Student Theses

30 posts

Various projects written by previous students of mine at ETH.

Structural Stability in Symplectic Dynamics

Published a month ago

Fidelity and Transversely Intersecting Lagrangians

Published a month ago

Uniqueness of Lagrangians in the Cotangent Bundle of the Projective Plane

Published a month ago

An Introduction to Sheaf Cohomology

Published a month ago

Introduction to 2-dimensional Topological Quantum Field Theory

Published a month ago

Two Proofs of the Genus Degree Formula

Published 2 months ago

Towards Homological Mirror Symmetry

Published 3 months ago

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

Published 6 months ago

Formality of A-infinity-Algebras

Published 7 months ago

A quick journey from Morse theory to lagrangian quantum homology

Published 9 months ago

Weighted Cubical Persistent Homology

Published a year ago

Wild Spheres

Published a year ago

Spectral Sequences

Published a year ago

Hypercyclic Dynamical Systems

Published a year ago

Transparent Connections

Published a year ago

Symplectic Geometric Invariant Theory

Published 2 years ago

Topological entropy of rational maps

Published 2 years 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 3 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 4 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 5 years ago

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Courses:

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