greg mcshane

Greg McShane

Bureau 328, Institut Fourier.

mcshane@univ-grenoble-alpes.fr

You should be able to find out about my research and teaching here. But if you need a CV for some reason (grant applications, invitations etc) then here is a CV. Just in case you are wondering why this page is on GitHub read this and here are my github repos I’ve just added a new repo for a project I’m working on with a student.

I am back in France after a trip to Oxford

Oxford talk slides
organising Zhang Yibo’s thesis defence
working on a draft of work in progress

Teaching 2023-24

First semester

MAT 102

web page for class

MAT305

web page for class

Second semester

delegation CNRS

Research

I am principal investigator ToFu
I am also co director of the thesis of Zhang Yibo financed by ToFu/Persyval Lab
I organised a special session AMS-EMS-SMF Joint International Meeting in July also funded by ToFu/Persyval Lab

What have I been doing lately?

Speaker Oxford topology seminar 22 January 2024.
Invited speaker special session on Markoff Numbers at the AMS meeting San Francisco January 2024.

Last summer I was travelling in Japan visiting TiTech and Rims

I am always working on the geometry of surfaces and its relations with number theory here are some preprints.

Isospectral configurations in Euclidean and Hyperbolic Geometry
Eisenstein integers and equilateral ideal triangles
Geometry of Fermat’s sum of squares
Convexity and Aigner’s Conjectures
On systoles and ortho spectrum rigidity
What (else) do I do?
Editor Annales de l’Institut Fourier
Principal investigator l’equipe action ToFu persyval-lab
member of the IRGA committee pole MSTIC
Member of the Conseil de l’UFR IMAG2
- member of the commission de la recherche de l’UFR IMAG2
Local coordinator federation RAA Paperwork
Ex directeur de GDR TRESSES
CV
research statement

seminars I go to

Basically if you are looking for me on a Thursday well….forget it!

Thursdays 10h30 Seminaire francophone
Thursdays 14h TSG Grenoble
Thursdays 15h CMSA Interdisciplinary Science Seminar
Thursdays 16h Geometry and Topology Online

and a little more…

I am a (low dimensional) topologist a subject which has it’s origins in the work of the French mathematician Henri Poincaré. I am interested in visualisation and computation in mathematics

I was a member of ICERM at Brown University in 2019 participating in Illustrating Math and visits to

Boston College
CUNY Graduate Center

Here is the book that we wrote during the semester.

And where I got time to do write stuff forInkscape like this Apollonian Packings

I am also am/was a beta tester for :

(actually Copilot is out of beta now and completed most of the above list)

This is what I look like

IHP 2012 : La Maison des Maths

More real math on blackboards

Research Networks

principal investigator ToFu
am an associate member of GEAR
ex director of the GDR des Tresses

Rencontres du GDR in 2020:

When I was director of the GDR Tresses we organised a number of meetings even during the pandemic.

WINTERBRAIDS
Artin Groups, CAT(0) Geometry and Related Topics
Teichmüller Theory: Classical, Higher, Super and Quantum
Complex Hyperbolic Geometry and Related Topic
Conférence internationale à la mémoire de Patrick Dehornoy

Themes

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.

With Bill Goldman and a couple of his ex students we have been working on a book that just got published by the AMS. Much of it is dedicated to explaining this picture of an invariant fractal in the character variety.

Recent preprints

Mostly geometry of surfaces and (elementary) number theory.

Talks

Talks were Reveal.js slides till 2023 but I’ve switched to Marp but it’s basically the same

blue arrows = next/previous
blue text is a link to a resource on the web

2024

Oxford topology seminar 22/1
AMS special session 3/1

2023

2022

Beijing/Nankai 21/11

2021

Tokyo 7/12
Toulouse 9/11
Grenoble 8/10
Glasgow 7/6
Tokyo 3/6 (Geometry of discrete groups and hyperbolic spaces)
Warwick 28/5 (Colloquium)
Nantes 18/3

2020

HARVARD 18/12/20

FabLab

stages

From March 2014 I’ve also been working with the fablab MSTIC 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. collection of pieces

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

What I’m doing this week

newton fractals
thinking about einsteins

more here

Simulation of an epidemic

the particles follow a random walk.
the yellow particles are infected
contact between yellow and blue results in transmission

I embedded this in a script with pygame too

more complicated about 150 LOC.

Finally (you can skip)

After being abused by ed as a teenager I’ve recently converted to the church of neovim

this