Scientific Organisers:
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Alex Bartel, University of Glasgow
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John Voight, Dartmouth College
About:
Celebrating the Mathematics of Hendrik Lenstra
This workshop brought together leading, as well as early career, researchers on arithmetic statistics and on algorithmic aspects of algebra and number theory, with the aim of fostering collaborations within and between these communities, and offered early career researchers the opportunity to get a broad overview of the most recent achievements and of the most pressing problems in these fields. The workshop also celebrated the mathematics of Hendrik W Lenstra Jr.
Resources
Programme:
All times are British Summer Time (BST)
| Monday 10 April | ||
| Registration and Refreshments | ||
| Welcome and Housekeeping | Alex Bartel and Simon Kershaw | |
| Bjorn Poonen, MIT | Integral points on curves via Baker's method and finite étale covers | |
| Lunch Break | Lunch served at ICMS | |
| Melanie Matchett Wood, Harvard University | Conjectures for distributions of class groups when there are roots of unity in the base field | |
| Refreshments | ||
| Carl Pomerance, Dartmouth College | Digits | |
| Welcome Reception | hosted at ICMS | |
| Tuesday 11 April | ||
| Drew Sutherland, MIT | A database of modular curves | |
| Refreshments | ||
| Eva Bayer, EPFL | Isometries of lattices and automorphisms of K3 surfaces. | |
| Lunch Break | Lunch served at ICMS | |
| Rene Schoof, Tor Vergata | Greenberg’s $\lambda=0$ conjecture | |
| Refreshments | ||
| Ashvin Swaminathan, Harvard University | Affine symmetric spaces and class groups of cubic fields | |
| Lightning Talks 1 | Erik Holmes (University of Calgary), Aaron Landesman (MIT), Sebastian Monnet (LSGNT) and Sameera Vemulapalli (Princeton University) | |
| Wednesday 12 April | ||
| Lillian Pierce, Duke University | A polynomial sieve: beyond separation of variables | |
| Refreshments | ||
| Adam Morgan, Univ. of Glasgow | Hasse principle for Kummer varieties in the case of generic 2-torsion | |
| Rachel Newton, King's College London | Statistics of the Hasse norm principle | |
| Lunch Break | Lunch served at ICMS | |
| Free afternoon for participants | ||
| Thursday 13 April | ||
| Arul Shankar, University of Toronto | Polynomials corresponding to maximal rings and the Bertini theorem for P^1(Z) | |
| Refreshments | ||
| Kiran Kedlaya, University of California San Diego | Angle ranks of abelian varieties | |
| Lunch Break | Lunch served at ICMS | |
| Wei Ho, IAS / Princeton / Michigan | Selmer averages in families of elliptic curves and applications | |
| Refreshments | ||
| Francois Morain, Ecole Polytechnique | Factoring with oracles | |
| Lightning Talks 2 | Sarah Arpin (Universiteit Leiden), Jef Laga (Princeton University), Ross Paterson (University of Bristol), Caleb Springer (UCL) | |
| Workshop Dinner | Playfair Hall, Surgeon's Quarter | |
| Friday 14 April | ||
| Kirsten Eisentraeger, Penn State University | Classical and quantum algorithms for problems from number theory | |
| Refreshments | ||
| Samir Siksek, University of Warwick | S-unit equations and curves with few primes over cyclotomic Z_l extensions | |
| Lunch Break | Packed lunch available for participants to take away | |
| Workshop Ends |
