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
- Motsch,Sebastien*, Armbruster,Hans Dieter. Characterizing SpatioTemporal Patterns of Swarms. NSF-MPS-DMS(9/15/2015 - 8/31/2018).
Teaching Website
Courses
Spring 2021 | |
---|---|
Course Number | Course Title |
MAT 476 | Partial Differential Equations |
MAT 493 | Honors Thesis |
MAT 591 | Seminar |
APM 598 | Special Topics |
MAT 599 | Thesis |
APM 792 | Research |
APM 795 | Continuing Registration |
APM 799 | Dissertation |
Fall 2020 | |
---|---|
Course Number | Course Title |
MAT 492 | Honors Directed Study |
MAT 590 | Reading and Conference |
MAT 595 | Continuing Registration |
APM 792 | Research |
STP 792 | Research |
APM 799 | Dissertation |
Summer 2020 | |
---|---|
Course Number | Course Title |
MAT 275 | Modern Differential Equations |
STP 784 | Internship |
STP 792 | Research |
MAT 792 | Research |
APM 792 | Research |
Spring 2020 | |
---|---|
Course Number | Course Title |
MAT 493 | Honors Thesis |
MAT 591 | Seminar |
APM 598 | Special Topics |
MAT 599 | Thesis |
APM 792 | Research |
APM 795 | Continuing Registration |
APM 799 | Dissertation |
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 |
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).