Emmanuel Risler Professor

Institut Camille Jordan | INSA de Lyon
21 avenue Capelle, 69100 Villeurbanne, France.
Local part: emmanuel.risler, domain: math.cnrs.fr.

Mathematics is the natural science where experiments are inexpensive.

Vladimir I. Arnold

Research interests

  • Holomorphic dynamics and small divisors problems (during PhD).
  • Nonlinear dynamics of differential and partial differential equations.
  • Semantic modelling of Life Cycle Assessment. I launched with Benjamin Bertin the CarbonDB project.
Looking for my way on a map
Trying to solve a problem.

Publications

Global behaviour of radially symmetric solutions stable at infinity for gradient systems
ER.
2017, 52 pp. Pre
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Competition between stable equilibria in reaction-diffusion systems: the influence of mobility on dominance
ER.
2017, 43 pp. Pre
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Retracting fronts for the nonlinear complex heat equation
Guillaume Réocreux, ER.
2017, 21 pp. Pre
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Global behaviour of bistable solutions for hyperbolic gradient systems in one unbounded spatial dimension
ER.
2017, 75 pp. Pre
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Global behaviour of bistable solutions for gradient systems in one unbounded spatial dimension
ER.
2016, 91 pp. Pre
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Global relaxation of bistable solutions for gradient systems in one unbounded spatial dimension
ER.
2016, 69 pp. Pre
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Uniqueness of the pendent drop of infinite length
ER.
2015, 12 pp. Pre
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Base de données sémantique d'inventaires en cycle de vie
Benjamin Bertin, Vasile-Marian Scuturici, Jean-Marie Pinon, ER.
Ingénierie des Systèmes d'Information, 18.2 (2013), pp. 103–128. Art
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CarbonDB: a Semantic Life Cycle Inventory Database
Benjamin Bertin, Vasile-Marian Scuturici, Jean-Marie Pinon, ER.
Proceedings CIKM'12, Maui, HI, USA, October 29–November 02, 2012, pp. 2683–2685. Proc
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Semantic Modelling of Dependency Relations between Life Cycle Analysis Processes
Benjamin Bertin, Vasile-Marian Scuturici, Jean-Marie Pinon, ER.
ICT-GLOW 2012, Vienna, Austria, September 6, 2012, pp. 109–124. Proc
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Modélisation sémantique des relations de dépendance entre les processus de l'analyse en cycle de vie
Benjamin Bertin, Vasile-Marian Scuturici, Jean-Marie Pinon, ER.
Actes du XXXème Congrès INFORSID, Montpellier, France, 29–31 mai 2012, pp. 507–522. Proc
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A semantic approach to life cycle assessment applied on energy environmental impact data management
Benjamin Bertin, Vasile-Marian Scuturici, Jean-Marie Pinon, ER.
Proceedings of the 2012 Joint EDBT/ICDT Workshops, March 26–30, 2012 - Berlin, Germany, pp. 87–94. Proc
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Global convergence toward traveling fronts in nonlinear parabolic systems with a gradient structure
ER.
Ann. Inst. H. Poincaré Anal. Non Linéaire, 25.2 (2008), pp. 381–424. Art
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A variational proof of global stability for bistable travelling waves
Thierry Gallay, ER.
Differential Integral Equations, 20.8 (2007), pp. 901–926. Art
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Sur quelques phénomènes d'évolution non linéaires
ER.
Habilitation to conduct researches ("Habilitation à diriger des recherches") dissertation (2002). Dis
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Travelling waves and dispersion relation in the spatial unfolding of a periodic orbit
ER.
C. R. Acad. Sci. Paris, Ser. I, 334.9 (2002), pp. 833–838. Art
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Axisymmetric capillary surfaces as a dynamical system
Christophe Riera, ER.
Nonlinearity, 15.6 (2002), pp. 1843–1879. Art
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Spatial unfolding of homoclinic bifurcations
Pierre Coullet, ER, Nicolas Vandenberghe.
Nonlinear PDE's in Condensed Matter and Reactive Flows (2002), pp. 399–412. Proc
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A direct computation of the phase stability criterion for spatially homogeneous time periodic solutions close to a Hopf bifurcation
ER.
Int. J. Bifur. Chaos, 11.8 (2001), pp. 2097–2105. Art
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Generic instability of spatial unfoldings of almost homoclinic periodic orbits
ER.
Comm. Math. Phys., 216 (2001), pp. 325–356. Art
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Self-parametric instability in spatially extended systems
Médéric Argentina, Pierre Coullet, ER.
Phys. Rev. Lett., 86.5 (2001), pp. 807–809. Art
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Criteria for the stability of spatial extensions of fixed points and periodic orbits of differential equations in dimension 2
ER.
Phys. D, 146 (2000), pp. 121–136. Art
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Spatially extended differential equations in a potential: On the borders of the basins of attraction related to local minima
ER.
J. Differential Equations, 166.2 (2000), pp. 347–384. Art
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Spatial unfoldings of elementary bifurcations
Pierre Coullet, ER, Nicolas Vandenberghe.
J. Stat. Phys., 101.1 (2000), pp. 521–541. Art
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Compacts connexes invariants par une application univalente
ER.
Fund. Math., 161 (1999), pp. 241–277. Art
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Linéarisation des perturbations holomorphes des rotations et applications
ER.
Mém. Soc. Math. Fr., 77 (1999), pp. 1–102. Mon
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Dynamique des perturbations holomorphes des rotations
ER.
Ph D, École Polytechnique (1996). Dis

Teaching

Links

There are nowadays so many awesome contents about teaching mathematics available online that dozens of pages would not be sufficient to list them. The following links are a personal selection of a few contents I like, among those I showed at the beginning of my lessons during academic year 2013-2014. Many other can be found following this link.

Academic year 2013-2014

Only during academic year 2013-2014 did I have the opportunity and found the time to teach maths the way I think they should be taught: as an experimental science, leaning upon pictures, drawings, videos, simulation and calculation tools, real experiments, tight connexions to mechanics, physics, chemistry, biology, social sciences, and to the real world, video captures of lessons, students kept active and regularly (weekly) controlled by an extensive use of clickers, focus on phenomena and vision rather than formalism or theorems or proofs, prohibition to "learn" anything, but encouragement to observe and try to understand the world around.

During this academic year, with undergraduate students in their second academic year (post french "baccalauréat"), equipped with a basic knowledge of one variable real analysis and linear algebra, the following subjects were treated (in about 70h of lessons and 85h of seminars):

Unfortunately, lack of time prevented us from treating exterior differential, Stokes formula, Poincaré duality, and connections to physics.

All the contents (lesson slides, tutorials, exams and corrections, video captures of lessons, links to videos and other online contents displayed during lessons, weekly mini-tests using clikers, and debrifing pdfs and videos, are available online (in french) at this address. By the way, the video captures of my lessons might be useful as a comprehensive gallery of what should NOT be done to keep a student's assembly quiet, especially on a friday afternoon…

I warmly thank all my students from this year, their enthusiasm pushed me forward during this awesome experience. And I apologize to the others (those I had the other years for undergraduate courses at INSA de Lyon) for the old-fashioned usual boring staff they endured.

Other academic years

I gave courses on the following subjects, at various graduate and undergraduate levels: