Teaching

Current courses

In the Fall term of 2023 I taught the course MATH-139 Calculus 1 with Precalculus at McGill University. All information and student resources can be found in the course's page on McGill's myCourses platform.

For inquiries related to this course, you can contact me at: carlo[dot]scarpa[at]mcgill[dot]ca.

My notes and the lectures overview are available to students on myCourses.

Moment maps in differential geometry

These are some notes (handwritten, unfortunately) of a graduate course I taught in SISSA in the 2022 Spring term. I will update a revised TeX version at some point in the future.

• course presentation: lect0

• symplectic forms: lect1

• some Kähler geometry: lect2

• Hamiltonian actions: lect3

• symplectic quotients: lect4

• algebraic stability: lect5

• the Kempf-Ness Theorem: lect6

• Hermite-Einstein bundles: lect7

• slope stability and Einstein metrics: lect8

• scalar curvature as a moment map: lect9

• quantization of the cscK problem: lect10

Some notes:

• Ruled Surfaces

• Flatness