Mathematics Department Number Theory Group

Dr DR Solomon Department of Mathematics King's College London Strand, London WC2R 2LS United Kingdom Room 411, Strand Building Tel: +44-(0)20-7848 1165 (direct line) Tel: +44-(0)20-7848 2217 (general office) Fax: +44-(0)20-7848 2017 E-mail: david.solomon.AT.kcl.ac.uk

Research

I have studied the properties of the algebraic objects that arise from such fields, such as class-groups and $S$-units , particularly from the point of view of their structure as modules for the Galois group.

Much of my recent work has been related to the Stark conjectures for an abelian extension of number fields.

Naturally, there have been some `spin-offs' into other areas of number theory for, for instance Dedekind Sums, Shintani generating functions and Shintani cocycles

• LIST OF PAPERS AND PREPRINTS (some with links to pdf files)       

• RECENT TALKS IN PDF FORMAT:

  `New Ideals in Classical Iwasawa Theory' (Iwasawa 2008, Irsee, Germany, 30/06/08).     

  `Stickelberger's Theorem Revisited' (London Number Theory Seminar, 24/10/07).      Here is an Abstract       

  `L-functions at s=1 and Reciprocity Laws for Stark Units' (Southern California Number Theory Day, 14/10/06)       

  `Twisted Zeta Functions, Stark Conjectures and Hilbert Symbols'       

  `The Function \Theta_{K/k}(s) at s=1'       

`Introduction to the Abelian Stark Conjectures' (partial notes from a short course given at the Institut Henri Poincare in Nov./Dec. 2004, together with some relevant basic facts and notations )       

Teaching

Office hours and contact details

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