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Daniel Mathews

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General tips for studying mathematics

I don’t know that I would have anything to say that’s not a platitude, but here are some thoughts.

dan 2021-10-092021-10-09 Etc., Poplular Maths Articles No Comments Read more

University forever

I don’t have anything against people who want to stay at university as long as possible: this is, after all, my life. I think long term economic trends point in this direction though.

dan 2020-08-232020-08-23 Etc. No Comments Read more

Sitting out the math wars

Very few professional mathematicians have been involved in the “math wars”, and when they have, they have not always inspired confidence. I wondered why.

dan 2020-08-232020-08-23 Etc., Poplular Maths Articles No Comments Read more

The “Australia day” category error

I don’t believe in any patriotic holidays. But a patriotic holiday on such a terrible date needs to be moved, rebuilt, or abolished.

dan 2019-01-172020-06-17 Etc. No Comments Read more

Abstract algebra nursery rhyme

In the spirit of hilariously advanced baby books like Chris Ferrie’s Quantum Physics for Babies, I have taken to incorporating absurdly sophisticated concepts into nursery rhymes.

dan 2019-01-142020-06-17 Etc., Poplular Maths Articles No Comments Read more

The last resort of scoundrels

Patriotism, at least in its usual sense of love of one’s country over others, veneration of the virtue of its people over others, and adoration of its flag, is awful, irrational nonsense.

dan 2019-01-142020-06-17 Etc. No Comments Read more

Limitless as that space too narrow for its inspirations

In which I recall, via neurologist Oliver Sacks, some musings of Sylvester from 1877 on the limitlessness of mathematics.

dan 2019-01-032020-06-17 Etc., Poplular Maths Articles No Comments Read more

The Doors of Crime Perception

Crime is uniquely susceptible to the manipulation of perceptions.

dan 2019-01-022020-06-17 Etc. No Comments Read more

The disempowerment of positive thinking

I’m quite skeptical of the “positive psychology” movement, as it encourages the individualisation of some problems that are really social.

dan 2018-05-122020-06-18 Etc. No Comments Read more

What is to be done, and the Paradox of Choice

The real problem is not that we are overloaded with too many ideas about what to do. The real problem is that we do not have enough ideas about where we want to go.

dan 2017-11-112020-06-18 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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