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William Fitzgerald

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About me

I am a second 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 the KPZ universality class.

Background

As part of the MASDOC programme, I completed an MsC at the University of Warwick in 2016. Before this, I completed an MMath degree at the University of Oxford in 2015. My final year dissertation was on probabilistic techniques in fractal geometry.

Past and Upcoming Events

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.

Talks and Reading Groups

Pfaffian point processes in coalsecing and annihilating Brownian motions, Masdoc Retreat, May 2018.

Reflected Brownian motions and random matrix theory I and II, Mathematical Physics and Probability Reading Seminar, October 2017.

Busemann functions in First Passage Percolation, Probability Reading Group, November 2017.

Exactly solvable models in the KPZ Universality Class, Masdoc Retreat, June 2017.

Exactly solvable reaction diffusion models, Joint CDT Colloquium, Edinburgh, April 2017.

Coalescing and Annihilating Brownian motions, Mathematical Physics and Probability Reading Seminar, May 2017.

Stochastic Six Vertex Model and Interacting Particle systems, Mathematical Physics and Probability Reading Seminar, November 2016.

Teaching

I have been a teaching assistant or supervisor for the following modules:

ST333: Applied Stochastic Processes, 2017 - 2018.

ST115: Introduction to Probability, 2017 - 2018.

First year supervisions, 2016 - 2017.