Quantum Matter from Algebraic Geometry and Number Theory

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

A chapter in Nankai Symposium on Mathematical Dialogues, 2026, pp 289-292 from Springer

Abstract: 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.

Date: 2026
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DOI: 10.1007/978-981-19-2328-9_33

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