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Article
Mathematics: Proof of passion
Marcus du Sautoy is enthralled by a personal journey into mathematics centring on the Langlands program.
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Chapter
Prime Time Entertainment
When David Beckham moved to Real Madrid, there was a lot of speculation in the British media about why he chose the 23 shirt. Some suggested it was a cynical move by Real Madrid to sell a lot of football shirt...
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Chapter and Conference Paper
Symmetry: A Bridge Between the Two Cultures
When I was a kid I didn’t want to be a mathematician at all. My dream was to become a spy. This dream was fueled by my mother who had been in the foreign office before she’d had children. But becoming a mother wa...
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Book
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Chapter and Conference Paper
Un divertissement in prima serata
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Article
Linearity of Zp[[t]]-Perfect Groups
Let G be a p[[t]]-standard group of level 1. Then G is p[[t]]-perfect if its lower central series is given by powers of the maximal ideal (p, t), i.e. if γn(G) = G((p,t)n). We prove that a p[[t]]-perfect group is...
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Article
Motivic zeta functions of infinite-dimensional Lie algebras
The paper shows how to associate a motivic zeta function with a large class of infinite dimensional Lie algebras. These include loop algebras, affine Kac-Moody algebras, the Virasoro algebra and Lie algebras ...
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Article
A nilpotent group and its elliptic curve: Non-uniformity of local zeta functions of groups
A nilpotent group is defined whose local zeta functions counting subgroups and normal subgroups depend on counting points modp on the elliptic curvey 2=x 3−x. This example answers ...
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Article
Countingp-groups and nilpotent groups
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Book
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Chapter
Where the Wild Things Are: Ramification Groups and the Nottingham Group
Group theorists have recently been interested in a pro-p group known as the Nottingham group. This group \(\mathcal{N}\left( {{\mathbb{F}_p}} \right)\) is defined as the set of power se...
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Chapter
Zeta Functions of Groups
A zeta function is an analytic function whose analytic properties somehow encapsulate a tremendous amount of arithmetic information. These functions are an uncannily powerful tool in number theory; to mention ...
