Teaching
In the fall term 2025 I teach Mathematik III: Partielle Differentialgleichungen (PDEs)
In the academic year 2024/2025 I give the lectures
- Analysis I: eine Variable (for students in mathematics, physics and interdisciplinary sciences)
- Analysis II: mehrere Variablen (for students in mathematics, physics and interdisciplinary sciences)
Apart from the above currect lectures, I regularly teach Mathematik I / II (Humanmedizin) (D-HEST) and Grundlagen der Mathematik I, Analysis A / B (D-CHAB).
Information about these and other past lectures and seminars (e.g. student seminars "Elliptic partial differential equations", "Topics in harmonic analysis" or "Products and nonlinearities in function space theory") can be found here
Supervised Bachelor thesis, Master thesis and Term papers
- Evolutionary dynamics on graphs
- The Hodgkin-Huxley Model and Its Extensions
- Analyzing a Mathematical Model of the Triplex Vaccine Effects in Mammary Carcinoma
- Statistical Modelling in Biological Age Estimation
- Semindefinite programming and applications to biology
- AI-assistend grading of math exercises (im collaboration with D-INFK)
- Emergent Behaviour in Dynamical Systems
- Modelling Population Dynamics: Theory and Applications
- Reaction-diffusion models in the context of brain tumours
- Mathematics Education - Principles of Productive Failure at the assessment level (co-supervision of a doctoral student in my project Principles of Productive Failure at the assessment level, part of the ETH+ Project Future Learning Initiative (initiated by Prof. Dr. Manu Kapur)
- Reaction diffusion equations in virus evolution
- Parameter Estimation by regularized Inverse Problem
- Modelling chemoresistance in cancer treatments: an Adaptive Dynamics approach (in collaboration with Sapienza Università di Roma)
- Probabilistic modelling of CAR-T-cells with Restricted Boltzmann Machines (in collaboration with IBM)
- From γ-convergence to minimizing movements of quasi-open sets and capacitary measures
- A classical introduction to quantum tunneling (for D-CHAB)
- Existence and Regularity Criteria of Weak Solutions to the Navier-Stokes Equations
- Analysis of a mathematical model for brain tumor response to radiation therapy
- Infectious diseases: From the reproduction number to optimal control
- Mathematical Analysis of Generalized Chemostat Models of Microbial Communities (in collaboration with D-BSSE)
- Modelling, stability analysis, parameter estimates and simulations in cancer research (immunology)
- The Bertalanffy model with delay for tumours
- An Introduction to Graph Kernels and their Applications in Mathematical Biology
- An Introduction to Stochastic Differential Equations with an Application to Biology
- Solutions to the Navier-Stokes equations for incompressible flows via energy methods
- Calculus of Variations: Existence Theorems and their Applications
- Random trees: Theory and Application to Mathematical Oncology (in collaboration with D-BSSE)
- Analysis of Mathematical Models of Tumour Growth
- Modelling Tumor Growth: Theory and Applications
- Mathematical aspects of infectious diseases
- Application of complex analysis to fluid mechanics
Note
If you are interested in writing a term paper, Bachelor or Master thesis in the direction of Mathematical Biology, Geometric Analysis or classical PDEs please contact me.
Note furthermore that at present, theses in didactics are only possible in collaboration with the research group of Learning and Instruction at D-GESS or the Statistics Group at D-MATH.