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Technische Universität München

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Teaching

Lectures and seminars

Please see the individual homepages for previous teaching activities.

BSc and MSc theses

2025

  • Gasslitter Strobl, Max: Coarse-graining Hamiltonian Dynamics to Thermodynamic Systems (Supervisor: Johannes Zimmer)
  • Saurbier, Magnus: Explicit Methods for Time Integration with Extended Stability Domain (Supervisor: Johannes Zimmer, jointly with Dirk Zimmer, Deutsches Zentrum für Luft- und Raumfahrt)
  • Pfannschmidt, Constantin: An Existence Criterion for Dual Variational Principles (Supervisor: Johannes Zimmer)
  • Schaller, Maximilian: Mathematische Modellierung einer Waldfläche durch ein System partieller Differentialgleichung (Supervisor: Andreas Johann)
  • Wolf, Thomas: Oszillationen in einem Modell für die Produktion weißer Blutzellen mit mehreren Differenzierungsstufen (Supervisor: Andreas Johann)
  • Lari, Nina Maria: Analysis of Population Dynamics in Bee Colonies by Differential Equations (Supervisor: Christina Kuttler)
  • Doctor, Sebastian: The Profile Likelihood Method for Parameter Inference in PDE Models for Cell Invasion (Supervisors: Veronika Hofmann, Christina Kuttler)
  • Mader, Julia: Mathematical Analysis of a Glioma Tumor Growth Model under the Migration-Proliferation Dichotomy (Supervisor: Christina Kuttler)
  • Jia, Hanjun: Stability Analysis of Rosenzweig-Macarthur Model Modified with Holling Type I, II and III (Supervisor: Christina Kuttler)

2024

  • Huang, Marvin: Deep Limits von Residual Neural Networks und deren Verbindung zu gewöhnlichen DIfferentialgleichungen (Supervisor: Andreas Johann)
  • Blomeier, Michaela: Mathematical Modelling of Glucose Intolerance Tests and Glucose-insulin Dynamics (Supervisor: Christina Kuttler)
  • Fritz, Julia: Zwei mathematische Modelle für das Aufschütten von granularem Material am Beispiel von Sand (Supervisor: Christina Kuttler)
  • Lother, Emma: Mathematical Modelling of Tumour Growth: The Gompertz Model, its Dynamics and Simulations (Supervisor: Christina Kuttler)
  • Schachinger, Laura: The Lotka-Volterra Predator-Prey Model: Theoretical Analysis and Case Study of a Three Species Food Web with Toxin (Supervisor: Christina Kuttler)
  • Maresch, Charleen: Mathematical Modelling and Time Scale Analysis of Quorum Sensing in Pseudomonas (Supervisor: Christina Kuttler)
  • Krüger, Leonie: Deterministische Modellierungsansätze für die quantitative PCR (Supervisor: Christina Kuttler)
  • Dichgans, Jakob: More Reliable Early Warning Signals for Climate Tipping Points Using the Ratio of Spectra Method (ROSA) (Supervisors: Niklas Boers, Christina Kuttler)
  • Schwefel, David: Mathematical Modelling of Atherosclerosis (Supervisor: Christina Kuttler)
  • Negele, Linus: Mathematical Modelling of Cancer Invasion Using a General Reaction-Diffusion Model (Supervisor: Christina Kuttler)
  • Zaus, Simon: Die dynamische Entwicklung antibiotikaresistenter Erreger in einer Menschenpopulation (Supervisor: Christina Kuttler)

2025

  • Galani, Maria: Conditionally Invariant Measures for Random Dynamical Systems (Supervisor: Johannes Zimmer)
  • Pelan, Gavin Edward: The Jacobs-de Leeuw-Glicksberg Decomposition of Strongly Continuous Semigroups (Supervisor: Johannes Zimmer)
  • Li, Yuanyu: Mathematical Models of Bacterial Communication - Aspects of the Interplay between Antibiotics Treatment and Quorum Sensing (Supervisor: Christina Kuttler)
  • Schmid, Julius: The COVID-19 Pandemic in Its Omicron Phase: Comparing the Seroprevalence in Munich with the Infectious Events in Luxembourg (Supervisors: Noemi Castelletti, Christina Reinkemeyer, Christina Kuttler)
  • Wang, Zixuan: Dyamics of Glucose-Insulin System with Michaelis-Menten Form of Insulin Degradation (Supervisor: Christina Kuttler)
  • Kasper, Oliver: Investigating the Bistability Hypothesis in Savanna-Forest Ecosystems (Supervisor: Christina Kuttler)
  • Ortulidis-Pflanz, Paul: A Mathematician’s Perspective on Precision Oncology (Supervisor: Christina Kuttler)
  • Raihana, Nafisa: Mathematical Modeling of Quorum Sensing in Vibrio Fischeri: From Bistability to Turing Pattern Formation (Supervisor: Christina Kuttler)
  • Veneri, Giacomo: Implementation of a Physics Informed Neural Operator for Predictions in the Marshall, Molteni Quasigeostrophic Atmsopheric Model (Supervisors: Niklas Boers, Christina Kuttler)
  • Gül, Ebru: Sparse Model Selection with SINDy for Quorum-Sensing Gene Regulation (Supervisor: Christina Kuttler)
  • Lang, David: Climate Change and Forest Ecosystems: A Lotka-Volterra Modeling-Approach (Supervisors: Gustav Strandberg, Christina Kuttler)
  • Lucker, Amelie: Modeling the Dynamics of Oncolytic Virotherapy - An ODE and PDE Approach for the Novel rVSV-NDV Investigating Different Injection Strategies (Supervisor: Christina Kuttler)

2024

  • Struß, Conrad: Hydrodynamische Limiten und ihre physikalische Interpretation am Beispiel des symmetrischen Exklusionsprozesses (Supervisor: Johannes Zimmer)
  • Hartwig, Felix: Reduktion der Hertzsche Pressung bei Stirnräder durch Optimierung der Eingriffsfläche (Supervisor: Andreas Johann)
  • Euringer, Maximilian: Die Navier-Stokes-Gleichungen (Supervisor: Andreas Johann)
  • Hofmann, Veronika: Cell Invasion Models: How Complex do They Need to Be? (Supervisor: Christina Kuttler)
  • Kullelioğlu, Aslıhan: The Impact of Seasonality and Public Health Campaigns on Pediatric Vaccination Dynamics (Supervisors: Pirmin Schlicke, Christina Kuttler)
  • Weyh, Paulina: Identification of Copy Number Variations from Single-Cell Multiome Data (Supervisors: Maria Colomé-Tatché, Aikaterini Symeonidi, Christina Kuttler)
  • Zhang, Jiawen: Modeling a Predator-Prey System Using a Machine Learning Algorithm (Supervisors: Samuel Subbey, Anna Frank, Christina Kuttler)
  • Schwarzmeier, Leander: Mathematical Modelling of Bacterial Quorum Sensing Incorporating Flow and Topography (Supervisor: Christina Kuttler)
  • Zurek, Felix: Data-Based Risk Analysis of Cow-Machine Contacts and Their Modelling (Supervisors: Renate Dörfler, Christina Kuttler)
  • Guillaumin, Manon: Mathematical Modeling of Stage-Structured Population Dynamics in Ticks: Analysis of a Temperature Dependent Model (Supervisor: Christina Kuttler)
  • Liziakina, Polina: Mathematical Modelling and Simulation for Bacterial Swarming (Supervisor: Christina Kuttler)
  • Reisinger, Jakob: The Impact of Time-Correlated Noise on Rate-Induced Tipping with an Application to the Atlantic Meridional Overturning Circulation (Supervisors: Niklas Boers, Andreas Morr, Christina Kuttler)
  • Löthgren, Edvin: Verifying and Introducing New Elements to Mean-Field Model of the
    Co-evolution of Climate Impact and Population Behaviour (Supervisors: Kristian Bjerklöv, Christina Kuttler) 

Books

Brokate/Zimmer/Lindemann - Analysis 1

Brokate, M., Zimmer, J., Lindemann, F.

Analysis 1

Ein zuverlässiger und verständlicher Begleiter für Studium und Prüfung

Springer Spektrum (2023)

https://doi.org/10.1007/978-3-662-67776-6

Brokate, M., Zimmer, J., Lindemann, F.

Analysis 2

Differentialrechnung im Mehrdimensionalen

Springer Spektrum (2025)

https://link.springer.com/book/9783662711408

de Vries, G., Hillen, T., Lewis,M., Müller, J., Schönfisch, B.

A Course in Mathematical Biology

Quantitative Modeling with Mathematical and Computational Methods

SIAM (2006)

https://doi.org/10.1137/1.9780898718256

Hadeler, K.-P., Müller, J.

Cellular Automata: Analysis and Applications

Springer (2017)

https://doi.org/10.1007/978-3-319-53043-7

Hösel, V., Kuttler, C., Müller, J.

Mathematical Population Genetics and Evolution of Bacterial Cooperation

World Scientific (2020)

https://doi.org/10.1142/11419

Johann, A. Sidorenko, I., Burdo, O.

Höhere Mathematik auf Deutsch und Ukrainisch
Вища математика нiмецькою та українською мовами

Band 1: Grundlagen und Lineare Algebra
Том 1: Основнi поняття та лiнiйна алгебра

Springer Spektrum (2025)

https://doi.org/10.1007/978-3-662-71575-8

Müller, J., Hösel, V., Tellier, A., Mohamad-Klotzbach, C.

Dynamics of Democratic Elections

A Mathematical Approach to Political Science

Chapman and Hall/CRC (2025)

https://doi.org/10.1201/9781003494447

Müller, J., Kuttler, C.

Methods and Models in Mathematical Biology

Deterministic and Stochastic Approaches

Springer (2015)

https://doi.org/10.1007/978-3-642-27251-6

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