macbuse.github.io
Greg McShane
Bureau 328, Institut Fourier.
mcshane@univ-grenoble-alpes.fr
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Why is this page on GitHub? Read this
Teaching 2023-24
First semester
MAT 102
- Wednesdays 15h15, Thursday 8h
- web page for class
MAT305
- Tuesdays 8:00 Wednesdays 9:45
- web page for class
Second semester
- delegation CNRS
Research
- CV 2022
- I am principal investigator ToFu
- I am an associate member of GEAR
- I was director of the GDR des Tresses
- I organised a special session AMS-EMS-SMF Joint International Meeting in July.
What have I been doing lately?
Travelling in Japan visiting TiTech and Rims
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 I’m doing this week
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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.
What (else) do I do?
- Editor Annales de l’Institut Fourier
- Principal investigator l’equipe action
ToFupersyval-lab - Local coordinator federation RAA
- Member of the Conseil de l’UFR IMAG2
- Ex directeur de GDR TRESSES
- CV
- research statement
- my github account
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. Recently I have been doing a lot of
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
This is what I look like
IHP 2012 : La Maison des Maths
Research
Networks
- I am principal investigator ToFu
- I am an associate member of GEAR
- I was director of the GDR des Tresses
Rencontres du GDR in 2020:
- 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.
- Isospectral configurations in Euclidean and Hyperbolic Geometry
- Convexity and Aigner’s Conjectures
- EISENSTEIN INTEGERS AND EQUILATERAL IDEAL TRIANGLES
- GEOMETRY OF FERMAT’S SUM OF SQUARES
- On systoles and ortho spectrum rigidity
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
2023
2022
2021
- Tokyo 7/12
- Toulouse 9/11
- Glasgow 7/6
- Tokyo 3/6 (Geometry of discrete groups and hyperbolic spaces)
- Warwick 28/5 (Colloquium)
- Nantes 18/3
2020
FabLab
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.
Finally (you can skip)
After being abused by ed as a teenager I’ve recently converted to the church of neovim