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## Baker, Andrew J.

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 Author ID: baker.andrew-j Published as: Baker, Andrew; Baker, A.; Baker, Andrew J.; Baker, A. J. Homepage: http://www.maths.gla.ac.uk/~ajb/ External Links: MGP
 Documents Indexed: 62 Publications since 1982, including 4 Books Reviewing Activity: 58 Reviews
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#### Co-Authors

 34 single-authored 12 Richter, Birgit 4 Ray, Nigel 2 Lazarev, Andrey 2 Würgler, Urs 1 Bauer, Tilman 1 Carlisle, David P. 1 Clarke, Francis Willoughby 1 Gilmour, Helen 1 Gray, Brayton 1 Hilditch, S. 1 Hunton, John Robert 1 Jeanneret, Alain 1 May, Jon Peter 1 Ozel, Cenap 1 Plymen, Roger J. 1 Reinhard, Philipp 1 Schwartz, Lionel 1 Schwarz, Leroy B. 1 Szymik, Markus 1 Tamanoi, Hirotaka 1 Wood, Reginald M. W.
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#### Serials

 4 Homology, Homotopy and Applications 3 Canadian Mathematical Bulletin 3 Mathematica Scandinavica 3 Algebraic & Geometric Topology 2 Journal of the London Mathematical Society. Second Series 2 Journal of Pure and Applied Algebra 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 The New York Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 American Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Manuscripta Mathematica 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Topology 1 Forum Mathematicum 1 Linear Algebra and its Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Documenta Mathematica 1 Central European Journal of Mathematics 1 London Mathematical Society Lecture Note Series 1 Geometry and Topology Monographs 1 Journal of Homotopy and Related Structures 1 Tbilisi Mathematical Journal 1 Springer Undergraduate Mathematics Series
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#### Fields

 56 Algebraic topology (55-XX) 10 Number theory (11-XX) 9 Manifolds and cell complexes (57-XX) 5 Commutative algebra (13-XX) 5 Algebraic geometry (14-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 3 Category theory; homological algebra (18-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 $$K$$-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

46 Publications have been cited 254 times in 177 Documents Cited by Year
Right eigenvalues for quaternionic matrices: A topological approach. Zbl 0941.15013
Baker, Andrew
1999
Matrix groups. An introduction to Lie group theory. Zbl 1009.22001
Baker, Andrew
2002
Quasisymmetric functions from a topological point of view. Zbl 1169.05049
Baker, Andrew; Richter, Birgit
2008
On the Adams spectral sequence for $$R$$-modules. Zbl 0970.55006
Baker, Andrew; Lazarev, Andrej
2001
Realizability of algebraic Galois extensions by strictly commutative ring spectra. Zbl 1111.55009
Baker, Andrew; Richter, Birgit
2007
On the $$\Gamma$$-cohomology of rings of numerical polynomials and $$E_\infty$$ structures on $$K$$-theory. Zbl 1094.55010
Baker, Andrew; Richter, Birgit
2005
On the Kummer congruences and the stable homotopy of BU. Zbl 0709.55012
Baker, Andrew; Clarke, Francis; Ray, Nigel; Schwartz, Lionel
1989
Brave new Hopf algebroids and extensions of $$MU$$-algebras. Zbl 1380.55009
Baker, Andrew; Jeanneret, Alain
2002
Invertible modules for commutative $$\mathbb S$$-algebras with residue fields. Zbl 1092.55007
Baker, Andrew; Richter, Birgit
2005
Galois extensions of Lubin-Tate spectra. Zbl 1175.55007
Baker, Andrew; Richter, Birgit
2008
Minimal atomic complexes. Zbl 1055.55007
Baker, A. J.; May, J. P.
2004
Hecke operators as operations in elliptic cohomology. Zbl 0688.55007
Baker, Andrew
1990
Brauer groups for commutative $$S$$-algebras. Zbl 1345.55003
Baker, Andrew; Richter, Birgit; Szymik, Markus
2012
Uniqueness of $$E_\infty$$ structures for connective covers. Zbl 1132.55006
Baker, Andrew; Richter, Birgit
2008
On the iterated complex transfer. Zbl 0667.55009
Baker, A.; Carlisle, David P.; Gray, B.; Hilditch, S.; Ray, N.; Wood, R.
1988
Liftings of formal groups and the Artinian completion of $$v_ n^{- 1}BP$$. Zbl 0729.55002
Baker, Andrew; Würgler, Urs
1989
Topological André-Quillen homology for cellular commutative $$S$$-algebras. Zbl 1179.55006
Baker, Andrew; Gilmour, Helen; Reinhard, Philipp
2008
BP: close encounters of the $$E_\infty$$ kind. Zbl 1314.55001
Baker, Andrew
2014
$$I_n$$-local Johnson-Wilson spectra and their Hopf algebroids. Zbl 0946.55002
Baker, Andrew
2000
Bockstein operations in Morava $$K$$-theories. Zbl 0751.55002
Baker, Andrew; Würgler, Urs
1991
Topological Hochschild cohomology and generalized Morita equivalence. Zbl 1078.16005
Baker, Andrew; Lazarev, Andrey
2004
Power operations and coactions in highly commutative homology theories. Zbl 1351.55014
Baker, Andrew
2015
p-adic continuous functions on rings of integers and a theorem of K. Mahler. Zbl 0562.12016
Baker, Andrew
1986
$$A_ \infty$$ structures on some spectra related to Morava $$K$$-theories. Zbl 0772.55003
Baker, Andrew
1991
On the detection of some elements in the image of the double transfer using K(2)-theory. Zbl 0621.55011
Baker, Andrew
1988
Husemoller-Witt decompositions and actions of the Steenrod algebra. Zbl 0558.55012
Baker, Andrew
1985
Continuous Morava $$K$$-theory and the geometry of the $$I_ n$$-adic tower. Zbl 0828.55003
Baker, Andrew; Hunton, John
1994
Elliptic genera of level $$N$$ and elliptic cohomology. Zbl 0821.55005
Baker, Andrew
1994
Hecke operations and the Adams $$E_2$$-term based on elliptic cohomology. Zbl 0934.55005
Baker, Andrew
1999
Some properties of the Thom spectrum over loop suspension of complex projective space. Zbl 1339.55010
Baker, Andrew; Richter, Birgit
2014
Complex cobordism of Hilbert manifolds with some applications to flag varieties of loop groups. Zbl 0979.57013
Baker, A.; Özel, C.
2000
On the spaces classifying complex vector bundles with given real dimension. Zbl 0624.55006
Baker, Andrew
1986
Some infinite families of U-hypersurfaces. Zbl 0513.57017
Baker, Andrew; Ray, Nigel
1982
$$L$$-complete Hopf algebroids and their comodules. Zbl 1192.55004
Baker, Andrew
2009
On the homotopy type of the spectrum representing elliptic cohomology. Zbl 0677.55005
Baker, Andrew
1989
On the cooperation algebra of the connective Adams summand. Zbl 1206.55013
Baker, Andrew; Richter, Birgit
2008
$$\mathcal {E}_\infty$$ ring spectra and elements of Hopf invariant 1. Zbl 1401.55010
Baker, Andrew
2017
A version of Landweber’s filtration theorem for $$v_ n$$-periodic Hopf algebroids. Zbl 0868.55002
Baker, Andrew
1995
Hecke algebras acting on elliptic cohomology. Zbl 0911.55002
Baker, Andrew
1998
Operations and cooperations in elliptic cohomology. I: Generalized modular forms and the cooperation algebra. Zbl 0810.55007
Baker, Andrew
1994
Hypersurfaces framées et l’élément $$\beta _ 1$$ de Toda. (Framed hypersurfaces and Toda’s element $$\beta _ 1)$$. Zbl 0596.55007
Baker, A.; Ray, N.; Schwarz, L.
1987
Combinatorial and arithmetic identities based on formal group laws. Zbl 0666.14019
Baker, Andrew
1987
A decomposition theorem for certain bipolynomial Hopf algebras. Zbl 0522.16009
Baker, Andrew
1984
Structured ring spectra. Zbl 1051.55001
Baker, Andrew (ed.); Richter, Birgit (ed.)
2004
Characteristics for $$\mathcal{E}_\infty$$ ring spectra. Zbl 06950980
Baker, Andrew
2018
On the cohomology of loop spaces for some Thom spaces. Zbl 1246.55008
Baker, Andrew
2012
Characteristics for $$\mathcal{E}_\infty$$ ring spectra. Zbl 06950980
Baker, Andrew
2018
$$\mathcal {E}_\infty$$ ring spectra and elements of Hopf invariant 1. Zbl 1401.55010
Baker, Andrew
2017
Power operations and coactions in highly commutative homology theories. Zbl 1351.55014
Baker, Andrew
2015
BP: close encounters of the $$E_\infty$$ kind. Zbl 1314.55001
Baker, Andrew
2014
Some properties of the Thom spectrum over loop suspension of complex projective space. Zbl 1339.55010
Baker, Andrew; Richter, Birgit
2014
Brauer groups for commutative $$S$$-algebras. Zbl 1345.55003
Baker, Andrew; Richter, Birgit; Szymik, Markus
2012
On the cohomology of loop spaces for some Thom spaces. Zbl 1246.55008
Baker, Andrew
2012
$$L$$-complete Hopf algebroids and their comodules. Zbl 1192.55004
Baker, Andrew
2009
Quasisymmetric functions from a topological point of view. Zbl 1169.05049
Baker, Andrew; Richter, Birgit
2008
Galois extensions of Lubin-Tate spectra. Zbl 1175.55007
Baker, Andrew; Richter, Birgit
2008
Uniqueness of $$E_\infty$$ structures for connective covers. Zbl 1132.55006
Baker, Andrew; Richter, Birgit
2008
Topological André-Quillen homology for cellular commutative $$S$$-algebras. Zbl 1179.55006
Baker, Andrew; Gilmour, Helen; Reinhard, Philipp
2008
On the cooperation algebra of the connective Adams summand. Zbl 1206.55013
Baker, Andrew; Richter, Birgit
2008
Realizability of algebraic Galois extensions by strictly commutative ring spectra. Zbl 1111.55009
Baker, Andrew; Richter, Birgit
2007
On the $$\Gamma$$-cohomology of rings of numerical polynomials and $$E_\infty$$ structures on $$K$$-theory. Zbl 1094.55010
Baker, Andrew; Richter, Birgit
2005
Invertible modules for commutative $$\mathbb S$$-algebras with residue fields. Zbl 1092.55007
Baker, Andrew; Richter, Birgit
2005
Minimal atomic complexes. Zbl 1055.55007
Baker, A. J.; May, J. P.
2004
Topological Hochschild cohomology and generalized Morita equivalence. Zbl 1078.16005
Baker, Andrew; Lazarev, Andrey
2004
Structured ring spectra. Zbl 1051.55001
Baker, Andrew; Richter, Birgit
2004
Matrix groups. An introduction to Lie group theory. Zbl 1009.22001
Baker, Andrew
2002
Brave new Hopf algebroids and extensions of $$MU$$-algebras. Zbl 1380.55009
Baker, Andrew; Jeanneret, Alain
2002
On the Adams spectral sequence for $$R$$-modules. Zbl 0970.55006
Baker, Andrew; Lazarev, Andrej
2001
$$I_n$$-local Johnson-Wilson spectra and their Hopf algebroids. Zbl 0946.55002
Baker, Andrew
2000
Complex cobordism of Hilbert manifolds with some applications to flag varieties of loop groups. Zbl 0979.57013
Baker, A.; Özel, C.
2000
Right eigenvalues for quaternionic matrices: A topological approach. Zbl 0941.15013
Baker, Andrew
1999
Hecke operations and the Adams $$E_2$$-term based on elliptic cohomology. Zbl 0934.55005
Baker, Andrew
1999
Hecke algebras acting on elliptic cohomology. Zbl 0911.55002
Baker, Andrew
1998
A version of Landweber’s filtration theorem for $$v_ n$$-periodic Hopf algebroids. Zbl 0868.55002
Baker, Andrew
1995
Continuous Morava $$K$$-theory and the geometry of the $$I_ n$$-adic tower. Zbl 0828.55003
Baker, Andrew; Hunton, John
1994
Elliptic genera of level $$N$$ and elliptic cohomology. Zbl 0821.55005
Baker, Andrew
1994
Operations and cooperations in elliptic cohomology. I: Generalized modular forms and the cooperation algebra. Zbl 0810.55007
Baker, Andrew
1994
Bockstein operations in Morava $$K$$-theories. Zbl 0751.55002
Baker, Andrew; Würgler, Urs
1991
$$A_ \infty$$ structures on some spectra related to Morava $$K$$-theories. Zbl 0772.55003
Baker, Andrew
1991
Hecke operators as operations in elliptic cohomology. Zbl 0688.55007
Baker, Andrew
1990
On the Kummer congruences and the stable homotopy of BU. Zbl 0709.55012
Baker, Andrew; Clarke, Francis; Ray, Nigel; Schwartz, Lionel
1989
Liftings of formal groups and the Artinian completion of $$v_ n^{- 1}BP$$. Zbl 0729.55002
Baker, Andrew; Würgler, Urs
1989
On the homotopy type of the spectrum representing elliptic cohomology. Zbl 0677.55005
Baker, Andrew
1989
On the iterated complex transfer. Zbl 0667.55009
Baker, A.; Carlisle, David P.; Gray, B.; Hilditch, S.; Ray, N.; Wood, R.
1988
On the detection of some elements in the image of the double transfer using K(2)-theory. Zbl 0621.55011
Baker, Andrew
1988
Hypersurfaces framées et l’élément $$\beta _ 1$$ de Toda. (Framed hypersurfaces and Toda’s element $$\beta _ 1)$$. Zbl 0596.55007
Baker, A.; Ray, N.; Schwarz, L.
1987
Combinatorial and arithmetic identities based on formal group laws. Zbl 0666.14019
Baker, Andrew
1987
p-adic continuous functions on rings of integers and a theorem of K. Mahler. Zbl 0562.12016
Baker, Andrew
1986
On the spaces classifying complex vector bundles with given real dimension. Zbl 0624.55006
Baker, Andrew
1986
Husemoller-Witt decompositions and actions of the Steenrod algebra. Zbl 0558.55012
Baker, Andrew
1985
A decomposition theorem for certain bipolynomial Hopf algebras. Zbl 0522.16009
Baker, Andrew
1984
Some infinite families of U-hypersurfaces. Zbl 0513.57017
Baker, Andrew; Ray, Nigel
1982
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#### Cited by 198 Authors

 14 Baker, Andrew J. 10 Lawson, Tyler Douglas 7 Richter, Birgit 6 Hill, Michael A. 5 Barthel, Tobias 5 Heard, Drew 5 Kyrchei, Ivan I. 5 Mathew, Akhil 4 Wang, Qingwen 4 Wüthrich, Samuel 3 Carlisle, David P. 3 Hovey, Mark A. 3 Hunton, John Robert 3 Kuhn, Nicholas J. 3 Laures, Gerd 3 Morava, Jack Johnson 3 Ray, Nigel 3 Szymik, Markus 3 Tempesta, Piergiulio 3 Thibon, Jean-Yves 3 Xia, Yonghui 3 Yu, Houyi 2 Adelberg, Arnold M. 2 Ando, Matthew 2 Angeltveit, Vigleik 2 Behrens, Mark Joseph 2 Cheng, Dong 2 Clarke, Francis Willoughby 2 Davis, Daniel G. 2 Diacu, Florin Nicolae 2 Erdoğdu, Melek 2 Gepner, David 2 Guo, Li 2 Hilditch, S. 2 Hopkins, Michael Jerome 2 Jeanneret, Alain 2 Johnson, Niles 2 Lazarev, Andrey 2 Lin, Chunyan 2 Lu, Gang 2 Meier, Lennart 2 Ozdemir, Mustafa Kemal 2 Park, Choonkil 2 Powell, Geoffrey M. L. 2 Ravenel, Douglas C. 2 Rognes, John 2 Stojanoska, Vesna 2 Valenzuela, Gabriel 2 Walker, Grant 2 Wood, Reginald M. W. 2 Zhang, Fuzhen 1 Akgül, Ali 1 Ali, Istkhar 1 Andersen, Kasper K. S. 1 Antieau, Benjamin 1 Aubert, Anne-Marie 1 Băleanu, Dumitru I. 1 Balmer, Paul 1 Banerjee, Romie 1 Barnes, David 1 Barwick, Clark 1 Bayındır, Haldun Özgür 1 Betley, Stanislaw 1 Blanc, Anthony 1 Blumberg, Andrew J. 1 Bruner, Robert R. 1 Burignat, Stéphane 1 Celledoni, Elena 1 Chu, Moody T. 1 Coelho, Luís M. S. 1 Cohen, Ralph L. 1 Conrad, Keith 1 Coutin, Laure 1 Crossley, Martin D. 1 Culver, Dominic Leon 1 Davis, Donald M. 1 De Leo, Stefano 1 De Vos, Alexis 1 Devalapurkar, Sanath 1 Devinatz, Ethan S. 1 Diaz, Rafael E. 1 Doliwa, Adam 1 Ducati, Gisele C. 1 Eccles, Peter John 1 Farenick, Douglas R. 1 Farid, Farid O. 1 Flores, José Luis 1 Franjou, Vincent 1 Franke, Jens 1 Frankland, Martin 1 Gaeta, Giuseppe 1 Giambalvo, Vincent 1 Giansiracusa, Jeffrey 1 Gilmour, Helen 1 Gök, İsmail 1 Goresky, Robert Mark 1 Gowda, Muddappa Seetharama 1 Gray, Brayton 1 Greenlees, John P. C. 1 Grodal, Jesper ...and 98 more Authors
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#### Cited in 66 Serials

 13 Algebraic & Geometric Topology 12 Advances in Mathematics 9 Journal of Pure and Applied Algebra 9 Transactions of the American Mathematical Society 9 Geometry & Topology 7 Mathematische Zeitschrift 7 Topology and its Applications 6 Applied Mathematics and Computation 6 Proceedings of the American Mathematical Society 5 Journal of Homotopy and Related Structures 4 Compositio Mathematica 4 Inventiones Mathematicae 4 Manuscripta Mathematica 4 Linear Algebra and its Applications 4 Advances in Applied Clifford Algebras 3 Duke Mathematical Journal 3 Glasgow Mathematical Journal 3 Journal of Number Theory 3 Journal of Topology 2 Journal of Mathematical Analysis and Applications 2 Linear and Multilinear Algebra 2 Annales de l’Institut Fourier 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 The Electronic Journal of Combinatorics 1 Computers & Mathematics with Applications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Physics 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 BIT 1 Bulletin de la Société Mathématique de France 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 Advances in Applied Mathematics 1 Annals of Pure and Applied Logic 1 Annals of Global Analysis and Geometry 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Economics Letters 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mathematical Programming. Series A. Series B 1 Journal of Nonlinear Science 1 Journal of Algebraic Combinatorics 1 The Journal of Analysis 1 Annales Mathématiques Blaise Pascal 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Multibody System Dynamics 1 Annals of Mathematics. Second Series 1 Qualitative Theory of Dynamical Systems 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Acta Numerica 1 Algebra & Number Theory 1 Journal of Mathematical Inequalities 1 Journal of $$K$$-Theory 1 São Paulo Journal of Mathematical Sciences 1 Journal of Applied Analysis and Computation 1 Forum of Mathematics, Sigma 1 Mathematics 1 Journal of Econometric Methods 1 Research in the Mathematical Sciences
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#### Cited in 37 Fields

 110 Algebraic topology (55-XX) 25 Category theory; homological algebra (18-XX) 21 Associative rings and algebras (16-XX) 20 $$K$$-theory (19-XX) 19 Commutative algebra (13-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Number theory (11-XX) 15 Algebraic geometry (14-XX) 13 Manifolds and cell complexes (57-XX) 12 Combinatorics (05-XX) 8 Group theory and generalizations (20-XX) 6 Ordinary differential equations (34-XX) 5 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 5 Functional analysis (46-XX) 5 Operator theory (47-XX) 5 Numerical analysis (65-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)