A new study published in Nature Physics introduces a theory of electron-phonon coupling that is affected by the quantum geometry of the electronic wavefunctions. The movement of electrons in a lattice ...

Quantum K‐theory represents a significant advancement in our understanding of both algebraic geometry and representation theory by integrating quantum corrections into classical K‐theory. This ...

Information Geometry (IG) is an active interdisciplinary field, employing that employs the tools of differential geometry to explore the structure of classical and quantum statistical models of ...

Abstract: The increase in information technologies has generated the need to implement new methodologies to secure the exchange of information. This paper proposes a cryptographic algorithm based on ...

There is a certain old-fashioned elegance in the way Professor Nicolai Reshetikhin teaches. In an age dominated by digital presentations and slide decks, this world-renowned mathematical physicist ...

In the field of Differential Geometry we are concerned with Riemannian manifolds or more generally (inner) metric spaces. We are interested in the interplay between their curvature and global ...

ABSTRACT: We present a proof of the Strominger-Yau-Zaslow (SYZ) conjecture by demonstrating that mirror symmetry fundamentally represents an equivalence of computational structures between Calabi-Yau ...

Exploring the BTZ black hole in (2+1)-dimensional gravity took me down a fascinating rabbit hole, connecting ideas I never expected—like black holes and topological phases in quantum matter! When I ...