Momentum is building for quantum computing and some observers say that a usable, fault-tolerant quantum system could appear ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new ...

His research in this area explores the geometry and topology of low-dimensional manifolds, particularly on spaces with hyperbolic geometry or negative curvature. He has made significant contributions ...

Manifold theory allows scientists to add these dimensions and at least attempt to rationalize them, something difficult to do using a three-dimensional human mind.

Led by Boston College physicist Qiong Ma, an international team working with single-atom thick crystals found TaIrTe4’s transition between the two distinct topological states of insulation and ...

Such geometrical object looks in three-dimensional Euclidean space as its topological defect having stochastic and wave-corpuscular properties of quantum particle. All possible deformations ...