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Ryan Acosta Babb

ProfileI completed a 4 year BSc in Mathematics and Philosophy with Specialism in Foundations and Logic at the University of Warwick, and I am currently enrolled on the MASt in Mathematical Sciences programme, undertaking a project on Scaling Limits for Random Gaussian Fields supervised by Dr Stefan Adams.
In order to study a random process, it is easier to set it up on a "small" region and then gradually "stretch it out" until it covers the whole of space. This is called the thermodynamic limit. On the other hand, discrete processes (those with small "jumps" at constant intervals) are easier to study than "continuous" processes. We therefore begin with a discrete field defined on a "grid" and gradually "shrink" the grid (or "zoom out") until it looks like a continuous process on smooth space, with no "jumps". This is called a scaling limit. A crucial question is: how do these two limits interact? My project revolves around this question.

Academic History

2019-2020 (Current) MASt in Matematical Sciences University of Warwick
2015-2019 BSc (Hons) in Philosophy and Mathematics with Specialism in Foundations and Logic University of Warwick

Teaching

2019-2020 TA for MA260 Norms, Metrics and Topologies Wednesdays 12-1 B3.03
2019-2020 Supervisions Small Group Teaching (11 students)

MA260 Support Classes

Here is some material I discussed during the Support Class for Norms, Metrics and Topologies:

DISCLAIMER: This material is my own and I take full responsibility for its content and any mistakes it may contain. It has not been revised by the lecturers or any other member of the department.

Notes and slides