Henry Segerman
Department of Mathematics and Statistics
University of Melbourne
VIC 3010, Australia
Office: 165
Phone: +61 3 8344 9710
Email: segerman (at) unimelb (dot) edu (dot) au
Curriculum Vitae
Research Statement
Teaching Statement
Publication List
Papers and preprints
Geometry and Topology
Triangulations of hyperbolic 3-manifolds admitting strict angle structures, with Craig D. Hodgson and J. Hyam Rubinstein, 2011, 27 pages, 8 figures, arXiv: 1111.3168.
A generalisation of the deformation variety, 2011, 41 pages, 26 figures, arXiv:0904.1893.
Pseudo-developing maps for ideal triangulations I: Essential edges and generalised hyperbolic gluing equations, with Stephan Tillmann, 18 pages, 8 figures, Topology and Geometry in Dimension Three: Triangulations, Invariants, and Geometric Structures (Proceedings of the Jacofest conference), AMS Contemporary Mathematics 560 (2011), pp. 85--102.
Veering triangulations admit strict angle structures, with Craig D. Hodgson, J. Hyam Rubinstein and Stephan Tillmann, 15 pages, 9 figures, Geometry & Topology, 15 (2011), pp. 2073-2089.
Incompressible surfaces in handlebodies and boundary compressible 3-manifolds, with J. Nogueira, 31 pages, 14 figures, Topology and its Applications 158 (2011), no. 4, pp. 551-571.
Detection of incompressible surfaces in hyperbolic punctured torus bundles, 52 pages, 25 figures, Geometriae Dedicata 150 (2011), no. 1, pp. 181-232.
On spun-normal and twisted squares surfaces, 15 pages, 13 figures, Proc. Amer. Math. Soc. 137 (2009), pp. 4259-4273.
Mathematical Art and Recreational Mathematics
Recent 3D printed sculptures, 10 pages, 11 figures, Hyperseeing, in press.
Fractal graphs by iterated substitution, 24 pages, 20 figures, Journal of Mathematics and the Arts (© Taylor and Francis, available online at: http://www.tandfonline.com), 5 (2011), no. 2, Pages 51-70.
The sunflower spiral and the Fibonacci metric, 4 pages, 4 figures, Proceedings of the Bridges conference 2010.
Autologlyphs, with P.-O. Dehaye, 2004, in Math. Intell. 26 (2004), no. 2, cover art and pp. 37-39.
100 prisoners and a lightbulb, with P.-O. Dehaye and D. Ford, in Math. Intell. 25 (2003), no. 4, pp. 53-61.
My Ph.D. thesis is available here (submitted May 2007). It bears a striking resemblance to the paper "Detection of incompressible surfaces in hyperbolic punctured torus bundles".
Talks
Slides and notes from some of my talks:
- Some Mathematical Sculptures, January 2012
- Triangulations of hyperbolic 3-manifolds admitting strict angle structures, January 2012
- A generalisation of the deformation variety, Oct 2010
- The Sunflower Spiral and the Fibonacci Metric, Jul 2010
- When is a knot not a knot?, Jan 2010
- The Mathfest 2009 Poster Image, Mathematical Art, Design and Education in Second Life, Aug 2009
I also showed a video at the start of the talk and another at the end. - Drawing knots using computers, Jul 2009
- Extending the deformation variety, Nov 2008
- Ideal triangulations and components of the Character variety, Nov 2007
On 23rd February 2008 I gave a talk to the University of Texas Mathematics Department's Saturday Morning Math Group (for an audience of around 200 high school students from nearby schools in the area), you can see a video of it here (scroll down to my talk).
Press
In February 2008, I was interviewed on She Blinded Me With Science!, a show on the student radio station KVRX, talking about topology and juggling. You can listen to the interview here.
I was interviewed by BBC Radio 5 about mathematical art and 3D printing. Here is the blogpost for the podcast, which was published on 6th December 2011. Here is the direct link to the mp3.
I was interviewed for an article in the "Voice", a publication put out by the University of Melbourne, on "The language and art of maths". Here is the article, which was published in January 2012. The online version of the article is missing the image (shown here) that went with the article. Alternatively, here is a pdf of the whole publication, which includes the article (on page 4) together with the photograph.
Links
My old University of Texas math website is here. My old Stanford math website is here.
Go here for my personal website. Particularly math(s) related things: 3D printed sculpture, Autologlyphs, Escher's Printgallery at Stanford, Book Covers and Posters, T-shirt designs.
For keeping track of your and your friends' (lack of) mathematical progress: Ways to Go Wrong Tally Sheet.
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