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Mitchell, Stephen Ames

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 Author ID: mitchell.stephen-a Published as: Mitchell, Stephen A.; Mitchell, S. A.; Mitchell, Stephen External Links: MGP
 Documents Indexed: 39 Publications since 1982
all top 5

Co-Authors

 24 single-authored 4 Priddy, Stewart B. 3 Dwyer, William G. 2 Billey, Sara C. 2 Kuhn, Nicholas J. 1 Crabb, Michael C. 1 Friedlander, Eric Mark 1 Gutzwiller, L. 1 Hahn, Rebekah 1 Littig, Peter J. 1 Stong, Robert E.
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Serials

 7 $$K$$-Theory 5 Mathematische Zeitschrift 3 Topology 3 Transactions of the American Mathematical Society 2 American Journal of Mathematics 2 Proceedings of the American Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Pure and Applied Algebra 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Algebraic Combinatorics 1 The Electronic Journal of Combinatorics 1 Transformation Groups
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Fields

 33 Algebraic topology (55-XX) 15 $$K$$-theory (19-XX) 8 Category theory; homological algebra (18-XX) 7 Number theory (11-XX) 7 Algebraic geometry (14-XX) 7 Group theory and generalizations (20-XX) 7 Manifolds and cell complexes (57-XX) 2 Combinatorics (05-XX)

Citations contained in zbMATH Open

30 Publications have been cited 235 times in 183 Documents Cited by Year
Stable splittings derived from the Steinberg module. Zbl 0526.55010
Mitchell, Stephen A.; Priddy, Stewart B.
1983
Finite complexes with A(n)-free cohomology. Zbl 0568.55021
Mitchell, Stephen A.
1985
Hypercohomology spectra and Thomason’s descent theorem. Zbl 0888.19003
Mitchell, Stephen A.
1997
A filtration of the loops on SU$$(N)$$ by Schubert varieties. Zbl 0613.57025
Mitchell, Stephen A.
1986
Quillen’s theorem on buildings and the loops on a symmetric space. Zbl 0704.55006
Mitchell, Stephen A.
1988
Symmetric product spectra and splittings of classifying spaces. Zbl 0551.55005
Mitchell, Stephen A.; Priddy, Stewart B.
1984
Splitting $$B({\mathbb{Z}}/p)^ n$$ and $$BT^ n$$ via modular representation theory. Zbl 0547.55017
Mitchell, Stephen A.
1985
The multiplicity of the Steinberg representation of $$GL_ nF_ q$$ in the symmetric algebra. Zbl 0595.20040
Kuhn, N. J.; Mitchell, S. A.
1986
On the Lichtenbaum-Quillen conjectures from a stable homotopy-theoretic viewpoint. Zbl 0822.55005
Mitchell, Stephen A.
1994
A proof of the Conner-Floyd conjecture. Zbl 0558.57011
Mitchell, Stephen A.
1984
On the plus construction for $$BGL \mathbb{Z} [{1\over 2}]$$ at the prime 2. Zbl 0773.55006
Mitchell, Stephen A.
1992
Affine partitions and affine Grassmannians. Zbl 1286.05179
Billey, Sara C.; Mitchell, Stephen A.
2009
On the $$K$$-theory spectrum of a ring of algebraic integers. Zbl 0905.19003
Dwyer, W. G.; Mitchell, S. A.
1998
The Morava K-theory of algebraic K-theory spectra. Zbl 0709.55011
Mitchell, S. A.
1990
Smooth and palindromic Schubert varieties in affine Grassmannians. Zbl 1235.14048
Billey, Sara C.; Mitchell, Stephen A.
2010
On the Steinberg module, representations of the symmetric groups, and the Steenrod algebra. Zbl 0593.20006
Mitchell, Stephen
1986
The Bott filtration of a loop group. Zbl 0644.57023
Mitchell, S. A.
1987
The loops on U(n)/O(n) and U(2n)/Sp(n). Zbl 0667.55006
Crabb, M. C.; Mitchell, S. A.
1988
The Whitehead conjecture and splitting $$B(Z/2)^ k$$. Zbl 0502.55011
Kuhn, N. J.; Mitchell, S. A.; Priddy, S. B.
1982
$$K(1)$$-local homotopy theory, Iwasawa theory and algebraic $$K$$-theory. Zbl 1111.19002
Mitchell, Stephen A.
2005
On $$p$$-adic topological $$K$$-theory. Zbl 0957.19004
Mitchell, Stephen A.
1993
The algebraic K-theory spectrum of a 2-adic local field. Zbl 0998.19004
Mitchell, Stephen A.
2002
The generalized Burnside ring and the $$K$$-theory of a ring with roots of unity. Zbl 0780.19001
Dwyer, W. G.; Friedlander, E. M.; Mitchell, S. A.
1992
The topology of Birkhoff varieties. Zbl 1188.14030
Gutzwiller, L.; Mitchell, S. A.
2009
Units and general linear group cohomology for a ring of algebraic integers. Zbl 0907.19003
Mitchell, Stephen A.
1998
Topological $$K$$-theory of algebraic $$K$$-theory spectra. Zbl 0983.19004
Mitchell, Stephen A.
2000
Iwasawa theory for $$K(1)$$-local spectra. Zbl 1125.55002
Hahn, Rebekah; Mitchell, Stephen
2007
$$K$$-theory hypercohomology spectra of number rings at the prime 2. Zbl 0978.19003
Mitchell, Stephen A.
2000
A double coset formula for Levi subgroups and splitting $$BGL_ n$$. Zbl 0673.55018
Mitchell, Stephen A.; Priddy, Stewart B.
1989
Power series methods in unoriented cobordism. Zbl 0523.55010
Mitchell, Stephen A.
1983
Smooth and palindromic Schubert varieties in affine Grassmannians. Zbl 1235.14048
Billey, Sara C.; Mitchell, Stephen A.
2010
Affine partitions and affine Grassmannians. Zbl 1286.05179
Billey, Sara C.; Mitchell, Stephen A.
2009
The topology of Birkhoff varieties. Zbl 1188.14030
Gutzwiller, L.; Mitchell, S. A.
2009
Iwasawa theory for $$K(1)$$-local spectra. Zbl 1125.55002
Hahn, Rebekah; Mitchell, Stephen
2007
$$K(1)$$-local homotopy theory, Iwasawa theory and algebraic $$K$$-theory. Zbl 1111.19002
Mitchell, Stephen A.
2005
The algebraic K-theory spectrum of a 2-adic local field. Zbl 0998.19004
Mitchell, Stephen A.
2002
Topological $$K$$-theory of algebraic $$K$$-theory spectra. Zbl 0983.19004
Mitchell, Stephen A.
2000
$$K$$-theory hypercohomology spectra of number rings at the prime 2. Zbl 0978.19003
Mitchell, Stephen A.
2000
On the $$K$$-theory spectrum of a ring of algebraic integers. Zbl 0905.19003
Dwyer, W. G.; Mitchell, S. A.
1998
Units and general linear group cohomology for a ring of algebraic integers. Zbl 0907.19003
Mitchell, Stephen A.
1998
Hypercohomology spectra and Thomason’s descent theorem. Zbl 0888.19003
Mitchell, Stephen A.
1997
On the Lichtenbaum-Quillen conjectures from a stable homotopy-theoretic viewpoint. Zbl 0822.55005
Mitchell, Stephen A.
1994
On $$p$$-adic topological $$K$$-theory. Zbl 0957.19004
Mitchell, Stephen A.
1993
On the plus construction for $$BGL \mathbb{Z} [{1\over 2}]$$ at the prime 2. Zbl 0773.55006
Mitchell, Stephen A.
1992
The generalized Burnside ring and the $$K$$-theory of a ring with roots of unity. Zbl 0780.19001
Dwyer, W. G.; Friedlander, E. M.; Mitchell, S. A.
1992
The Morava K-theory of algebraic K-theory spectra. Zbl 0709.55011
Mitchell, S. A.
1990
A double coset formula for Levi subgroups and splitting $$BGL_ n$$. Zbl 0673.55018
Mitchell, Stephen A.; Priddy, Stewart B.
1989
Quillen’s theorem on buildings and the loops on a symmetric space. Zbl 0704.55006
Mitchell, Stephen A.
1988
The loops on U(n)/O(n) and U(2n)/Sp(n). Zbl 0667.55006
Crabb, M. C.; Mitchell, S. A.
1988
The Bott filtration of a loop group. Zbl 0644.57023
Mitchell, S. A.
1987
A filtration of the loops on SU$$(N)$$ by Schubert varieties. Zbl 0613.57025
Mitchell, Stephen A.
1986
The multiplicity of the Steinberg representation of $$GL_ nF_ q$$ in the symmetric algebra. Zbl 0595.20040
Kuhn, N. J.; Mitchell, S. A.
1986
On the Steinberg module, representations of the symmetric groups, and the Steenrod algebra. Zbl 0593.20006
Mitchell, Stephen
1986
Finite complexes with A(n)-free cohomology. Zbl 0568.55021
Mitchell, Stephen A.
1985
Splitting $$B({\mathbb{Z}}/p)^ n$$ and $$BT^ n$$ via modular representation theory. Zbl 0547.55017
Mitchell, Stephen A.
1985
Symmetric product spectra and splittings of classifying spaces. Zbl 0551.55005
Mitchell, Stephen A.; Priddy, Stewart B.
1984
A proof of the Conner-Floyd conjecture. Zbl 0558.57011
Mitchell, Stephen A.
1984
Stable splittings derived from the Steinberg module. Zbl 0526.55010
Mitchell, Stephen A.; Priddy, Stewart B.
1983
Power series methods in unoriented cobordism. Zbl 0523.55010
Mitchell, Stephen A.
1983
The Whitehead conjecture and splitting $$B(Z/2)^ k$$. Zbl 0502.55011
Kuhn, N. J.; Mitchell, S. A.; Priddy, S. B.
1982
all top 5

Cited by 207 Authors

 13 Mitchell, Stephen Ames 9 Kuhn, Nicholas J. 8 Schwartz, Lionel 5 Priddy, Stewart B. 4 Behrens, Mark Joseph 4 Davis, Daniel G. 4 Østvær, Paul Arne 4 Walker, Grant 3 Anton, Marian Florin 3 Barthel, Tobias 3 Berrick, A. Jon 3 Carlisle, David P. 3 Clausen, Dustin 3 Hanke, Bernhard 3 Harada, Megumi 3 Henn, Hans-Werner 3 Jeffrey, Lisa C. 3 Lê Minh Hà 3 Mare, Augustin-Liviu 3 Martino, John R. 3 Mathew, Akhil 3 Quast, Peter 3 Ray, Nigel 3 Rognes, John 3 Wilson, W. Stephen 2 Arone, Gregory Z. 2 Billey, Sara C. 2 Blumberg, Andrew J. 2 Cho’n, Phan Hoàng 2 Dietz, Jill 2 Dwyer, William G. 2 Eschenburg, Jost-Hinrich 2 Graham, William A. 2 Hai, Nguyen Dang Ho 2 Hausmann, Markus 2 Ho, Hai Nguyen Dang 2 Holm, Tara S. 2 Karoubi, Max 2 Lam, Thomas F. 2 Li, Wenjing 2 Mandell, Michael A. 2 Naumann, Niko 2 Noel, Justin 2 Palmieri, John H. 2 Powell, Geoffrey M. L. 2 Richmond, Edward 2 Rodríguez González, Beatriz 2 Roig, Agustí 2 Rosenschon, Andreas 2 Sadofsky, Hal 2 Slofstra, William 2 Stapleton, Nathaniel 2 Strickland, Neil Patrick 2 Wan, Jinkui 2 Wang, Weiqiang 2 Wood, Reginald M. W. 2 Yagita, Nobuaki 2 Yan, Dung Yung 1 Aguadé, Jaume 1 Aoki, Miho 1 Ausoni, Christian 1 Bahri, Anthony P. 1 Bajer, Anetta M. 1 Baker, Andrew J. 1 Balmer, Paul 1 Beazley, Elizabeth T. 1 Bendersky, Martin 1 Benson, David John 1 Bhatt, Bhargav 1 Bhattacharya, Prasit 1 Bobkova, Irina 1 Boote, Yumi 1 Bousfield, A. K. 1 Bressler, Paul 1 Brunetti, Maurizio 1 Carbone, Lisa J. 1 Carrell, James B. 1 Catalano, Michael 1 Chen, Yin 1 Chu, Chenghao 1 Cohen, Frederick Ronald 1 Collinet, Gaël 1 Crabb, Michael C. 1 Crites, Andrew 1 Davis, Donald M. 1 Djament, Aurélien 1 Doty, Stephen R. 1 Eccles, Peter John 1 Egger, Philip 1 Evens, Sam 1 Feingold, Alex Jay 1 Foley, John David 1 Franjou, Vincent 1 Freyn, Walter 1 Friedlander, Eric Mark 1 Gálvez, Imma 1 Garkusha, Grigory 1 Gekeler, Ernst-Ulrich 1 Ghazel, Moncef 1 Gilkey, Peter B. ...and 107 more Authors
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Cited in 60 Serials

 14 Journal of Pure and Applied Algebra 14 Transactions of the American Mathematical Society 12 Journal of Algebra 10 Mathematische Zeitschrift 9 Advances in Mathematics 8 Mathematical Proceedings of the Cambridge Philosophical Society 7 Proceedings of the American Mathematical Society 7 Algebraic & Geometric Topology 6 Inventiones Mathematicae 6 Journal of Algebraic Combinatorics 5 Mathematische Annalen 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Topology and its Applications 4 $$K$$-Theory 4 Geometry & Topology 3 Annales de l’Institut Fourier 3 Proceedings of the Japan Academy. Series A 3 Journal of the American Mathematical Society 3 Bulletin of the American Mathematical Society. New Series 3 Transformation Groups 2 Communications in Algebra 2 Rocky Mountain Journal of Mathematics 2 Collectanea Mathematica 2 Glasgow Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Selecta Mathematica. New Series 2 Journal of Topology 2 Journal of $$K$$-Theory 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 European Journal of Combinatorics 1 Forum Mathematicum 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Finite Fields and their Applications 1 The New York Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Nonlinear Mathematical Physics 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Homotopy and Related Structures 1 São Paulo Journal of Mathematical Sciences 1 European Journal of Mathematics 1 Tunisian Journal of Mathematics
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Cited in 20 Fields

 118 Algebraic topology (55-XX) 42 Group theory and generalizations (20-XX) 31 $$K$$-theory (19-XX) 29 Algebraic geometry (14-XX) 24 Category theory; homological algebra (18-XX) 17 Manifolds and cell complexes (57-XX) 14 Differential geometry (53-XX) 10 Combinatorics (05-XX) 10 Number theory (11-XX) 9 Topological groups, Lie groups (22-XX) 7 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geometry (51-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Nonassociative rings and algebras (17-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Functional analysis (46-XX)