Matilde Marcolli

Q: What Schools Are Affiliated With Matilde Marcolli

Matilde Marcolli is affiliated with the following schools: University of California, Berkeley, University of Milan, University of Oxford, California Institute of Technology, University of California, San Diego, Massachusetts Institute of Technology, University of Chicago, University of Toronto

Matilde Marcolli's AcademicInfluence.com Rankings

Matilde Marcolli

Mathematics

#1100

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#1868

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Geometry

#44

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#77

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Algebraic Geometry

#140

World Rank

#147

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Number Theory

#144

World Rank

#189

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mathematics Degrees

Matilde Marcolli

Physics

#1779

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#2705

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physics Degrees

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Why Is Matilde Marcolli Influential?

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According to Wikipedia, Matilde Marcolli is an Italian and American mathematical physicist. She has conducted research work in areas of mathematics and theoretical physics; obtained the Heinz Maier-Leibnitz-Preis of the Deutsche Forschungsgemeinschaft, and the Sofia Kovalevskaya Award of the Alexander von Humboldt Foundation. Marcolli has authored and edited numerous books in the field. She is currently the Robert F. Christy Professor of Mathematics and Computing and Mathematical Sciences at the California Institute of Technology.

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Matilde Marcolli's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Noncommutative Geometry, Quantum Fields and Motives (2007) (557)
Gravity and the standard model with neutrino mixing (2006) (442)
From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-lattices (2004) (132)
Continued fractions, modular symbols, and noncommutative geometry (2001) (110)
Quantum fields and motives (2005) (107)
A walk in the noncommutative garden (2006) (101)
Locality of Gravitational Systems from Entanglement of Conformal Field Theories. (2015) (87)
Holography principle and arithmetic of algebraic curves (2002) (75)
Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory (2004) (72)
Traces in Number Theory, Geometry and Quantum Fields (2007) (71)
KMS states and complex multiplication (2005) (71)
Noncommutative geometry and motives: The thermodynamics of endomotives (2005) (71)
Tensor networks, $p$-adic fields, and algebraic curves: arithmetic and the AdS$_3$/CFT$_2$ correspondence (2016) (67)
Feynman motives of banana graphs (2008) (66)
Early Universe models from Noncommutative Geometry (2009) (58)
Edge length dynamics on graphs with applications to p-adic AdS/CFT (2016) (55)
Equivariant Seiberg-Witten Floer Homology (1996) (54)
Dynamical Systems on Spectral Metric Spaces (2010) (53)
Renormalization and motivic Galois theory (2004) (52)
Twisted Index Theory on Good Orbifolds, II:¶Fractional Quantum Numbers (1999) (49)
Fun with $\F_1$ (2008) (48)
Noncommutative geometry, dynamics, and ∞-adic Arakelov geometry (2004) (48)
The Spectral Action and Cosmic Topology (2010) (48)
Cuntz–Krieger Algebras and Wavelets on Fractals (2009) (45)
ALGEBRO-GEOMETRIC FEYNMAN RULES (2008) (44)
TWISTED INDEX THEORY ON GOOD ORBIFOLDS, I: NONCOMMUTATIVE BLOCH THEORY (1999) (42)
Arithmetic Noncommutative Geometry (2005) (41)
The Ricci Flow on Noncommutative Two-Tori (2011) (40)
Feynman motives and deletion-contraction relations (2009) (38)
QUANTUM STATISTICAL MECHANICS, L-SERIES AND ANABELIAN GEOMETRY (2010) (36)
The Coupling of Topology and Inflation in Noncommutative Cosmology (2010) (36)
Fun with F1 (2009) (35)
Noncommutative numerical motives, Tannakian structures, and motivic Galois groups (2011) (32)
The Weil Proof and the Geometry of the Adèles Class Space (2007) (32)
SEIBERG-WITTEN-FLOER HOMOLOGY AND HEEGAARD SPLITTINGS (1996) (31)
From exceptional collections to motivic decompositions via noncommutative motives (2012) (31)
Parametric Feynman integrals and determinant hypersurfaces (2009) (31)
Spectral triples from Mumford curves (2002) (29)
Seiberg-Witten gauge theory (1999) (29)
Noncommutative motives, numerical equivalence, and semi-simplicity (2011) (29)
Towards the fractional quantum Hall effect: a noncommutative geometry perspective (2005) (28)
Limiting modular symbols and the Lyapunov spectrum (2001) (28)
Persistent Topology of Syntax (2015) (27)
Number Theory in Physics (2006) (27)
Error-Correcting Codes and Phase Transitions (2009) (26)
Motivic renormalization and singularities (2008) (26)
Cyclotomy and endomotives (2009) (26)
WEAK UCP AND PERTURBED MONOPOLE EQUATIONS (2002) (25)
Zeta functions that hear the shape of a Riemann surface (2007) (23)
Spin foams and noncommutative geometry (2010) (23)
Noncommutative geometry on trees and buildings (2006) (22)
Kolmogorov complexity and the asymptotic bound for error-correcting codes (2012) (20)
Quantum statistical mechanics over function fields (2006) (20)
Kontsevich’s noncommutative numerical motives (2011) (20)
KMS states and complex multiplication. (Part II) (2006) (20)
Feynman Integrals and Motives of Configuration Spaces (2010) (19)
On the Format and Locus of Parameters : The Role of Morphosyntactic Features (2016) (19)
Characterization of global fields by Dirichlet L-series (2018) (19)
Notes on Seiberg-Witten Gauge Theory (1995) (18)
Tomography from Entanglement (2014) (18)
On the K-Theory of Graph C*-Algebras (2006) (18)
Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology ? (2014) (17)
Quanta of Maths (2011) (17)
Twisted spectral triples and quantum statistical mechanical systems (2014) (16)
Gamma Spaces and Information (2018) (16)
New perspectives in Arakelov geometry (2002) (16)
An Invitation To Noncommutative Geometry (2008) (16)
Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology (2010) (15)
Q-lattices: Quantum statistical mechanics and Galois theory (2006) (15)
Symbolic Dynamics, Modular Curves, and Bianchi IX Cosmologies (2015) (15)
Semantic Spaces (2016) (15)
Feynman integrals and motives (2009) (15)
Nonarchimedean holographic entropy from networks of perfect tensors (2018) (15)
Noncommutative motives and their applications (2013) (15)
Gauge networks in noncommutative geometry (2013) (15)
Thermodynamic Semirings (2011) (14)
Modular Curves, C*-algebras, and Chaotic Cosmology (2003) (13)
Noncommutative Artin motives (2012) (13)
Coupling of gravity to matter, spectral action and cosmic topology (2011) (13)
Seiberg–Witten and Casson–Walker Invariants for Rational Homology 3-Spheres (2002) (13)
Syntactic Parameters and a Coding Theory Perspective on Entropy and Complexity of Language Families (2016) (12)
Entropy algebras and Birkhoff factorization (2014) (12)
Solvmanifolds and noncommutative tori with real multiplication (2007) (12)
Coverings, correspondences, and noncommutative geometry (2008) (12)
Reconstructing global fields from dynamics in the abelianized Galois group (2017) (11)
Graph reconstruction and quantum statistical mechanics (2012) (11)
Exact triangles in Seiberg-Witten Floer theory. Part I: the geometric triangle (1999) (11)
Syntactic Phylogenetic Trees (2016) (11)
Graph Hypersurfaces and a Dichotomy in the Grothendieck Ring (2010) (11)
Noncommutative Mixmaster Cosmologies (2012) (11)
Quantum field theory over F1 (2012) (11)
Prevalence and Recoverability of Syntactic Parameters in Sparse Distributed Memories (2015) (11)
Frobenius Manifolds: Quantum Cohomology and Singularities (2012) (11)
Nori Diagrams and Persistent Homology (2019) (10)
Spectral action for Bianchi type-IX cosmological models (2015) (10)
A motivic approach to phase transitions in Potts models (2011) (10)
Modular Index Invariants of Mumford Curves (2009) (9)
Lectures on Arithmetic Noncommutative Geometry (2004) (9)
Spin Glass Models of Syntax and Language Evolution (2015) (9)
Spectral action models of gravity on packed swiss cheese cosmology (2015) (9)
Holographic codes on Bruhat–Tits buildings and Drinfeld symmetric spaces (2018) (9)
Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications (2014) (9)
Syntactic Structures and Code Parameters (2016) (9)
Noncommutative Geometry and Number Theory (2006) (9)
Modular forms in the spectral action of Bianchi IX gravitational instantons (2015) (9)
Feynman integrals and periods in configuration spaces (2012) (8)
Motives: an introductory survey for physicists (2009) (8)
Twisted higher index theory on good orbifolds and fractional quantum numbers (1998) (8)
Seiberg-Witten invariant and Casson-Walker invariant for rational homology 3-spheres (8)
Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes (2016) (8)
Jacobians of noncommutative motives (2012) (8)
Exact triangles in Seiberg-Witten Floer theory. Part IV: Z-graded monopole homology (2000) (8)
Dyson-Schwinger equations in the theory of computation (2013) (8)
Bost-Connes systems, Categorification, Quantum statistical mechanics, and Weil numbers (2014) (8)
Homotopy Theoretic and Categorical Models of Neural Information Networks (2020) (7)
Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models (2012) (7)
BUILDING COSMOLOGICAL MODELS VIA NONCOMMUTATIVE GEOMETRY (2011) (7)
Reconstructing global fields from Dirichlet L-series (2017) (7)
Unconditional motivic Galois groups and Voevodsky's nilpotence conjecture in the noncommutative world (2011) (7)
Algebraic renormalization and Feynman integrals in configuration spaces (2013) (7)
Quantum Statistical Mechanics, L-Series and Anabelian Geometry I: Partition Functions (2014) (7)
Archimedean cohomology revisited (2004) (7)
Anyons in geometric models of matter (2016) (7)
Bell Polynomials and Brownian Bridge in Spectral Gravity Models on Multifractal Robertson–Walker Cosmologies (2018) (6)
Multifractals, Mumford curves and eternal inflation (2013) (6)
Some remarks concerning Voevodsky's nilpotence conjecture (2014) (6)
Weyl Modules and Opers without Monodromy (2014) (6)
Modular shadows and the Levy-Mellin infinity-adic transform (2007) (6)
Phylogenetics of Indo-European Language Families via an Algebro-Geometric Analysis of Their Syntactic Structures (2017) (6)
Moufang Patterns and Geometry of Information (2021) (6)
Graph Grammars, Insertion Lie Algebras, and Quantum Field Theory (2015) (6)
Bost-Connes systems and F1-structures in Grothendieck rings, spectra, and Nori motives (2018) (6)
THE GEOMETRIC TRIANGLE FOR 3-DIMENSIONAL SEIBERG WITTEN MONOPOLES (1999) (6)
Supermanifolds from Feynman graphs (2008) (6)
Homotopy types and geometries below Spec Z (2018) (6)
Codes as Fractals and Noncommutative Spaces (2011) (5)
Quantum Groups and Noncommutative Spaces (2011) (5)
Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect (2015) (5)
Exact triangles in Seiberg-Witten Floer theory. Part III: proof of exactness (2000) (5)
Dessins for Modular Operad and Grothendieck-Teichmuller Group (2020) (5)
Geometry of Information: classical and quantum aspects (2021) (5)
Exact triangles in monopole homology and the Casson-Walker invariant (2001) (5)
Motives and periods in Bianchi IX gravity models (2017) (4)
Arithmetic and geometry around quantization (2010) (4)
Holographic tensor networks from hyperbolic buildings (2022) (4)
Topological Analysis of Syntactic Structures (2019) (4)
Heat Kernel Analysis of Syntactic Structures (2018) (4)
Non-commutative geometry, dynamics, and infinity-adic Arakelov geometry (2002) (4)
Motivic information (2017) (4)
Introduction to motives (2011) (4)
Exact triangles in Seiberg-Witten Floer theory. Part II: geometric limits of flow lines (1999) (4)
F-zeta geometry, Tate motives, and the Habiro ring (2013) (4)
From exceptional collections to motivic decompositions (2012) (3)
Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples (2016) (3)
KMS weights on higher rank buildings (2015) (3)
F_ζ-geometry, Tate motives, and the Habiro ring (2015) (3)
Spectral action gravity and cosmological models (2017) (3)
Quantum Statistical Mechanics of the Absolute Galois Group (2019) (3)
Information Algebras and Their Applications (2015) (3)
Type III σ-spectral triples and quantum statistical mechanical systems (2013) (3)
Deformation Spaces: Perspectives on algebro-geometric moduli (2010) (3)
Open string theory and planar algebras (2009) (3)
On the distribution of continued fractions and modular symbols (2001) (2)
Arithmetic of Potts model hypersurfaces (2011) (2)
Acute antihypertensive efficacy of channel blockade with lacidipine, a new dihydropyridine (1991) (2)
Syntactic parameters and spin glass models of language change (2017) (2)
Still Life as a Model of Spacetime (2012) (2)
Quantum statistical mechanics in arithmetic topology (2016) (2)
Springer briefs in mathematical physics (2014) (2)
Boundary conditions of the RGE flow in noncommutative cosmology (2010) (2)
q-Deformations of statistical mechanical systems and motives over finite fields (2017) (2)
QUANTUM FIELD THEORY OVER F 1 (2012) (2)
Endomotives of toric varieties (2013) (2)
Feynman quadrics-motive of the massive sunset graph (2017) (2)
Homotopy types and geometries below Spec(ℤ) (2020) (2)
Asymptotic bounds for spherical codes (2018) (2)
Noncommutative Geometry and Arithmetic (2010) (2)
Unconditional noncommutative motivic Galois groups (2011) (2)
The Bruhat – Tits tree (2009) (2)
Variants of equivariant Seiberg-Witten Floer homology (2002) (2)
Arithmetic noncommutative geometry. With a foreword by Yuri Manin (2005) (1)
Motives of melonic graphs (2020) (1)
Functor of Points and Height Functions for Noncommutative Arakelov Geometry (2020) (1)
Noncommutative Geometry and Number Theory: Where Arithmetic meets Geometry and Physics (2006) (1)
Topological Model of Neural Information Networks (2021) (1)
The Wolf and the Street: Narrative Encounters with Mathematics (2015) (1)
Some remarks on conjugacy classes of bundle Gauge groups (1996) (1)
ORBIFOLD FRACTIONAL QUANTUM HALL EFFECT (1)
Combinatorics and Physics (2011) (1)
Quantum Duality Principle for Quantum Grassmannians ” in : Quantum Groups and Noncommutative Geometry (2011) (1)
Syntactic structures and the general Markov models (2021) (1)
Quantum groups and noncommutative spaces : perspectives on quantum geometry (2011) (1)
RENORMALIZATION FOR DUMMIES (1)
Noncommutative geometry at arithmetic infinity (2005) (1)
Quantum fields, noncommutative spaces, and motives (2007) (1)
PRINCIPLE AND ARITHMETIC OF ALGEBRAIC CURVES (1)
Noncommutative Quantum Cosmology (2018) (1)
Quantum statistical mechanics and Galois theory (2005) (1)
Quantum Computation and Real Multiplication (2013) (1)
Principles and Parameters: a coding theory perspective (2014) (1)
Quantum groups and noncommutative spaces : perspectives on quantum geometry : a publication of the Max-Planck-Institute for Mathematics, Bonn (2011) (1)
Gluing Non-commutative Twistor Spaces (2021) (1)
0 31 20 35 v 1 1 1 D ec 2 00 3 Modular curves , C ∗-algebras , and chaotic cosmology (2008) (1)
Noncommutative geometry models for particle physics (2014) (1)
Persistent Topology of Syntax (2017) (0)
Motives and periods in Bianchi IX gravity models (2018) (0)
Mathematics as Culture and Knowledge (2008) (0)
Semantic Spaces (2016) (0)
How Noncommutative Geometry looks at Arithmetic (2010) (0)
Gravity and Matter in Noncommutative Geometry (2018) (0)
Book Review: Noncommutative geometry and particle physics (2016) (0)
Edge length dynamics on graphs with applications to p-adic AdS/CFT (2017) (0)
Phylogenetics of Indo-European Language Families via an Algebro-Geometric Analysis of Their Syntactic Structures (2021) (0)
Syntactic Structures and Code Parameters (2017) (0)
Seiberg—Witten on four-manifolds (1999) (0)
Multifractals, Mumford curves and eternal inflation (2014) (0)
The Coupling of Topology and Inflation in Noncommutative Cosmology (2011) (0)
AND ARITHMETIC OF ALGEBRAIC CURVES (0)
KMS weights on higher rank buildings (2016) (0)
Pareto Optimization in Categories (2022) (0)
Mathematics People, Volume 44, Number 2 (1998) (0)
Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples (2019) (0)
Feynman integrals and Gelfand–Leray forms (2009) (0)
Connes—Kreimer theory in a nutshell (2009) (0)
Ju n 19 96 Equivariant Seiberg-Witten Floer Homology (1996) (0)
The Spectral Action on Bianchi IX Cosmologies (2018) (0)
Anyon Networks from Geometric Models of Matter (2021) (0)
Noncommutative geometry and particle physics [Book Review] (2017) (0)
Basic data fo a comagma : an object A with comultiplication morhism ∆ : A → A ⊗ (2022) (0)
Computability questions in the sphere packing problem (2022) (0)
Arithmetic structures on noncommutative tori with real multiplication (2007) (0)
Chromium Vanadium Yttrium (0)
From Noncommutative to Arithmetic Geometry (0)
Intersection theory, characteristic classes, and algebro-geometric Feynman rules (2022) (0)
Noncommutative Artin motives (2013) (0)
Seiberg—Witten on three-manifolds (1999) (0)
The Riemann zeta function and noncommutative geometry (2007) (0)
Fractal and Multifractal Structures in Cosmology (2018) (0)
Renormalization Group Flows and Early Universe Models (2018) (0)
Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples (2010) (0)
[Percutaneous angioplasty of arterio-venous fistulae with Zijlstra catheters]. (1993) (0)
N T ] 1 2 Ju n 20 03 Spectral triples from Mumford curves (2003) (0)
THE LÉVY – MELLIN ∞ – ADIC TRANSFORM (2007) (0)
In Memoriam: Jun-Ichi Igusa 1924–2013 (2014) (0)
Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes (2017) (0)
Feynman Integrals and Motives of Configuration Spaces (2012) (0)
Gluing Noncommutative Twistor Spaces (2020) (0)
Combinatorics and physics : Mini-Workshop on Renormalization, December 15-16, 2006 : Conference on Combinatorics and Physics, March 19-23, 2007, Max-Planck-Institut für Mathematik, Bonn, Germany (2011) (0)
Categorical Hopfield Networks (2022) (0)
Quanta of Maths : Proceedings, Conference on Noncommutative geometry in honor of Alain Connes, Paris, France, Mar 29 - Apr 6, 2007 (2010) (0)
Triplets Spectraux En Géométrie D'arakelov Spectral Triples in Arakelov Geometry Abridged English Version (2002) (0)
Algebro-geometric models in Cosmology (2018) (0)
The Riemann–Hilbert correspondence (2009) (0)
Topological Analysis of Syntactic Structures (2022) (0)
Twisted spectral triples and quantum statistical mechanical systems (2014) (0)
Title: Solvmanifolds and Noncommutative Tori with Real Multiplication (2008) (0)
Reconstructing global fields from dynamics in the abelianized Galois group (2019) (0)
G T ] 1 5 N ov 2 00 2 Variants of Equivariant Seiberg-Witten Floer Homology (2008) (0)
Codes as Fractals and Noncommutative Spaces (2012) (0)
Frobenius manifolds : quantum cohomology and singularities : a publication of the Max Planck Institute for Mathematics, Bonn (2004) (0)
Spectral action for Bianchi type-IX cosmological models (2015) (0)
TANVIR AHAMED BHUYAIN AND MATILDE MARCOLLI The Ricci flow (2011) (0)
Modular forms in the spectral action of Bianchi IX gravitational instantons (2019) (0)
Seiberg—Witten and Physics (1999) (0)
Riemann Surfaces in Geometry and Topology (2015) (0)
Quantum Computation and Real Multiplication (2014) (0)
Gabor frames from contact geometry in models of the primary visual cortex (2021) (0)
Motives and periods (2009) (0)
Fractality in cosmic topology models with spectral action gravity (2021) (0)
Birational maps and Nori motives (2020) (0)
Type III sigma-spectral triples and quantum statistical mechanical systems (2013) (0)
MODULAR NORI MOTIVES (2020) (0)
Motivic information (2018) (0)
Heat Kernel Analysis of Syntactic Structures (2021) (0)
Topology and Geometry (2021) (0)
Bell Polynomials and Brownian Bridge in Spectral Gravity Models on Multifractal Robertson–Walker Cosmologies (2020) (0)
COMBINATORIAL AND GEOMETRIC ASPECTS OF FEYNMAN GRAPHS AND FEYNMAN INTEGRALS DISSERTATION (2009) (0)
Endomotives, thermodynamics, and the Weil explicit formula (2007) (0)
Motivic structures in quantum field theory (2012) (0)
Beyond scalar theories (2009) (0)
Lectures on Arithmetic (2004) (0)
MATHEMATICAL AND COMPUTATIONAL LINGUISTICS PROJECT N.4 SYNTACTIC PHYLOGENETIC TREES (2015) (0)
Cohn-Elkies functions from Gabor frames (2022) (0)
Homotopy Spectra and Diophantine Equations (2021) (0)
Models of Language Acquisition (2015) (0)
Noncommutative modular curves (2005) (0)
Anyons in geometric models of matter (2017) (0)
Perturbative quantum field theory and Feynman diagrams (2009) (0)
MATHEMATICAL AND COMPUTATIONAL LINGUISTICS PROJECT N.5 A KANERVA NETWORK MODEL OF SYNTACTIC PARAMETERS (2015) (0)
q-Deformations of statistical mechanical systems and motives over finite fields (2017) (0)
Motives and Periods in Cosmology (2018) (0)
The geometry of DimReg (2009) (0)
Characterization of global fields by Dirichlet L-series (2018) (0)
Dessins for modular operads and the Grothendieck–Teichmüller group (2021) (0)
Graph Grammars, Insertion Lie Algebras, and Quantum Field Theory (2015) (0)
Quantum statistical mechanics and Galois symmetries (2007) (0)
COMPOSITIO MATHEMATICA Kontsevich’s noncommutative numerical motives (2012) (0)
Quantum Statistical Mechanics and the Boundary of Modular Curves (2020) (0)
Nori Diagrams and Persistent Homology (2019) (0)
The Ricci Flow on Noncommutative Two-Tori (2012) (0)
Appendix: a bibliographical guide (1999) (0)
Renormalization, singularities, and Hodge structures (2009) (0)
Spectral triples in Arakelov geometry (2002) (0)
Ju l 2 02 1 GEOMETRY OF INFORMATION : CLASSICAL AND QUANTUM ASPECTS (2021) (0)
From Geometry and Physics to Computational Linguistics (2015) (0)
Feynman integrals and algebraic varieties (2009) (0)
2 9 M ay 2 00 2 Non – commutative geometry , dynamics , and ∞ – adic Arakelov geometry (2008) (0)
Potts models with magnetic field: Arithmetic, geometry, and computation (2014) (0)
Modular Index Invarian ts of M umford C urves (2012) (0)
GEOMETRY ON TREES AND BUILDINGS (0)
A drifter of Dadaist persuasion (2015) (0)
Jacobians of Noncommutative Motives Accessed Terms of Use Jacobians of Noncommutative Motives (0)
Noncommutative motivesand their applications (2015) (0)
2 7 O ct 2 00 3 New perspectives in Arakelov geometry (2004) (0)
I T ] 2 7 O ct 2 00 9 ERROR – CORRECTING CODES AND PHASE TRANSITIONS (2010) (0)

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