nLab Matilde Marcolli

Matilde Marcolli is a mathematician of Italian origin, currently at Caltech, with a background in mathematical physics. She works on very diverse topics such as gauge theories, noncommutative geometry, arithmetic of quantum statistical mechanics, the combinatorics of renormalization, and motives.

She was a recipient of the Sonja Kovalevskaja prize and worked for several years at the Max Planck Institute for Mathematics in Bonn.

• web

• wikipedia

• research works

• talks: slides

Selected writings

On relation of AdS3/CFT2 to hyperbolic geometry and Arakelov geometry of algebraic curves:

• Yuri Manin, Matilde Marcolli, Holography principle and arithmetic of algebraic curves, Adv. Theor. Math. Phys. 5 (2002) 617-650 (arXiv:hep-th/0201036)

On the p-adic AdS/CFT correspondence and tensor networks:

• Matthew Heydeman, Matilde Marcolli, Ingmar Saberi, Bogdan Stoica, Tensor networks, $p$-adic fields, and algebraic curves: arithmetic and the $AdS_3/CFT_2$ correspondence (arXiv:1605.07639)

Discussion of BTZ black holes via tensor networks in the p-adic AdS/CFT correspondence:

• Matthew Heydeman, Matilde Marcolli, Sarthak Parikh, Ingmar Saberi, Nonarchimedean Holographic Entropy from Networks of Perfect Tensors (arXiv:1812.04057)

On Hopf algebras in generative linguistics:

• Matilde Marcolli, Noam Chomsky, Robert Berwick, Mathematical Structure of Syntactic Merge (arXiv:2305.18278)

• Matilde Marcolli, Robert Berwick, Noam Chomsky, Old and New Minimalism: a Hopf algebra comparison (arXiv:2306.10270)

category: people, noncommutative geometry