Sebastien Motsch

Biography

Sebastien Motsch' research interests focus in the mathematical modeling of biological systems and especially those which exhibit self-organization such as bacterial colonies or flock of birds. His work aims at connecting two levels of description for these systems: a microscopic viewpoint (describing each individual) and a macroscopic description (using partial differential equations). One of the many questions addressed by biological systems is to understand how local interactions among individuals lead to the formation of large structures. The derivation and analysis of macroscopic models give new insights to understand these phenomenons. Motsch’ research can be divided in three themes:
  1) derivation of macroscopic models from microscopic dynamics
  2) numerical and analytically study of the macroscopic models derived
  3) modeling of complex systems based on experimental data

Education

Ph.D. Institut de Mathematiques de Toulouse, France 2009

Research Interests

My research interests focus in the mathematical modeling of biological systems and especially those which exhibit self-organization such as a shoal of fish or a flock of birds. Using asymptotic analysis, my work aims at connecting two levels of description of these systems: a microscopic description (particle dynamics) and a macroscopic description (PDEs). One of the many questions addressed by biological systems is to understand how local interactions among individuals lead to the formation of large structures. The derivation and analysis of macroscopic models give new insights to understand these phenomenons.

My research can be divided into three main axis:

  • derivation of macroscopic models from microscopic dynamics,
  • numerical and analytically study of the macroscopic models obtained,
  • modeling of complex systems based on experimental data.

 

Software development

I develop several codes to implement large particle simulations and for the resolution of PDEs (written in Fortran or C). Data visualization (post-processing) is done using Paraview (VTK). Git repositories should be available soon.

Beside mathematics, I am also involved (in my free time) on the development of a smartphone app called Virtual plan 3D in partnership with the French company construireonline. The app allows to visualize a house plan in 3D using augmented reality.

Research Activity

Teaching Website

Courses

Fall 2019
Course Number Course Title
MAT 342 Linear Algebra
MAT 492 Honors Directed Study
APM 576 Theory of PDE I
MAT 590 Reading and Conference
MAT 595 Continuing Registration
MAT 599 Thesis
APM 792 Research
MAT 792 Research
STP 799 Dissertation
Summer 2019
Course Number Course Title
MAT 371 Advanced Calculus I
MAT 792 Research
APM 792 Research
Spring 2019
Course Number Course Title
MAT 371 Advanced Calculus I
MAT 493 Honors Thesis
MAT 591 Seminar
APM 598 Special Topics
MAT 599 Thesis
APM 792 Research
APM 799 Dissertation
Fall 2018
Course Number Course Title
MAT 423 Numerical Analysis I
MAT 492 Honors Directed Study
MAT 590 Reading and Conference
MAT 591 Seminar
MAT 599 Thesis
MAT 792 Research
APM 792 Research
Summer 2018
Course Number Course Title
APM 792 Research
Spring 2018
Course Number Course Title
MAT 493 Honors Thesis
APM 577 Theory of PDE II
MAT 599 Thesis
APM 792 Research
Fall 2017
Course Number Course Title
MAT 475 Differential Equations
MAT 492 Honors Directed Study
APM 576 Theory of PDE I
MAT 599 Thesis
MAT 792 Research
APM 792 Research
Summer 2017
Course Number Course Title
APM 792 Research
Spring 2017
Course Number Course Title
MAT 425 Numerical Analysis II
MAT 493 Honors Thesis
APM 792 Research
Fall 2016
Course Number Course Title
MAT 475 Differential Equations
MAT 492 Honors Directed Study
APM 501 Differential Equations I
MAT 792 Research
APM 792 Research
Summer 2016
Course Number Course Title
MAT 592 Research
MAT 599 Thesis
APM 792 Research
Spring 2016
Course Number Course Title
MAT 425 Numerical Analysis II
MAT 499 Individualized Instruction
Fall 2015
Course Number Course Title
MAT 475 Differential Equations
APM 501 Differential Equations I
Spring 2015
Course Number Course Title
MAT 425 Numerical Analysis II

Presentations

  • Sebastien Motsch. Mathematical Models for Social Sciences. International conference (Dec 2014).
  • Sebastien Motsch. Modeling and Control in Social Dynamics. International conference (Oct 2014).
  • Sebastien Motsch. Multiscale kinetic and fluid problems: asymptotic analysis, modeling and numerical simulations. International conference (Sep 2014).
  • Sebastien Motsch. AIMS Conference on Dynamical Systems, Differential Equations and Applications. AIMS conference (Jul 2014).
  • Sebastien Motsch. Continuum Models Discrete Systems. International conference (Jul 2014).
  • Sebastien Motsch. International conference on Hyperbolic problems: Theory, Numerics, Applications. International conference (Jul 2014).
  • Sebastien Motsch. Kinetics, non standard diffusions and stochastics: emerging challenges in the sciences. International conference (May 2014).
  • Sebastien Motsch. Collective Behavior: Macroscopic versus Kinetic Descriptions. International conference (May 2014).
  • Sebastien Motsch. Classical and Quantum Mechanical Models of Many-Particle Systems. Oberwolfach workshop (Dec 2013).
  • Sebastien Motsch. AMS Southeesten Sectional Meeting. AMS meeting (Oct 2013).
  • Stephan Martin, S�bastien Motsch, Thomas Rey, Changhui Tan. KI-Net conference: Kinetic and macroscopic models for complex systems. KI-Net conference (Oct 2013).
  • Sebastien Motsch. International conference on conservation laws & applications. International conference (Jul 2013).
  • Sebastien Motsch. Conference on Frontiers in Applied and Computational Mathematics. International conference (Jun 2013).
  • Sebastien Motsch. Siam conference on Applications of dynamical systems. SIAM conference (May 2013).
  • Sebastien Motsch. Animal Swarms. International conference (Feb 2013).
  • Sebastien Motsch. Kinetic theory for the emergence of complex behavior in social and economic systems. KI-Net conference (Feb 2013).
  • Alina Chertock, S�bastien Motsch, Beno�t Perthame, Eitan Tadmor. Transport Models for Collective Dynamics in Biological Systems. KI-Net conference (Jan 2013).