macbuse.github.io

Greg McShane

Bureau 328, Institut Fourier.

mcshane@univ-grenoble-alpes.fr

Research

what I’ve been doing lately

Geometry of surfaces and its relations with number theory here are some preprints.

what I’m doing this week

# compare with
# https://scipython.com/book/chapter-6-numpy/examples/creating-a-magic-square/
# which is (nearly) twice as long :(

def mk_magic_square(N=5,
                    RANDOM=False):
    
    seed_row = (N+1) * np.arange(0, N) + 1
    seed_row = np.roll(seed_row, N // 2)

    ms =  np.zeros((N,N), dtype=int)
    for k in range(0,N):
        ms[k] = np.roll(seed_row, -k) + k * N  
    
    ms = ms % N**2
    ms[ms == 0] = N**2

    if RANDOM :
        V = np.identity(N, dtype=int)
        np.random.shuffle(V)
        ms = V @ ms
    return  ms

Teaching 2022-23

Last year’s teaching

First semester

MAT 102


MAT305


Introduction à la programmation

Evaluation is by project. Here are some of the finished projects from 2020 and 2021:

  1. sudoko with digit recognition
  2. labrinths on surfaces
  3. labrinths classic
  4. Mastermind d’apres Knuth

Video of a 120-cell by Muaad Tamtam et Damis El Alami.

And this is something I learned to do by talking to the students (and going on forums).

Simulation of an epidemic

I embedded this in a script with pygame too

Second semester

MNUM

Correction examen 19/5


What (else) do I do?

seminars I go to

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

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

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
IHP 2012 : La Maison des Maths

More real math on blackboards


Research

Networks

Rencontres du GDR in 2020:

Themes

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 are Reveal.js slides


2022

2021

2020


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

photo photo

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

photo photo

Finally (you can skip)

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

why ?

this