Research Student of Prof. T. D. Wooley, FRS.
Email: Sean.Prendiville@Bristol.ac.uk
Office: 5th Floor, Howard House, Queens Avenue, Bristol, BS8 1SN, United Kingdom
Research Interests: Analytic Number Theory, Combinatorics, Analysis.
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Research Student of Prof. T. D. Wooley, FRS. Email: Sean.Prendiville@Bristol.ac.uk Office: 5th Floor, Howard House, Queens Avenue, Bristol, BS8 1SN, United Kingdom Research Interests: Analytic Number Theory, Combinatorics, Analysis.
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Lecture Notes.
Aspects of Sieve Methods From a Slightly Personal Point of View - A series of 6 lectures given by Prof. Christopher Hooley FRS in January 2009. Comments and corrections would be gratefully received at the above email address.
Analytic Number Theory - A course given by Tim Browning as part of the TCC (autumn 2007). I have only typeset up to the proof of the prime number theorem, which is less than half of the course. I've also made a bit of a meal out of sections 4-6, but have yet to find the energy to revise them.
Number Theory Reading Group - A few of us number theory graduate students at Bristol have a reading group. So far we've learnt about exponential sums over binary forms, the number of integral points on arcs and ovals and we've introduced ourselves to p-adic analysis through problem solving. This term we're learning the rudiments of geometry of numbers by teaching each other. In this blog we record our lecture notes and (hopefully) discuss the material.
Sketches.
The following sketches of well known mathematical results were composed for my benefit. I have made them available online because I tend to write with a little more intellectual honesty if there is a risk someone might read it.
Newton's Identities - I couldn't find a proof for this simple result online and enjoyed discovering this one so much I typed it up.
Sketch of the Selberg sieve method. - An exposition very closely resembling the account given in Montgomery & Vaughan.
Waring's Problem and the Circle Method - A very rough pedantic exposition, performed in order to relearn the rudiments of the circle method. I can't remember if I finished checking it, but thought I better not spend any more time on it.
Music Page: The Kitchen Is My Disco
