Student Theses

23 posts

Various projects written by previous students of mine at ETH.

Eilenberg-Steenrod Axioms, Poincaré Duality and Product Structures on Symplectic Homology

Published a month ago

Formality of A-infinity-Algebras

Published 2 months ago

A quick journey from Morse theory to lagrangian quantum homology

Published 4 months ago

Weighted Cubical Persistent Homology

Published 7 months ago

Wild Spheres

Published 8 months ago

Spectral Sequences

Published 9 months ago

Hypercyclic Dynamical Systems

Published 9 months ago

Transparent Connections

Published a year ago

Symplectic Geometric Invariant Theory

Published a year ago

Topological entropy of rational maps

Published a year ago

First Steps Towards Berger's Classification Theorem

Published 2 years ago

Magnetic and Exotic Anosov Hamiltonian Structures

Published 2 years ago

Persistence Modules and Barcodes

Published 2 years ago

On an axiomatisation of differential geometry: Synthetic Differential Geometry

Published 2 years ago

Exotic 7-Spheres

Published 2 years ago

4-Manifolds and their Intersection Forms

Published 3 years ago

Products and Spectral Numbers in Novikov-Morse Homology

Published 3 years ago

Forcing relations for periodic orbits of surface homeomorphisms

Published 3 years ago

An Introduction to Complex Dynamics and the Mandelbrot Set

Published 3 years ago

Introduction to Julia Set Theory

Published 4 years ago

Morse Theory

Published 4 years ago

Interval maps and Li-Yorke chaos

Published 4 years ago

Morse homology of Lagrange multipliers via adiabatic limits

Published 4 years ago

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Courses:

Dynamical Systems Algebraic Topology Differential Geometry Student Theses Communication in Mathematics Gauge Theory Learning LaTeX Other Notes