Dr Andrew Baker

  • Honorary Senior Research Fellow (School of Mathematics & Statistics)

email: Andrew.J.Baker@glasgow.ac.uk

School of Mathematics & Statistics, Mathematics & Statistics Building, University Place, Glasgow, G12 8QQ

ORCID iDhttps://orcid.org/0000-0002-9369-7702

Publications

List by: Type | Date

Jump to: 2021 | 2020 | 2018 | 2017 | 2015 | 2014 | 2013 | 2012 | 2011 | 2009 | 2008 | 2007 | 2005 | 2004 | 2002 | 2001
Number of items: 33.

2021

Baker, A. (2021) On the dual of a P-algebra and its comodules, with applications to comparison of some Bousfield classes. Technical Report. arXiv. (Submitted)

2020

Baker, A. (2020) Homotopy theory of modules over a commutative $S-algebra: some tools and examples. arXiv, (Unpublished)

Baker, A. (2020) Power operations in K-theory completed at a prime. Tbilisi Mathematical Journal(Spec 6), pp. 33-49.

Baker, A. and Bauer, T. (2020) The realizability of some finite-length modules over the Steenrod algebra by spaces. Algebraic and Geometric Topology, 20(4), pp. 2129-2143. (doi: 10.2140/agt.2020.20.2129)

2018

Baker, A. (2018) Iterated doubles of the Joker and their realisability. Homology, Homotopy and Applications, 20(2), pp. 341-360. (doi: 10.4310/HHA.2018.v20.n2.a17)

Baker, A. (2018) Characteristics for E∞ ring spectra. Contemporary Mathematics, 708, pp. 1-17. (doi: 10.1090/conm/708)

2017

Baker, A. (2017) E∞ ring spectra and elements of Hopf invariant 1. Boletín de la Sociedad Matemática Mexicana, 23(1), pp. 195-231. (doi: 10.1007/s40590-016-0096-8)

2015

Baker, A. (2015) Power operations and coactions in highly commutative homology theories. Publications of the Research Institute for Mathematical Sciences, 51(2), pp. 237-272. (doi: 10.4171/PRIMS/154)

2014

Baker, A. and Richter, B. (2014) Some properties of the Thom spectrum over loop suspension of complex projective space. Contemporary Mathematics, 617, pp. 1-12. (doi: 10.1090/conm/617)

2013

Baker, A. (2013) BP: close encounters of the E∞ kind. Journal of Homotopy and Related Structures, 9(2), pp. 257-282. (doi: 10.1007/s40062-013-0051-6)

2012

Baker, A.J. , Richter, B. and Szymik, M. (2012) Brauer groups for commutative S-algebras. Journal of Pure and Applied Algebra, 216(11), pp. 2361-2376. (doi: 10.1016/j.jpaa.2012.03.001)

Baker, A. (2012) On the cohomology of loop spaces for some Thom spaces. Geometry and Topology, 18, pp. 59-74.

Baker, A. (2012) Calculating with topological André-Quillen theory, I: homotopical properties of universal derivations and free commutative S-algebras. arXiv, (Unpublished)

Baker, A. (2012) Frobenius Green functors. arXiv, (Unpublished)

2011

Baker, A. and Richter, B. (2011) Galois theory and Lubin-Tate cochains on classifying spaces. Central European Journal of Mathematics, 9(5), pp. 1074-1087. (doi: 10.2478/s11533-011-0058-3)

2009

Baker, A. (2009) L-complete Hopf algebroids and their comodules. Contemporary Mathematics, 504, pp. 1-22.

Baker, A.J. and Richter, B. (2009) New Topological Contexts for Galois Theory and Algebraic Geometry (BIRS 2008). Series: Geometry and topology monographs, 16. Mathematical Sciences Publishers. (doi: 10.2140/gtm.2009.16)

2008

Baker, A. and Richter, B. (2008) Galois extensions of Lubin-Tate spectra. Homology, Homotopy and Applications, 10(3), pp. 27-43.

Baker, A. , Gilmour, H. and Reinhard, P. (2008) Topological Andre-Quillen homology for cellular commutative S-algebras. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 78(1), pp. 27-50. (doi: 10.1007/s12188-008-0005-9)

Baker, A. and Richter, B. (2008) Quasisymmetric functions from a topological point of view. Mathematica Scandinavica, 103(2), pp. 208-242.

Baker, A. and Richter, B. (2008) On the cooperation algebra of the connective Adams summand. Tbilisi Mathematical Journal, 1, pp. 33-70.

Baker, A. and Richter, B. (2008) Uniqueness of E-infinity structures for connective covers. Proceedings of the American Mathematical Society, 136(2), pp. 707-714. (doi: 10.1090/S0002-9939-07-08984-8)

2007

Baker, A. and Richter, B. (2007) Realizability of algebraic Galois extensions by strictly commutative ring spectra. Transactions of the American Mathematical Society, 359, pp. 827-857.

2005

Baker, A. and Richter, B. (2005) Invertible modules for commutative S-algebras with residue fields. Manuscripta Mathematica, 118(1), pp. 99-119. (doi: 10.1007/s00229-005-0582-1)

Baker, A. and Richter, B. (2005) On the Gamma-cohomology of rings of numerical polynomials and E-infinity structures on K-theory. Commentarii Mathematici Helvetici, 80(4), pp. 691-723. (doi: 10.4171/CMH/31)

2004

Baker, A.J. and May, J.P. (2004) Minimal atomic complexes. Topology, 43(3), pp. 645-665. (doi: 10.1016/j.top.2003.09.004)

Baker, A. and Richter, B. (Eds.) (2004) Structured Ring Spectra. Series: London Mathematical Society Lecture Note Series. Cambridge University Press: Cambridge, UK. ISBN 9780521603058

Baker, A. and Lazarev, A. (2004) Topological Hochschild cohomology and generalized Morita equivalence. Algebraic and Geometric Topology, 4, pp. 623-645. (doi: 10.2140/agt.2004.4.623)

2002

Baker, A. (2002) Matrix Groups: An Introduction to Lie Group Theory. Series: Springer undergraduate mathematics series. Springer: London, UK. ISBN 9781852334703

Baker, A. and Jeanneret, A. (2002) Brave new Hopf algebroids and extensions of MU-algebras. Homology, Homotopy and Applications, 4(1), pp. 163-173.

2001

Baker, A. (2001) On the Adams E2-term for elliptic cohomology. In: Greenlees, J.P.C. (ed.) Homotopy Methods in Algebraic Topology : Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20 - 24, 1999. Series: Contemporary mathematics (271). American Mathematical Society: Providence, USA, pp. 1-15. ISBN 9780821826218

Baker, A. and Lazarev, A. (2001) On the Adams spectral sequence for R–modules. Algebraic and Geometric Topology, 1, pp. 173-199. (doi: 10.2140/agt.2001.1.173)

Baker, A. and Tamanoi, H. (2001) Invariants for finite dimensional groups in vertex operator algebras associated to basic representations of affine algebras. In: McKay, J. and Sebbar, A. (eds.) Proceedings on Moonshine and Related Topics. Series: CRM proceedings & lecture notes (30). American Mathematical Society: Providence, USA, pp. 1-13. ISBN 9780821828793

This list was generated on Tue Nov 30 23:33:10 2021 GMT.
Number of items: 33.

Articles

Baker, A. (2020) Homotopy theory of modules over a commutative $S-algebra: some tools and examples. arXiv, (Unpublished)

Baker, A. (2020) Power operations in K-theory completed at a prime. Tbilisi Mathematical Journal(Spec 6), pp. 33-49.

Baker, A. and Bauer, T. (2020) The realizability of some finite-length modules over the Steenrod algebra by spaces. Algebraic and Geometric Topology, 20(4), pp. 2129-2143. (doi: 10.2140/agt.2020.20.2129)

Baker, A. (2018) Iterated doubles of the Joker and their realisability. Homology, Homotopy and Applications, 20(2), pp. 341-360. (doi: 10.4310/HHA.2018.v20.n2.a17)

Baker, A. (2018) Characteristics for E∞ ring spectra. Contemporary Mathematics, 708, pp. 1-17. (doi: 10.1090/conm/708)

Baker, A. (2017) E∞ ring spectra and elements of Hopf invariant 1. Boletín de la Sociedad Matemática Mexicana, 23(1), pp. 195-231. (doi: 10.1007/s40590-016-0096-8)

Baker, A. (2015) Power operations and coactions in highly commutative homology theories. Publications of the Research Institute for Mathematical Sciences, 51(2), pp. 237-272. (doi: 10.4171/PRIMS/154)

Baker, A. and Richter, B. (2014) Some properties of the Thom spectrum over loop suspension of complex projective space. Contemporary Mathematics, 617, pp. 1-12. (doi: 10.1090/conm/617)

Baker, A. (2013) BP: close encounters of the E∞ kind. Journal of Homotopy and Related Structures, 9(2), pp. 257-282. (doi: 10.1007/s40062-013-0051-6)

Baker, A.J. , Richter, B. and Szymik, M. (2012) Brauer groups for commutative S-algebras. Journal of Pure and Applied Algebra, 216(11), pp. 2361-2376. (doi: 10.1016/j.jpaa.2012.03.001)

Baker, A. (2012) On the cohomology of loop spaces for some Thom spaces. Geometry and Topology, 18, pp. 59-74.

Baker, A. (2012) Calculating with topological André-Quillen theory, I: homotopical properties of universal derivations and free commutative S-algebras. arXiv, (Unpublished)

Baker, A. (2012) Frobenius Green functors. arXiv, (Unpublished)

Baker, A. and Richter, B. (2011) Galois theory and Lubin-Tate cochains on classifying spaces. Central European Journal of Mathematics, 9(5), pp. 1074-1087. (doi: 10.2478/s11533-011-0058-3)

Baker, A. (2009) L-complete Hopf algebroids and their comodules. Contemporary Mathematics, 504, pp. 1-22.

Baker, A. and Richter, B. (2008) Galois extensions of Lubin-Tate spectra. Homology, Homotopy and Applications, 10(3), pp. 27-43.

Baker, A. , Gilmour, H. and Reinhard, P. (2008) Topological Andre-Quillen homology for cellular commutative S-algebras. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 78(1), pp. 27-50. (doi: 10.1007/s12188-008-0005-9)

Baker, A. and Richter, B. (2008) Quasisymmetric functions from a topological point of view. Mathematica Scandinavica, 103(2), pp. 208-242.

Baker, A. and Richter, B. (2008) On the cooperation algebra of the connective Adams summand. Tbilisi Mathematical Journal, 1, pp. 33-70.

Baker, A. and Richter, B. (2008) Uniqueness of E-infinity structures for connective covers. Proceedings of the American Mathematical Society, 136(2), pp. 707-714. (doi: 10.1090/S0002-9939-07-08984-8)

Baker, A. and Richter, B. (2007) Realizability of algebraic Galois extensions by strictly commutative ring spectra. Transactions of the American Mathematical Society, 359, pp. 827-857.

Baker, A. and Richter, B. (2005) Invertible modules for commutative S-algebras with residue fields. Manuscripta Mathematica, 118(1), pp. 99-119. (doi: 10.1007/s00229-005-0582-1)

Baker, A. and Richter, B. (2005) On the Gamma-cohomology of rings of numerical polynomials and E-infinity structures on K-theory. Commentarii Mathematici Helvetici, 80(4), pp. 691-723. (doi: 10.4171/CMH/31)

Baker, A.J. and May, J.P. (2004) Minimal atomic complexes. Topology, 43(3), pp. 645-665. (doi: 10.1016/j.top.2003.09.004)

Baker, A. and Lazarev, A. (2004) Topological Hochschild cohomology and generalized Morita equivalence. Algebraic and Geometric Topology, 4, pp. 623-645. (doi: 10.2140/agt.2004.4.623)

Baker, A. and Jeanneret, A. (2002) Brave new Hopf algebroids and extensions of MU-algebras. Homology, Homotopy and Applications, 4(1), pp. 163-173.

Baker, A. and Lazarev, A. (2001) On the Adams spectral sequence for R–modules. Algebraic and Geometric Topology, 1, pp. 173-199. (doi: 10.2140/agt.2001.1.173)

Books

Baker, A.J. and Richter, B. (2009) New Topological Contexts for Galois Theory and Algebraic Geometry (BIRS 2008). Series: Geometry and topology monographs, 16. Mathematical Sciences Publishers. (doi: 10.2140/gtm.2009.16)

Baker, A. (2002) Matrix Groups: An Introduction to Lie Group Theory. Series: Springer undergraduate mathematics series. Springer: London, UK. ISBN 9781852334703

Book Sections

Baker, A. (2001) On the Adams E2-term for elliptic cohomology. In: Greenlees, J.P.C. (ed.) Homotopy Methods in Algebraic Topology : Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference, University of Colorado, Boulder, June 20 - 24, 1999. Series: Contemporary mathematics (271). American Mathematical Society: Providence, USA, pp. 1-15. ISBN 9780821826218

Baker, A. and Tamanoi, H. (2001) Invariants for finite dimensional groups in vertex operator algebras associated to basic representations of affine algebras. In: McKay, J. and Sebbar, A. (eds.) Proceedings on Moonshine and Related Topics. Series: CRM proceedings & lecture notes (30). American Mathematical Society: Providence, USA, pp. 1-13. ISBN 9780821828793

Edited Books

Baker, A. and Richter, B. (Eds.) (2004) Structured Ring Spectra. Series: London Mathematical Society Lecture Note Series. Cambridge University Press: Cambridge, UK. ISBN 9780521603058

Research Reports or Papers

Baker, A. (2021) On the dual of a P-algebra and its comodules, with applications to comparison of some Bousfield classes. Technical Report. arXiv. (Submitted)

This list was generated on Tue Nov 30 23:33:10 2021 GMT.