Mr Blake Ashworth


Role

- Research Assistant: Summer 2021

  • Supported work in investigating credible regions in COVID-19 modelling for daily new infection cases and hospitalisation numbers, including new admissions and discharges.
  • Main focus was to analyse a whether a random sample on a daily basis demonstrates a good fit to a probability distribution, discrete and/or continuous, and hence providing suitable credible regions (confidence intervals) to our known daily observations and model solutions.
  • The work was supported by Anotida Madzvamuse, James Van Yperen and Eduard Campillo-Funollet.

 

- PhD Mathematics: Autumn 2016 - Summer 2020

  Project: Numerical methods for solving higher order nonlinear partial differential equations 

  Thesis Title: Structure-preserving variational schemes for fourth order nonlinear partial differential equations with a    Wasserstein gradient flow structure.

  • My role involved investigating new gradient flow schemes for solving higher-order nonlinear partial differential equations (PDEs).    
  • Initially, this involved investigating evolution equations with underlying gradient flow structures and the variational formulation of these equations in the Wasserstein case.
  • This project was funded by the Leverhulme Trust and supervised by Bertram Duering, assisted by David McCormick.

Qualifications

  • 2016 - 2020: PhD Mathematics

- Title: Structure preserving discretisations for solving higher order nonlinear nonlinear partial differential equations with a Wasserstein gradient flow structure

- Supervisor: Professor Bertram Duering

- June 2017: Associate Fellow of the Higher Education Academy (AFHEA)

- Spring 2017: Advanced PDEs & Numerical Solutions to PDEs (94%)

- Autumn 2016: Mathematical Fluid Mechanics (93%) & Starting to Teach in MPS

  

  • 2010-2014: MMath Mathematics

- First Class Honours

- MMath Project (2013/14): Zubov's equation, supervised by Peter Giesl

Activities

  • PhD related activities:

- July 2019: ICIAM Conference - Valencia

Contributed Paper Talk

Title: Convergence of higher-order numerical methods for fourth order nonlinear diffusion equations

 

- June 2018: SIAM UKIE National Student Chapter Conference - University of Bath

Poster Presentation: (See PGR conference below).

  

- March 2018: PGR Conference, University of Sussex - Poster Competition

Poster Title: Discretisations of Wasserstein gradient glows for solving higher order nonlinear PDEs.

Awarded the BEST Poster Presentation.

 

- June 2017: Summer School of Analysis and Applied Mathematics - La Sapienza, Rome

A week long school programme with a focus on my PhD related field, optimal transportation. 

 

 

  •  In addition to University studies:

- 2015-16 & 2020 - present: Private Mathematics Tutor - A Level, GCSE and Lower Secondary.

- 2020-21: Student Mentoring.

- Spring 2020: Front desk assistant - School of Mathematical and Physical Sciences.

- Autumn 2018-19, Spring 2019-20: In-class test invigilator (Small Group Lead, Individual, Reader and Prompter).

- May-June, August 2019 & January 2020: Exam Invigilator - Main Assessment Periods (Large & Small Groups and Reader).

- 2007 - present: Lieutenant for the International Longbow Archers Association (ILAA).

- 2012-16: St John Ambulance volunteer, including a member of Sussex LINKS til 2014.