Below is a list of various things I've been involved with academia wise in recent times...

Publications

1. Heat flow in polygons with reflecting edges, Integral Equations and Operator Theory, 2023 (joint work with K. Gittins)

2. On the isoperimetric and isodiametric inequalities and the minimisation of eigenvalues of the Laplacian, Journal of Geometric Analysis, 2025.

Conference/Seminar Talks

1. Shape Optimisation and Spectrum of Laplacian, Undergraduate Projects Colloquium, Durham University, 22nd June 2021

2. Heat Flow Problems For Polygons, Early Career Researchers in Mathematics Conference, University College London, 22nd June 2022

3. Heat flow within polygons with reflecting boundary, Analysis & PDE Seminar, Durham University, 15th September 2022

4. A brief introduction to spectral shape optimisation, ECRM 2023, Durham University, 11th-14th July 2023. 

5. Asymptotically minimising  Neumann and Zaremba eigenvalues, UK Spectral Theory Workshop, University of Bristol, 4th September 2023

6. Asymptotically minimising  Neumann and Zaremba eigenvalues, Shape Optimisation and Isoperimetric and Functional Inequalities Conference, Levico Terme, 18th-22nd September 2023

7. On the geometric stability of Weyl's law and some applications to asymptotic spectral shape optimisation, Spectral geometry in the clouds online seminar, 2nd October 2023

8. A brief foray into asymptotic spectral shape optimisation, Geometric Spectral Theory Meeting, Université de Neuchâtel, 14th-16th November 2023

Conferences attended (+upcoming)

1. Durham Days of Analysis and PDEs, Durham University (online), 1st-2nd July 2021

2. Spectral Theory and PDEs, Durham University, 15th-16th September 2021

1. Early Career Researchers in Mathematics Conference,  University College London, 21st-24th June 2022

2. Durham Days of Analysis and PDEs II, Durham University (online), 4th-6th July 2022

3. Shape Optimisation and Geometric Spectral Theory, ICMS, Edinburgh, 20th-23rd September 2022

4. Spectral Geometry and its Applications (on the occassion of the 60th birthday of Michael Levitin), Université Laval, Québec City, 8th-12th May 2023

5. Early Career Researchers in Mathematics 2023, Durham University, 11th-14th July 2023. 

6. 2023 LMS Invited Lecture Series on Optimal Transport, Durham University, 17th-21st July 2023

7. UK Spectral Theory Workshop, University of Bristol, 4th-6th September 2023

8. Shape Optimisation and Isoperimetric and Functional Inequalities, Levico Terme, 18th-22nd September 2023

9. Geometric Spectral Theory Meeting, Université de Neuchâtel, 14th-16th November 2023.

10. UK Workshop on Spectral Thory, International Centre for Mathematical Sciences, Edinburgh, 9th-13th September 2024

Regular seminars (attending most weeks)

1. Analysis & PDE Seminar, Durham University (online), Epiphany Term 2021 onwards

2. Spectral Geometry in the Clouds, online, October 2021 onwards

Courses attended

1. Geometric Spectral Theory, Professor Iosif Polterovich, Université de Montréal, Fall 2021

2. Spectra and geometry of graphs and networks, Professor Norbert Peyerimhoff, MAGIC Maths, Michaelmas 2021

3. The Isoperimetric Inequality Outside Convex Sets, Professor Nicola Fusco, TopMath Online Seminars in Analysis, Technical University of Munich, 11th November to 23rd December 2021

Teaching

1. 2021/22: Marker for the 3rd Year Analysis course in both Michaelmas and Epiphany terms.

2. 2022/23: Tutor for two groups of the 1st Year Analysis course in both Michaelmas and Epiphany terms.

Departmental Involvement

1. Member of the Durham local organising committee for the Academy for PhD Training in Statistics (APTS) in 2022.

2. Co-organiser of the GANDALF (Geometry, Analysis and Algebra Forum) Postgraduate Seminar with Alexander Jackson 2022/23.

3. Part of the organising committee for the Early Career Researchers in Mathematics Conference (ECRM) 2023 which was hosted in  Durham, kindly supported by the Durham Centre for Academic Development, Heilbronn Institute for Mathematical Research, London Mathematical Society and the MAGIC Consortium.

Prizes

1. Willmore Postgraduate Prize in Pure Mathematics, Durham University, 2024

2. 4H Project Prize in Mathematical Sciences, Durham University, 2021