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William FitzGerald

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About me

I am a final year PhD student at the University of Warwick in the MASDOC Centre for Doctoral Training. I am supervised by Jon Warren, Roger Tribe and Oleg Zaboronski.

Research Interests

My research interests are in probability theory and include coalescing and annihilating Brownian motions, random matrix theory and models within the KPZ universality class.

Preprints

(with R. Tribe and O. Zaboronski) Sharp asymptotics for Fredholm Pfaffians related to interacting particle systems and random matrices, arXiv: 1905.03754

(with J. Warren) Point-to-line last passage percolation and the invariant measure of a system of reflecting Brownian motions, arXiv: 1904.03253

Email

W.Fitzgerald@warwick.ac.uk

Background

MsC in Mathematics and Statistics, University of Warwick, 2016.

MMath in Mathematics, University of Oxford, 2015.

Past and Upcoming Events

Integrability and Randomness in Mathematical Physics and Geometry, CIRM, April 2019.

Brunel - Bielefeld Workshop on Random Matrix Theory XIV, Brunel University, December 2018.

Randomness and Symmetry, University College Dublin, June 2018.

Log-Correlated Fields, Hausdorff School, Bonn, June 2018.

UK Easter Probability Meeting, University of Sheffield, April 2018.

Classical and Quantum Motion in Disordered Envirnoment, Queen Mary, University of London, December 2017.

Random Structures in Statistical Mechanics and Mathematical Physics, CIRM Research School, March 2017.

Brunel - Bielefeld Workshop on Random Matrix Theory XII, Brunel University, December 2016.

Random Matrix Theory and Strongly Correlated Systems, University of Warwick, March 2016.

Probabilistic Models - from Discrete to Continuous, University of Warwick, March 2016.

Developments in Modern Probability, LMS - CMI Research School, University of Oxford, July 2015.

Teaching

MA4F7/ST403: Brownian motion, 2018 - 2019.

ST333: Applied Stochastic Processes, 2017 - 2018.

ST115: Introduction to Probability, 2017 - 2018.

First year supervisions, 2016 - 2017.