Education
2012... 
Assistant Professor at AixMarseille University 
20102012 
Postdocoral Fellow at Stanford University 
20092010 
ATER (Instructor) at Paris 7 University . 
20062009 
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. 
20052006 
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 CergyPontoise.
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
antimicrotubule 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 : Timereversal superresolution in random waveguides, SIAM Multiscale Model. Simul., vol. 7, No. 3, pp. 13481386 (2009). (pdf)

C. Gomez : Wave propagation in shallowwater acoustic random waveguides, Commun. Math. Sci., vol. 9, No. 1, pp. 81125 (2011). (pdf)Long version (70 pages) : arxiv:0911.5646v1 [math PR](pdf)

C. Gomez : Radiative transport limit for the random Schrödinger equation with longrange correlations, J. Math. Pures Appl., vol. 98, No. 3, pp. 295327 (2012) (pdf)

C. Gomez : Wave decoherence for the random Schrödinger equation with longrange correlations, Commun. Math. Phys., Vol. 320, Issue 1, pp 3771 (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. 20652110 (2013) (pdf)

C. Gomez and O. Pinaud: Asymptotics of a timesplitting scheme for the random Schrödinger equation with longrange 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 longrange correlations. Preprint (pdf).

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

C. Gomez, O. Pinaud, and L. Ryzhik: Radiative transfer with longrange 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 longrange correlations. In progress.

C. Gomez and S. Honoré: Approximationdiffusion for microtubule dynamical instability. In progress.
Talks
05/14 
Workshop between the groups of applied analysis from NiceToulonMarseille, Porquerolles, France 
04/14 
CANUM, CarryleRouet, 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 JacquesLouis Lions (LJLL). 
05/09 
Workshop nonconventinal imaging and focusing techniques : from acoustic to optics, Cargèse, France. 
12/08 
Ph.D students workshop at LPMA. 
06/08 
Probability summer school, SaintFlour, France. 