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Quantum Matter from Algebraic Geometry and Number Theory

In: Nankai Symposium on Mathematical Dialogues

Author

Listed:
  • Steven Rayan

    (University of Saskatchewan, Centre for Quantum Topology and Its Applications (quanTA) and Department of Mathematics & Statistics)

Abstract

The exciting and rapidly-growing field of topological materials has brought with it unexpected new connections between physics and pure mathematics. Algebraic topology in particular has played a significant role in classifying topological materials. In this brief note, I report on joint work with J. Maciejko and offer a brief look at another emerging chapter in this story in which algebraic geometry and number theory anticipate new forms of quantum matter associated to hyperbolic lattices.

Suggested Citation

  • Steven Rayan, 2026. "Quantum Matter from Algebraic Geometry and Number Theory," Springer Books, in: Yang-Hui He & Mo-Lin Ge & Cheng-Ming Bai & Jiakang Bao & Edward Hirst (ed.), Nankai Symposium on Mathematical Dialogues, pages 289-292, Springer.
  • Handle: RePEc:spr:sprchp:978-981-19-2328-9_33
    DOI: 10.1007/978-981-19-2328-9_33
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