Page de Rémy Rodiac

Je suis actuellement "adjunkt " (position temporaire, équivalente à celle de "assistant professor") à l'université de Varsovie en Pologne. 

De septembre 2019 à juin 2023, j'étais maître de conférences à l'université Paris-Saclay. J'ai soutenu mon hdr en juin 2023

Auparavant (juin 2017-juin 2019) j'étais postdoctorant à l'Université Catholique de Louvain-la-Neuve où je travaillais avec Jean Van Schaftingen. D'octobre 2015 à avril 2017, j'étais post-doctorant à l'Université pontificale catholique du Chili (PUC) à Santiago du Chili. J'y ai travaillé avec Duvan Henao, dans un groupe dirigé par Manuel del Pino.

J'ai effectué ma thèse (septembre 2012- septembre 2015) à l'Université Paris-Est Créteil, sous la direction d'Etienne Sandier et Laurent Hauswirth.

I am currently an  "adjunkt" (equivalent of assistant professor) at the University of Warsaw.

From september 2019 to june 2023 I was a "maître de conférences" at the Université Paris-Saclay. 

Before that I was a post-doc researcher (june 2017-june 2019) at the Catholic University of Louvain-la-Neuve (UCL) in Belgium. I worked under the supervision of Jean Van Schaftingen. From october 2015 to april 2017, I was a postdoc at the Pontificia Universidad Catolica (PUC) of Santiago in Chile. I worked under the supervision of Duvan Henao  and in a group led by Manuel del Pino.

I did my PhD  (september 2012-september 2015) in mathematics at Paris Est Créteil University, under the supervision of Etienne Sandier and Laurent Hauswirth.

Research interest : Calculus of Variations, Partial Differential Equations, Phase transitions, Ginzburg-Landau model in superconductivity, Minimal Surfaces, Harmonic maps, Liquid crystals, Nonlinear elasticity.

Articles:

25.M.Barchiesi, D.Henao, C. Mora-Corral, R.Rodiac, A relaxation approach to the minimisation of the neo-Hookean energy in 3D, submitted, link

24. R.Rodiac, Stability conditions for mean-field limiting vorticities of the Ginzburg-Landau equations in 2D, submitted, link

23. J-F.Babadjian, V.Millot, R.Rodiac,  A note on the one-dimensional critical points of the Ambrosio-Tortorelli functional, accepted in Asymptot. Anal.

22. J-F. Babadjian, V.Millot, R.Rodiac, On the convergence of critical points of the Ambrosio-Tortorelli functional, accepted in Ann. Inst. H. Poincaré Anal. Non Linéaire, link 

21. M. Dos Santos, R.Rodiac, E.Sandier, The Ginzburg-Landau energy with a pinning term oscillating faster than the coherence length, Interfaces Free Bound.  25 (2023), no.3, 491-515, link 

20.  M.Barchiesi, D.Henao, C. Mora-Corral, R.Rodiac, On the lack of compactness problem in the axisymmetric neo-Hookean model , submitted, link 

19. J. Dávila, M. del Pino, M. Medina, R.Rodiac, Interacting helical traveling waves for the Gross-Pitaevskii equation, Ann. Inst. H. Poncaré C Anal. Non Linéaire 39 (2022), n°6, 1319-1367,  link 

18. M.Barchiesi, D.Henao, C. Mora-Corral, R.Rodiac, Harmonic dipoles and the relaxation of the neo-Hookean energy in 3D elasticity,  Arch. Ration. Mech. Anal. 247 (2023), no.4, Paper no. 70, 46 pp.  link

17. R.Rodiac, P.Ubillús, Renormalized energies for unit-valued harmonic maps in multiply connected domains, Asymptot. Anal. 128 (2022), no. 3, 413–444,  link

16. A.Monteil, R.Rodiac, J. Van Schaftingen, Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold, Arch. Ration. Mech. Anal. 242 (2021), no. 2, 875–935, link

15. A.Monteil, R.Rodiac, J. Van Schaftingen, Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domain, Math. Ann. 383 (2022), no. 3-4, 1061–1125., link

14. R.Rodiac, J. Van Schaftingen, Metric characterization of the sum of fractional Sobolev spaces,  Studia Math. 258 (2021), no.1, 27-51 link

13. J.Dàvila, M.del Pino, M.Medina, R.Rodiac, Interacting helicoidal filaments in the 3-dimensional Ginzburg-Landau equation, J. Eur. Math. Soc. (JEMS) 24 (2022), no. 12, 4143–4199, link

12. L.Ambrosio, A.Ponce, R.Rodiac, Critical weak L^p differentiability of singular integrals, Rev. Mat. Iberoam. 36 (2020) no. 7, 2033-2072, link

11. R.Rodiac, Description of limiting vorticities for the magnetic 2D Ginzburg-Landau equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no.3, 783-809, link

10. A.Aftalion, R.Rodiac, One dimensional phase transition problem modelling striped spin-orbit coupled Bose-Einstein condensates, J. Differential Equations 269 (2020) no.1, 38-81 link

9. K.Mazowiecka, R.Rodiac, A.Schikorra, epsilon regularity for p-harmonic maps at a free boundary on a sphere, Analysis & PDE 13-5 (2020), 1301--1331. link

8. R.Rodiac, Variational reduction for semi-stiff Ginzburg-Landau vortices, Differential Integral Equations 32 (2019) 541-582.link

7. D.Henao, R.Rodiac, On the existence of minimizers for the neo-Hookean energy in the axisymmetric setting, published in Discrete and Contin. Dyn. Syst. 38 (2018), no.9 4509–4536. link

6. A.Contreras, X.Lamy, R.Rodiac, On the convergence of minimizers of singular perturbation functionals, Indiana Univ. Math.J. 67 (2018), no.4   1665–1682.  link

5. A.Contreras, X.Lamy and R.Rodiac, Boundary regularity of weakly anchored harmonic maps, C. R. Math. Acad. Sci. Paris 353 (2015), no. 12,1093 − 1097.link

4. M.Dos Santos and R.Rodiac, Existence and non existence results for minimizers of Ginzburg-Landau energy with prescribed degrees, Commun. Contemp. Math. 18(2016), no.5, 1650017, (31p). link

3. R.Rodiac, Regularity properties of stationary harmonic functions whose Laplacian is a Radon measure, SIAM J. Math. Anal. 48(2016), no. 4, 2495 −2531. link. 

2. L.Hauswirth and R.Rodiac, Harmonic maps with prescribed degrees on the boundary of an annulus and bifurcating Catenoids, Calc. Var. Partial Differential Equations, 55 (2016), no.5, Art. 120, 34 pp. link 

1. R.Rodiac and E. Sandier, Insertion of Bubbles at the boundary for the Ginzburg-Landau functional, J. Fixed Point Theory and Appl., 15 (2014), no.2, 587-606, link

Ma thèse:  Les slides de la soutenance

            Le manuscrit de la thèse

Quelques exposés sur mes travaux: 

A talk on the minimization of the neo-Hookean energy (Presentation of the results of paper 4)

Un exposé sur les problèmes à degrés prescrits (Présentation des résultats des articles 7, 9, et 10.)  

A talk on prescribed degree problems (presentation of the results of papers 7, 9 and 10.)

Un exposé sur les fonctions stationnaires harmoniques (introduction aux résultats de l'article 8)

A talk on stationary harmonic functions (introduction to the results of paper 8)

Enseignements:

2020 Basic Optimization M2 Lecture notes: Basic optimization

2017 (Mars-Avril)  Teaching assistant, Complex analysis for postgraduate students in mathematics.

2015        Teaching assistant, Probability and theory of Distributions, for third year undergraduate students in engineering. 

2012–2014    Teaching assistant, Linear Algebra, for 2nd year undergraduate students in engineering. 

2012–2014    Teaching assistant, Linear Algebra, for 1st year undergraduate mathematics students. 

2012–2014    Teaching assistant, Series of functions, for third year undergraduate mathematics students. 

Organisations de séminaires:

Co-organisateur du séminaire ANEDP d'Orsay (depuis 2021)

Co-organisation avec Etienne Sandier d'une session "Etats de la recherche" intitulée Supraconductivité, superfluidité,vortex (IHP-Octobre 2015)

Organisation du séminaire des doctorants (2014-2015) de l'UPEC et UPEM (lien vers la page)