Donga Science

Gerd Faltings wins Abel Prize for foundational work in arithmetic geometry

Gerd Faltings, Director Emeritus at the Max Planck Institute for Mathematics in Germany, has been named the 2026 Abel Prize ...
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.
Wired

‘Nasty’ Geometry Breaks a Decades-Old Tiling Conjecture

Since the conjecture was already known to be true in one and two dimensions, they sought to prove it in three: to show that if you can shift copies of one shape to tile all of three-dimensional space, ...
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 ...
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 ...
Wired

‘Nasty’ Geometry Breaks a Decades-Old Tiling Conjecture

They made some progress, re-proving the conjecture in two dimensions using different techniques—ones they hoped would be applicable to the three-dimensional case. But then they hit a wall. “At some ...