معرفی
Dan Fretwell is a Lecturer in Security and Protection Science within the School Of Mathematical Sciences at Lancaster University. His academic journey includes a PhD from the University of Sheffield (2015) under Prof. Neil Dummigan, a Heilbronn Research Fellowship at the University of Bristol (until 2022), and a Lecturer position at the University of South Wales (2022-2023).
His research spans Algebraic Number Theory with extensive work on:
- Quadratic forms, lattices, and error correcting codes
- Modular forms, elliptic curves, and number fields
- Automorphic forms, Galois representations, and L-functions
- Interacting particle systems with applications in Statistical Mechanics
Fretwell's work is significantly motivated by the Langlands program, focusing on computational evidence for conjectures and practical applications. His recent publications show a clear trajectory toward cybersecurity applications, particularly in cryptography and quantum computation. His 2025 publication on 2-superirreducible polynomials over finite fields demonstrates this applied direction. The publications collectively reveal expertise across pure number theory, computational mathematics, and increasingly relevant cryptographic applications.
He teaches MATH320: Mathematical Cryptography and supervises PhD students in Algebraic Number Theory with emphasis on Modular Forms and Galois Representations. His professional activities include public engagement through the STEM Lecturer Series, "The Magic of Maths" public lecture, Pint of Science events, and school outreach programs at Winstanley College and Rochdale Sixth Form College.
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