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Author: dan

Summarise your maths research in one slide, Dan

As part of an upcoming workshop participants were asked to introduce themselves with a one-page slide. I took it as an extreme form of concision: summarise your maths research in one slide, Dan.

dan 2021-09-032021-09-03 Notes, Poplular Maths Articles No Comments Read more

One line Euler line

A fun fact from Euclidean geometry that I thought was a wonderful enough gem to share. It’s standard, but it’s nowhere near any curriculum. I’ll try not to get too snarky about the curriculum.

dan 2021-06-142021-06-14 Poplular Maths Articles No Comments Read more

Ptolemy vs Thurston in Hyperbolic Geometry and Topology, AustMS 2020

On 9 December 2020 I gave a (virtual) talk in the Topology session of the 2020 meeting of the Australian Mathematical Society.

dan 2020-12-092020-12-09 Research Talks No Comments Read more

I got problems – congruence problems

On 7 December 2020 I gave a (virtual) lecture at the Australian Mathematical Olympiad Committee’s School of Excellence on congruences.

dan 2020-12-072020-12-09 Popular Maths Talks No Comments Read more

From Here to Hensel

Here’s a nice maths problem, which I thought it would be fun to discuss. The question doesn’t involve any advanced concepts, but it leads on to a very nice result called Hensel’s lemma.

dan 2020-12-052020-12-05 Poplular Maths Articles No Comments Read more

Return of the Euler-Fermat theorem

A long long time ago, in a galaxy far away, I wrote up an account of the Euler-Fermat theorem for school students.

dan 2020-12-022020-12-02 Poplular Maths Articles No Comments Read more

Topology: The shape of space

Monash Open Day in 2020 was a purely online affair, thanks to COVID. I recorded a video talking about Topology: The Shape of Space.

dan 2020-08-302020-11-30 Popular Maths Talks 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

Not human, but inhabited by humans: writing mathematics

Mathematics can be written in many ways. One approach, very popular with professional pure mathematicians, is to write as little as possible. But there should also be others.

dan 2020-08-172020-08-17 Poplular Maths Articles No Comments Read more
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Recent

  • Oklahoma State topology seminar, November 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
  • 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
  • Monash topology talk on Circle packings, Lagrangian Grassmannians, and Scattering Diagrams, April 2020
  • A-polynomials, Ptolemy varieties and Dehn filling
  • AustMS 2019 talk on geometry and physics of circle packings
  • The sensitivity conjecture, induced subgraphs of cubes, and Clifford algebras
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