Sommer 2024

  • Cross-diffusion systems with entropy structure (mini-course, Kyoto University, Japan)
  • Multi-species populations: interacting particles, cross diffusion, and entropies (mini-course, CIRM Marseille, France)

Winter 2023

  • Partielle Differentialgleichungen (Lecture)
  • Partial differential equations for chemotaxis (Seminar)
  • PDE Afternoon (PhD Seminar)

Summer 2023

  • Variationsrechnung (Lecture)
  • PDE Afternoon (PhD Seminar)
  • Anwendungsgebiete der Mathematik: Modellierung des Tumorwachstums (lecture series, lecture slides (PDF))

Winter 2022

  • Computational Finance (Lecture)
  • PDE Afternoon (PhD Seminar)
  • Cross-diffusion systems with entropy structure (mini-course, Lecture Notes (PDF))

Summer 2022

  • Nichtlineare partielle Differentialgleichungen (Lecture)
  • Anwendungsgebiete der Mathematik: Modellierung des Tumorwachstums (lecture series, lecutre slides (PDF))
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)

Winter 2021

  • Partielle Differentialgleichungen (Lecture)
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)

Summer 2021

  • Variationsrechnung (Vorlesung)
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)
  • Anwendungsgebiete der Mathematik: Modellierung des Tumorwachstums (lecture series)

Winter 2020

  • Computational Finance (Lecture)
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)
  • Entropy methods for diffusion equations (mini-course, lecture slides (PDF))

Summer 2020

  • Nichtlineare partielle Differentialgleichungen (Lecture)
  • Anwendungsgebiete der Mathematik: Modellierung des Tumorwachstums (lecture series, lecture slides (PDF))
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)

Winter 2019

  • Partielle Differentialgleichungen (Lecture)
  • Partielle Differentialgleichungen und Netzwerke (Seminar)
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)

Summer 2019

  • Variationsrechnung (Lecture)
  • Anwendungsgebiete der Mathematik: Modellierung des Tumorwachstums (lecture series, lecture slides (PDF))
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)

Winter 2018

  • Computational Finance (Lecture)
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)

Summer 2018

  • Nichtlineare partielle Differentialgleichungen (Lecture)
  • Anwendungsgebiete der Mathematik: Modellierung des Tumorwachstums (lecture series, lecture slides (PDF))
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)

Winter 2017

Summer 2017

  • Variationsrechnung (Lecture)
  • Anwendungsgebiete der Mathematik: Modellierung des Tumorwachstums (lecture series, lecture slides (PDF))
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)

Winter 2016

  • Entropy methods in PDEs and stochastic processes (Seminar)
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)

Summer 2016

  • Nichtlineare partielle Differentialgleichungen (Lecture)
  • Entropiemethoden für Diffusionsgleichungen (Seminar)
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)

Winter 2015

  • Partielle Differentialgleichungen (Lecture), Evaluation (PDF)
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)

Summer 2015

  • Variationsrechnung (Lecture)
  • Computational Finance (Seminar)
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)
  • Entropy dissipation methods in diffusion equations (summer school), slides (PDF)

Winter 2014

  • Höhere Analysis für Lehramtsstudierende (Lecture, Exercises),
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)
  • Entropy methods for PDEs and stochastic processes (Seminar with Arnold, Beiglböck, Schachermayer, Schmeiser)

Summer 2014

  • Nichtlineare partielle Differentialgleichungen (Lecture)
  • The Digit Challenge (Seminar), Exercises (PDF), Solutions (PDF)
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)
  • Entropy methods for PDEs and stochastic processes (Seminar with Arnold, Beiglböck, Schachermayer, Schmeiser)

Winter 2013

  • Partielle Differentialgleichungen (Lecture), Evaluation (PDF)
  • Dissipation and Dispersion in Nonlinear Partial Differential Equations (PhD Seminar)
  • Entropy methods for PDEs and stochastic processes (Seminar with Arnold, Beiglböck, Schachermayer, Schmeiser)

Summer 2013

  • Variationsrechnung (Lecture), Evaluation (PDF)
  • Differentialgleichungen in der Biologie und Physik (Seminar)

Winter 2012

  • Kinetic and macroscopic equations for semiconductors (lecture series at TU Munich, Lecture Notes (PDF))

Summer 2012

  • Nichtlineare partielle Differentialgleichungen (Lecture)
  • Diffusive und dispersive Effekte in nichtlinearen partiellen Differentialgleichungen (Seminar)
  • Entropy dissipation methods for nonlinear PDEs (Spring School, Bielefeld, Lecture Notes (PDF))

Winter 2011

Summer 2011

  • Variationsrechnung (Lecture), Evaluation (PDF)
  • Nichtlineare Schrödinger-Gleichung (Seminar)
  • Anwendungsgebiete der Mathematik: Nanotechnologie (lecture series (PDF))
  • Kinetic and macroscopic models for semiconductors (MathNanoSci Summer School, slides (PDF))

Winter 2010

Summer 2010

  • Nichtlineare partielle Differentialgleichungen (Lecture),
  • Differentialgleichungen in der Biologie und Chemie (Bachelor-Seminar), Seminarthemen (PDF)
  • Kinetic and moment models for semiconductors (Summer School on Methods and Models of Kinetic Theory)

Winter 2009

  • Partielle Differentialgleichungen (Lecture), Evaluation (PDF)
  • Computational Finance (Seminar)

Summer 2009

  • Variationsrechnung (Lecture), Evaluation (PDF)
  • Transportgleichungen in der Biologie (Seminar)
  • Quantum semiconductor modeling (MathNanoSci Summer School, slides (PDF))

Winter 2008

Sabbatical

Summer 2008

  • Nichtlineare partielle Differentialgleichungen (Lecture)
  • The Digit Challenge (Seminar): Exercises (PDF), Solutions (PDF)
  • Macroscopic semiconductor models and electric circuits (MOMINE 08 Summer School, slides (PDF))

Winter 2007

  • Partielle Differentialgleichungen (Lecture), Evaluation (PDF)
  • Numerik für die Schrödinger-Gleichung (Seminar)

Summer 2007

  • Mathematische Modellierung von Industrieproblemen (Lecture with exercises)
  • Entropy-entropy dissipation techniques for nonlinear higher-order PDEs (mini course)