Guerino Mazzola | Academic Influence

Guerino Mazzola's AcademicInfluence.com Rankings

Guerino Mazzola

Mathematics

#4869

World Rank

#6883

Historical Rank

Set Theory

#26

World Rank

#34

Historical Rank

mathematics Degrees

Guerino Mazzola

Philosophy

#9506

World Rank

#13077

Historical Rank

Logic

#7087

World Rank

#8723

Historical Rank

philosophy Degrees

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Mathematics
Philosophy

Guerino Mazzola's Degrees

PhD Mathematics ETH Zurich
PhD Musicology University of Zurich

Why Is Guerino Mazzola Influential?

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According to Wikipedia, Guerino Bruno Mazzola is a Swiss mathematician, musicologist, and jazz pianist, as well as a writer. Education and career Mazzola obtained his PhD in mathematics at University of Zürich in 1971 under the supervision of Herbert Groß and Bartel Leendert van der Waerden. In 1980, he habilitated in Algebraic Geometry and Representation Theory. In 2000, he was awarded the medal of the Mexican Mathematical Society. In 2003, he habilitated in Computational Science at the University of Zürich.

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Guerino Mazzola's Published Works

Number of citations in a given year to any of this author's works

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

The algebraic and geometric classification of associative algebras of dimension five (1979) (113)
Generic finite schemes and Hochschild cocycles (1980) (78)
The Topos of Music: Geometric Logic of Concepts, Theory, and Performance (2002) (67)
Diagrams, gestures and formulae in music (2007) (57)
Flow, Gesture, and Spaces in Free Jazz - Towards a Theory of Collaboration (2008) (55)
The RUBATO Performance Workstation on NeXTSTEP (1994) (47)
Analyzing Musical Structure and Performance : A Statistical Approach (1999) (46)
The Topos of Music (2018) (40)
From Contour Similarity to Motivic Topologies (2000) (39)
Musical consonances and dissonances: Are they distinguished independently by the right and left hippocampi? (1986) (39)
Musical Creativity - Strategies and Tools in Composition and Improvisation (2012) (36)
Tempo Curves Revisited: Hierarchies of Performance Fields (1994) (34)
Categorical gestures, the diamond conjecture, Lewin's question, and the Hammerklavier Sonata (2009) (33)
From a Categorical Point of View: K-Nets as Limit Denotators (2021) (33)
Timing microstructure in Schumann's “Träumerei” as an expression of harmony, rhythm, and motivic structure in music performance☆ (2000) (26)
Visualizing the Relationship between Two Time Series by Hierarchical Smoothing Models (1999) (26)
A symmetry-oriented mathematical model of classical counterpoint and related neurophysiological investigations by depth EEG (1989) (25)
Motivic analysis according to Rudolph Réti: formalization by a topological model (2008) (22)
Explicit (Semantic) Memory for Music in Patients with Mild Cognitive Impairment and Early-Stage Alzheimer's Disease (2013) (19)
Performance and Interpretation (2002) (19)
Computational Counterpoint Worlds (2015) (18)
Towards a Categorical Theory of Creativity for Music, Discourse, and Cognition (2013) (18)
Musical Performance - A Comprehensive Approach: Theory, Analytical Tools, and Case Studies (2011) (18)
Computational Musicology in Hindustani Music (2014) (16)
Perspectives in mathematical and computational music theory (2004) (15)
The BigBang Rubette: gestural Music Composition with Rubato Composer (2008) (15)
Singular homology on hypergestures (2012) (15)
What Is Free Jazz (2009) (15)
Hypergestures in Complex Time: Creative Performance Between Symbolic and Physical Reality (2015) (15)
The Topos Geometry of Musical Logic (2002) (14)
Inverse Performance Theory (1995) (14)
Cool Math for Hot Music (2016) (14)
Functors for Music: The Rubato Composer System (2006) (13)
The Cofinal Character of Uniform Spaces and Ordered Fields (1971) (13)
The Extraction of Expressive Shaping in Performance (2003) (12)
Rational composition of performance (1998) (12)
The Composing Hand: Musical Creation with Leap Motion and the BigBang Rubette (2014) (10)
"Cooking a Canon with RUBATO®": Performance Aspects of J.S. Bach's "Kunst der Fuge" (1998) (9)
Getting Off the Ground (2011) (9)
Mathematical Music Theory|Status Quo 2000 (2001) (8)
Constraint-based Shaping of Gestural Performance (2003) (8)
Global functorial hypergestures over general skeleta for musical performance (2016) (8)
Comprehensive Mathematics for Computer Scientists 1: Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry (Universitext) (2006) (8)
Gestural Shaping And Transformation In A Universal Space Of Structure And Sound (2010) (7)
Neuronal Response in Limbic and Neocortical Structures During Perception of Consonances and Dissonances (1995) (7)
Musical composition and Performance : statistical decomposition and interpretation (2001) (7)
Using the Creative Process for Sound Design Based on Generic Sound Form (2021) (6)
Contrapuntal Aspects of the Mystic Chord and Scriabin's Piano Sonata No. 5 (2016) (6)
Towards Big Science: Geometric Logic of Music and its Technology (1995) (6)
Topologien gestalteter Motive in Kompositionen (2003) (6)
Semiotic Aspects of Generalized Bases of Data (1999) (6)
How to Count the Number of Irreducible Components of the Scheme of Finite-Dimensional Algebra Structures (1982) (6)
Musical Composition and Gestural Diagrams (2011) (6)
On the relationship between tempo and quantitative metric, melodic, and harmonic information in Chopin's Prélude Op. 28 No. 4: a statistical analysis of 30 performances (2014) (5)
Creative Analysis of Boulez’s Structures (2009) (5)
The Topos of Music III: Gestures (2018) (5)
All About Music (2016) (5)
The Topos of Music I: Theory (2018) (5)
Hegel’s Conceptual Group Action on Creative Dynamics in Music (2014) (5)
[Dementia and music]. (2009) (4)
A harmonic analysis network (2015) (4)
Comprehensive Mathematics for Computer Scientists 2: Calculus and ODEs, Splines, Probability, Fourier and Wavelet Theory, Fractals and Neural Networks, Categories and Lambda Calculus (Universitext) (2004) (4)
Basic Music Technology: An Introduction (2018) (4)
Cool Math for Hot Music: A First Introduction to Mathematics for Music Theorists (2016) (4)
Mathematical Music Theory and the Musical Math Game - Two Creative Ontological Switches (2017) (4)
Musical Gestures (2021) (4)
Perspectives in Mathematical Music Theory (2004) (4)
Analysis of Analysis (2002) (3)
Thinking music with precision, depth, and passion (2012) (3)
An Introduction to Indian Classical Music (2014) (2)
Computational Music Science (2009) (2)
Melting Glass Beads — The Multiverse Game of Gestures and Strings (2016) (2)
The Contrapuntal Aspect (2011) (2)
Performance and Composition (2020) (2)
What Is Structure Theory (2011) (2)
Creativity in Music (2011) (2)
From Fux to Ragas-Morphing Contrapuntal Worlds (2007) (2)
Diagrams, gestures and formulae in music (2007) (2)
Short History of the Relation Between Mathematics and Music (2016) (1)
Basic Music Technology (2018) (1)
The Zürich Performance Workstation Project — An Overview (1995) (1)
[Working memory for music in patients with mild cognitive impairment and early stage Alzheimer's disease]. (2013) (1)
Software Tools and Hardware Options (2020) (1)
Reviewing Flow, Gesture, and Spaces in Free Jazz (2017) (1)
The Babushka Principle in Semiotics: Connotation, Motivation, and Metatheory (2016) (1)
Music @ EncycloSpace (1997) (1)
What Is Flow (2009) (1)
Standard MIDI Files (2018) (1)
A Statistical Comparison of Bhairav (a Morning Raga) and Bihag (a Night Raga) (2014) (1)
The Topos of Music II: Performance (2018) (1)
Human and Machine Music (2020) (1)
The BigBang Rubette (2009) (1)
Constructing Androids as Emotional Agents in Robot-Human Relationship (2007) (1)
Functorial semiotics for creativity (2020) (1)
Geometry of Gestures (2009) (1)
Local and global limit denotators and the classification of global compositions (2005) (1)
Elements of a Future Vocal Gesture Theory (2017) (1)
Raga Analysis Using Entropy (2014) (1)
The Future of Music (2020) (1)
Directed and Undirected Graphs (2016) (1)
Performance Scores (2019) (1)
The Topos of Music IV: Roots (2017) (1)
Gestures: Gestural Interaction and Gesturalization (2017) (1)
Jazz in Transition (2009) (1)
Hypergesture Homology for Performance Stemmata with Lie Operators (2013) (1)
Gestural Dynamics in Modulation: (Towards) a Musical String Theory (2017) (1)
Gestural Analysis and Classification of a Conductor’s Movements (2017) (1)
Creativity in Composition and Improvisation (2011) (1)
Sets and numbers, graphs and algebra, logic and machines, linear geometry (2004) (1)
Imaginary Time (2021) (1)
Hypergesture Homology for Counterpoint (2015) (1)
Mathematical Models of Creativity (2017) (1)
A Projection-Oriented Mathematical Model for Second-Species Counterpoint (2018) (1)
BOOK REVIEW (2008) (0)
Kramer’s Time Concepts Summary. (2021) (0)
The Art of Collaboration (2009) (0)
Fundamental Concepts and Associated Categories (2017) (0)
Structures of Organized Time (2021) (0)
The Topos of Music IV: Roots: Appendices (2018) (0)
Functorial Semiotics for Creativity in Music and Mathematics (2022) (0)
De Saussure’s Six Dichotomies (2016) (0)
Unfolding Geometry and Logic in Time (2002) (0)
Composing and Analyzing with the Performing Body (2017) (0)
The Euler Space (2018) (0)
Prolegomena on Counterpoint (2015) (0)
Mazzola's final response to Geraint A. Wiggins (2012) (0)
Time in Cultures, History and Present (2021) (0)
Mathematical Music Theory (2020) (0)
Live jazz concert with silent movie: "Dr. Jekyll and Mr. Hyde" (1984) (0)
A Categorical Look at Gesture Theory (2015) (0)
The Future of Free Jazz (2009) (0)
Out of this World (2023) (0)
Personae / Acknowledgement (2021) (0)
Music Without Scores (2016) (0)
Complements on Calculus (2017) (0)
Standard Sound Synthesis (2018) (0)
Hidden symmetries of classical tonality in Schönberg's dodecaphonic compositions (2008) (0)
Gesture Homology for Counterpoint (2017) (0)
Roots, Logarithms, and Normal Forms (2016) (0)
Group Actions, Subgroups, Quotients, and Products (2016) (0)
Experiments with Local and Global Rhythms (2021) (0)
Metrics and Rhythmics (2002) (0)
Time in Physics (2021) (0)
Gesture and Vocalization (2017) (0)
HE RUBATO W ORKSTATION FOR M USICAL A NALYSIS AND P ERFORMANCE (0)
Mathematical Gesture Theory (2020) (0)
New Concepts of Musical Instruments (2020) (0)
M (2, ℤ) \ ℤ2-o-scope (1985) (0)
Differential Operators and Regression (2002) (0)
Art Making as Research (2020) (0)
New Means of Creation (2018) (0)
The RUBETTE® Family (2002) (0)
Local Facts, Processes, and Gestures (2017) (0)
Complements on Physics (2017) (0)
The Role of Music in the Diversifying Cultures (Africa, East Asia, South Asia) (2020) (0)
Quasipolarities and Interval Dichotomies (2015) (0)
Symmetries and Morphisms (2002) (0)
Oniontology: Realities, Communication, Semiotics, and Embodiment of Music (2011) (0)
The CD Passionate Message (2011) (0)
Relating Tempo to Metric, Melodic and Harmonic Analyses in Chopin’s Prélude op. 28, No. 4 (2017) (0)
The BigBang Rubette and the Ontological Dimension of Embodiment (2017) (0)
General Introduction by Guerino Mazzola (2016) (0)
Taxonomy of Expressive Performance (2002) (0)
Flow and gesture in free jazz (2015) (0)
Hesse’s Melting Beads: A Multiverse Game with Strings and Gestures (2017) (0)
Solutions of Exercises (2016) (0)
Analog and Digital Sound Encoding (2018) (0)
Serialism: Failure of New Concepts Without Musical Impact (2020) (0)
Mazzola’s Sonata Construction: A Technical Approach and Its Limits (2020) (0)
ComMute - Towards a Computational Musical Theory of Everything (2019) (0)
Calculus and ODEs, splines, probability, Fourier and wavelet theory, fractals and neural networks, categories and Lambda calculus (2005) (0)
Goebel, Pang, and Rochester: Applications (2021) (0)
Exploring Exotic Counterpoint Compositions (2021) (0)
The Case of Counterpoint and Harmony (2002) (0)
Hierarchies and Performance Scores (2002) (0)
Some contrapuntal observations on the mystic chord and Scriabin's Piano Sonata No. 5 (2016) (0)
Gestures: From Philosophy to Thought Experiments (2009) (0)
Principles of Music Critique (2002) (0)
More Complements on Mathematics (2017) (0)
Historicity in Music (2020) (0)
Case Study I: “Synthesis” by Guerino Mazzola (2002) (0)
Tuning, Intonation, and Dynamics (2011) (0)
Local and Global Strategies in Composition (2002) (0)
Well-Tempered and Just Modulation Steps (2017) (0)
Introduction to RUBATO: The Music Software for Statistical Analysis (2014) (0)
The French Presemiotic Approach (2017) (0)
Ontology, Oniontology, and the Artistic Presence (2021) (0)
Two Generic Models and the Challenge of Improvisation (2011) (0)
General Performance Fields (2011) (0)
Examples of Creative Extensions in Music (2020) (0)
Euclid and Normal Forms (2016) (0)
Visualization Technologies For Music, Dance, and Staging In Operas (2013) (0)
The Pitch Aspect (2011) (0)
Topoi of Music (2002) (0)
Riemannian Harmony and The HarmoRubette Software (2016) (0)
Large Form Aspects (2011) (0)
Short History of Performance Theory (2011) (0)
Hypergestures for Performance Stemmata (2017) (0)
Neuroscience and Gestures (2016) (0)
List of Symbols (2011) (0)
General Introduction (2020) (0)
Towers of Counterpoint (2015) (0)
The Category of Performance Cells and Hierarchies (2011) (0)
Coltrane’s Giant Steps (2016) (0)
Rings and Fields (2016) (0)
Modeling Kramer’s Time Concepts (2021) (0)
Classification of complex musical structures by Grassmann schemes (2011) (0)
Modules, Linear, and Affine Transformations (2017) (0)
Sets, Relations, Monoids, Groups (2017) (0)
Auditory Physiology and Psychology (2017) (0)
The Specifically Musical Walls Against Creativity (2020) (0)
Consciousness, Creativity, and Complex Time in Music (2021) (0)
Common Parameter Spaces (2017) (0)
COMMUTE: Towards a Computational Musical Theory of Everything (2020) (0)
Object-Oriented Programming in OpenMusic (2002) (0)
Improvisation and the Synthesis Project on the Presto Software (2020) (0)
Just and Well-Tempered Tuning (2017) (0)
The General Method of Creativity (2011) (0)
Euler-Lagrange Equations for Hypergestures (2017) (0)
Complements on General and Algebraic Topology (2017) (0)
Recapitulation of the First Three Dimensions: Realities, Semiotics, Communication (2016) (0)
The Innards of Time (2009) (0)
Categories of Gestures over Topological Categories (2017) (0)
Summary of Performance Theory (2011) (0)
Combining Tempo, Tuning, and Dynamics (2011) (0)
Mazzola's response to Wiggins’ position paper (2012) (0)
Global Strategies for Free Jazz (2009) (0)
Future Theories (Counterpoint Etc.) (2020) (0)
Western Notation and Performance (2018) (0)
Celebrating Rudolf Wille's 75th anniversary and his contributions to mathematical music theory (2012) (0)
Mazzola's response to Marsden's text (2012) (0)
What the Book Is About (2011) (0)
The Role of Statistics in Computational Musicology (2014) (0)
The ‘Counterpoint’ of Mathematics and Music (2016) (0)
Gesture Theory and String Theory (2017) (0)
Functions and Relations (2016) (0)
Inverse Performance Theory I Nverse P Erformance T Heory (2007) (0)
Meters and Rhythm (2021) (0)
The Escher Theorem and Gestural Creativity in Free Jazz (2009) (0)
Esthetics and Classification (2002) (0)
The Need for a Gesture Theory in Music (2016) (0)
Physical and Musical Multiverses (2017) (0)
The Architecture of Sets (2016) (0)
Gesture Philosophy: Phenomenology, Ontology, and Semiotics (2017) (0)
Boulez: Structures Recomposed (2011) (0)
What is Music About (2002) (0)
From a categoricl point of view (2019) (0)
Rings and Algebras (2017) (0)
Proposal for a Roundtable Discussion on the Role of Abstract Mathematics in Computer Music (2004) (0)
The Case of the Twelve-Tone Scale (2015) (0)
Time in Philosophy (2021) (0)
The Rubato Composer Music Software - ReadingSample (2017) (0)
The Rubato Composer Architecture (2017) (0)
Imaginary Time: Extending Musical Time Concepts to Cognitive Dimensions (2020) (0)
A Computational Music Theory of Everything: Dream or Project? (2021) (0)
Frege’s Prison of Functions (2016) (0)
Stokes’ Theorem for Hypergestures (2017) (0)
Generalities about Signs, Neumes, Periods and Development Sentences (2016) (0)
Rethinking Music Critique (2011) (0)
Distributed Identity in Music (2021) (0)
Modeling the Structure of Raga Bhimpalashree: A Statistical Approach (2014) (0)
Limits of Gestural Diagrams (2021) (0)
Processes: BigBang’s Operation Graph (2017) (0)
A Critique of the Western Concept of Music (2020) (0)
Semiotics of Time (2021) (0)
Two, Three, and Four Tone Motif Classes (2017) (0)
Are Aesthetics and Business Antagonists? (2020) (0)
The Topos of Gestures (2017) (0)
The Technical Setup (2011) (0)
Historical and Theoretical Prerequisites (2002) (0)
From Pre-to Postproduction: The Infinite Listening (2009) (0)
Big Science in Music (2020) (0)
The Escher Theorem (2011) (0)
Principles of Creative Pedagogy (2011) (0)
Do the right and left hippocampi independently distinguish musical consonances and dissonances (1985) (0)
The Basic Functions of Music (2020) (0)
What Is Expressive Theory (2011) (0)
Modulation Theory and Lie Brackets of Vector Fields (2017) (0)
Local and Global Performance Transformations (2002) (0)
Modeling Counterpoint by Local Symmetries (2002) (0)
Genealogy and Ontology of Human Time Perception (2021) (0)
Creative Aspects of Musical Systems: The Case of Serialism (2011) (0)
Cultural Music Translation (2018) (0)
Erratum to: Oniontology (2011) (0)
Melodic Variation by Arrows (2002) (0)
Cultural Theories of Gesture (2020) (0)
The Paradigmatic Discourse on presto (2002) (0)
Interval Dichotomies as an Expression of Contrast (2002) (0)
String Quartet Theory (2011) (0)
Facts: Denotators and Their Visualization and Sonification (2017) (0)
Models from Music (2017) (0)
Modeling Musical Performance Data with Statistics (2014) (0)
Acoustics, Instruments, Music Software, and Creativity (2011) (0)
Euler’s Gradus Function (2017) (0)
Forms and Denotators over Topological Categories (2017) (0)
Analysis of Lengths and Similarity of Melodies in Raga Bhimpalashree (2014) (0)
What Is Art (2016) (0)
The Harmonic Aspect (2011) (0)
Recapitulation of Creativity Theory (2020) (0)
Making Musical Time (2021) (0)
Ontology and Oniontology (2020) (0)
Initial Sets and Initial Performances (2002) (0)
Chain of Decisions in Musical Performance (2018) (0)
First-Species Model (2015) (0)
Manifolds in Time and Space (2018) (0)
Estimation of Resolution Parameters (2002) (0)
Chord and Third Chain Classes (2017) (0)
Modulation in tetradic harmony and its role in jazz (2018) (0)
Categories, Topoi, and Logic (2017) (0)
Musical Distribution Channels: New Networks (2020) (0)
De Saussure and Peirce: the Semiotic Architecture (2016) (0)
A Short History of MIDI (2018) (0)
Boulez’s Creative Analysis: An Arcane Compositional Strategy in the Light of Mathematical Music Theory (2015) (0)
Musical Time Constructs, the Art of Time and Human Creativity (2021) (0)
Only One Restriction: Quality (2020) (0)
Models and Experiments in Musicology (2002) (0)
The Third Torus and Counterpoint (2016) (0)

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