Il dépend de celui qui passe
Que je sois tombe ou trésor
Que je parle ou me taise
Ceci ne tient qu’à toi
Ami n’entre pas sans désir
Paul Valéry, 1937
It is always too late to work on urgent cases, but there should always be some time to work on important problems, join Slow Science.
I am researcher (CRHC, HDR) at INRIA Nancy, I work in the GAMBLE project-team in the LORIA lab common to CNRS, INRIA and Université de Lorraine.
I’m interested in computational geometry with an algebraic flavour. In particular, I’m investigating symbolic (computer algebra) and numeric methods for the computation of the topology and the geometric approximation of curves and surfaces. My work goes from algorithm design and complexity analysis up to software development.
Short bio
- 2006-today Researcher at INRIA Nancy Grand Est
- 2006 Postdoc at Freie Universitat Berlin with Konrad Polthier
- 2002-2005 PhD Student in Prisme/Geometrica team, INRIA Sophia. Advisor: Frédéric Cazals
- 1998-2002 Mathematics teacher in high school in France.
I sort of waited. When will they find out that I’m not so good? After a couple
of years, I realized they never found out. They didn’t find out, and maybe the
other people aren’t so amazing either. So they still haven’t found out yet, and
I’m still here.
Bernd Sturmfels
Professor of Mathematics, Statistics, Computer Science, UC Berkeley
Specimen, Issue 8, July 2014
Teaching
The aim of science is not to open the door to infinite wisdom, but to set a limit to infinite error.
Bertolt Brecht
- 2022 CGAL Tutorial
- 2018 ENS Lyon, Computational Geometry
- 2012 — ENSG Géologie numérique
- 2013 IMPA Postdoc Course: Convex Hulls and Point Location, Rio, Brazil
- 2007 Master Nancy, mention Informatique, Algorithmiques géométriques et robustesse
Software
“– Vous savez, me dit-il, les Vikings qui avaient sillonné les mers et décou- vert l’Amérique, c’est un mythe allégorique. Les vrais Vikings sont ceux qui traversent des océans d’angoisse et découvrent des terres nouvelles. Vous êtes un Viking, Rodolphe.
Il m’appelait Rodolphe parce qu’il me connaissait déjà.
– Qu’est-ce qu’il y a de vrai à découvrir?
– Les seules réponses possibles ce sont les questions, Maurice. Les vrais Vikings, ce sont les questions. Les réponses, c’est ce que les Vikings se chantent pendant la traversée pour se donner du courage.”
Pseudo, Emile Ajar.
- ISOTOP: webserver for computing the topology/isotopy of an implicit real algebraic plane curve
- CGAL: I developed the following CGAL packages with Frédéric Cazals
- subdivision_solver: solver for generic systems of large dense polynomials, joint work with Rémi Imbach and Guillaume Moroz
Students
Ne craignez pas la perfection. Vous n’y parviendrez jamais !
Salvador Dali – Le journal d’un génie
- Christian Gillot, Master, 2008, Mémoire de Master: Diagrammes de Voronoï de trois droites en position arbitraire
- Yacine Bouzidi, PhD, 2010–2013, Solving bivariate systems and topology of plane curves
- Judit Recknagel, Bachelor thesis, 2013, Topology of plane singular curves resultant of two trivariate polynomials
- Olive Chakraborty, Internship, Jun-dec 2014, Numerical algorithms for certified topological and geometrical description of singular curves founded by ANR SingCAST
- Remi Imbach, PostDoc, Nov. 2014 – Oct. 2016, founded by ANR SingCAST
- Jian Qian, ENS Paris L3, Bachelor thesis, 2017, Root solver using subdivision and Fast Fourier Transform
- George Krait, Phd, 2017–2021, Isolating the Singularities of the Plane Projection of Generic Space Curves and Applications in Robotics
- Nuwan Herath Mudiyanselage, 2019–2023, Fast algorithms for the visualization of surfaces
- Mohamed (Amine) Sidi Ali Cherif, ENS Lyon M2 2021, Numeric and Topology Certified Meshing of Singular Surfaces
- Léo Kulinski, M2 MPRI, 2022, Meshing Singular Surfaces – Application in Robotics
- Srijan Chakraborty, 2024, CMI Chennai, India, Bowyer-Watson Algorithm for Delaunay Triangulation on Hyperbolic Surfaces
Yes, there are two paths you can go by, but in the long run
There’s still time to change the road you’re on.
And it makes me wonder.
LED ZEPPELIN – Stairway To Heaven
Projects
On vit avec quelques idées familières. Deux ou trois. Au hasard des mondes et
des hommes rencontrés, on les polit, on les transforme. Il faut dix ans pour
avoir une idée bien à soi – dont on puisse parler. Naturellement, c’est un peu
décourageant. Mais l’homme y gagne une certaine familiarité avec le beau visage
du monde.
Camus, “Noces”, 1936
- 2014-2018 ANR JCJC SingCAST (Singular Curves and Surfaces Topology) with Guillaume Moroz. The objective of our project is to intertwine further symbolic/numeric approaches to compute efficiently solution sets of polynomial systems with TOPOLOGICAL and geometrical guarantees in the SINGULAR case.
- Participant of ANR Présage 2011-2015
- Participant of ANR Aspag 2017-2021
All the past we leave behind,
We debouch upon a newer mightier world, varied world,
Fresh and strong the world we seize, world of labor and the march,
Pioneers! O pioneers!
We detachments steady throwing,
Down the edges, through the passes, up the mountains steep,
Conquering, holding, daring, venturing as we go the unknown ways,
Pioneers! O pioneers!
Walt Whitman – Leaves of Grass
J’habite ma propre maison,
Je n’ai jamais imité personne en rien
Et – je me ris de tout maître
Qui n’a su rire de lui-même.
Nietzsche – Le gai savoir
