Quantum invariants have emerged as powerful algebraic and numerical tools that encapsulate the subtleties of topological structures. By drawing on quantum group theory and the constructs of ...

Noncommutative geometry, at its core, challenges the classical notion of a point by allowing coordinates to fail to commute. This alteration leads to a rich interplay between geometry and algebra, ...

This article is the first part of a series about quantum field theory published by Quanta Magazine. Other stories in the series can be found here. Over the past century, quantum field theory has ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

The 2022 von Kaven Award of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) goes to Heisenberg Professor Dr. Gandalf Lechner, Erlangen, for his achievements in the mathematical ...

Even in an incomplete state, quantum field theory is the most successful physical theory ever discovered. Nathan Seiberg, one of its leading architects, talks about the gaps in QFT and how ...

Quantum field theory marries the ideas of other quantum theories to depict all particles as “excitations” that arise in underlying fields. The British physicist Paul Dirac started the ball rolling in ...

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