×

Grayson, Daniel Richard

Author ID: grayson.daniel-r Recent zbMATH articles by "Grayson, Daniel Richard"
Published as: Grayson, Daniel R.; Grayson, Daniel; Grayson, D. R.; Grayson, Dan; Grayson, D.
Homepage: https://faculty.math.illinois.edu/~dan/
External Links: ORCID · arXiv · Google Scholar · dblp
all top 5

Co-Authors

35 single-authored
4 Stillman, Michael Eugene
2 Bezem, Marc
2 Eisenbud, David
2 Friedlander, Eric Mark
2 Gillet, Henri A.
2 Glazebrook, James F.
2 Hewitt, P. R.
2 Shulman, Michael A.
1 Aczel, Peter
1 Ahrens, Benedikt
1 Altenkirch, Thorsten
1 Anderson, Lara B.
1 Angiuli, Carlo
1 Ash, Avner
1 Atiyah, Michael Francis
1 Avigad, Jeremy
1 Avramov, Luchezar L.
1 Awodey, Steve
1 Barras, Bruno
1 Bass, Hyman
1 Bauer, Andrej
1 Bertot, Yves
1 Bloch, Spencer J.
1 Bordg, Anthony
1 Brown, Ken
1 Brunerie, Guillaume
1 Buchholtz, Ulrik
1 Cohen, Cyril
1 Constable, Robert Lee
1 Coquand, Thierry
1 Cuntz, Joachim
1 Curien, Pierre-Louis
1 Duflot, Jeanne
1 Dybjer, Peter
1 Edelsbrunner, Herbert
1 Finster, Eric
1 Gambino, Nicola
1 Garner, Richard
1 Gonthier, Georges
1 Gray, James A.
1 Green, Philip
1 Hales, Thomas Callister
1 Harper, Robert
1 He, Yang-Hui Evariste
1 Herbelin, Hugo
1 Herzog, Jürgen
1 Hofmann, Martin
1 Hofstra, Pieter J. W.
1 Hötzel Escardó, Martín
1 Hou (Favonia), Kuen-Bang
1 Huber-Klawitter, Annette
1 Jannsen, Uwe
1 Jones, Kevin Charles
1 Joyal, André
1 Kapulkin, Krzysztof
1 Kim, Youngsoo
1 Kock, Joachim
1 Kraus, Nicolai
1 Levine, Marc Noel
1 Li, Nuo
1 Licata, Dan
1 Loday, Jean-Louis
1 Lukas, André
1 Lumsdaine, Peter LeFanu
1 Luo, Zhaohui
1 Mahboubi, Assia
1 Martin-Löf, Per
1 Mazur, Barry
1 Melikhov, Sergey Aleksandrovich
1 Mhoon, Andrea H.
1 Nahas, Michael
1 Palmgren, Erik
1 Pelayo, Alvaro
1 Polonsky, Andrew
1 Quillen, Jean
1 Ramakrishnan, Dinakar
1 Ranicki, Andrew Alexander
1 Riehl, Emily
1 Rijke, Egbert
1 Santhanam, Rekha
1 Scott, Dana Stewart
1 Scott, Philip J.
1 Seceleanu, Alexandra
1 Segal, Graeme B.
1 Sojakova, Kristina
1 Solov’ëv, Sergeĭ Vladimirovich
1 Sozeau, Matthieu
1 Spitters, Bas
1 Sturmfels, Bernd
1 Sullivan, Dennis Parnell
1
1 Tillmann, Ulrike
1 Van den Berg, Benno
1 Vasconcelos, Wolmer V.
1 Voevodskiĭ, Vladimir Aleksandrovich
1 Walker, Barry J.
1 Walker, Mark E.
1 Warren, Michael Alton
1 Zeilberger, Noam

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 429 times in 341 Documents Cited by Year
Homotopy type theory. Univalent foundations of mathematics. Zbl 1298.03002
The Univalent Foundations Program
129
2013
Reduction theory using semistability. Zbl 0564.20027
Grayson, Daniel R.
31
1984
Yukawa couplings in heterotic compactification. Zbl 1203.81130
Anderson, Lara B.; Gray, James; Grayson, Dan; He, Yang-Hui; Lukas, André
30
2010
Edgewise subdivision of a simplex. Zbl 0968.51016
Edelsbrunner, H.; Grayson, D. R.
28
2000
Higher algebraic K-theory: II. Zbl 0362.18015
Grayson, Daniel
27
1976
The loop space of the Q-construction. Zbl 0628.55011
Gillet, Henri; Grayson, Daniel R.
23
1987
Computations in algebraic geometry with Macaulay 2. Zbl 0973.00017
22
2002
The K-theory of endomorphisms. Zbl 0413.18010
Grayson, Daniel R.
21
1977
Products in K-theory and intersecting algebraic cycles. Zbl 0394.14004
Grayson, Daniel R.
20
1978
Exterior power operations on higher K-theory. Zbl 0701.18007
Grayson, Daniel R.
20
1989
Weight filtrations via commuting automorphisms. Zbl 0826.19003
Grayson, Daniel R.
19
1995
Computations of cuspidal cohomology of congruence subgroups of SL(3,\({\mathbb{Z}})\). Zbl 0552.10015
Ash, Avner; Grayson, Daniel; Green, Philip
18
1984
Adams operations on higher \(K\)-theory. Zbl 0776.19001
Grayson, Daniel R.
16
1992
Localization for flat modules in algebraic K-theory. Zbl 0436.18010
Grayson, Daniel R.
15
1979
The K-theory of hereditary categories. Zbl 0372.18004
Grayson, Daniel R.
11
1978
Universal exactness in algebraic K-theory. Zbl 0558.18007
Grayson, Daniel R.
11
1985
\(SK_ 1\) of an interesting principal ideal domain. Zbl 0467.18004
Grayson, Daniel R.
9
1981
Exact sequences in algebraic K-theory. Zbl 0629.18010
Grayson, Daniel R.
9
1987
Projections, cycles, and algebraic \(K\)-theory. Zbl 0358.18012
Grayson, Daniel R.
8
1978
Grothendieck rings and Witt vectors. Zbl 0383.13009
Grayson, Daniel R.
8
1978
Algebraic \(K\)-theory via binary complexes. Zbl 1276.19003
Grayson, Daniel R.
7
2012
\(K_2\) and the \(K\)-theory of automorphisms. Zbl 0413.18011
Grayson, Daniel R.
6
1979
K-theory and localization of noncommutative rings. Zbl 0441.16020
Grayson, Daniel R.
6
1980
The K-theory of semilinear endomorphisms. Zbl 0656.16011
Grayson, Daniel R.
6
1988
\(K_ 2\) and L-functions of elliptic curves. Computer calculations. Zbl 0629.14002
Bloch, S.; Grayson, D.
6
1986
An introduction to univalent foundations for mathematicians. Zbl 1461.03012
Grayson, Daniel R.
5
2018
Geometric models for algebraic \(K\)-theory. Zbl 0977.19002
Grayson, Daniel R.; Walker, Mark E.
5
2000
Finite generation of K-groups of a curve over a finite field. (After Daniel Quillen). Zbl 0502.14004
Grayson, Daniel R.
5
1982
The motivic spectral sequence. Zbl 1100.19002
Grayson, Daniel R.
5
2005
Reduction theory using semistability. II. Zbl 0616.20020
Grayson, Daniel R.
5
1986
Resolutions and cohomology over complete intersections. Zbl 0994.13006
Avramov, Luchezar L.; Grayson, Daniel R.
5
2002
Data types, functions, and programming. Zbl 1001.68202
Grayson, Daniel R.; Stillman, Michael E.
4
2002
Algebraic cycles and algebraic K-theory. Zbl 0436.18009
Grayson, Daniel R.
3
1979
Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman. 3rd printing. Zbl 1095.13034
Vasconcelos, Wolmer V.
3
2004
Coincidence formulas in enumerative geometry. Zbl 0435.14016
Grayson, Daniel R.
2
1979
The arithogeometric mean. Zbl 0686.14040
Grayson, Daniel R.
2
1989
Handbook of \(K\)-theory. Vol. 1 and 2. Zbl 1070.19002
2
2005
Weight filtrations in algebraic \(K\)-theory. Zbl 0803.19001
Grayson, Daniel R.
2
1994
Quillen’s work in algebraic \(K\)-theory. Zbl 1291.19001
Grayson, Daniel R.
1
2013
Dilogarithm computations for \(K_ 3\). Zbl 0509.18017
Grayson, Daniel R.
1
1981
Projective modules equipped with a metric over the rings of integers of number fields. (Modules projectifs munis d’une métrique sur les anneaux d’entiers de corps de nombres.) Zbl 0905.19002
Grayson, Daniel R.
1
1989
The additivity theorem in \(K\)-theory. Zbl 1077.19001
Jones, Kevin Charles; Kim, Youngsoo; Mhoon, Andrea H.; Santhanam, Rekha; Walker, Barry J.; Grayson, Daniel R.
1
2004
The additivity theorem in algebraic \(K\)-theory. Zbl 1225.19004
Grayson, Daniel R.
1
2011
Volumes of symmetric spaces via lattice points. Zbl 1116.11028
Gillet, Henri; Grayson, Daniel R.
1
2006
Preview of Macaulay 2. Zbl 1466.13021
Grayson, Daniel R.
1
1996
An introduction to univalent foundations for mathematicians. Zbl 1461.03012
Grayson, Daniel R.
5
2018
Homotopy type theory. Univalent foundations of mathematics. Zbl 1298.03002
The Univalent Foundations Program
129
2013
Quillen’s work in algebraic \(K\)-theory. Zbl 1291.19001
Grayson, Daniel R.
1
2013
Algebraic \(K\)-theory via binary complexes. Zbl 1276.19003
Grayson, Daniel R.
7
2012
The additivity theorem in algebraic \(K\)-theory. Zbl 1225.19004
Grayson, Daniel R.
1
2011
Yukawa couplings in heterotic compactification. Zbl 1203.81130
Anderson, Lara B.; Gray, James; Grayson, Dan; He, Yang-Hui; Lukas, André
30
2010
Volumes of symmetric spaces via lattice points. Zbl 1116.11028
Gillet, Henri; Grayson, Daniel R.
1
2006
The motivic spectral sequence. Zbl 1100.19002
Grayson, Daniel R.
5
2005
Handbook of \(K\)-theory. Vol. 1 and 2. Zbl 1070.19002
2
2005
Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman. 3rd printing. Zbl 1095.13034
Vasconcelos, Wolmer V.
3
2004
The additivity theorem in \(K\)-theory. Zbl 1077.19001
Jones, Kevin Charles; Kim, Youngsoo; Mhoon, Andrea H.; Santhanam, Rekha; Walker, Barry J.; Grayson, Daniel R.
1
2004
Computations in algebraic geometry with Macaulay 2. Zbl 0973.00017
22
2002
Resolutions and cohomology over complete intersections. Zbl 0994.13006
Avramov, Luchezar L.; Grayson, Daniel R.
5
2002
Data types, functions, and programming. Zbl 1001.68202
Grayson, Daniel R.; Stillman, Michael E.
4
2002
Edgewise subdivision of a simplex. Zbl 0968.51016
Edelsbrunner, H.; Grayson, D. R.
28
2000
Geometric models for algebraic \(K\)-theory. Zbl 0977.19002
Grayson, Daniel R.; Walker, Mark E.
5
2000
Preview of Macaulay 2. Zbl 1466.13021
Grayson, Daniel R.
1
1996
Weight filtrations via commuting automorphisms. Zbl 0826.19003
Grayson, Daniel R.
19
1995
Weight filtrations in algebraic \(K\)-theory. Zbl 0803.19001
Grayson, Daniel R.
2
1994
Adams operations on higher \(K\)-theory. Zbl 0776.19001
Grayson, Daniel R.
16
1992
Exterior power operations on higher K-theory. Zbl 0701.18007
Grayson, Daniel R.
20
1989
The arithogeometric mean. Zbl 0686.14040
Grayson, Daniel R.
2
1989
Projective modules equipped with a metric over the rings of integers of number fields. (Modules projectifs munis d’une métrique sur les anneaux d’entiers de corps de nombres.) Zbl 0905.19002
Grayson, Daniel R.
1
1989
The K-theory of semilinear endomorphisms. Zbl 0656.16011
Grayson, Daniel R.
6
1988
The loop space of the Q-construction. Zbl 0628.55011
Gillet, Henri; Grayson, Daniel R.
23
1987
Exact sequences in algebraic K-theory. Zbl 0629.18010
Grayson, Daniel R.
9
1987
\(K_ 2\) and L-functions of elliptic curves. Computer calculations. Zbl 0629.14002
Bloch, S.; Grayson, D.
6
1986
Reduction theory using semistability. II. Zbl 0616.20020
Grayson, Daniel R.
5
1986
Universal exactness in algebraic K-theory. Zbl 0558.18007
Grayson, Daniel R.
11
1985
Reduction theory using semistability. Zbl 0564.20027
Grayson, Daniel R.
31
1984
Computations of cuspidal cohomology of congruence subgroups of SL(3,\({\mathbb{Z}})\). Zbl 0552.10015
Ash, Avner; Grayson, Daniel; Green, Philip
18
1984
Finite generation of K-groups of a curve over a finite field. (After Daniel Quillen). Zbl 0502.14004
Grayson, Daniel R.
5
1982
\(SK_ 1\) of an interesting principal ideal domain. Zbl 0467.18004
Grayson, Daniel R.
9
1981
Dilogarithm computations for \(K_ 3\). Zbl 0509.18017
Grayson, Daniel R.
1
1981
K-theory and localization of noncommutative rings. Zbl 0441.16020
Grayson, Daniel R.
6
1980
Localization for flat modules in algebraic K-theory. Zbl 0436.18010
Grayson, Daniel R.
15
1979
\(K_2\) and the \(K\)-theory of automorphisms. Zbl 0413.18011
Grayson, Daniel R.
6
1979
Algebraic cycles and algebraic K-theory. Zbl 0436.18009
Grayson, Daniel R.
3
1979
Coincidence formulas in enumerative geometry. Zbl 0435.14016
Grayson, Daniel R.
2
1979
Products in K-theory and intersecting algebraic cycles. Zbl 0394.14004
Grayson, Daniel R.
20
1978
The K-theory of hereditary categories. Zbl 0372.18004
Grayson, Daniel R.
11
1978
Projections, cycles, and algebraic \(K\)-theory. Zbl 0358.18012
Grayson, Daniel R.
8
1978
Grothendieck rings and Witt vectors. Zbl 0383.13009
Grayson, Daniel R.
8
1978
The K-theory of endomorphisms. Zbl 0413.18010
Grayson, Daniel R.
21
1977
Higher algebraic K-theory: II. Zbl 0362.18015
Grayson, Daniel
27
1976
all top 5

Cited by 412 Authors

15 Grayson, Daniel Richard
12 Anderson, Lara B.
11 Gray, James A.
10 Lukas, André
9 Gillet, Henri A.
8 Ash, Avner
7 Sherman, Clayton C.
6 Garkusha, Grigory
6 Ovrut, Burt A.
6 Walker, Mark E.
5 Bost, Jean-Benoît
5 Gunnells, Paul E.
5 Köck, Bernhard
4 He, Yang-Hui Evariste
4 Levine, Marc Noel
4 McConnell, Mark
4 Soulé, Christophe
4 Suslin, Andreĭ Aleksandrovich
4 Welker, Volkmar
4 Yao, Dongyuan
4 Yasaki, Dan
3 Ahn, Jeaman
3 Blesneag, Stefan
3 Buchbinder, Evgeny I.
3 Chen, Huayi
3 Feliu, Elisenda
3 Friedlander, Eric Mark
3 Gunnarsson, Thomas E. W.
3 Kahn, Bruno
3 Lück, Wolfgang
3 Manin, Fedor
3 Neeman, Amnon
3 Panin, Ivan A.
3 Saito, Shuji
3 Top, Jaap
3 Van der Kallen, Wilberd
3 van Geemen, Bert
3 Vavilov, Nikolaĭ Aleksandrovich
3 Weinberger, Shmuel
2 Almkvist, Gert
2 Àlvarez Montaner, Josep
2 Athanasiadis, Christos A.
2 Bartels, Arthur C.
2 Braun, Volker
2 Bräunling, Oliver
2 Campbell, Jonathan Alfred
2 Chambers, Gregory R.
2 Constantin, Andrei
2 Curio, Gottfried
2 Geisser, Thomas H.
2 Harris, Tom
2 Hüttemann, Thomas
2 Kwak, Sijong
2 Lee, Seungjoo
2 Leuzinger, Enrico
2 Liu, Hang
2 Matusevich, Laura Felicia
2 McCarthy, Randy
2 Myung, Sung
2 Nazir, Shaheen
2 Nenashev, Alexander
2 Palti, Eran
2 Pollitz, Josh
2 Ranicki, Andrew Alexander
2 Reich, Holger
2 Rüping, Henrik
2 Schwänzl, Roland
2 Sheiham, Desmond
2 Solus, Liam T.
2 Srinivas, Vasudevan
2 Staffeldt, Ross E.
2 Stepanov, Alexeĭ Vladimirovich
2 Suwa, Noriyuki
2 Swan, Richard Gordon
2 Tabuada, Gonçalo
2 Todorov, Todor Dimitrov
2 Weibel, Charles A.
2 Zakharevich, Inna
1 Abels, Herbert
1 Allison, Gerald
1 Aluffi, Paolo
1 Anan’evskii, A. S.
1 André, Yves
1 Andreatta, Fabrizio
1 Angeniol, Bernard
1 Angleitner, Niklas
1 Antieau, Ben
1 Apruzzi, Fabio
1 Ashmore, Anthony
1 Aspinwall, Paul S.
1 Ballico, Edoardo
1 Baran Özkan, Esma
1 Barbieri Viale, Luca
1 Beaudry, Agnès
1 Belkale, Prakash
1 Bergner, Julie
1 Berkesch Zamaere, Christine
1 Bermejo, Isabel
1 Berrick, A. Jon
1 Berrone, Lucio R.
...and 312 more Authors
all top 5

Cited in 104 Serials

36 Journal of Pure and Applied Algebra
24 Journal of High Energy Physics
16 Journal of Algebra
13 Duke Mathematical Journal
13 \(K\)-Theory
11 Compositio Mathematica
11 Inventiones Mathematicae
10 Advances in Mathematics
8 Journal of Number Theory
7 Mathematische Annalen
7 Transactions of the American Mathematical Society
6 Communications in Algebra
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Experimental Mathematics
5 Journal of Homotopy and Related Structures
5 Journal of \(K\)-Theory
4 Israel Journal of Mathematics
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Zeitschrift
4 Proceedings of the American Mathematical Society
4 Journal of the American Mathematical Society
4 Bulletin of the American Mathematical Society. New Series
4 Documenta Mathematica
4 Annals of \(K\)-Theory
3 Nuclear Physics. B
3 Annales de l’Institut Fourier
3 Publications Mathématiques
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Journal of Mathematical Sciences (New York)
3 Selecta Mathematica. New Series
3 Algebraic & Geometric Topology
3 Journal of Algebra and its Applications
2 Computers & Mathematics with Applications
2 Journal of Combinatorial Theory. Series A
2 Journal of Soviet Mathematics
2 Synthese
2 Advances in Applied Mathematics
2 Journal of Symbolic Computation
2 Journal of Algebraic Combinatorics
2 Geometry & Topology
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Number Theory
2 Journal of Topology
1 International Journal of Modern Physics A
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Mathematical Notes
1 Psychometrika
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 Journal of Geometry and Physics
1 Fortschritte der Physik
1 Annals of the Institute of Statistical Mathematics
1 Automatica
1 BIT
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Journal of the Korean Mathematical Society
1 Journal of Optimization Theory and Applications
1 Manuscripta Mathematica
1 Numerische Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Programming and Computer Software
1 Tôhoku Mathematical Journal. Second Series
1 Topology and its Applications
1 Systems & Control Letters
1 Applied Numerical Mathematics
1 Computational Mechanics
1 SIAM Journal on Discrete Mathematics
1 Differential Geometry and its Applications
1 Geometric and Functional Analysis. GAFA
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Algebraic Geometry
1 The Journal of Analysis
1 Journal de Théorie des Nombres de Bordeaux
1 Turkish Journal of Mathematics
1 Finite Fields and their Applications
1 Bulletin des Sciences Mathématiques
1 Opuscula Mathematica
1 Doklady Mathematics
1 The Ramanujan Journal
1 Advances in Theoretical and Mathematical Physics
1 Annals of Combinatorics
1 Annales Henri Poincaré
1 La Gaceta de la Real Sociedad Matemática Española
1 Foundations of Computational Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Journal of the Institute of Mathematics of Jussieu
1 Oberwolfach Reports
1 Journal of Physics A: Mathematical and Theoretical
1 Algebra & Number Theory
1 Journal of Topology and Analysis
1 Journal of Commutative Algebra
1 Transactions of the American Mathematical Society. Series B
1 Korean Journal of Mathematics
...and 4 more Serials
all top 5

Cited in 45 Fields

164 Algebraic geometry (14-XX)
109 \(K\)-theory (19-XX)
82 Category theory; homological algebra (18-XX)
62 Number theory (11-XX)
58 Commutative algebra (13-XX)
36 Algebraic topology (55-XX)
32 Quantum theory (81-XX)
23 Group theory and generalizations (20-XX)
21 Associative rings and algebras (16-XX)
16 Combinatorics (05-XX)
14 Manifolds and cell complexes (57-XX)
11 Relativity and gravitational theory (83-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Convex and discrete geometry (52-XX)
10 Differential geometry (53-XX)
9 Computer science (68-XX)
7 Numerical analysis (65-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Topological groups, Lie groups (22-XX)
3 General and overarching topics; collections (00-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Special functions (33-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Operations research, mathematical programming (90-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Partial differential equations (35-XX)
2 Functional analysis (46-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Statistics (62-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 General algebraic systems (08-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Operator theory (47-XX)
1 Mechanics of deformable solids (74-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year