John C. Baez
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American mathematician and mathematical physicist
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Mathematics
John C. Baez's Degrees
- Bachelors Mathematics Princeton University
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Why Is John C. Baez Influential?
(Suggest an Edit or Addition)According to Wikipedia, John Carlos Baez is an American mathematical physicist and a professor of mathematics at the University of California, Riverside in Riverside, California. He has worked on spin foams in loop quantum gravity, applications of higher categories to physics, and applied category theory. Additionally, Baez is known on the World Wide Web as the author of the crackpot index.
John C. Baez's Published Works
Published Works
- The Octonions (2001) (1150)
- Quantum geometry and black hole entropy (1997) (885)
- Higher dimensional algebra and topological quantum field theory (1995) (581)
- Quantum geometry of isolated horizons and black hole entropy (2000) (536)
- An Introduction to spin foam models of quantum gravity and BF theory (1999) (466)
- Spin foam models (1997) (392)
- Higher-Dimensional Algebra VI: Lie 2-Algebras (2003) (391)
- Higher-Dimensional Algebra V: 2-Groups (2003) (378)
- The 2010 Mw 8.8 Maule Megathrust Earthquake of Central Chile, Monitored by GPS (2011) (355)
- Gauge Fields, Knots and Gravity (1994) (288)
- Introduction to Algebraic and Constructive Quantum Field Theory (1992) (281)
- Higher-Dimensional Algebra III: n-Categories and the Algebra of Opetopes (1997) (278)
- Higher Dimensional Algebra: I. Braided Monoidal 2-Categories (1995) (264)
- Physics, Topology, Logic and Computation: A Rosetta Stone (2009) (257)
- Spin network states in gauge theory (1994) (244)
- An invitation to higher gauge theory (2010) (196)
- Higher gauge theory (2005) (193)
- From Finite Sets to Feynman Diagrams (2000) (190)
- Knots and quantum gravity (1994) (178)
- OPERADS IN ALGEBRA, TOPOLOGY AND PHYSICS (Mathematical Surveys and Monographs 96) By M ARTIN M ARKL , S TEVE S HNIDER and J IM S TASHEFF : 349 pp., US$89.00, ISBN 0-8218-2134-2 (American Mathematical Society, Providence, RI, 2002). (2003) (171)
- Quantum Quandaries: a Category-Theoretic Perspective (2004) (162)
- From loop groups to 2-groups (2005) (160)
- The Algebra of Grand Unified Theories (2009) (158)
- The Quantum Tetrahedron in 3 and 4 Dimensions (1999) (151)
- Generalized measures in gauge theory (1993) (146)
- Convenient Categories of Smooth Spaces (2008) (138)
- Link invariants of finite type and perturbation theory (1992) (128)
- Categorified Symplectic Geometry and the Classical String (2008) (126)
- Higher-Dimensional Algebra II. 2-Hilbert Spaces☆ (1996) (126)
- Higher Gauge Theory: 2-Connections on 2-Bundles (2004) (125)
- A Characterization of Entropy in Terms of Information Loss (2011) (122)
- Spin Networks in Nonperturbative Quantum Gravity (1995) (111)
- Diffeomorphism-invariant generalized measures on the space of connections modulo gauge transformations (1993) (108)
- Higher Yang-Mills Theory (2002) (104)
- Higher-Dimensional Algebra and Planck-Scale Physics (1999) (104)
- Categories in Control (2014) (103)
- Lectures on N-Categories and Cohomology (2006) (97)
- Functional integration on spaces of connections (1995) (97)
- An Introduction to n-Categories (1997) (92)
- A Compositional Framework for Passive Linear Networks (2015) (90)
- Asymptotics of 10j symbols (2002) (88)
- Spin foam models of Riemannian quantum gravity (2002) (88)
- Exotic statistics for strings in 4d BF theory (2006) (87)
- Division Algebras and Quantum Theory (2011) (77)
- Categorified symplectic geometry and the string Lie 2-algebra (2009) (73)
- Higher-dimensional algebra IV: 2-tangles (1998) (73)
- The Meaning of Einstein's Equation (2001) (73)
- Book Review: On quaternions and octonions: Their geometry, arithmetic, and symmetry (2005) (70)
- A Compositional Framework for Reaction Networks (2017) (69)
- Division Algebras and Supersymmetry I (2009) (63)
- Four-dimensional BF theory as a topological quantum field theory (1995) (60)
- Integrability for relativistic spin networks (2001) (59)
- The global Goursat problem and scattering for nonlinear wave equations (1990) (58)
- A compositional framework for Markov processes (2015) (57)
- A Bayesian Characterization of Relative Entropy (2014) (55)
- A Prehistory of n-Categorical Physics (2009) (55)
- Higher-Dimensional Algebra VII: Groupoidification (2009) (53)
- Teleparallel Gravity as a Higher Gauge Theory (2012) (52)
- Quantization of diffeomorphism invariant theories with fermions (1997) (50)
- Quantization of strings and branes coupled to BF theory (2006) (50)
- The Classifying Space of a Topological 2-Group (2008) (50)
- Hochschild homology in a braided tensor category (1994) (48)
- Infinite-Dimensional Representations of 2-Groups (2008) (48)
- Relative Entropy in Biological Systems (2015) (47)
- An algebraic approach to discrete mechanics (1994) (44)
- Quantum Techniques in Stochastic Mechanics (2012) (41)
- Open Petri nets (2018) (41)
- Knots and quantum gravity: Progress and prospects (1994) (40)
- Diffeomorphism-Invariant Spin Network States☆ (1997) (39)
- G2 and the Rolling Ball (2012) (38)
- Strings, Loops, Knots and Gauge Fields (1993) (38)
- Positivity of spin foam amplitudes (2001) (37)
- Props in Network Theory (2017) (35)
- A Noether Theorem for Markov Processes (2012) (34)
- Structured Cospans (2019) (31)
- Rényi Entropy and Free Energy (2011) (31)
- Strings and two-dimensional QCD for finite N☆ (1994) (30)
- Towards Higher Categories (2010) (30)
- Algorithmic thermodynamics (2010) (26)
- R-commutative geometry and quantization of Poisson algebras (1992) (26)
- Bell's inequality forC*-algebras (1987) (26)
- Quantum gravity and the algebra of tangles (1992) (24)
- Wormholes and entanglement (2014) (23)
- The strangest numbers in string theory. (2011) (22)
- A Course on Quantum Techniques for Stochastic Mechanics (2012) (22)
- Uncertainty in measurements of distance (2002) (20)
- and the rolling ball (2014) (19)
- Wick Products of the Free Bose Field (1989) (17)
- Quantum gravity: The quantum of area? (2003) (15)
- Foundations of Mathematics and Physics One Century After Hilbert: New Perspectives (2019) (14)
- Scattering and the geometry of the solution manifold of □ƒ + λƒ3 = 0 (1989) (14)
- Exotic Statistics for Loops in 4d BF Theory (2006) (14)
- Isbell Duality (2022) (13)
- Quantum techniques for studying equilibrium in reaction networks (2013) (13)
- Degenerate Solutions of General Relativity from Topological Field Theory (1997) (13)
- Link Invariants, Holonomy Algebras, and Functional Integration (1993) (13)
- Differential calculi on quantum vector spaces with Hecke-type relations (1991) (13)
- Categories of Nets (2021) (12)
- Getting to the Bottom of Noether's Theorem (2020) (11)
- Quantropy (2013) (10)
- Groupoidification Made Easy (2008) (9)
- Conserved quantities for the Yang-Mills equations (1990) (9)
- The global Goursat problem on R × S1 (1989) (9)
- Network Models from Petri Nets with Catalysts (2019) (9)
- Operads and Phylogenetic Trees (2015) (9)
- Monte Carlo Methods in Climate Science (2013) (8)
- Scattering for the Yang-Mills equations (1989) (8)
- Analyticity of scattering for the ϕ4 theory (1989) (8)
- Structured versus Decorated Cospans (2021) (8)
- Topological aspects of spin and statistics in nonlinear sigma models (1992) (8)
- A Prehistory of n-Categorical Physics DRAFT VERSION (2009) (8)
- Network Models. (2017) (8)
- Quantum Techniques for Reaction Networks (2013) (8)
- Higher Gauge Theory II : 2-Connections (7)
- Scattering and complete integrability in the massive ϑ4 theory (1990) (7)
- Topological Crystals (2016) (7)
- Physics, Topology, Logic and Computation: (2009) (7)
- The Lebesgue universal covering problem (2015) (7)
- Scattering and complete integrability in conformally invariant nonlinear theories (1990) (7)
- Spin Foam Perturbation Theory (1999) (7)
- Calabi-Yau Manifolds and the Standard Model (2005) (7)
- On the BV Formalism (2005) (6)
- This Week's Finds in Mathematical Physics (1-50) (2021) (6)
- Struggles with the Continuum (2016) (6)
- Scattering and Complete Integrability in Four Dimensions (6)
- Compositional Modeling with Stock and Flow Diagrams (2022) (6)
- Open systems in classical mechanics (2017) (5)
- TOPOLOGICAL LOWER BOUND ON THE ENERGY OF A TWISTED ROD (1991) (5)
- Influence of the Climatic Oscillations on the Sardine off Northwest Africa during the period 1976-1996 (2017) (5)
- Einstein's Equation (1994) (5)
- On Categorification (1997) (4)
- The New Variables (1994) (4)
- Theory with Cosmological Term as a Topological Quantum Field Theory (1995) (4)
- Higher-Dimensional Algebra VIII: The Hecke Bicategory (2009) (4)
- Is life improbable? (1989) (4)
- Coarse-Graining Open Markov Processes (2017) (4)
- Higher Gauge Theory, Homotopy Theory and N-categories 1 a Taste of Gauge Theory (2005) (3)
- The Earth: for physicists (2009) (3)
- Recursivity in quantum mechanics (1983) (3)
- On quantum fields satisfying a given wave equation (1992) (3)
- The Fundamental Theorem of Natural Selection (2021) (2)
- The vacuum and lightcone quantization of interaction Hamiltonians (1991) (2)
- 4-Dimensional BF Theory with Cosmological Term as a Topological Quantum Field Theory (2018) (2)
- Enriched Lawvere Theories for Operational Semantics (2019) (2)
- Renormalized oscillator Hamiltonians (1992) (2)
- Operads for Designing Systems of Systems (2020) (2)
- Schur Functors and Categorified Plethysm (2021) (1)
- 2 14 A pr 2 00 4 Quantum Quandaries : A Category-Theoretic Perspective (2004) (1)
- LOOP QUANTUM GRAVITY, QUANTUM GEOMETRY AND SPIN FOAMS (2005) (1)
- QUANTUM THEORY AND ANALYSIS (2015) (1)
- Applied Category Theory in Chemistry, Computing, and Social Networks (2021) (1)
- Elementary Particles (1)
- Degenerate Solutions of General Relativity from (1998) (1)
- Categorifying Fundamental Physics (1)
- Compositional thermostatics (2021) (1)
- The Brownian Map (2021) (1)
- Computation and the Periodic Table (2009) (1)
- Biochemical Coupling Through Emergent Conservation Laws (2018) (1)
- Categorical Methods at the Crossroads (Dagstuhl Perspectives Workshop 14182) (2014) (1)
- Subcellular Life Forms (1998) (1)
- On the Hopf Term in a Two-Dimensional σ Model for Antiferromagnets (1991) (1)
- - and Post-Seismic Surface Deformation Produced by the Maule Earthquake as Observed by a Dense Network of Continuous GPS Stations (2010) (1)
- Theories With Duality DRAFT VERSION ONLY (2010) (0)
- Motivating Motives (2023) (0)
- 5. C-Algebraic Quantization (1992) (0)
- This Week's Finds in Mathematical Physics (51-100) (2022) (0)
- Integrability for relativistic spin networks (2001) (0)
- This Week's Finds in Mathematical Physics (101-150) (2023) (0)
- 9 50 40 36 v 1 2 1 A pr 1 99 5 Spin Networks in Nonperturbative Quantum Gravity (0)
- Semi-Riemannian Geometry (1994) (0)
- 6. Quantization of Linear Differential Equations (1992) (0)
- Proceedings Applied Category Theory 2019 (2020) (0)
- 2. The Free Fermion Field (1992) (0)
- Proceedings Applied Category Theory 2019: Preface (2020) (0)
- N ov 2 01 8 A Compositional Framework for Passive Linear Networks (2018) (0)
- 90 50 87 v 1 2 1 M ay 1 99 9 An Introduction to Spin Foam Models of BF Theory and Quantum Gravity (2022) (0)
- HOMOLOGY IN A BRAIDED TENSOR CATEGORY (2010) (0)
- Rewriting Maxwell's Equations (1994) (0)
- Algorithmic Thermodynamics DRAFT VERSION (2010) (0)
- From Classical to Quantum and Back (2020) (0)
- C T ] 5 S ep 2 01 9 ENRICHED LAWVERE THEORIES FOR OPERATIONAL SEMANTICS (2019) (0)
- Q A ] 1 5 Ju l 2 00 3 Higher-Dimensional Algebra V : 2-Groups (2008) (0)
- 0 20 10 30 v 1 9 J an 2 00 2 Uncertainty in Measurements of Distance (2008) (0)
- J an 2 00 1 INTEGRABILITY FOR RELATIVISTIC SPIN NETWORKS (0)
- Short Stories: The Icosidodecahedron (2023) (0)
- A Categorical Framework for Modeling with Stock and Flow Diagrams (2022) (0)
- 2 1 N ov 2 01 8 COARSE-GRAINING OPEN MARKOV PROCESSES (2018) (0)
- 1 Classifying Unitary Representations : A 1 (2019) (0)
- Spin foam models (1998) (0)
- 3 1 Ju l 2 02 0 OPEN SYSTEMS IN CLASSICAL MECHANICS (2020) (0)
- Appendix Β. Universal Fields and the Quantization of Wave Equations (1992) (0)
- N ov 1 99 8 Higher-Dimensional Algebra IV : 2-Tangles (2008) (0)
- Irving Ezra Segal (1918–1998), Volume 46, Number 6 (1998) (0)
- Division Algebras and Quantum Theory (2011) (0)
- Comet P/2002 VP_94 (linear) (2010) (0)
- 8. Construction of Nonlinear Quantized Fields (1992) (0)
- Lie Theory Through Examples (2019) (0)
- 1. The Free Boson Field (1992) (0)
- Appendix A. Principal Notations (1992) (0)
- Maxwell's Equations (1994) (0)
- Notes to Part III (1994) (0)
- Lagrangians for General Relativity (1994) (0)
- 0 60 30 85 v 1 2 1 M ar 2 00 6 Exotic Statistics for Loops in 4 d BF theory (2008) (0)
- 3. Properties of the Free Fields (1992) (0)
- Quantum Techniques for Studying Equilibrium in Chemical Reaction Networks (2013) (0)
- Chern-Simons Theory (1994) (0)
- 02 06 13 0 v 2 1 7 Ju n 20 02 Higher Yang – Mills Theory (2008) (0)
- Institute for Mathematical Physics Quantum Geometry and Black Hole Entropy (2009) (0)
- Categorified Symplectic Geometry and the Classical String DRAFT VERSION ONLY (0)
- TfHE OCTONIONS (2004) (0)
- The Kuramoto-Sivashinsky Equation (2022) (0)
- A fire-induced dust storm in Paraguay (2010) (0)
- Mathematical Mysteries of the Periodic Table (2019) (0)
- Minor Planet Observations [J31 La Axarquia] (2011) (0)
- Curvature and the Yang-Mills Equation (1994) (0)
- J ul 1 99 9 Higher-Dimensional Algebra IV : 2-Tangles (2008) (0)
- Link Invariants from Gauge Theory (1994) (0)
- the eightfold (2004) (0)
- Q A ] 4 M ar 2 00 4 Higher-Dimensional Algebra V : 2-Groups (2008) (0)
- Representations of 2-Groups ( version compiled August 25 , 2007 ) (0)
- Rapid GNSS and Data Communication System Deployments In Chile and Argentina Following the M8.8 Maule Earthquake (2010) (0)
- Short Stories (2020) (0)
- DeRham Theory in Electromagnetism (1994) (0)
- Loop quantum gravity (2005) (0)
- Rotations and Angular Momentum (2012) (0)
- Institute for Mathematical Physics Quantization of Diieomorphism-invariant Theories with Fermions Quantization of Diieomorphism-invariant Theories with Fermions (2009) (0)
- From the Icosahedron to E 8 (2017) (0)
- Comet Observations [J31 La Axarquia] (2011) (0)
- Q A ] 1 9 Ju l 2 00 3 Higher-Dimensional Algebra VI : Lie 2-Algebras (2008) (0)
- Ju l 2 01 4 A BAYESIAN CHARACTERIZATION OF RELATIVE ENTROPY (0)
- C T ] 1 J un 2 01 8 Props in Network Theory (2018) (0)
- From the Icosahedron to E8 (2017) (0)
- Young Diagrams and Classical Groups (2023) (0)
- Gauker, C. Words whithout Meaning, Cambridge: MIT Press, 2003, 299 p (2007) (0)
- The Tenfold Way. (2020) (0)
- Spin foam models of Riemannian quantum gravity (2002) (0)
- Positivity of spin foam amplitudes (2002) (0)
- Ju n 20 02 Higher Yang – Mills Theory (2008) (0)
- Uncertainty in measurements of distance (2002) (0)
- Asymptotics of 10j symbols (2002) (0)
- Polyhedral Sets and Combinatorics (1996) (0)
- Analyticity of Scattering for the Theory (0)
- J an 2 01 8 Struggles with the Continuum (2018) (0)
- 2 BF Theory : Classical Field Equations (1999) (0)
- 4. Absolute Continuity and Unitary Implementability (1992) (0)
- Q A ] 2 7 O ct 2 00 4 Higher-Dimensional Algebra VI : Lie 2-Algebras (2008) (0)
- The Gauss-Lucas Theorem (2021) (0)
- Biodiversity, entropy and thermodynamics (2014) (0)
- Higher Dimensional Algebra VI: Lie 2-Algebra (2021) (0)
- The Math That Takes Newton into the Quantum World (2020) (0)
- 7. Renormalized Products of Quantum Fields (1992) (0)
- Quantum Geometry of Isolated Horizons and Bla k Hole (1999) (0)
- Minor Planet Observations [I78 Observatorio Principia, Malaga] (2011) (0)
- The ADM Formalism (1994) (0)
- 2 9 N ov 2 00 5 Higher Gauge Theory (2008) (0)
- A pr 2 00 5 From Loop Groups to 2-Groups (2008) (0)
- Fe b 20 15 Division Algebras and Supersymmetry II (2018) (0)
- Bundles and Connections (1994) (0)
- Comet P/2005 l1 (mcnaught) (2005) (0)
- Why Mathematics is Boring (2007) (0)
- An Algebraic Framework for Stock & Flow Diagrams and Dynamical Systems Using Category Theory (2022) (0)
- Algebras and Quantum Theory (2011) (0)
- Fault slip associated with the Mw 8.8 Chilean Earthquake of 27 February 2010 (Invited) (2010) (0)
- Teleparallel Gravity as a Higher Gauge Theory (2014) (0)
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