Mr Harry Griffiths
(he/him)
Teams and roles for Harry Griffiths
Graduate Tutor
Research student
Overview
After gradudating with a BSc (Hons) Mathematics at the University of Surrey, I joined Cardiff Univeristy as a full-time Maths PhD student.
My ongoing research here entails higher dimensional joint ordered factorisations and their relation to additive systems. In addition to Number Theory, my research interests include Complex Analysis, Analytic PDEs in Fluid Dynamics and Weather Systems, and Graph/Knot Theory.
Also I work at Cardiff University as a graduate tutor. This work includes assiting with tutorials for 1st year undergrad students, and running Maths Support sessions for students of all years.
Research
PhD Research
My current research as part of my PhD has begun with looking at how my supervisor (Dr Matthew Lettington) and co-supervisor's (Professor Karl Schmidt) result with m-dimensional joint ordered factorisations compare with prior results in relevent publications. After this we shall be investigating how we can write c-irreducible polynomial constructions in terms of joint ordered factorisations, and subsequently how irreducible c-factorisations clump prime factors of a certain form.
Other Research Interests
- As part of a Summer Research Internship, I began looking to improve on current published results for upper bounds on primes (bounds of the form (1 + epsilon)n). This follows from work on Bertrand's Postulate and Ramanujan's estimates.
- Using Knot Theory to better understand the Collatz Conjecture
- Complex Analysis with regards to identities and multiplicative inverses
- Boundary Value Problems of the Monge-Ampere Equation