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Daniel Mathews

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Theses

PhD Thesis

On August 21, 2009 I submitted my thesis “Chord diagrams, contact-topological quantum field theory, and contact categories” at Stanford. A pdf is available, as well as slides from my thesis defense.

dan 2009-08-212020-06-23 Theses No Comments Read more

Masters thesis

In September 2005 I completed my masters at the University of Melbourne, under Craig Hodgson, entitled “From Algebra to Geometry: A Hyperbolic Odyssey”. A pdf is available.

dan 2005-09-012020-06-23 Theses No Comments Read more

Honours thesis

At the University of Melbourne I completed an honours thesis under Craig Hodgson, studying A-polynomials, representation varieties of 3-manifolds and their relationship with hyperbolic geometry. A pdf is available.

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Recent

  • Spinors and lambda lengths, NUS Singapore, December 2024
  • Spinors and Descartes’ Theorem
  • Spinors and horospheres
  • Spinors and Horospheres, Monash topology seminar, April 2023
  • The geometry of spinors in Minkowski space, ANZAMP February 2023
  • Oklahoma State topology seminar, November 2022
  • Talk at Australian Conference on Science and Mathematics Education, September 2022
  • Tsinghua topology seminar: A symplectic approach to 3-manifold triangulations and hyperbolic structures
  • Monash topology talk on Symplectic approach to 3-manifold Triangulations, September 2022
  • “There is always room for a new theory in mathematics”: Maryna Viazovska and her mathematics
  • A symplectic basis for 3-manifold triangulations
  • May 12 talk on Maryam Mirzakhani
  • Talk at Knots in Washington 49.75
  • A Symplectic Basis for 3-manifold Triangulations, AustMS 2021
  • Five-minute surrealist antiwar exposition of topological data analysis
  • An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes
  • General tips for studying mathematics
  • Summarise your maths research in one slide, Dan
  • A-Polynomials of fillings of the Whitehead sister
  • One line Euler line
  • Ptolemy vs Thurston in Hyperbolic Geometry and Topology, AustMS 2020
  • I got problems – congruence problems
  • From Here to Hensel
  • Return of the Euler-Fermat theorem
  • Topology: The shape of space
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