  • C. Gomez : Wave decoherence for the random Schrödinger equation with long-range correlations, Commun. Math. Phys., Vol. 320, Issue 1, pp 37-71 (2013). (pdf)

  • C. Gomez : Loss of resolution for the time reversal of wave in underwater acoustic random channels, Math. Mod. Meth. App. Sci., vol. 23, No. 11, pp. 2065-2110 (2013) (pdf)

  • C. Gomez and O. Pinaud: Asymptotics of a time-splitting scheme for the random Schrödinger equation with long-range correlations, Math. Model. Numer. Anal., 48, pp.411-- 431, 2014 (pdf).

  • C. Gomez : Wave Propagation in Underwater Acoustic Waveguides with Rough Boundaries. To appear in Commun. Math. Sci.. (pdf)

  • C. Gomez, O. Pinaud, and L. Ryzhik : Hypoelliptic estimates in radiative transfer. To appear in Commun. Part. Diff. Eq. (pdf).

  • N. Hartung and C. Gomez : A stochastic framework for secondary metastatic emission. Soumis (pdf).

  • C. Gomez and K. Solna : Wave propagation in random waveguide with long-range correlations. Preprint (pdf).

  • C. Gomez and O. Pinaud: Fractional White-Noise Limit and Paraxial Approximation for Waves in Random Media. Submitted. (pdf)

  • C. Gomez, O. Pinaud, and L. Ryzhik: Radiative transfer with long-range interactions: regularity and asymptotics. Submitted. (pdf)

  • C. Gomez and M. Hauray: Rigorous derivation of Lindblad equations from quantum jumps processes in 1D, Preprint (pdf).

  • C. Gomez and K. Solna: Anomalous diffusion phenomena for wave propagation in randomly layered media with long-range correlations. In progress.

  • C. Gomez and S. Honoré: Approximation-diffusion for microtubule dynamical instability. In progress.

Talks

05/14

Workshop between the groups of applied analysis from Nice-Toulon-Marseille, Porquerolles, France

04/14

CANUM, Carry-le-Rouet, France

12/13

Conference, SIAM PDEs, Orlando, USA

07/13

Conference, Applied Inverse Problem, Daejeon, South Korea

05/13

Workshop, Probability and PDEs, Pisa, Italy

03/13

Workshop, Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization, Oberwolfach, Germany

08/12

13th week of the condensed matter, Montpellier, France.

02/12

Probability seminar, Marseille, France.

02/12

Probability seminar, Nice, France.

01/12

Probability seminar, Georgia tech Atlanta, USA.

01/12

Probability seminar, Toulouse, France.

11/11

Applied math seminar, UC Irvine, USA.

11/11

Applied math seminar, Stanford University, USA.

05/10

Colloquium jeunes probabilistes et statisticiens, Mont Dore, France.

04/10

Probability Seminar, Nancy, France.

01/10

Seminar on mathematical methods for imaging at IHP, France.

06/09

Meeting between the Ph.D students of the LPMA and Laboratoire Jacques-Louis Lions (LJLL).

05/09

Workshop non-conventinal imaging and focusing techniques : from acoustic to optics, Cargèse, France.

12/08

Ph.D students workshop at LPMA.

06/08

Probability summer school, Saint-Flour, France.