2019 CMI-HIMR Summer School in Computational Number Theory

17 – 28 June 2019

Venue: Lecture Theatre 1.15, Queen’s Building, University of Bristol, UK

Jointly funded by the Clay Mathematics Institute and the Heilbronn Institute for Mathematical Research.

Organisers: 

Jennifer Balakrishnan (Boston University) 
Tim Dokchitser (University of Bristol)

Invited Speakers

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 (see links to lecture notes and exercises)

o Céline Maistret (Boston) | Computational aspects of the Birch and Swinnerton-Dyer Conjecture (Lecture notes and exercises)
o Adam Morgan (Glasgow) | Local arithmetic of curves and Jacobians (Lecture notes 1-4)
o Rachel Newton (Reading) | The Hasse norm principle (Exercises)
o Samir Siksek (Warwick) | Explicit arithmetic for modular curves (Exercises)

Week 2 (see links to lecture notes and exercises)

o John Cremona (Warwick) | Arithmetic statistics (Outline and reference), (Exercises), (Exercises 2)
o Steffen Mueller (Groningen) | Rational points on curves (Course outline), (Lecture notes and exercises 1-3)
o Andrew Sutherland (MIT) | Computing Zeta functions and L-functions of curves (Outline and Exercises)
o John Voight (Dartmouth College, USA) | Computing endomorhism rings of Jacobian (Exercises)

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For more information please email the Heilbronn events team at  heilbronn-coordinator@bristol.ac.uk

Information on past and future summer schools is available here

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