Dr. Frédéric Latrémolière, PhD

Teaching

I strongly believe in the role of a teacher-scholar: in exchange for the freedom of conducting research in mathematics, I share my knowledge and understanding of this deep subject with future generations of mathematicians, scientists and engineers. This exchange forms the basis of my social contract, so to speak. My teaching philosophy, influenced by the rigor of the French education I received and the flexibility of the north american system, both in the US and Canada I have worked within, emphasizes the emergence of skill from understanding, with a conceptual focus. I love to contextualize my teaching with history, philosophy, and my understanding of where the subject goes from the particular scope of a course to the larger mathematical and scientific picture.

I offer some free notes on various subjects which I have taught in the past. I hold the copyright rights for all the notes and videos listed on this page. Reproduction and redistribution is not allowed.

• Notes for Real Analysis I
• Notes for Topology I
• Notes for Calculus 1
• Notes for Calculus 2
• Notes for Calculus 3

In addition, during the COVID experiments, I posted videos on a youtube channel on linear algebra and on C*-algebras, which you are welcome to check.

List of Past Courses

Here are classes which I have taught.

Undergraduate Lower Division

• Calculus 1,2,3
• Calculus for Engineers
• Honors Calculus 2,3
• Linear Algebra
• Introduction to Proofs
• Probability

Undergraduate Upper Division and Graduate

• Real Analysis 1,2
• Topology
• Complex Analysis
• Mathematical Probability
• Measure Theory
• Functional Analysis
• C*-algebras and Spectral Theory
• Riemannian Geometry

General Education

• Freshmen seminars
• Analytical Inquity

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Conferences

Conferences and seminars are a principal means to disseminate my research results. My favorite opportunity was to give a mini-course at the Hausdorff institute of Mathematics (in the Lipschitz lecture Hall :)) on quantum metric spaces, which I am happy to share.

Some Seminar Recordings

There are a few recordings of lectures I gave in the past on YouTube.

• North Atlantic Noncommutative Geometry Seminar 12/17/2025 (slides)
• Pragues NCGT Seminar 11/7/2021
• North Atlantic Noncommutative Geometry Seminar 3/24/2021 (slides)

Some Conference and Seminar Slides

In addition, here are some slides of other talks. A complete list of presentations can be found on my cv.

• Caltech 2016, a seminar on a Gromov-Hausdorff analogue for C*-correspondences
• Tokyo, 2018, a seminar on the Gromov-Hausdorff propinquity
• AMS JMM 2020, A seminar on the covariant version of the Gromov-Hausdorff propinquity
• UCRiverside 2/23, a seminar relating inductive limits and noncommutative metric geometry
• BIRS-CMO 8/23, a presentation on the spectral propinquity for metric spectral triples
• UCRiverside 2/24, a seminar on dimensional collapse in noncommutative metric geometry
• OdenSeaG 8/24, a presentation on the spectral propinquity for metric spectral triples
• North Atlantic NCG 12/25, The analogue of Gromov-Hausdorff convergence for locally compact quantum metric spaces