Minicourses

Summer 2026

Minicourse on Stochastic modeling of microswimmers

Lectures at the Department of Mathematics, University of Wisconsin—Madison, May 11–13, 2026.

Summer 2025

Minicourse on Differential geometry in continuum mechanics

Lectures at the Department of Mathematics, University of Wisconsin—Madison, May 13–14, 2025.

Lecture: A practical introduction to stochastic modeling of particles

Lecture at CoPart CoFlow: Complex particle transport in complex flows, La Londe les Maures, France, June 20, 2025.

Summer 2024

Minicourse on Introduction to the stochastic modeling of particles

Lectures at the Department of Mathematics, University of Wisconsin—Madison, May 20–24, 2024.

05/20 morning: "Beyond Ito vs Stratonovich"

05/20 afternoon: "Overdamped dynamics, part 1"

05/21 morning: "Overdamped dynamics, part 2: the ABBA equation"

05/21 afternoon: "Overdamped dynamics, part 3"

05/22 morning: "Rigid body dynamics, part 1"

05/22 afternoon: "Rigid body dynamics, part 2"

05/23 morning: "Hydrodynamic force and torque on a particle, part 1"

05/23 afternoon: "Hydrodynamic force and torque on a particle, part 2"

05/24 morning: "Overdamped limit of the active Brownian particle model, part 1"

05/24 afternoon: "Overdamped limit of the active Brownian particle model, part 2"

Spring 2022

Rio: Lectures on Braids and Dynamics

Lectures at Instituto de Matemàtica, Universidade Federal do Rio de Janeiro, May 3–12, 2022.

Lecture 1: Mappings of the torus

Lecture 2: From the torus to the disk

Lecture 3: Braids

Lecture 4:

All four lectures in one file: [pdf]

Summer 2019

Minicourse on The unified transform method

Some partial notes .

Lecture 1: Introduction; Steps 1 and 2

Lecture 2: Step 3; Vanishing terms

Lecture 3: A third-order example; Final thoughts

References

Archive of papers that use the Uniform Transform Method (maintained until 2014).

Minicourse on An introduction to stochastic modeling of particle transport

Lectures at The Summer School On Fluids & Health 2019: Fluid Dynamics Of Disease Transmission, Cargèse, Corsica, July 24–25, 2019.

Summer 2018

Minicourse on Exit time problems for swimming microorganisms

All lectures in one file.

Lecture 1: Drift and diffusion

Lecture 2: The mean exit time equation

Lecture 3: Examples of exit time calculations

Lecture 4: The swimming Brownian needle

Lecture 5: Introduction to stochastic calculus

Lecture 6: The Fokker–Planck equation

Summer 2017

Ilmenau

Summer 2016

Lectures at ICTS Summer Research Program on Dynamics of Complex Systems

Lecture 1: Stirring and mixing

Lecture 2: Filament model and effective diffusivity (Matlab example files: [zip] [tar.gz])

Lecture 3: Stirring by swimming organisms, part 1

Lecture 4: Stirring by swimming organisms, part 2

Summer 2015

ICERM: Lectures on Topological Surface Dynamics

Lectures at the Summer Program on Computational Dynamics and Topology at ICERM, Brown University, Providence, RI, 14–16 July 2015

All three lectures in one file: [pdf]

Summer 2010

Woods Hole GFD Lectures: Swimming and Swirling in Turbulence

All lectures in one file: [pdf] [djvu]

Lecture 1: Stirring and mixing [pdf] [djvu] (Matlab example files: [zip] [tar.gz])

Lecture 2: Stirring by swimming organisms [pdf] [djvu] (Slides: [pdf] [djvu])

Lecture 3: Local stretching theories [pdf] [djvu]

Lecture 4: Mixing in the presence of sources and sinks [pdf] [djvu] (Slides: [pdf] [djvu]) (Matlab example files: [zip] [tar.gz])

Spring 2010

IMA Tag Team Tutorials: Transport and Mixing in Incompressible Flows

All lectures in a single file [pdf] [djvu]

Lecture 1: Stirring and Mixing [pdf] [djvu]

Lecture 2: Linear Flows [pdf] [djvu]

Lecture 3: Effective Diffusivity [pdf] [djvu] (Matlab example files: [zip] [tar.gz])

Lecture 4: Stochastic Models (part 1) [pdf] [djvu]

Lecture 5: Stochastic Models (part 2) [pdf] [djvu]

Lecture 6: Topological Mixing [pdf] [djvu]