Nature

Arithmetic Geometry and Manin's Conjecture

Arithmetic geometry is a vibrant field at the intersection of number theory and algebraic geometry, focussing on the study of polynomial equations and the distribution of their rational solutions.
Quanta Magazine

‘Once in a Century’ Proof Settles Math’s Kakeya Conjecture

Consider a pencil lying on your desk. Try to spin it around so that it points once in every direction, but make sure it sweeps over as little of the desk’s surface as possible. You might twirl the ...
Quanta Magazine

Monumental Proof Settles Geometric Langlands Conjecture

In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. A group of nine mathematicians has proved the ...
Scientific American

Gerd Faltings, mathematician who proved the Mordell conjecture, wins the Abel Prize at age 71

This year’s Abel Prize, an annual lifetime achievement award for mathematics that is bestowed by the Norwegian Academy of ...
The Conversation

Millennium Prize: the Hodge Conjecture

Arun Ram receives funding from the Australian Research Council. MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in 2000 ...