Matilde Marcolli

Research Interests

Mathematical Physics, Geometry, Mathematical Models for Cosmology, Computational Linguistics, Mathematical Models for Neuroscience

Recent Publications

• Manin, Yu. I.; Marcolli, M. Asymptotic bounds for spherical codes. Izv. Ross. Akad. Nauk Ser. Mat. 83 (2019), no. 3, 133-157.
• Marcolli, Matilde; Zolman, Nick; Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples. p-Adic Numbers Ultrametric Anal. Appl. 11 (2019), no. 3, 223-247.
• Marcolli, Matilde Motivic information. Boll. Unione Mat. Ital. 12 (2019), no. 1-2, 19-41.
• Cornelissen, Gunther; Li, Xin; Marcolli, Matilde; Smit, Harry Reconstructing global fields from dynamics in the abelianized Galois group. Selecta Math. (N.S.) 25 (2019), no. 2, Art. 24, 18 pp.
• Marcolli, Matilde Gamma spaces and information. J. Geom. Phys. 140 (2019), 26-55.
• Cornelissen, Gunther; de Smit, Bart; Li, Xin; Marcolli, Matilde; Smit, Harry Characterization of global fields by Dirichlet L-series. Res. Number Theory 5 (2019), no. 1, Art. 7, 15 pp.
• Fan, Wentao; Fathizadeh, Farzad; Marcolli, Matilde Modular forms in the spectral action of Bianchi IX gravitational instantons. J. High Energy Phys. 2019, no. 1, 234, front matter+37 pp.
• Marcolli, Matilde; Tabuada, Gonçalo Feynman quadrics-motive of the massive sunset graph. J. Number Theory 195 (2019), 159-183.
• Fan, Wentao; Fathizadeh, Farzad; Marcolli, Matilde Motives and periods in Bianchi IX gravity models. Lett. Math. Phys. 108 (2018), no. 12, 2729-2747.
• Heydeman, Matthew; Marcolli, Matilde; Saberi, Ingmar A.; Stoica, Bogdan Tensor networks, p-adic fields, and algebraic curves: arithmetic and the AdS3/CFT2 correspondence. Adv. Theor. Math. Phys. 22 (2018), no. 1, 93-176.
• Shu, Kevin; Aziz, Sharjeel; Huynh, Vy-Luan; Warrick, David; Marcolli, Matilde Syntactic phylogenetic trees. Foundations of mathematics and physics one century after Hilbert, 417-441, Springer, Cham, 2018
• Yuri I. Manin, Matilde Marcolli, Quantum Statistical Mechanics of the Absolute Galois Group, arXiv: 1907.13545
• Alexander Port, Taelin Karidi, Matilde Marcolli, Topological Analysis of Syntactic Structures, arXiv: 1903.05181
• Yuri I. Manin, Matilde Marcolli, Nori diagrams and persistent homology, arXiv: 1901.10301
• Joshua F. Lieber, Yuri I. Manin, Matilde Marcolli, Bost-Connes systems and F1-structures in Grothendieck rings, spectra, and Nori motives, arXiv: 1901.00020
• Matthew Heydeman, Matilde Marcolli, Sarthak Parikh, Ingmar Saberi, Nonarchimedean Holographic Entropy from Networks of Perfect Tensors, arXiv: 1812.04057
• Farzad Fathizadeh, Yeorgia Kafkoulis, Matilde Marcolli, Bell polynomials and Brownian bridge in Spectral Gravity models on multifractal Robertson-Walker cosmologies, arXiv: 1811.02972

Seminars

• Spectral Gravity models on multifractal Robertson-Walker cosmologies New Geometry of Quantum Dynamics Fields Institute
• Bost-Connes systems and F1-structures in Grothendieck rings, spectra, and Nori motives, Session on Number Theory, Commutative Algebra and Algebraic Geometry, American Mathematical Society Meeting, University of Hawaii at Manoa
• Asymptotic Bound for Spherical Codes, Session on Coding Theory and Information Theory, American Mathematical Society Meeting, University of Hawaii at Manoa
• Quantum Statistical Mechanics and Arithmetic Topology, Session on Algebraic and Combinatorial Structures in Knot Theory, American Mathematical Society Meeting, University of Hawaii at Manoa
• Phylogenetic Algebraic Geometry and Syntax, Session on Combinatorial and Experimental Methods in Mathematical Phylogeny, American Mathematical Society Meeting, University of Hawaii at Manoa
• Spectral Gravity models on multifractal Robertson-Walker cosmologies, Session on Geometry, Analysis, Dynamics and Mathematical Physics on Fractal Spaces, American Mathematical Society Meeting, University of Hawaii at Manoa
• Phylogenetic Algebraic Geometry of Syntax, LanGeLin Linguistics Workshop, York University, UK
• Non-Archimedean Holography, F-theory Workshop, Harvard University, USA
• PIRSA:18080052, Homotopy types and geometries below Spec(Z) , 2018-08-15, Higher Algebra and Mathematical Physics
• PIRSA:17030049, Arithmetic Structures in Spectral Models of Gravity, 2017-03-03, Colloquium
• PIRSA:15090060, Spectral Action Models of Gravity and Packed Swiss Cheese Cosmology, 2015-09-12, Noncommutative Geometry and Physics
• PIRSA:15050066, A motivic approach to Potts models, 2015-05-29, Geometry and Physics 2015
• PIRSA:15050061, Feynman integrals and motives in configuration spaces, 2015-05-28, Geometry and Physics 2015
• PIRSA:15050057, Colloquium, 2015-05-27, Geometry and Physics 2015
• PIRSA:15040187, Symbolic dynamics, modular curves, and Bianchi IX cosmologies, 2015-04-23, Cosmology & Gravitation
• PIRSA:14080002, Algebraic Geometry in Cosmology, 2014-08-07, Cosmology & Gravitation
• PIRSA:11020110, Spin Foams and Noncommutative Geometry, 2011-02-23, Quantum Gravity
• PIRSA:11020109, Cosmology and the Poisson summation formula, 2011-02-22, Cosmology & Gravitation