Courses

Advanced studies in Theoretical and Computational Biology

The purpose of this graduate course is to equip graduate students with cutting-edge techniques in data-driven mathematical and …

Last updated on Jun 10, 2025 upcoming
Optimal Transport: Theory and Applications
The modern theory of Monge-Kantorovich optimal transport is barely three decades old. Already it has established itself as one of the …
Last updated on Jun 27, 2025 upcoming
Algebraic Topology I
This is a course in homology and cohomology of topological spaces. We study spaces and continuous functions by means of abelian groups …
Last updated on Jun 13, 2025 upcoming
Applied Stochastic Analysis
This course will introduce the major tools in stochastic analysis from an applied mathematics perspective. Topics to be covered include …
Last updated on Jun 13, 2025 upcoming
Discrete Optimization
Discrete optimization focuses on developing efficient methods to determine the maximum or minimum value of a function over a finite …
Last updated on Jun 16, 2025 upcoming
Elliptic Curves and Modular Forms
This course is an introduction to the theory of elliptic curves and modular forms at the graduate level. Elliptic curves will be …
Last updated on Jun 13, 2025 upcoming
Modern Biophysics

This graduate course is designed to provide graduate students with key concepts and practical applications in Biophysics, with an …

Last updated on Jun 13, 2025 upcoming
Topics in Optimization: Mathematical Foundations of Machine Learning

This course is a bridge into the machine learning literature for graduate students in mathematics. Compared to existing course …

Last updated on Jun 13, 2025 upcoming
Mathematical Biology - Nonlinear PDE Models
In this course we are learning to build and analyse nonlinear partial differential equation models. The focus of the course will be …
Last updated on Jun 10, 2025 upcoming
Algebraic cycles and Hodge theory, I
These lectures form an expanded version of a series of lectures delivered by Lewis during 13-19 August 2000 at the Instituto de …
Last updated on Aug 6, 2024 external
A Primer to Arithmetic Statistics
In the past 25 years or so, the subject of “Arithmetic Statistics”, beginning with the work of Bhargava’s success in …
Last updated on Jun 5, 2025 past
Advanced studies in Theoretical and Computational Biology

The purpose of this graduate course is to equip graduate students with cutting-edge techniques in data-driven mathematical and …

Last updated on Jun 5, 2025 past
Algebraic Topology
The course is a first semester of algebraic topology. Broadly speaking, algebraic topology studies spaces and shapes by assigning …
Last updated on Jun 5, 2025 past
Analytic and diophantine number theory with applications to arithmetic geometry
This course provides an introduction into analytic number theoretic methods with applications to arithmetic geometry. We will study …
Last updated on Jun 5, 2025 past
Extremal Combinatorics

This course covers classical problems and modern techniques in extremal combinatorics. The first part of the course is on extremal …

Last updated on Feb 20, 2025 past
Fundamental models in fluid dynamics
The course will be an introduction to the behaviour of fluids (liquids and gases) from an applied math perspective, starting with an …
Last updated on Jun 5, 2025 past
Introduction to Cohomology of Arithmetic Groups
The most basic example of an arithmetic group is $\Gamma=SL_n(Z),$ and understanding the cohomology of this group (and its close …
Last updated on Feb 20, 2025 past
Mathematical Classical Mechanics
This course presents classical mechanics to a mixed audience of mathematics and physics undergraduate and graduate students. It is …
Last updated on Jun 5, 2025 past
Mathematical Ecology - Nonlinear PDE Models
In this course we are learning to build and analyse nonlinear differential equation models. The focus of the course will be models of …
Last updated on Jun 5, 2025 past
Spectral Methods for PDEs
Spectral methods are numerical methods for solving PDEs. When the solution is analytic, the convergence rate is exponential. The first …
Last updated on Jun 5, 2025 past