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Thomas Sharpe

Mr Thomas Sharpe

PhD Student

Research interests

  • Mathematics

Contact details

Biography

Tom took his undergraduate master's degree in mathematics at the University of Oxford, graduating in 2017. His master's dissertation, which concerned hyperbolic knot complements, was supervised by Professor Marc Lackenby. Tom joined the London School of Geometry and Number Theory (LSGNT) – a Centre for Doctoral Training jointly run by King's, UCL and Imperial College London – in 2018, and fully enrolled onto the PhD programme at King's in 2019, under the supervision of Professor Dmitri Panov.

Thesis

Polyhedral Manifolds

Research interests

  • Polyhedral manifolds—triangulated manifolds with a choice of Euclidean metric on each simplex, defining a flat metric with conical singularities on the whole space. Particular interest in polyhedral manifolds with lattice-preserving holonomy
  • Polyhedral and discrete geometry, metric geometry, Riemannian geometry, and geometric topology
  • A side interest in the theory of elliptic curves

PhD supervision

Further information

Research profile

Personal webpage

Research

hexagon-3392236_1920
Geometry

Members of the Geometry Group carry out research on topics within the following areas: algebraic geometry, cohomology theories, differential geometry, geometric analysis, homogeneous space, Lie groups, mirror symmetry, and symplectic geometry.

Research

hexagon-3392236_1920
Geometry

Members of the Geometry Group carry out research on topics within the following areas: algebraic geometry, cohomology theories, differential geometry, geometric analysis, homogeneous space, Lie groups, mirror symmetry, and symplectic geometry.