Dr Andrew Baker
- Reader (Mathematics)
telephone: 01413306140
email: Andrew.J.Baker@glasgow.ac.uk
Research Interests
My main research interests are in Algebraic Topology, especially stable homotopy theory, operations in periodic cohomology theories, structured ring spectra including Galois theory and other applications of algebra, number theory and algebraic geometry.
Research Groups
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. ISSN 0022-4049 (doi:10.1016/j.jpaa.2012.03.001)
Baker, A. (2012) On the cohomology of loop spaces for some Thom spaces. New York Journal of Mathematics, 18 . pp. 59-74. ISSN 1076-9803
Baker, A. (2012) BP: close encounters of the E-infinity kind. (Unpublished)
Baker, A. (2012) Calculating with topological André-Quillen theory, I: homotopical properties of universal derivations and free commutative S-algebras. (Unpublished)
Baker, A. (2012) Frobenius Green functors. (Unpublished)
Baker, A., and Richter, B. (2012) Some properties of the Thom spectrum over $\Omega\Sigma\CPi$. 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 (Unpublished)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. ISSN 1895-1074 (doi:10.2478/s11533-011-0058-3)
2009
Baker, A. (2009) L-complete Hopf algebroids and their comodules. Contemporary Mathematics, 504 . pp. 1-22. ISSN 0271-4132
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.
2008
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. ISSN 0025-5858 (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. ISSN 0025-5521
Baker, A., and Richter, B. (2008) Galois extensions of Lubin-Tate spectra. Homology, Homotopy and Applications, 10 (3). pp. 27-43. ISSN 1532-0073
Baker, A., and Richter, B. (2008) On the cooperation algebra of the connective Adams summand. Tbilisi Mathematical Journal, 1 . pp. 33-70. ISSN 1875-158X
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. ISSN 0002-9939 (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. ISSN 0002-9947
2005
Baker, A., and Richter, B. (2005) Invertible modules for commutative S-algebras with residue fields. Manuscripta Mathematica, 118 (1). pp. 99-119. ISSN 0025-2611 (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. ISSN 0040-9383 (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. ISSN 1472-2747 (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. ISSN 1532-0073
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. ISSN 1472-2747 (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
