Lindelöf hypothesis

Today I stumbled across a news article ( link ) written about someone (actually, Athanassios Fokas – a known mathematician) having announced progress on the Lindelöf hypothesis ( wikipedia ). The Lindelöf hypothesis is related to the Riemannian hypothesis and actually also follows from it – progress on the Lindelöf hypothesis would also mean progress … Continue reading "Lindelöf hypothesis"

Reports on Impact of Mathematics

A week ago the EMS posted links to reports on the impact of mathematical research on society and economy. You can access these reports here: link. Though probably for many too long to read in detail, reading just the introductions is already interesting.

Multiplying integers

The classical algorithm, that everyone knows from elementary school, for multiplying two n-digit integers runs in \(O(n^2)\)-time. Recently, there was a preprint posted on HAL (link) in which the authors provide an algorithm which runs in \(O(n\log(n))\)-time. A nice article about this discovery may be found at the QuantaMagazine: link. Further, it was also recently proven in another preprint … Continue reading "Multiplying integers"

Two quite different prizes

In the last few weeks were two quite different prizes awarded, on which I want to report. In March 14th, 2019, the L’Oréal-UNESCO For Women in Science International Awards (homepage, UNESCO webpage, wikipedia) were presented to five women. One of the five laureates is Claire Voisin (wikipedia) who is “rewarded for her outstanding work in algebraic geometry. Her pioneering … Continue reading "Two quite different prizes"