# 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 2018-10

### First semester

I teach L3B algebra

• every Monday 9:45- 11:45
• every Wednesday 13:45 - 15:15
Correction exam 2017

#### Program

• Groups
1. definitions examples
2. subgroups
3. morphisms 1
4. morphisms 2
• Rings
1. definitions examples
2. morphisms
3. ideals
4. quotients, Chinese remainder, Fermat
5. irreducible and premier, factorisation
6. polynomial rings
• Complements
1. Actions of groups
2. The symmetric groups
3. Linear algebra
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 Mostly Surfaces at ENS-Lyon
provided the SNCF gets me there. Previous I taught algebra

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

# Research

### Networks

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.

# 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.

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.