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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: 
Fall 2020
Course NumberCourse Title
MAT 492Honors Directed Study
MAT 590Reading and Conference
MAT 595Continuing Registration
APM 792Research
STP 792Research
APM 799Dissertation
Summer 2020
Course NumberCourse Title
MAT 275Modern Differential Equations
STP 784Internship
STP 792Research
MAT 792Research
APM 792Research
Spring 2020
Course NumberCourse Title
MAT 493Honors Thesis
MAT 591Seminar
APM 598Special Topics
MAT 599Thesis
APM 792Research
APM 795Continuing Registration
APM 799Dissertation
Fall 2019
Course NumberCourse Title
MAT 342Linear Algebra
MAT 492Honors Directed Study
APM 576Theory of PDE I
MAT 590Reading and Conference
MAT 595Continuing Registration
MAT 599Thesis
APM 792Research
MAT 792Research
STP 799Dissertation
Summer 2019
Course NumberCourse Title
MAT 371Advanced Calculus I
MAT 792Research
APM 792Research
Spring 2019
Course NumberCourse Title
MAT 371Advanced Calculus I
MAT 493Honors Thesis
MAT 591Seminar
APM 598Special Topics
MAT 599Thesis
APM 792Research
APM 799Dissertation
Fall 2018
Course NumberCourse Title
MAT 423Numerical Analysis I
MAT 492Honors Directed Study
MAT 590Reading and Conference
MAT 591Seminar
MAT 599Thesis
MAT 792Research
APM 792Research
Summer 2018
Course NumberCourse Title
APM 792Research
Spring 2018
Course NumberCourse Title
MAT 493Honors Thesis
APM 577Theory of PDE II
MAT 599Thesis
APM 792Research
Fall 2017
Course NumberCourse Title
MAT 475Differential Equations
MAT 492Honors Directed Study
APM 576Theory of PDE I
MAT 599Thesis
MAT 792Research
APM 792Research
Summer 2017
Course NumberCourse Title
APM 792Research
Spring 2017
Course NumberCourse Title
MAT 425Numerical Analysis II
MAT 493Honors Thesis
APM 792Research
Fall 2016
Course NumberCourse Title
MAT 475Differential Equations
MAT 492Honors Directed Study
APM 501Differential Equations I
MAT 792Research
APM 792Research
Summer 2016
Course NumberCourse Title
MAT 592Research
MAT 599Thesis
APM 792Research
Spring 2016
Course NumberCourse Title
MAT 425Numerical Analysis II
MAT 499Individualized Instruction
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, Sébastien 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, Sébastien Motsch, Benoît Perthame, Eitan Tadmor. Transport Models for Collective Dynamics in Biological Systems. KI-Net conference (Jan 2013).