Leiden: Talk by Manjul Bhargava22-1-2010 (friday)
Title: Binary quartic forms and ranks of elliptic curves
Place: Snellius building (Niels Bohrweg 1, Leiden), room 405
We prove a theorem giving the asymptotic number of binary quartic
forms having bounded invariants; this extends, to the quartic case,
the classical results of Gauss and Davenport in the quadratic and
cubic cases respectively. We use this counting result to prove - among
other things - the boundedness of the average rank of elliptic curves
when ordered by their heights.
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Mathematics cluster DIAMANT
NMC / Diamant symposium3-4-2018 - 5-4-2018
3 DIAMANT PhD positions awarded19-12-2017
NWO, following a shortlist provided by the DIAMANT board, has decided to award 3 PhD positions to young DIAMANT members: Dion Gijswijt (TU Delft), Jan Steffen Müller (RUG) and Arno Kret (UvA).
DIAMANT funding continued 19-12-2017
The funding of all four mathematics clusters has been continued by NWO. For the coming two years 85 kE will be available in each cluster.
NWO Call for Tenure Track positions22-7-2016
NWO has opened a call for tenure track positions. Proposals for these positions, which include one PhD position for each tenure track position, can be submitted directly to NWO by professors from the 4 mathematics clusters, including Diamant. Diamant professors are warmly encouraged to submit proposals. Read more.
Dion Gijswijt and Jordan Ellenberg independently substantially improve capset bound 25-5-2016
A capset in a finite dimensional vector space over the field with 3 elements is a subset that contains no 3-term arithmetic progressions. Dion Gijswijt (TU Delft) and Jordan Ellenberg have independently obtained a bound on the size of a capset that for the first time improves substantially on the trivial bound 3^n. Read more in Terence Tao's blog about these developments.