Fri, 06 Mar 2026
16:00
L1

We are all different: Modeling key individual differences in physiological systems

Anita Layton
(University of Waterloo)
Abstract
Mathematical models of whole-body dynamics have advanced our understanding of human integrative systems that regulate physiological processes such as metabolism, temperature, and blood pressure. For most of these whole-body models, baseline parameters describe a 35-year-old young adult man who weighs 70 kg. As such, even among adults those models may not accurately represent half of the population (women), the older population, and those who weigh significantly more than 70 kg. Indeed, sex, age, and weight are known modulators of physiological function. To more accurately simulate a person who does not look like that “baseline person,” or to explain the mechanisms that yield the observed sex or age differences, these factors should be incorporated into mathematical models of physiological systems. Another key modulator is the time of day, because most physiological processes are regulated by the circadian clocks. Thus, ideally, mathematical models of integrative physiological systems should be specific to either a man or woman, of a certain age and weight, and a given time of day. A major goal of our research program is to build models specific to different subpopulations, and conduct model simulations to unravel the functional impacts of individual differences.


 

Fri, 08 May 2026

16:00 - 17:00
L1

On Hilbert’s sixth problem: from particles to waves

Prof. Zaher Hani
(University of Michigan)
Abstract
In his sixth problem, Hilbert called for the derivation of the equations of fluid mechanics—such as the Euler and Navier-Stokes equations—from first principles, by rigorously justifying Boltzmann’s kinetic theory. This entails starting from Newton’s laws for a system of N particles and taking successive limits to first obtain Boltzmann’s kinetic equation, and then deriving the equations of fluid mechanics from it. The major landmark in the early literature is the work of Oscar Lanford (1975), who provided the first rigorous derivation of the Boltzmann equation, albeit only for short times. Hilbert’s sixth problem, however, requires a long-time version of Lanford’s result, which remained open for decades.
 

In a joint work with Yu Deng (University of Chicago) and Xiao Ma (University of Michigan), we extended Lanford’s theorem to long times—specifically, for as long as the solution of the Boltzmann equation exists. This allowed us to fully carry out Hilbert’s program and derive the fluid equations in the Boltzmann–Grad limit. The underlying strategy builds on earlier joint work with Yu Deng that resolved a parallel problem in which colliding particles are replaced by nonlinear waves, thereby establishing the mathematical foundations of wave turbulence theory. In this talk, we will review this progress and discuss some related problems and future directions. 

Mon, 26 Jan 2026

17:00 - 18:00
L1

Enhancing Wind Energy Using Unsteady Fluid Mechanics

Prof. John Dabiri
(California Institute of Technology, USA)
Abstract

This talk will describe recent studies of how time-dependent, unsteady flow physics can be exploited to improve the performance of energy harvesting systems such as wind turbines. A theoretical analysis will revisit the seminal Betz derivation to identify the role of unsteady flow from first principles. Following will be a discussion of an experimental campaign to test the predictions of the theoretical model. Finally, a new line of research related to turbulence transition and inspired by the work of T. Brooke Benjamin will be introduced.

 

Further Information

For more information, please visit: The Brooke Benjamin Lecture in Fluid Mechanics | Mathematical Institute 

Fri, 20 Feb 2026
16:00
L1

Where do you draw the (dividing) line?

Julia Wolf
(Cambridge)
Abstract
A longstanding classification programme in model theory aims to determine when a mathematical structure exhibits tame, structurally simple—as opposed to wild, intractable—behaviour. A key role is played by so-called dividing lines, i.e. properties of logical formulas (or theories) that separate these regimes. In this talk, we demonstrate how the lens of combinatorics has allowed us to gain new insight into higher-order dividing lines, drawing on examples in graphs and groups. We also explain how this perspective has led to advances in higher-order Fourier analysis and statistical learning.
 
This talk intends to be accessible to beginning graduate students in all areas of mathematics.


 

Fri, 17 Oct 2025

14:00 - 15:00
L1

The Art of Maths Communication

Abstract

Join bestselling author Simon Singh and Oxford mathematician turned educator Junaid Mubeen for a session on maths communication! Learn how to present mathematics in a way that is both accessible and engaging, and how to apply these principles in a teaching context. Simon and Junaid will draw on their experiences in the Parallel Academy https://parallel.org.uk, an online initiative they set up in 2023, which has since grown to support thousands of keen and talented students to pursue maths beyond the curriculum. 

Fri, 28 Nov 2025

11:00 - 12:00
L1

How to effectively manage your time

Abstract

This session will explore practical ways to manage your time effectively as a student. We’ll discuss how to find the right balance between revising and working on problem sheets, tools and strategies to help you plan your workload, and how to set realistic priorities. We’ll also talk about what kind of study balance makes sense over the Christmas break. Come along to pick up useful tips for staying organised, focused, and on top of your studies.

 

This session is likely to be most relevant for first-year undergraduates, but all are welcome.

Fri, 21 Nov 2025

14:00 - 15:00
L1

What’s it like doing a PhD in maths/being an academic?

Abstract

This week's Fridays@2 will be a panel discussion focusing on what it is like to pursue a research degree. The panel will share their thoughts and experiences in a question-and-answer session, discussing some of the practicalities of being a postgraduate student, and where a research degree might lead afterwards.

Fri, 14 Nov 2025

11:00 - 12:00
L1

How to make the most of your tutorials

Abstract

This session will look at how you can get the most out of your lectures and tutorials. We’ll talk about how to prepare effectively, make lectures more productive, and understand what tutors expect from you during tutorials. You’ll leave with practical tips to help you study more confidently and make your learning time count.


This session is likely to be most relevant for first-year undergraduates, but all are welcome.

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