1

Quantum fields and motives

Alain Connes, Matilde Marcolli
Journal:
Journal of Geometry and Physics
Year:
2006
Language:
english
File:
PDF, 281 KB
english, 2006
2

-lattices: Quantum statistical mechanics and Galois theory

Alain Connes, Matilde Marcolli
Journal:
Journal of Geometry and Physics
Year:
2006
Language:
english
File:
PDF, 232 KB
english, 2006
3

Fun with

Alain Connes, Caterina Consani, Matilde Marcolli
Journal:
Journal of Number Theory
Year:
2009
Language:
english
File:
PDF, 364 KB
english, 2009
4

KMS states and complex multiplication

Alain Connes, Matilde Marcolli, Niranjan Ramachandran
Journal:
Selecta Mathematica
Year:
2006
Language:
english
File:
PDF, 266 KB
english, 2006
5

Noncommutative geometry, dynamics, and ∞-adic Arakelov geometry

Caterina Consani, Matilde Marcolli
Journal:
Selecta Mathematica
Year:
2004
Language:
english
File:
PDF, 695 KB
english, 2004
6

Noncommutative motives, numerical equivalence, and semi-simplicity

Marcolli, Matilde, Tabuada, Gonçalo
Journal:
American Journal of Mathematics
Year:
2014
Language:
english
File:
PDF, 391 KB
english, 2014
7

Feynman Motives || The Riemann–Hilbert correspondence

Marcolli, Matilde
Year:
2009
Language:
english
File:
PDF, 225 KB
english, 2009
8

Semantic Spaces

Manin, Yuri I., Marcolli, Matilde
Journal:
Mathematics in Computer Science
Year:
2016
Language:
english
File:
PDF, 644 KB
english, 2016
11

Coverings, correspondences, and noncommutative geometry

Matilde Marcolli, Ahmad Zainy al-Yasry
Journal:
Journal of Geometry and Physics
Year:
2008
Language:
english
File:
PDF, 1.08 MB
english, 2008
12

Noncommutative geometry and motives: The thermodynamics of endomotives

Alain Connes, Caterina Consani, Matilde Marcolli
Journal:
Advances in Mathematics
Year:
2007
Language:
english
File:
PDF, 561 KB
english, 2007
13

Quantum statistical mechanics over function fields

Caterina Consani, Matilde Marcolli
Journal:
Journal of Number Theory
Year:
2007
Language:
english
File:
PDF, 360 KB
english, 2007
14

Cuntz–Krieger Algebras and Wavelets on Fractals

Matilde Marcolli, Anna Maria Paolucci
Journal:
Complex Analysis and Operator Theory
Year:
2011
Language:
english
File:
PDF, 404 KB
english, 2011
15

Cyclotomy and endomotives

Matilde Marcolli
Journal:
P-Adic Numbers, Ultrametric Analysis, and Applications
Year:
2009
Language:
english
File:
PDF, 1.07 MB
english, 2009
16

Kontsevich’s noncommutative numerical motives

Marcolli, Matilde, Tabuada, Gonçalo
Journal:
Compositio Mathematica
Year:
2012
Language:
english
File:
PDF, 492 KB
english, 2012
17

Noncommutative Artin motives

Matilde Marcolli, Gonçalo Tabuada
Journal:
Selecta Mathematica
Year:
2014
Language:
english
File:
PDF, 548 KB
english, 2014
18

Quantum Groups and Noncommutative Spaces ||

Marcolli, Matilde, Parashar, Deepak
Year:
2011
Language:
english
File:
PDF, 2.30 MB
english, 2011
19

[Aspects of Mathematics] Noncommutative Geometry and Number Theory ||

Consani, Caterina, Marcolli, Matilde
Year:
2006
Language:
english
File:
PDF, 5.65 MB
english, 2006
20

Gauge networks in noncommutative geometry

Marcolli, Matilde, van Suijlekom, Walter D.
Journal:
Journal of Geometry and Physics
Year:
2014
Language:
english
File:
PDF, 589 KB
english, 2014
21

10.1155/S1073792804143122

Connes, Alain, Marcolli, Matilde
Journal:
International Mathematics Research Notices
Year:
2004
Language:
english
File:
PDF, 203 KB
english, 2004
25

Feynman Motives || Beyond scalar theories

Marcolli, Matilde
Year:
2009
Language:
english
File:
PDF, 327 KB
english, 2009
26

Kolmogorov complexity and the asymptotic bound for error-correcting codes

Manin, Yuri, Marcolli, Matilde
Journal:
Journal Of Differential Geometry
Year:
2014
Language:
english
File:
PDF, 186 KB
english, 2014
27

Anyons in geometric models of matter

Atiyah, Michael, Marcolli, Matilde
Journal:
Journal of High Energy Physics
Year:
2017
Language:
english
File:
PDF, 437 KB
english, 2017
32

The Spectral Action and Cosmic Topology

Matilde Marcolli, Elena Pierpaoli, Kevin Teh
Journal:
Communications in Mathematical Physics
Year:
2011
Language:
english
File:
PDF, 512 KB
english, 2011
35

On theK-Theory of GraphC*-Algebras

Gunther Cornelissen, Oliver Lorscheid, Matilde Marcolli
Journal:
Acta Applicandae Mathematicae
Year:
2008
Language:
english
File:
PDF, 412 KB
english, 2008
36

Graph Hypersurfaces and a Dichotomy in the Grothendieck Ring

Paolo Aluffi, Matilde Marcolli
Journal:
Letters in Mathematical Physics
Year:
2011
Language:
english
File:
PDF, 159 KB
english, 2011
37

Error-Correcting Codes and Phase Transitions

Yuri I. Manin, Matilde Marcolli
Journal:
Mathematics in Computer Science
Year:
2011
Language:
english
File:
PDF, 490 KB
english, 2011
38

Zeta functions that hear the shape of a Riemann surface

Gunther Cornelissen, Matilde Marcolli
Journal:
Journal of Geometry and Physics
Year:
2008
Language:
english
File:
PDF, 408 KB
english, 2008
39

Limiting modular symbols and the Lyapunov spectrum

Matilde Marcolli
Journal:
Journal of Number Theory
Year:
2003
Language:
english
File:
PDF, 271 KB
english, 2003
40

Seiberg–Witten and Casson–Walker Invariants for Rational Homology 3-Spheres

Matilde Marcolli, Bai-Ling Wang
Journal:
Geometriae Dedicata
Year:
2002
Language:
english
File:
PDF, 162 KB
english, 2002
41

Feynman Integrals and Motives of Configuration Spaces

Ozgür Ceyhan, Matilde Marcolli
Journal:
Communications in Mathematical Physics
Year:
2012
Language:
english
File:
PDF, 479 KB
english, 2012
42

The Ricci Flow on Noncommutative Two-Tori

Bhuyain, Tanvir Ahamed, Marcolli, Matilde
Journal:
Letters in Mathematical Physics
Year:
2012
Language:
english
File:
PDF, 268 KB
english, 2012
43

Codes as Fractals and Noncommutative Spaces

Marcolli, Matilde, Perez, Christopher
Journal:
Mathematics in Computer Science
Year:
2012
Language:
english
File:
PDF, 395 KB
english, 2012
44

Quantum field theory over

Bejleri, Dori, Marcolli, Matilde
Journal:
Journal of Geometry and Physics
Year:
2013
Language:
english
File:
PDF, 507 KB
english, 2013
45

Endomotives of toric varieties

Jin, Zhaorong, Marcolli, Matilde
Journal:
Journal of Geometry and Physics
Year:
2014
Language:
english
File:
PDF, 524 KB
english, 2014
46

A motivic approach to phase transitions in Potts models

Aluffi, Paolo, Marcolli, Matilde
Journal:
Journal of Geometry and Physics
Year:
2013
Language:
english
File:
PDF, 355 KB
english, 2013
47

Quantum Computation and Real Multiplication

Marcolli, Matilde, Napp, John
Journal:
Mathematics in Computer Science
Year:
2015
Language:
english
File:
PDF, 355 KB
english, 2015
48

Graph reconstruction and quantum statistical mechanics

Cornelissen, Gunther, Marcolli, Matilde
Journal:
Journal of Geometry and Physics
Year:
2013
Language:
english
File:
PDF, 395 KB
english, 2013
49

WEAK UCP AND PERTURBED MONOPOLE EQUATIONS

BOOSS-BAVNBEK, BERNHELM, MARCOLLI, MATILDE, WANG, BAI-LING
Journal:
International Journal of Mathematics
Year:
2002
Language:
english
File:
PDF, 341 KB
english, 2002
50

An Invitation to Noncommutative Geometry || LECTURES ON NONCOMMUTATIVE GEOMETRY

Khalkhali, Masoud, Marcolli, Matilde
Year:
2008
Language:
english
File:
PDF, 703 KB
english, 2008