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Dr Dan Fretwell

Dr Dan Fretwell

Dr Dan Fretwell
PhD(Sheff), MMath(Sheff), BSc(Sheff)

Heilbronn Research Fellow

Area of research

Number Theory

University Walk,
Clifton, Bristol BS8 1TW
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Research summary

I am mainly interested in modular forms, in particular congruences between Hecke eigenvalues of particular types of modular form. Perhaps the most famous of these is Ramanujan's 691 congruence (linking the Ramanujan tau function with the 11th power divisor sum modulo 691).

One such congruence that I am interested in is between the Hecke eigenvalues of genus 2 and genus 1 Siegel modular forms. Such a congruence was predicted by Harder in 2002 and remains unproven. Even finding evidence of such congruences is tough and is the scope of my current research.

In order to find evidence for these congruences I have ...

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Recent publications

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