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Daniel Mathews

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Author: dan

At least mathematics is commendable

The Australian government announced a proposal to force tech companies to provide government agencies with the contents of encrypted communications.

dan 2017-07-142020-06-22 Etc. No Comments Read more

Holy h-principle, Batman!

In which I attempt to explain some of the ideas behind the h-principle.

dan 2017-06-122020-06-22 Poplular Maths Articles 1 Comment Read more

Morse structures on partial open books with extendable monodromy

Joint with Joan Licata.

We extend the notion of Morse structure on an open book to extendable partial open books in order to study contact 3-manifolds with convex boundary.

dan 2017-02-242020-06-22 Research Papers No Comments Read more

Eighty years ago, Spanish people responded to the far right with social revolution

Eighty years ago to the day, the far right was in its ascendancy, and still rising. Hitler was in complete control of Germany, Mussolini had been in charge of a police state in Italy for a decade. But a little to the southwest, in Spain, war had already broken out.

dan 2017-01-042020-06-22 Etc. 6 Comments Read more

Mathematics, mathematicians, philosophy

In December 2016 I gave a talk to secondary school students about mathematics and mathematical philosophy.

dan 2016-12-242020-06-22 Popular Maths Talks No Comments Read more

AustMS talk, December 2016

On 6 December, 2016, I gave a talk at the Austrlaian Mathematical Society Annual Meeting at ANU, Canberra. The talk was entitled “Strand algebras and contact categories”. Slides from the talk are available.

dan 2016-12-062020-06-22 Research Talks No Comments Read more

What to do while Rome burns

From Russell’s Principles of Social Reconstruction (1916).

dan 2016-12-012020-06-22 Etc. No Comments Read more

The Eighteenth Brumaire of Donald Trump

On the Eighteenth Brumaire (9 November) 1799, Napoleon Bonaparte seized power in France. Louis Napoleon did the same in 1851. First as tragedy, then as farce. Tragedy and farce and much more — with vastly greater consequences — have taken place on the Eighteenth Brumaire 2016.

dan 2016-11-092020-06-22 Etc. No Comments Read more

Talks at Low-dimensional topology workshop, Oct-Nov 2016

In October-November 2016 I gave two talks at the MSI Workshop on Low-Dimensional Topology & Quantum Algebra at ANU, Canberra. Some slides are available.

dan 2016-10-312020-06-22 Research Talks No Comments Read more

On the end of the world

One can take several possible attitudes to the bleakest of certainties about the future.

dan 2016-09-232020-06-22 Etc. No Comments Read more
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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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