The Nevanlinna prize winner Constantinos Daskalakis explains why equilibrium may be unattainable and why it's good to be constructive.
Alessio Figalli has been awarded the Fields medal for his contributions, among other things, to optimal transport theory.
Caucher Birkar has been awarded the Fields medal for his contribution to algebraic geometry.
How can we get a grip on the uncertainties in mathematical models?
Can a mathematical object be said to exist if you can't construct it?
If you can prove that a statement can't possibly be false, does this mean it's true?