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## Grayson, Daniel Richard

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 Author ID: grayson.daniel-r Published as: Grayson, D.; Grayson, D. R.; Grayson, Dan; Grayson, Daniel; Grayson, Daniel R. Homepage: https://faculty.math.illinois.edu/~dan/ External Links: ORCID · dblp · arXiv Member of Collective: the-univalent-foundations-program.
 Documents Indexed: 49 Publications since 1976, including 2 Books
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#### Co-Authors

 33 single-authored 2 Friedlander, Eric Mark 2 Gillet, Henri A. 2 Glazebrook, James F. 2 Hewitt, P. R. 2 Stillman, Michael Eugene 1 Anderson, Lara B. 1 Ash, Avner 1 Atiyah, Michael Francis 1 Avramov, Luchezar L. 1 Bass, Hyman 1 Bloch, Spencer J. 1 Brown, Ken 1 Cuntz, Joachim 1 Duflot, Jeanne 1 Edelsbrunner, Herbert 1 Eisenbud, David 1 Gray, James A. 1 Green, Philip 1 He, Yang-Hui Evariste 1 Huber-Klawitter, Annette 1 Jannsen, Uwe 1 Jones, Kevin Charles 1 Kim, Youngsoo 1 Levine, Marc Noel 1 Loday, Jean-Louis 1 Lukas, André 1 Mazur, Barry 1 Mhoon, Andrea H. 1 Quillen, Jean 1 Ranicki, Andrew A. 1 Santhanam, Rekha 1 Segal, Graeme B. 1 Sturmfels, Bernd 1 Sullivan, Dennis Parnell 1 Tillmann, Ulrike 1 Walker, Barry J. 1 Walker, Mark E.
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#### Serials

 5 Journal of Algebra 5 $$K$$-Theory 4 Communications in Algebra 4 Journal of Pure and Applied Algebra 2 Commentarii Mathematici Helvetici 2 Illinois Journal of Mathematics 2 Documenta Mathematica 1 Communications in Mathematical Physics 1 Archiv der Mathematik 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Mathematische Annalen 1 Discrete & Computational Geometry 1 Journal of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 The Bulletin of Symbolic Logic 1 Oberwolfach Reports 1 Algorithms and Computation in Mathematics 1 Journal of $$K$$-Theory
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#### Fields

 19 Category theory; homological algebra (18-XX) 18 Algebraic geometry (14-XX) 15 $$K$$-theory (19-XX) 10 Commutative algebra (13-XX) 8 Number theory (11-XX) 6 Associative rings and algebras (16-XX) 5 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

40 Publications have been cited 376 times in 292 Documents Cited by Year
Reduction theory using semistability. Zbl 0564.20027
Grayson, Daniel R.
1984
Higher algebraic K-theory: II. Zbl 0362.18015
Grayson, Daniel
1976
Yukawa couplings in heterotic compactification. Zbl 1203.81130
Anderson, Lara B.; Gray, James; Grayson, Dan; He, Yang-Hui; Lukas, André
2010
Edgewise subdivision of a simplex. Zbl 0968.51016
Edelsbrunner, H.; Grayson, D. R.
2000
The loop space of the Q-construction. Zbl 0628.55011
Gillet, Henri; Grayson, Daniel R.
1987
Products in K-theory and intersecting algebraic cycles. Zbl 0394.14004
Grayson, Daniel R.
1978
The K-theory of endomorphisms. Zbl 0413.18010
Grayson, Daniel R.
1977
Exterior power operations on higher K-theory. Zbl 0701.18007
Grayson, Daniel R.
1989
Weight filtrations via commuting automorphisms. Zbl 0826.19003
Grayson, Daniel R.
1995
Adams operations on higher $$K$$-theory. Zbl 0776.19001
Grayson, Daniel R.
1992
Computations of cuspidal cohomology of congruence subgroups of SL(3,$${\mathbb{Z}})$$. Zbl 0552.10015
Ash, Avner; Grayson, Daniel; Green, Philip
1984
Localization for flat modules in algebraic K-theory. Zbl 0436.18010
Grayson, Daniel R.
1979
Computations in algebraic geometry with Macaulay 2. Zbl 0973.00017
Eisenbud, David (ed.); Grayson, Daniel R. (ed.); Stillman, Michael (ed.); Sturmfels, Bernd (ed.)
2002
The K-theory of hereditary categories. Zbl 0372.18004
Grayson, Daniel R.
1978
Universal exactness in algebraic K-theory. Zbl 0558.18007
Grayson, Daniel R.
1985
Exact sequences in algebraic K-theory. Zbl 0629.18010
Grayson, Daniel R.
1987
$$SK_ 1$$ of an interesting principal ideal domain. Zbl 0467.18004
Grayson, Daniel R.
1981
Projections, cycles, and algebraic $$K$$-theory. Zbl 0358.18012
Grayson, Daniel R.
1978
Grothendieck rings and Witt vectors. Zbl 0383.13009
Grayson, Daniel R.
1978
K-theory and localization of noncommutative rings. Zbl 0441.16020
Grayson, Daniel R.
1980
$$K_2$$ and the $$K$$-theory of automorphisms. Zbl 0413.18011
Grayson, Daniel R.
1979
The motivic spectral sequence. Zbl 1100.19002
Grayson, Daniel R.
2005
Geometric models for algebraic $$K$$-theory. Zbl 0977.19002
Grayson, Daniel R.; Walker, Mark E.
2000
Reduction theory using semistability. II. Zbl 0616.20020
Grayson, Daniel R.
1986
Finite generation of K-groups of a curve over a finite field. (After Daniel Quillen). Zbl 0502.14004
Grayson, Daniel R.
1982
Algebraic $$K$$-theory via binary complexes. Zbl 1276.19003
Grayson, Daniel R.
2012
Resolutions and cohomology over complete intersections. Zbl 0994.13006
Avramov, Luchezar L.; Grayson, Daniel R.
2002
The K-theory of semilinear endomorphisms. Zbl 0656.16011
Grayson, Daniel R.
1988
$$K_ 2$$ and L-functions of elliptic curves. Computer calculations. Zbl 0629.14002
Bloch, S.; Grayson, D.
1986
Data types, functions, and programming. Zbl 1001.68202
Grayson, Daniel R.; Stillman, Michael E.
2002
On the K-theory of fields. Zbl 0705.19004
Grayson, Daniel R.
1989
Algebraic cycles and algebraic K-theory. Zbl 0436.18009
Grayson, Daniel R.
1979
Weight filtrations in algebraic $$K$$-theory. Zbl 0803.19001
Grayson, Daniel R.
1994
The arithogeometric mean. Zbl 0686.14040
Grayson, Daniel R.
1989
The additivity theorem in algebraic $$K$$-theory. Zbl 1225.19004
Grayson, Daniel R.
2011
Volumes of symmetric spaces via lattice points. Zbl 1116.11028
Gillet, Henri; Grayson, Daniel R.
2006
Handbook of $$K$$-theory. Vol. 1 and 2. Zbl 1070.19002
Friedlander, Eric M. (ed.); Grayson, Daniel R. (ed.)
2005
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.
2004
Dilogarithm computations for $$K_ 3$$. Zbl 0509.18017
Grayson, Daniel R.
1981
Coincidence formulas in enumerative geometry. Zbl 0435.14016
Grayson, Daniel R.
1979
Algebraic $$K$$-theory via binary complexes. Zbl 1276.19003
Grayson, Daniel R.
2012
The additivity theorem in algebraic $$K$$-theory. Zbl 1225.19004
Grayson, Daniel R.
2011
Yukawa couplings in heterotic compactification. Zbl 1203.81130
Anderson, Lara B.; Gray, James; Grayson, Dan; He, Yang-Hui; Lukas, André
2010
Volumes of symmetric spaces via lattice points. Zbl 1116.11028
Gillet, Henri; Grayson, Daniel R.
2006
The motivic spectral sequence. Zbl 1100.19002
Grayson, Daniel R.
2005
Handbook of $$K$$-theory. Vol. 1 and 2. Zbl 1070.19002
Friedlander, Eric M. (ed.); Grayson, Daniel R. (ed.)
2005
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.
2004
Computations in algebraic geometry with Macaulay 2. Zbl 0973.00017
Eisenbud, David (ed.); Grayson, Daniel R. (ed.); Stillman, Michael (ed.); Sturmfels, Bernd (ed.)
2002
Resolutions and cohomology over complete intersections. Zbl 0994.13006
Avramov, Luchezar L.; Grayson, Daniel R.
2002
Data types, functions, and programming. Zbl 1001.68202
Grayson, Daniel R.; Stillman, Michael E.
2002
Edgewise subdivision of a simplex. Zbl 0968.51016
Edelsbrunner, H.; Grayson, D. R.
2000
Geometric models for algebraic $$K$$-theory. Zbl 0977.19002
Grayson, Daniel R.; Walker, Mark E.
2000
Weight filtrations via commuting automorphisms. Zbl 0826.19003
Grayson, Daniel R.
1995
Weight filtrations in algebraic $$K$$-theory. Zbl 0803.19001
Grayson, Daniel R.
1994
Adams operations on higher $$K$$-theory. Zbl 0776.19001
Grayson, Daniel R.
1992
Exterior power operations on higher K-theory. Zbl 0701.18007
Grayson, Daniel R.
1989
On the K-theory of fields. Zbl 0705.19004
Grayson, Daniel R.
1989
The arithogeometric mean. Zbl 0686.14040
Grayson, Daniel R.
1989
The K-theory of semilinear endomorphisms. Zbl 0656.16011
Grayson, Daniel R.
1988
The loop space of the Q-construction. Zbl 0628.55011
Gillet, Henri; Grayson, Daniel R.
1987
Exact sequences in algebraic K-theory. Zbl 0629.18010
Grayson, Daniel R.
1987
Reduction theory using semistability. II. Zbl 0616.20020
Grayson, Daniel R.
1986
$$K_ 2$$ and L-functions of elliptic curves. Computer calculations. Zbl 0629.14002
Bloch, S.; Grayson, D.
1986
Universal exactness in algebraic K-theory. Zbl 0558.18007
Grayson, Daniel R.
1985
Reduction theory using semistability. Zbl 0564.20027
Grayson, Daniel R.
1984
Computations of cuspidal cohomology of congruence subgroups of SL(3,$${\mathbb{Z}})$$. Zbl 0552.10015
Ash, Avner; Grayson, Daniel; Green, Philip
1984
Finite generation of K-groups of a curve over a finite field. (After Daniel Quillen). Zbl 0502.14004
Grayson, Daniel R.
1982
$$SK_ 1$$ of an interesting principal ideal domain. Zbl 0467.18004
Grayson, Daniel R.
1981
Dilogarithm computations for $$K_ 3$$. Zbl 0509.18017
Grayson, Daniel R.
1981
K-theory and localization of noncommutative rings. Zbl 0441.16020
Grayson, Daniel R.
1980
Localization for flat modules in algebraic K-theory. Zbl 0436.18010
Grayson, Daniel R.
1979
$$K_2$$ and the $$K$$-theory of automorphisms. Zbl 0413.18011
Grayson, Daniel R.
1979
Algebraic cycles and algebraic K-theory. Zbl 0436.18009
Grayson, Daniel R.
1979
Coincidence formulas in enumerative geometry. Zbl 0435.14016
Grayson, Daniel R.
1979
Products in K-theory and intersecting algebraic cycles. Zbl 0394.14004
Grayson, Daniel R.
1978
The K-theory of hereditary categories. Zbl 0372.18004
Grayson, Daniel R.
1978
Projections, cycles, and algebraic $$K$$-theory. Zbl 0358.18012
Grayson, Daniel R.
1978
Grothendieck rings and Witt vectors. Zbl 0383.13009
Grayson, Daniel R.
1978
The K-theory of endomorphisms. Zbl 0413.18010
Grayson, Daniel R.
1977
Higher algebraic K-theory: II. Zbl 0362.18015
Grayson, Daniel
1976
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#### Cited by 334 Authors

 16 Grayson, Daniel Richard 10 Anderson, Lara B. 10 Lukas, André 9 Gillet, Henri A. 8 Gray, James A. 7 Ash, Avner 7 Sherman, Clayton C. 5 Köck, Bernhard 5 Ovrut, Burt A. 5 Walker, Mark E. 4 Bost, Jean-Benoît 4 Garkusha, Grigory 4 He, Yang-Hui Evariste 4 Levine, Marc Noel 4 Soulé, Christophe 4 Suslin, Andreĭ Aleksandrovich 4 Yao, Dongyuan 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 McConnell, Mark 3 Neeman, Amnon 3 Saito, Shuji 3 Top, Jaap 3 Van der Kallen, Wilberd 3 van Geemen, Bert 3 Vavilov, Nikolaĭ Aleksandrovich 3 Weibel, Charles A. 3 Weinberger, Shmuel 3 Welker, Volkmar 2 Almkvist, Gert 2 Aspinwall, Paul S. 2 Athanasiadis, Christos A. 2 Bartels, Arthur C. 2 Braun, Volker 2 Campbell, Jonathan Alfred 2 Chambers, Gregory R. 2 Constantin, Andrei 2 Curio, Gottfried 2 Gunnells, Paul E. 2 Harris, Tom 2 Karcanias, Nicos 2 Kuku, Aderemi O. 2 Kwak, Sijong 2 Lee, Seungjoo 2 Leuzinger, Enrico 2 Leventides, John 2 McCarthy, Randy 2 Myung, Sung 2 Nenashev, Alexander 2 Palti, Eran 2 Panin, Ivan A. 2 Petroulakis, George 2 Ranicki, Andrew A. 2 Reich, Holger 2 Rüping, Henrik 2 Schwänzl, Roland 2 Sheiham, Desmond 2 Srinivas, Vasudevan 2 Staffeldt, Ross E. 2 Stepanov, Alexeĭ Vladimirovich 2 Suwa, Noriyuki 2 Tabuada, Gonçalo 2 Todorov, Todor Dimitrov 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 Apruzzi, Fabio 1 Ballico, Edoardo 1 Barbieri Viale, Luca 1 Belkale, Prakash 1 Bergner, Julie 1 Berkesch Zamaere, Christine 1 Bermejo, Isabel 1 Berrick, A. Jon 1 Berson, Joost 1 Bertapelle, Alessandra 1 Bertin, Marie-Jose 1 Betley, Stanislaw 1 Blumberg, Andrew J. 1 Bökstedt, Marcel 1 Borek, Thomas 1 Boyle, Mike 1 Brady, Zarathustra 1 Bräunling, Oliver 1 Brenti, Francesco 1 Brosnan, Patrick 1 Brumer, Armand ...and 234 more Authors
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#### Cited in 86 Serials

 37 Journal of Pure and Applied Algebra 21 Journal of High Energy Physics 18 Journal of Algebra 13 Duke Mathematical Journal 13 $$K$$-Theory 11 Advances in Mathematics 11 Inventiones Mathematicae 10 Compositio Mathematica 7 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 5 Journal of $$K$$-Theory 4 Proceedings of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Experimental Mathematics 4 Journal of Homotopy and Related Structures 3 Israel Journal of Mathematics 3 Nuclear Physics. B 3 Publications Mathématiques 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Journal of the American Mathematical Society 3 Journal of Mathematical Sciences (New York) 3 Selecta Mathematica. New Series 3 Algebraic & Geometric Topology 3 Annals of $$K$$-Theory 2 Annales de l’Institut Fourier 2 Journal für die Reine und Angewandte Mathematik 2 Journal of Soviet Mathematics 2 Advances in Applied Mathematics 2 Linear Algebra and its Applications 2 Documenta Mathematica 2 Geometry & Topology 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Modern Physics A 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Psychometrika 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Fortschritte der Physik 1 Annals of the Institute of Statistical Mathematics 1 BIT 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Journal of Combinatorial Theory. Series A 1 Journal of Optimization Theory and Applications 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 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 Tohoku Mathematical Journal. Second Series 1 Systems & Control Letters 1 Applied Numerical Mathematics 1 Journal of Symbolic Computation 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 Combinatorics 1 Journal of Algebraic Geometry 1 Journal de Théorie des Nombres de Bordeaux 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Doklady Mathematics 1 The Ramanujan Journal 1 Advances in Theoretical and Mathematical Physics 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Foundations of Computational Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 International Journal of Number Theory 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Topology 1 Journal of Commutative Algebra 1 Transactions of the American Mathematical Society. Series B 1 Bollettino dell’Unione Matematica Italiana 1 Bulletin of the Hellenic Mathematical Society 1 Journal of Applied and Computational Topology
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#### Cited in 40 Fields

 139 Algebraic geometry (14-XX) 95 $$K$$-theory (19-XX) 76 Category theory; homological algebra (18-XX) 51 Number theory (11-XX) 44 Commutative algebra (13-XX) 30 Algebraic topology (55-XX) 29 Quantum theory (81-XX) 19 Group theory and generalizations (20-XX) 17 Associative rings and algebras (16-XX) 14 Manifolds and cell complexes (57-XX) 11 Combinatorics (05-XX) 9 Differential geometry (53-XX) 9 Relativity and gravitational theory (83-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Computer science (68-XX) 6 Convex and discrete geometry (52-XX) 6 Numerical analysis (65-XX) 5 Topological groups, Lie groups (22-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)