mcshane@ujf-grenoble.fr

- Directeur de GDR TRESSES
- CV
- research statement
- my github account

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

- Teaching
- Research
- FabLab
- FdS
- Other stuff

I teach **L3B algebra**

- every Monday 9:45- 11:45
- every Wednesday 13:45 - 15:15

- Groups
- definitions examples
- subgroups
- morphisms 1
- morphisms 2

- Rings
- definitions examples
- morphisms
- ideals
- quotients, Chinese remainder, Fermat
- irreducible and premier, factorisation
- polynomial rings

- Complements
- Actions of groups
- The symmetric groups
- Linear algebra

I am also teaching MAT103 at the DLST:

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.

- I am
**responsable**of the GDR des Tresses
Rencontres du GDR:
- Journées Géométrie et Topologie ENS Lyon
- Journees de doctorants du GdR TRESSES, 16-17/11/17
- Winterbraids
- Teichmüller Space, Polygonal Billiard, Interval Exchanges CIRM
- Minkowski ? function, Grenoble
- Interactions Topologie/Codes quantiques, Marseille
- I am an associate member of GEAR.

IHP 2012 : La Maison des Maths

- Teichmueller space
- Modular group actions
- 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.

- NORMALIZED ENTROPY VERSUS VOLUME FOR PSEUDO-ANOSOVS
- EQUIDECOMPOSABILITY, VOLUME FORMULAE AND ORTHOSPECTRA
- GEOMETRIC IDENTITIES

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.