Front Quad of Lincoln College, the walls covered in bright green ivy

Professor Louis-Pierre Arguin

Professor Louis-Pierre Arguin

  • Tutorial Fellow of Complex Systems
  • Professor of Mathematics


I studied Mathematics and Physics at Université de Montréal for my undergraduate and Masters studies. I then went to Princeton University where I completed my PhD in Mathematics in 2007. For my post-doctoral studies, I spent one year at the Weierstrass Institute in Berlin and three years at New York University. Before joining Lincoln College and the Mathematical Institute of Oxford University in 2023, I have held positions at Université de Montréal, and at Baruch College and the Graduate Center of the City University of New York.

College teaching

My college teaching is focused on topics from the undergraduate Mathematics syllabus and mathematical topics from the undergraduate Physics syllabus.


My research interests lie at the intersection of mathematics and physics. More specifically, I am interested in rigorously describing the behaviour of complex systems such as spin glasses and interacting particle systems. This entails developing new mathematical tools in statistical mechanics, probability, and random matrix theory. Recently, I have been interested in applying such tools developed for complex systems to obtain precise asymptotics of L-functions in number theory, such as the Riemann zeta function.

Select publications

Large Deviation Estimates of Selberg’s Central Limit Theorem and Applications, Int. Math. Res. Not.  2023.

Maximum of the Riemann zeta function on a short interval of the critical line, Comm. Pure Appl. Math. 72, 2019.

A first course in stochastic calculus, Pure Appl. Undergrad. Texts 53, AMS 2022. ISBN:978-1-4704-6488-2

Moments of the Riemann zeta function on short intervals of the critical line, Ann. Probab. 49, 2021.

A relation between disorder chaos and incongruent states in spin glasses on Z^d, Comm. Math. Phys. 367, 2019.