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Ideas for topics for Masters' and Bachelor projects

Resources for students writing projects

Rus oplæg 2018

Courses

2019, Spring
Geometry on groups
2018, Spring
Geometry
2017, Autumn
Geometry on groups
2017, Spring
Geometry
2016, Autumn
Curvature flows for curves and surfaces
Introduction to topology
2016, Spring
Geometry
Riemannian geometry
2015, Autumn
Geometry on groups
2015, Spring
Geometry
Introduction to gauge theory
2014, Autumn
Curvature flows for curves and surfaces
2014, Spring
Geometry
Cohomology and homotopy theory
2013, Autumn
Riemannian geometry
2013, Spring
Geometry
Knot theory
2012, Autumn
Riemannian holonomy
2012, Spring
Geometry
Riemannian geometry
2011, Autumn
Introduction to topology

Recent student projects

Bachelor Projects

  • Parallel transport and holonomy (2017)
  • Hopf-Rinow Theorem (2017)
  • Genus of knots (2016)
  • Hyperbolic tesselation and Poincaré's polygon theorem (2016)
  • Geodesics and the Hopf-Rinow theorem (2015)
  • Gauss' linking number and Calugareanus' theorem (2015)
  • The Gauss-Bonnet theorem for compact surfaces (2015)
  • Surfaces of constant mean curature (2015)
  • Smooth manifolds and the Poincaré-Hopf theorem (2015)
  • Minimal surfaces in space and the strong halfspace theorem (2014)
  • Frobenius' theorem (2014)
  • Classification of topological manifolds and the 3-dimensional Poincaré homology sphere/ (2014)
  • Hilbert's theorem for surfaces in space (2014)
  • Knot theory: the Conway polynomial in two variables (2013)
  • Symplectic geometry, moment maps and the Marsden-Weinstein quotient (2012)
  • Minimal surfaces in R3: Weierstrass representations and Costa's surface (2012)

Masters Projects

  • Evolution of smooth, strictly convex curves undergoing homogeneous expansion curvature flows (2018)
  • Classification of non-compact toric symplectic manifolds via manifolds with corners (2018)
  • Strominger's system on complex Lie groups (2017)
  • Projective special real geometries (2016)
  • Hermitian structures and cohomogeneity one spaces of dimension 4 and 6 (2016)
  • Lie algebra with a stably Ricci diagonal basis (2015)
  • Seifert surfaces and alternating links (2015)
  • Invariants for Legendre links in R3 (2014)

Ph.D.

See my research page.

Author: Andrew Swann

Created: 2018-08-22 Wed 15:23

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