greg mcshane
Greg McShane
Bureau 328, Institut Fourier.
mcshane@univ-grenoble-alpes.fr
ORCID iD: 0009-0005-2197-2399
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 one.
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.
What I’ve been doing lately:
Setting and correcting exams :
I was looking forward to going to Hanoi for the Geometry and Dynamics in Low Dimensions in January 2025 but for administrative reasons didn’t make it.
Instead I’m reading this
December :
- judging for SCUDEM IX
- I was president of Pablo Montealegre’s thesis jury 12/12/2024.
October : Reporting on the thesis of Pablo Montealegre (On the stable norm of flat surfaces, defense 12/12/2024) in Montpellier.
June : I went to Singapore for the meeting on thin groups 3/6/2024-14/6/2024. On Friday 14/6 I gave a talk and we had dinner with Alan Reid and for his birthday.
April :
- Organised Zhang Yibo’s thesis defence 5/4/2024.
- President of Andrea Seppi’s HDR jury 25/4/2024.
January 2024 : Went to Oxford to give a talk in the topology seminar and I was supposed to go to San Francisco in January to give a talk in a special session on Markoff numbers at the AMS meeting but this got cancelled because of Notilus.
What I’m doing this week:
- reading the topologicon
- collecting material for this class
- reading working papers from the Collectif Maths&Sciences.
- working on a draft of work in progress
- thinking about Diophantine triples
- for amusement
Teaching 2024-25
Second semester
Magistère Algebraic Topology
L3 integration/probability
First semester
MAT 102
- web page for class
- First class: 11/9
- Wednesdays 11h30
- Friday 13h30
MAT305
- web page for class
- First class: 10/9
- Tuesdays 8:00
- Wednesdays 9:45
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?
2024
Speaker NUS Singapore 14/6/2024
-
Speaker Oxford topology seminar 22 January 2024.
-
Invited speaker special session on Markoff Numbers at the AMS meeting San Francisco January 2024.
2023
Summer 2023 I was travelling in Japan visiting TiTech and Rims
preprints
I am (still) 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
ToFupersyval-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
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.
- 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
2024
- Oxford topology seminar 22/1
- AMS special session 3/1
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.
What I’m doing this week
-
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