PhD in applied mathematics at University of Nice - Sophia Antipolis and Ecole Normale Supérieure de Paris

Size: px

Start display at page:

Download "PhD in applied mathematics at University of Nice - Sophia Antipolis and Ecole Normale Supérieure de Paris"

Julius Hamilton
6 years ago
Views:

1 Grégory Faye gfaye/ School of Mathematics University of Minnesota 127 Vincent Hall 206 Church Street SE Minneapolis, MN, USA B gfaye@umn.edu T (612) employment 2012-present Dunham Jackson Assistant Professor at University of Minnesota Allocataire moniteur at University of Nice - Sophia Antipolis Elève normalien at Ecole Normale Supérieure de Cachan. education 2013 French qualification for Assistant Professor: - Section 25 ( Mathematics) February Qualification number: Section 26 ( Applied Mathematics ) February Qualification number: PhD in applied mathematics at University of Nice - Sophia Antipolis and Ecole Normale Supérieure de Paris Title Symmetry breaking and pattern formation in some neural field equations Supervisors Pascal Chossat (cnrs) and Olivier Faugeras (inria) Defended on June 11, 2012 Reviewers Martin Golubitsky (MBI) and Arnd Scheel (UMN) Examinators Stephen Coombes, Yves Frégnac, Reiner Lauterbach and Benoît Perthame Prepared at inria Sophia Antipolis, in the Neuromathcomp project team Master degree in mathematical modeling in biology and medicine at University of Pierre et Marie Curie - Paris French agrégation of Mathematics (option: scientific calculus, rank: 78) at Ecole Normale Supérieure de Cachan Entrance at Ecole Normale Supérieure de Cachan L3-M1 of Mathematics at Ecole Normale Supérieure de Lyon (auditeur libre). research Mathématiques Neurosciences Coherent structures in nonlocal evolution equations Bifurcations with symmetries Nonlinear waves Dynamics of neural field equations (spatially localized solutions and traveling waves) Modeling of the visual cortex

2 publications 2014 G. Faye and J. Touboul, Pulsatile localized dynamics in delayed neural-field equations in arbitrary dimension, (2014), submitted. G. Faye and A. Scheel, Existence of pulses in excitable media with nonlocal coupling, (2013), submitted. Z.P. Kilpatrick and G. Faye, Pulse bifurcations in stochastic neural fields, accepted in SIAM J. Appl. Dyn. Syst., (2014) J. Rankin, D. Avitabile, J. Baladron, G. Faye and D.J. Lloyd, Continuation of localised coherent structures in nonlocal neural field equations, SIAM J. on Scientific Computing, (2013), In Press. G. Faye and A. Scheel, Fredholm properties of nonlocal differential equations via spectral flow, Indiana Univ. Math. J., (2013), In Press. G. Faye, Existence and stability of traveling pulses in a neural field equation with synaptic depression, SIAM J. Appl Dyn. Syst., 12(4), (2013), P. Chossat and G. Faye, Pattern formation for the Swift-Hohenberg equation on the hyperbolic plane, J. of Dyn. and Diff. Equ., (2013) Online First. G. Faye and P. Chossat, A spatialized model of textures perception using the structure tensor formalism, AIMS J. on Networks and Heterogenous Media, vol 8, no 1, (2013) pp G. Faye, J. Rankin and D.J. Lloyd, Localized radial bumps of a neural field equation on the Euclidean plane and the Poincaré disk, Nonlinearity, vol 26, (2013), pp G. Faye, J. Rankin and P. Chossat, Localized states in an unbounded neural field equation with smooth firing rate function: a multi-parameter analysis, J. of Math. Biology, vol 66, issue 6, (2013), pp G. Faye, Reduction method for studying localized solutions of neural field equations on the Poincaré disk, C. R. Math. Acad. Sci. Paris, vol 350, issue 3-4, (2012), pp G. Faye and P. Chossat, Bifurcation diagrams and heteroclinic networks of octagonal H-planforms, J. of Nonlinear Science, vol 22, issue 3, (2012), pp G. Faye, P. Chossat and O. Faugeras, Analysis of a hyperbolic geometric model for visual texture perception, J. of Math. Neuroscience, 1(4), (2011), pp P. Chossat, G. Faye and O. Faugeras, Bifurcation of hyperbolic planforms, J. of Nonlinear Science, vol.21, issue 4, (2011), pp G. Faye and O. Faugera, Some theoretical and numerical results for delayed neural field equations, Physica D, vol. 239, issue 9, (2010), pp

3 invited talks Existence of traveling pulse solutions in excitable media with nonlocal coupling Dyn. Syst. Seminar, Boston University, February SIAM Confer- Coherent Structures of a Nonlocal FitzHugh-Nagumo Equation ence on PDE, December 2013, Orlando Analysis of coherent structures in some nonlocal equations arising in mathematical neuroscience Seminar on PDE and applications, June 2013, Ecole Normale Supérieur de Lyon. Localized Radial Solutions of the SwiftHohenberg Equation on the Poincaré Disk SIAM conference on Dynamical Systems, May 2013, Salt Lake City. Coherent structures in neural field equations IMA Postdoc seminar, April 2013, IMA, University of Minnesota. Pattern formation for the Swfit-Hohenberg equation on the hyperbolic plane LCDS seminar, April 2013, Brown University. Cortical waves in excitatory neuronal networks 2012, University of Minnesota. Math Biology seminar, November From the functional anatomical structure of the primary visual cortex to spatiotemporal pattern formation Math Biology seminar, November 2012, University of Minnesota. A spatialized model of textures perception using structure tensor formalism Math Physics seminar, Novembre 2012, University of Minnesota. Dy- Pattern formation for the Swift-Hohenberg equation in the Poincaré disk namics and Patterns seminar, October 2012, University of Minnesota. Bifurcation of a hetercoclinic network in a problem of pattern formation in the Poincaré disk AIMS conference on Dynamical systems, July 2012, Orlando. Localized radial solutions of neural fields models on different geometries in Neural Field Theory, April 2012, University of Reading. Progress A spatialized model of textures perception motivated by pattern formation in the visual cortex Groupe de Travail Mathmatiques et Neurosciences, December 2011, IHP Paris. A bio-inspired model of textures perception in the visual cortex, December 2011, Marseille. GDR Vision, From the functional architecture of striate cortex to pattern formation in the Poincaré disk Bio-Maths Seminar, Sept. 2011, Lyon. Analysis of a geometric model for visual edges and textures perception Aug. 2011, Loughborough. Equadiff, Bifurcation of hyperbolic planforms in relation with a model for visual texture perception SIAM Dynamical Systems, May 2011, Salt Lake City. Analysis of a geometric model for visual texture perception Science, May 2011, New-York City. Center for Neural Some insights for delayed neural field equations Neurocomp 2010, Oct. 2010, Lyon.

4 teaching Sring 2014 MATH 4512 Differential Equations with Applications at University of Minnesota. Fall 2013 MATH 2374 Multivariable Calculus and Vector Analysis. MATH 4512 Differential Equations with Applications at University of Minnesota. Spring 2013 MATH 2374 Multivariable Calculus and Vector Analysis at University of Minnesota. Fall 2012 MATH 5535 Dynamical Systems and Chaos at University of Minnesota. MATH 2374 Multivariable Calculus and Vector Analysis at University of Minnesota Mathematical methods for neuroscience master lessons on dynamical systems at Ecole Normale Supérieure - Paris 25 hours Mathématiques pour la biologie L1 at University Nice - Sophia Antipolis 50 hours Analyse 1 - Fonctions at University Nice - Sophia Antipolis 72 hours Analyse 1 - Fonctions at University Pierre et Marie Curie - Paris 6 72 hours Mathematical methods for neuroscience master lessons at Ecole Normale Supérieure - Paris 6 hours other activities 5/13 Organizer of a one day workshop on Analysis and Computations of Coherent Stryctures at the Institutes for Mathematics and its Interactions, University of Minnesota. 5/13 Co-organizer of a mini-symposium on Cortical spatiotemporal patterns: modeling and applications at the SIAM conference on Dynamical Systems. 6/12 Organizer of a workshop on Recent Advances in Dynamical Systems Analysis and Applications at Inria Sophia-Antipolis. students Spring 14 Spring 13 Spring 13 Adviser of Rachel Riedhammer, undergraduate student, University of Minnesota, College of Liberal Arts. Co-adviser of Joe Marino and Chris Nolting : undergraduate students, University of Minnesota, School of Physics and Astronomy. Adviser of Chelsi Harrell, undergraduate student, University of Minnesota, College of Liberal Arts. 6/11-8/11 Co-adviser of Barbara Gris, student at Ecole Normale Supérieure de Paris, for her undergraduate internship on Spatiotemporal structure tensors, internal report available at gfaye/.

5 grants 6/13-6/16 NSF grant DMS : Spatiotemporal pattern formation in some nonlocal and local dynamical systems (127,000$) miscellaneous Languages Computational skills French: mother tongue English: fluent Programming languages (Matlab, GAP, Maple, AUTO07p), server administration (Linux, Mac OS), very good knowledge of LaTeX. PhD Advisers Pascal Chossat Olivier Faugeras U. of Nice, FR Inria Sophia Antipolis, FR B chossat@unice.fr B olivier.faugeras@inria.fr Postdoctoral Mentor Arnd Scheel U. of Minnesota, USA B scheel@umn.edu Collaborators Matthieu Alfaro Daniele Avitabile U. de Montpellier 2 U. de Nottingham, UK B malfaro@math.univ-montp2.fr B Daniele.Avitabile@nottingham.ac.uk Zachary Kilpatrick David J. Lloyd U. de Houston, USA U. de Surrey, UK B kpkilpat@math.uh.edu B D.J.Lloyd@surrey.ac.uk James Rankin New York University, USA B rankin@cns.nyu.edu Jonathan Touboul Collège de France, FR B jonathan.touboul@college-de-france.fr February 2014

GABRIELA JARAMILLO EMPLOYMENT & EDUCATION. Assistant Professor, University of Houston, TX

GABRIELA JARAMILLO EMPLOYMENT & EDUCATION. Assistant Professor, University of Houston, TX GABRIELA JARAMILLO ADDRESS Department of Mathematics University of Houston 3551 Cullen Blvd. Room 641 Philip Guthrie Hoffman Hall Houston, TX 77204 CONTACT INFORMATION email: gabriela@math.uh.edu website: