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contact

Liouville structures and convex surfaces

Starting from a Liouville 1-form on a surface, we have been led to 3-dimensional contact geometry, and convex surfaces. We now go in the other direction.

dan 2019-02-052020-06-17 Notes No Comments Read more

From Liouville geometry to contact geometry

The standard contact structure on R^3.

(Technical) We’re going to take Liouville structures and move them into 3 dimensions, to obtain contact structures.

dan 2019-02-032020-06-21 Notes, Poplular Maths Articles No Comments Read more

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Recent

  • Spinors and horospheres
  • 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
  • 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
  • University forever
  • Sitting out the math wars
  • Not human, but inhabited by humans: writing mathematics
  • A-polynomials, Ptolemy varieties, and Dehn filling, Melbourne June 2020
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