McMaster / Instantons and 4-manifolds

We will go through the book of Freed and Uhlenbeck, and learn about Instantons and 4-manifolds and the involved analysis. This will culminate in a proof of Donaldson's diagonalisation theorem.

H312, Fridays 11:15

McMaster / Math 1ZC3

Introduction to linear algebra for engineers. We cover linear independence, dimension, determinants, eigenvalues, diagonalisation, and complex numbers.

Course page

A magic matrix

McMaster / Light bulbs in dimension 3 and 4

After recalling why light bulbs are standard in dimension 3, we go through Gabai's proof [ArXiv:1705.09989] of the corresponding statement in dimension 4. Along the way, we pick up the necessary background on embedded Morse theory and diffeomorphism groups.

H312, Fridays 13:00

A light bulb

McMaster / Math 731

Introduction to algebraic topology with focus on the fundamental group and homology.

Course page

UQAM / SW stable homotopy theory

We study the approach to Seiberg-Witten theory of Bauer-Furuta using stable homotopy theory.

Seminar page

McGill / Math 123

Introduction to linear algebra with applications from probability theory and optimisation.

Exercises on Webworks

McGill / Math 381

Complex calculus focusing on methods for evaluating integrals over domains in the complex plane and the computation of various transforms and their application in engineering.

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