I am primarily interested in random walks on random media, particularly those relating to random trees and random maps.
In my first year at Warwick I also worked on a research study group on stochastic integrable systems with George Vasdekis and Stephen Pidgeon, supervised by Prof. Nikos Zygouras and Dr. Yacine Barhoumi. We studied KPZ properties of domino growth models using bijections between domino configurations and a class of polynomials. Prior to that, I completed an undergraduate project jointly with Igor Spasojevic on collisions of random walks, supervised by Dr. Perla Sousi.
I am also interested in random permutations, and their applications to statistical physics.
Brownian motion on stable looptrees, 2019 (preprint)
Infinite stable looptrees, 2019 (preprint)
Talks and Posters:
Random Walks on Looptrees and Related Problems, Saint Flour Summer School, July 2018
Random Walks on Looptrees and Related Problems, UK Joint CDT Colloquium, University of Oxford, April 2018
Volume Growth and Heat Kernel Estimates for Stable Looptrees (poster), UK Easter Probability Meeting, University of Sheffield, April 2018
Random Walks on Fractals, Postgraduate Seminar, University of Warwick, October 2017
I also regularly present in the Probability Reading Group, and at the annual MASDOC Retreat.
Events Attended and Research Visits:
Stochastic Processes and Related Topics, Kansai University, February 2019
Visit to Kyoto University, January-March 2019, partially supported by LMS
48th Probability Summer School, Saint Flour, France, July 2018
21st Takagi Lectures, RIMS, Kyoto University, June 2018
Visit to Kyoto University, May-June 2018, supported by GBSF
UK Joint CDT Colloquium, University of Oxford, April 2018
UK Easter Probability Meeting, University of Sheffield, April 2018
Probabilistic Approaches in Mathematical Physics, Summer School, Basque Centre for Applied Mathematics, Bilbao, July 2017
Recent Progress on the Geometry of Random Walks (Peter Whittle Colloquium), University of Cambridge, May 2017
Teaching Assistant for ST202 Stochastic Processes, Term 2 2017/18
Teaching Assistant for ST116 Mathematical Techniques, Term 1 2017/18 and Term 1 2018/19
Teaching Assistant for MA258 Analysis III, Term 1 2017/18
GCSE Difficulty Judge for Ofqual, intermittent since 2017
A level tutor, academic year 2015/16
Student STEP Mentor at University of Cambridge Study School, April 2014
I am currently the 2018/19 chair of the MASDOC SSLC, and am jointly responsible for organising the 2019 Joint CDT Colloquium. During my undergraduate degree, I took on a variety of roles on student committees, most notably as captain of King's College Boat Club.
I can be contacted via email at E.Archer.firstname.lastname@example.org and my office is B0.24.