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Greg McShane

Bureau 328, Institut Fourier.

mcshane@ujf-grenoble.fr

I am a (low dimensional) topologist a subject which has it's origins in the work of the French mathematician Henri Poincaré. Currently I am doing a lot of topology and WebGL


  1. Teaching
  2. Research
  3. FabLab
  4. FdS
  5. Other stuff

Teaching 2017-18


First semester

I teach L3B algebra

Program

CORRECTIONS EXAMS

For the last three years I taught M1 Algebra

I am also teaching MAT103 at the DLST:


Second semester

I will be teaching Algebra at ENS-Lyon
provided the SNCF gets me there

and a graduate course on algebraic flows see here for the syllabus.


Research

Networks

IHP 2012 : La Maison des Maths
IHP 2012 : La Maison des Maths

More real math on blackboards


Themes

  1. Teichmueller space
  2. Modular group actions
  3. Applications to low dimensional topology

This is a quasi-Fuchsian manifold - it’s a basic kind of 3 manifold homeomorphic to the product of a surface and an interval together with a (non unique) choice of hyperbolic metric. Togther with Prof. S. Kojima of TITEC we are working on applying converegence results for quasi-Fuchsian manifolds and Teichmueller theory to get information about closed hyperbolic manifolds.

Recent preprints


FabLab

stages

From March 2014 I’ve also been working with the MSTIC FabLab making mathematical curiosities from wood. I’m mainly interested in constructing geometric objects in wood using kerf bending patterns. Wood prepared using a laser cutting machine can be bent and joined to like a 3 dimensional jigsaw puzzle.

photo photo

In November 2014 I was invited to take part in a workshop for architectural students Architect 2.0 Grenoble to explain the techniques and possibilities.

photo photo