University of Lethbridge
Sep.-Dec., 2022 - Math 1560 - Section A : Calculus I
Textbook: APEX Calculus
May-Jun., 2023 - Math 1560 - Section A : Calculus I
Textbook: APEX Calculus
Sep.-Dec., 2023 - MATH 3410A - Linear Algebra
Textbook: Private Notes inspired by Algebra, 2nd edition by Michael Artin, Chapters 1, 3, 4 and 8
Université du Luxembourg
Mar.-Jun., 2024 - Algebraic Number Theory (Master level course)
Textbook: Algebraic Number Theory by J.S. Milne
The month of March was taught by Antonella Perucca.
Sep. 11 and 13, 2024 - Linear Algebra preparatory course instructor at the Prep Camp Mathematics 2024 (in French)
Sep. 2024 - Jan., 2025 - Commutative Algebra (Master level course) - Problem Sessions Instructor
Textbook: Private course notes by Gabor Wiese
Feb.-Jun., 2025 - Algebraic Number Theory (Master level course)
Textbook: Private course notes (in preparation) by myself
Course Description:
Review of integrality and Dedekind domains, including the factorisation of prime ideals. Proof that the ring of integers of a number field is a Dedekind domain. Study of some properties of the ring F_q[t],
Valuations, places, rational function fields.
Zeta functions of F_q[t], Q and F_q(t) and some arithmetic consequences of their properties,
Gauss reciprocity over number fields and global function fields and related subjects,
Extensions of Dedekind domains and their fraction fields,
Decomposition groups, inertia groups and basic properties,
Cyclic extensions over number fields and global function fields,
Dirichlet L-series and primes in arithmetic progressions,
Study of rings of integers I: Minkowski Theory and Class Number,
Study of rings of integers II: Dirichlet’s Unit Theorem,
Time permitting: An introduction to Drinfeld modules