| Publication | Date of Publication | Type |
|---|
| Birational maps and Nori motives | 2024-03-07 | Paper |
| Dynamical geometry and a persistence \(K\)-theory in noisy point clouds | 2024-01-16 | Paper |
| Modular Nori motives | 2023-12-14 | Paper |
| Syntax-semantics interface: an algebraic model | 2023-11-10 | Paper |
| Motives of melonic graphs | 2023-10-31 | Paper |
| Pierced by a sun ray. An obituary of Yuri Ivanovich Manin (1937--2023) | 2023-10-13 | Paper |
| Gabor frames and higher dimensional boundaries in signal analysis on manifolds | 2023-09-07 | Paper |
| Cohn-Elkies functions from Gabor frames | 2023-08-08 | Paper |
| Old and New Minimalism: a Hopf algebra comparison | 2023-06-17 | Paper |
| Mathematical Structure of Syntactic Merge | 2023-05-29 | Paper |
| Moufang patterns and geometry of information | 2023-04-05 | Paper |
| Holographic tensor networks from hyperbolic buildings | 2023-02-15 | Paper |
| Computability questions in the sphere packing problem | 2022-12-09 | Paper |
| Fractality in cosmic topology models with spectral action gravity | 2022-08-25 | Paper |
| Quantum SUSY operads | 2022-08-24 | Paper |
| Bost–Connes Systems and F1-structures in Grothendieck Rings, Spectra, and Nori Motives | 2022-06-17 | Paper |
| Pareto Optimization in Categories | 2022-04-25 | Paper |
| Nonarchimedean holographic entropy from networks of perfect tensors | 2022-04-01 | Paper |
| Topological analysis of syntactic structures | 2022-03-25 | Paper |
| Topological model of neural information networks | 2022-03-22 | Paper |
| Geometry of information: classical and quantum aspects | 2022-02-21 | Paper |
| Holographic tensor networks from hyperbolic buildings | 2022-02-03 | Paper |
| Heat kernel analysis of syntactic structures | 2022-01-28 | Paper |
| Phylogenetics of Indo-European language families via an algebro-geometric analysis of their syntactic structures | 2022-01-28 | Paper |
| Quantum Operads | 2021-12-30 | Paper |
| Dessins for modular operads and the Grothendieck-Teichmüller group | 2021-12-03 | Paper |
| Functor of points and height functions for noncommutative Arakelov geometry | 2021-09-16 | Paper |
| Gluing Non-commutative Twistor Spaces | 2021-09-02 | Paper |
| Anyon Networks from Geometric Models of Matter | 2021-09-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5004912 | 2021-08-03 | Paper |
| Moufang Patterns and Geometry of Information | 2021-07-15 | Paper |
| Homotopy Spectra and Diophantine Equations | 2021-01-01 | Paper |
| Feynman integrals and periods in configuration spaces | 2020-11-27 | Paper |
| Homotopy types and geometries below Spec(ℤ) | 2020-07-03 | Paper |
| Quantum Statistical Mechanics and the Boundary of Modular Curves | 2020-06-30 | Paper |
| Quantum statistical mechanics of the absolute Galois group | 2020-06-05 | Paper |
| Nori diagrams and persistent homology | 2020-05-27 | Paper |
| Bell polynomials and Brownian bridge in spectral gravity models on multifractal Robertson-Walker cosmologies | 2020-03-25 | Paper |
| Holographic codes on Bruhat-Tits buildings and Drinfeld symmetric spaces | 2020-02-17 | Paper |
| Adinkras, dessins, origami, and supersymmetry spectral triples | 2020-02-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4973068 | 2019-12-02 | Paper |
| Characterization of global fields by Dirichlet \(L\)-series | 2019-07-26 | Paper |
| Asymptotic bounds for spherical codes | 2019-06-28 | Paper |
| Motivic information | 2019-06-27 | Paper |
| Gamma spaces and information | 2019-06-19 | Paper |
| Reconstructing global fields from dynamics in the abelianized Galois group | 2019-03-18 | Paper |
| Topological Analysis of Syntactic Structures | 2019-03-12 | Paper |
| Modular forms in the spectral action of Bianchi IX gravitational instantons | 2019-03-12 | Paper |
| Motives and periods in Bianchi IX gravity models | 2018-12-10 | Paper |
| Feynman quadrics-motive of the massive sunset graph | 2018-10-24 | Paper |
| Tensor networks, \(p\)-adic fields, and algebraic curves: arithmetic and the \(\mathrm{AdS}_3 / \mathrm{CFT}_2\) correspondence | 2018-10-01 | Paper |
| Spectral action for Bianchi type-IX cosmological models | 2018-05-31 | Paper |
| Some remarks concerning Voevodsky's nilpotence conjecture | 2018-05-04 | Paper |
| \(q\)-deformations of statistical mechanical systems and motives over finite fields | 2018-03-07 | Paper |
| Anyons in geometric models of matter | 2018-02-14 | Paper |
| Edge length dynamics on graphs with applications to \(p\)-adic AdS/CFT | 2018-02-05 | Paper |
| Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect | 2018-01-15 | Paper |
| Noncommutative Cosmology | 2018-01-02 | Paper |
| Periods and motives in the spectral action of Robertson-Walker spacetimes | 2017-10-24 | Paper |
| Semantic spaces | 2017-07-25 | Paper |
| Syntactic structures and code parameters | 2017-07-25 | Paper |
| Bost-Connes systems, categorification, quantum statistical mechanics, and Weil numbers | 2017-05-16 | Paper |
| Unconditional noncommutative motivic Galois groups | 2017-04-20 | Paper |
| Noncommutative motives and their applications | 2017-04-11 | Paper |
| Quantum statistical mechanics in arithmetic topology | 2017-02-23 | Paper |
| KMS weights on higher rank buildings | 2017-02-01 | Paper |
| Book Review: Noncommutative geometry and particle physics | 2016-12-20 | Paper |
| Symbolic dynamics, modular curves, and Bianchi IX cosmologies | 2016-11-15 | Paper |
| Moduli operad over $\mathbb F_1$ | 2016-10-19 | Paper |
| Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications | 2016-09-08 | Paper |
| Dyson–Schwinger equations in the theory of computation | 2016-09-02 | Paper |
| Spectral action models of gravity on packed swiss cheese cosmology | 2016-07-22 | Paper |
| Information Algebras and Their Applications | 2016-05-25 | Paper |
| Noncommutative numerical motives, Tannakian structures, and motivic Galois groups | 2016-04-15 | Paper |
| Graph grammars, insertion Lie algebras, and quantum field theory | 2016-01-13 | Paper |
| Quantum Statistical Mechanics, L-Series and Anabelian Geometry I: Partition Functions | 2015-10-07 | Paper |
| Potts models with magnetic field: arithmetic, geometry, and computation | 2015-08-21 | Paper |
| Entropy algebras and Birkhoff factorization | 2015-08-21 | Paper |
| 𝔽ζ-geometry, Tate motives, and the Habiro ring | 2015-04-27 | Paper |
| From exceptional collections to motivic decompositions via noncommutative motives | 2015-04-14 | Paper |
| Quantum computation and real multiplication | 2015-03-25 | Paper |
| Multifractals, Mumford curves and eternal inflation | 2015-03-17 | Paper |
| Algebraic renormalization and Feynman integrals in configuration spaces | 2015-01-14 | Paper |
| NONCOMMUTATIVE GEOMETRY MODELS FOR PARTICLE PHYSICS | 2014-11-07 | Paper |
| Thermodynamic semirings | 2014-09-25 | Paper |
| Coupling of gravity to matter, spectral action and cosmic topology | 2014-09-25 | Paper |
| Big bang, blowup, and modular curves: algebraic geometry in cosmology | 2014-08-26 | Paper |
| Jacobians of noncommutative motives | 2014-08-19 | Paper |
| Kolmogorov complexity and the asymptotic bound for error-correcting codes | 2014-07-28 | Paper |
| Noncommutative motives, numerical equivalence, and semi-simplicity | 2014-04-10 | Paper |
| Noncommutative Artin motives | 2014-02-25 | Paper |
| Endomotives of toric varieties | 2014-01-30 | Paper |
| Gauge networks in noncommutative geometry | 2014-01-10 | Paper |
| Graph reconstruction and quantum statistical mechanics | 2014-01-09 | Paper |
| Quantum field theory over \(\mathbb F_1\) | 2013-12-20 | Paper |
| ASYMPTOTIC SAFETY, HYPERGEOMETRIC FUNCTIONS, AND THE HIGGS MASS IN SPECTRAL ACTION MODELS | 2013-08-22 | Paper |
| ARITHMETIC OF POTTS MODEL HYPERSURFACES | 2013-05-02 | Paper |
| Codes as fractals and noncommutative spaces | 2013-04-24 | Paper |
| Kontsevich’s noncommutative numerical motives | 2013-03-20 | Paper |
| NONCOMMUTATIVE MIXMASTER COSMOLOGIES | 2013-03-13 | Paper |
| A motivic approach to phase transitions in Potts models | 2013-01-14 | Paper |
| The Ricci flow on noncommutative two-tori | 2012-12-06 | Paper |
| Error-correcting codes and phase transitions | 2012-12-03 | Paper |
| Modular Index Invariants of Mumford Curves | 2012-08-24 | Paper |
| Feynman integrals and motives of configuration spaces | 2012-08-13 | Paper |
| Early universe models from noncommutative geometry | 2012-06-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2889282 | 2012-06-06 | Paper |
| The coupling of topology and inflation in noncommutative cosmology | 2012-02-10 | Paper |
| Seiberg-Witten gauge theory | 2012-01-09 | Paper |
| BUILDING COSMOLOGICAL MODELS VIA NONCOMMUTATIVE GEOMETRY | 2011-11-18 | Paper |
| Parametric Feynman integrals and determinant hypersurfaces | 2011-11-17 | Paper |
| Noncommutative Geometry and Arithmetic | 2011-11-11 | Paper |
| Motivic renormalization and singularities | 2011-05-31 | Paper |
| The spectral action and cosmic topology | 2011-05-25 | Paper |
| Cuntz-Krieger algebras and wavelets on fractals | 2011-05-20 | Paper |
| Feynman motives and deletion-contraction relations | 2011-05-18 | Paper |
| Graph hypersurfaces and a dichotomy in the Grothendieck ring | 2011-04-06 | Paper |
| ALGEBRO-GEOMETRIC FEYNMAN RULES | 2011-04-01 | Paper |
| Spin foams and noncommutative geometry | 2010-11-18 | Paper |
| Open string theory and planar algebras | 2010-10-11 | Paper |
| The Weil Proof and the Geometry of the Adelès Class Space | 2010-09-24 | Paper |
| Dynamical Systems on Spectral Metric Spaces | 2010-08-26 | Paper |
| Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology | 2010-06-21 | Paper |
| Feynman integrals and motives | 2010-06-17 | Paper |
| Cyclotomy and endomotives | 2010-06-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3182201 | 2009-10-06 | Paper |
| Feynman motives of banana graphs | 2009-06-30 | Paper |
| Fun with \(\mathbb F_1\) | 2009-05-28 | Paper |
| Noncommutative geometry, quantum fields and motives | 2009-04-17 | Paper |
| Modular shadows and the Lévy—Mellin ∞—adic transform | 2009-02-09 | Paper |
| Solvmanifolds and noncommutative tori with real multiplication | 2008-12-11 | Paper |
| Coverings, correspondences, and noncommutative geometry | 2008-12-10 | Paper |
| Supermanifolds from Feynman graphs | 2008-08-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3504167 | 2008-06-11 | Paper |
| Zeta functions that hear the shape of a Riemann surface | 2008-06-05 | Paper |
| On the \(K\)-theory of graph \(C^{*}\)-algebras | 2008-06-03 | Paper |
| Gravity and the standard model with neutrino mixing | 2008-03-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5440028 | 2008-01-30 | Paper |
| Noncommutative geometry and motives: the thermodynamics of endomotives | 2007-09-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3595623 | 2007-08-28 | Paper |
| Quantum statistical mechanics over function fields | 2007-06-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3424902 | 2007-03-05 | Paper |
| Modular Curves, C*-algebras, and Chaotic Cosmology | 2007-01-31 | Paper |
| Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory | 2007-01-31 | Paper |
| KMS states and complex multiplication | 2007-01-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5488005 | 2006-09-13 | Paper |
| Towards the fractional quantum Hall effect: a noncommutative geometry perspective | 2006-09-13 | Paper |
| \(\mathbb Q\)-lattices: quantum statistical mechanics and Galois theory | 2005-12-05 | Paper |
| Quantum fields and motives | 2005-12-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5464459 | 2005-08-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4668567 | 2005-04-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4664215 | 2005-04-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4652132 | 2005-02-24 | Paper |
| From Physics to Number Theory via Noncommutative Geometry, Part II: Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory | 2004-11-11 | Paper |
| Noncommutative geometry, dynamics, and \(\infty\)-adic Arakelov geometry | 2004-10-01 | Paper |
| Lectures on Arithmetic Noncommutative Geometry | 2004-09-27 | Paper |
| From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-lattices | 2004-04-06 | Paper |
| Equivariant Seiberg-Witten Floer homology | 2003-12-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4435768 | 2003-11-18 | Paper |
| Spectral triples in Arakelov geometry | 2003-06-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4807428 | 2003-05-18 | Paper |
| Limiting modular symbols and the Lyapunov spectrum. | 2003-04-28 | Paper |
| THE GEOMETRIC TRIANGLE FOR 3-DIMENSIONAL SEIBERG–WITTEN MONOPOLES | 2003-01-01 | Paper |
| Continued fractions, modular symbols, and noncommutative geometry | 2002-12-01 | Paper |
| Holography principle and arithmetic of algebraic curves. | 2002-10-22 | Paper |
| Triplets spectraux en geometrie d'Arakelov | 2002-09-15 | Paper |
| Seiberg-Witten and Casson-Walker invariants for rational homology 3-spheres | 2002-08-21 | Paper |
| Twisted index theory on good orbifolds. II: Fractional quantum numbers | 2001-08-09 | Paper |
| Exact triangles in monopole homology and the Casson-Walker invariant | 2001-01-16 | Paper |
| TWISTED INDEX THEORY ON GOOD ORBIFOLDS, I: NONCOMMUTATIVE BLOCH THEORY | 2000-11-14 | Paper |
| Exact triangles in Seiberg-Witten Floer theory. Part III: proof of exactness | 2000-09-15 | Paper |
| Exact triangles in Seiberg-Witten Floer theory. Part IV: Z-graded monopole homology | 2000-09-15 | Paper |
| Seiberg-Witten gauge theory | 2000-05-18 | Paper |
| Gauge groups and characteristic classes | 1997-09-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4883942 | 1997-03-25 | Paper |
| SEIBERG-WITTEN-FLOER HOMOLOGY AND HEEGAARD SPLITTINGS | 1996-12-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4837707 | 1995-10-05 | Paper |
| Notes on Seiberg-Witten Gauge Theory | 1995-09-20 | Paper |
