Perovskites

ESEAC technology

Semiconductor Spin Qubits

Electrical Read-Out of a Single Spin Using an Exchange-Coupled Quantum Dot

Theoretical Mathematics: towards a cultural synthesis of mathematics and theoretical physics

Harvard mathematics professor Arthur Jaffe discusses what math can learn from the intuitive, freewheeling nature of theoretical physics and what it should avoid. A word of caution for the aspiring theorist:

"...unreliability is certainly a problem in theoretical physics, where the primary literature often becomes so irrelevant that it is abandoned wholesale. I. M. Singer has compared the physics literature to a blackboard that must be periodically erased.

He does charitably conclude that physicists should not be "rejected as incompetent traditional mathematicians" after all.

Random graphs

I am interested by the properties of what Paul Erdős and Alfréd Rényi called random graphs. I encountered these in Allen B Downey's excellent book Think Complexity which uses Python to reimplement Watts and Strogatz's result that small modifications of random graphs can closely replicate the structure of social networks and other interesting "small-world" networks. It also explores the behavior due to Barabási and Albert of random graphs as they grow.