If you are an ETH student interested in doing a

BSc thesis

MSc thesis

Semester project

Reading course

then feel free to use the "Contact Me" form on my homepage. For MSc theses, *you must have a strong background in differential geometry*.

**I am fully booked until January 2020 though! **

### Previous students:

Kathrin Naef: The Gysin Sequence in Morse Homology

*(MSc thesis, 2013)*Mads Bisgaard: On Hamiltonian flows which do not admit conjugate points

*(Semester project, Spring 2014)*Mads Bisgaard: The intersection product on Morse-Bott homology

*(MSc thesis, 2015)*Grace Mwakyoma: A link between Hofer’s Geometry and Aubry-Mather Theory

*(MSc thesis, 2015)*Florian Zeiser: Morse homology of Lagrange multipliers via adiabatic limits

*(MSc thesis, 2016)*Davide Dandrea: Low-Energy Closed Orbits in the Restricted Three-Body Problem: a Proof of Existence

*(BSc thesis, Spring 2017)*Arnaud Maret: Interval maps and Li-Yorke chaos

*(Semester project, Spring 2017)*Alessio Pellegrini: Morse theory

*(Reading course, Spring 2017)*Kthim Imeri: Introduction to Julia Set Theory

*(Semester project, Spring 2017)*Florian Rossmannek: An Introduction to Complex Dynamics and the Mandelbrot Set

*(BSc thesis, Autumn 2017)*Kathrin Naef: Translated points on dynamically convex contact manifolds

*(PhD, 2014–2018)*Arnaud Maret: Forcing relations for periodic orbits of surface homeomorphisms

*(MSc thesis, 2018)*Niclas Küpper: 4-Manifolds and their Intersection Forms

*(BSc thesis, Spring 2018)*Alessio Pellegrini: Products and Spectral Numbers in Novikov-Morse Homology

*(MSc thesis, 2018)*Gilles Englebert: Axiomatic Morse Homology

*(BSc thesis, Spring 2018)*Malcolm Cameron: Exotic 7-Spheres

*(BSc thesis, Spring 2018)*Sylvain Rossi: Synthetic Differential Geometry

*(BSc thesis, Spring 2019)*David Lanners: Persistence Modules and Barcodes

*(BSc thesis, Spring 2019)*Florian Rossmannek: Magnetic and Exotic Anosov Hamiltonian Structures

*(MSc thesis, 2019)*

### Current students:

Alessio Pellegrini:

*(PhD, Autumn 2018+)*Oliver Edtmair

*(MSc thesis, 2018)*Shaowu Zhang: Floer homology (

*Reading course, Spring 2019)*Ana Zegarac: Riemannian manifolds with special holonomy

*(Semester project, Spring 2019)*

Below are some of the projects I’ve supervised over the past couple of years (uploaded here with their author's consent!)

## Magnetic and Exotic Anosov Hamiltonian Structures

Here is a thesis written by Florian Rossmannek. *(MSc thesis, 2019)*

Here is a thesis written by David Lanners. *(BSc thesis, Spring 2019)*

## Persistence Modules and Barcodes

Here is a thesis written by Sylvain Rossi. *(BSc thesis, Spring 2019)*

## On an axiomatisation of differential geometry: Synthetic Differential Geometry

## Exotic 7-Spheres

Here is a thesis written by Malcolm Cameron. *(BSc thesis, Spring 2019)*

## Products and Spectral Numbers in Novikov-Morse Homology

Here is a thesis written by Alessio Pellegrini. *(MSc thesis, 2018)*

Here is a thesis written by Gilles Englebert. *(BSc thesis, Spring 2018)*

## Axiomatic Morse Homology

Here is a thesis written by Niclas Küpper. *(BSc thesis, Spring 2018)*

## 4-Manifolds and their Intersection Forms

Here is a thesis written by Arnaud Maret. *(MSc thesis, 2018)*

## Forcing relations for periodic orbits of surface homeomorphisms

Here is a thesis written by Florian Rossmannek. *(BSc thesis, Autumn 2017)*

## An Introduction to Complex Dynamics and the Mandelbrot Set

Here are notes written by Alessio Pellegrini on Morse Theory. (*Reading course, Spring 2017)*

## Morse Theory

Here is a thesis written by Kthim Imeri. *(Semester project, Spring 2017)*

## Introduction to Julia Set Theory

## Interval maps and Li-Yorke chaos

Here is a thesis written by Arnaud Maret. *(Semester project, 2017)*