CMI-HIMR Summer School in Computational Number Theory

11 Sep 2018, by franblake in Events

17 -28 June 2019
Lecture Theatre 1.15, Queen’s Building, University of Bristol

Organisers:  Jennifer Balakrishnan (Boston University) and Tim Dokchitser (University of Bristol)

A postgraduate mathematics 2 week summer school jointly funded by the Clay Mathematics Institute and the Heilbronn Institute for Mathematical Research. Student places are offered with accommodation, refreshments and subsistence allowance.

8 speakers have been invited to deliver 4 hours of lectures each with discussion workshops scheduled for each topic:

John Cremona (Warwick)
Céline Maistret (Boston)
Adam Morgan (Glasgow)
Steffen Mueller (Groningen)
Rachel Newton (Reading)
Samir Siksek (Warwick)
Andrew Sutherland (MIT)
John Voight (Dartmouth College, USA)

Week 1:
Celine Maistret: Computational aspects of the Birch and Swinnerton-Dyer Conjecture
Adam Morgan: Local arithmetic of curves and Jacobians
Rachel Newton: The Hasse norm principle
Samir Siksek: Explicit arithmetic of modular curves

Week 2:
John Cremona: Arithmetic statistics
Steffen Mueller: Rational points on curves
Andrew Sutherland: Zeta functions and L-functions of curves and abelian varieties
John Voight: Computing endomorphism rings of Jacobians

Full programme can be found here: FINAL Summer School Programme

Main lectures will take place in Lecture Theatre 1.15, there are also two breakout spaces, 1.58 and 1.68, reserved for student use.  

For queries relating to practical information (application form, accommodation, subsistence, travel etc ), please contact


For lecture notes and course outlines please see teachers’ name below:

Samir Siksek’s exercises  

Adam Morgan lecture notes 1-4

Rachel Newton- Exercise sheet

Steffen Mueller- Course outline

Celine Maistret – Lecture notes and exercises

John Voight Exercises

John Cremona Outline

John Cremona Exercises

John Cremona Exercises 2

Steffen Muller Lecture Notes and Exercises 1-3 (updated)

Andrew Sutherland Outline and Exercises 


Summer School Class Photo