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Current Postgraduate Research Students

Dan Fretwell supervises 1 postgraduate research students. If these students have produced research profiles, these are listed below:

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Dr Dan Fretwell

Lecturer - Security and Protection Science

Dan Fretwell

Fylde College

LA1 4YF

Lancaster

PhD supervision

Projects in Algebraic Number Theory and related areas (in particular projects concerning the arithmetic of Modular Forms and Galois Representations). Interested in projects concerning applications to Cryptography and Cyber Security.

Research Interests

My main area of research is (Algebraic) Number Theory. In particular, I work on problems that involve a wide range of objects, from extremely explicit to mind bogglingly abstract:

  • Quadratic forms, lattices, error correcting codes, integer valued polynomials, diophantine equations.
  • Modular forms, elliptic curves, number fields, clifford algebras, quaternion algebras.
  • Automorphic forms, Galois representations, L-functions, Bloch-Kato Selmer groups.

Career Details

I received my PhD in Mathematics from the University of Sheffield in 2015, under the supervision of Prof. Neil Dummigan. After, I was a Heilbronn Research Fellow at the University of Bristol until 2022, working on research of both theoretical and practical importance in Mathematics. I was a Lecturer of Mathematics at the University of South Wales 2022-2023.

Web Links

Current Teaching

MATH320: Mathematical Cryptography

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