Andrew Baker: Publications and Preprints

Complete list of Publications and Preprints

Books

• A. J. Baker and R. J. Plymen (editors), p-adic Methods and their Applications, Oxford University Press (1992).
• Matrix Groups: An Introduction to Lie Group Theory , Springer-Verlag (2002).
• Andrew Baker and Birgit Richter (editors), Structured Ring Spectra, Cambridge Univerity Press (2004).
• Andrew Baker and Birgit Richter (editors), New topological contexts for Galois theory and algebraic geometry (BIRS 2008), Geometry and Topology Monographs vol. 16, Geometry and Topology Publications, Mathematical Sciences Publishers, 2009.

Published and accepted papers available for downloading

• A. Baker, On weakly almost complex manifolds with vanishing decomposable Chern numbers, Contemporary Math. 19 (1983), 1-8. (pdf file)
• A. Baker: Elliptic curves, p-adic modular forms and Atkin's operator U_p, Contemporary Math. 96, (1989), 33-38. (pdf file)
• A. Baker: On the homotopy type of the spectrum representing elliptic cohomology, Proc. Amer. Math. Soc. 107 (1989), 537-48. (pdf file)
• A. Baker: Hecke operators as operations in elliptic cohomology, J. Pure and Applied Alg. 63 (1990), 1-11. (pdf file)
• A. Baker: Exotic multiplications on Morava K-theories and their liftings, Astérisque 191 (1990), 35-43. (pdf file)
• A. Baker: A-infinity stuctures on some spectra related to Morava K-theory, Quart. J. Math. Oxf. (2), 42 (1991), 403-419. (pdf file)
• A. Baker and U. Würgler: Bockstein operations in Morava K-theory, Forum Math. 3 (1991), 543-60. (pdf file)
• A. Baker: Some chromatic phenomena in the homotopy of MSp, in Adams Memorial Symposium on Algebraic Topology, Vol. 2, Ed. N. Ray and G. Walker, London Mathematical Society Lecture Note Series 175 (1992), 263-280. (pdf file)
• A. Baker: Elliptic genera of level N and elliptic cohomology, Jour. Lond. Math. Soc. 49 (1994), 581-93. (pdf file)
• A. Baker and J. R. Hunton: Continuous Morava K-theory and the geometry of the I_n-adic tower, Math. Scand. 75 (1994), 67-81. (pdf file)
• A. Baker: A version of the Landweber filtration theorem for v_n-periodic Hopf algebroids, Osaka J. Math. 32 (1995), 689-99. (pdf file)
• A. Baker: Operations and cooperations in elliptic cohomology, Part I: Generalized modular forms and the cooperation algebra, New York J. Math. 1 (1995), 39-74.
• A. Baker: Hecke algebras acting on elliptic cohomology, Contemp. Math., 220 (1998), 17-26. (pdf file)
• A. Baker: Vertex operators in algebraic topology, in `The Monster and Lie Algebras: Proceedings of a Special Research Quarter at The Ohio State University, May 1996', edited by J. Ferrer & K. Harada, de Gruyter (1998), 1-16. (pdf file)
• A. Baker: Hecke operations and the Adams E_2-term based on elliptic cohomology, Can. Math. Bulletin 42 (1999), 129-138. (pdf file)
• A. Baker: A supersingular congruence for modular forms, Acta Arithmetica, 86 (1998), 91-100. (pdf file)
• A. Baker: Right eigenvalues for quaternionic matrices: a topological approach, Linear Algebra and its Applications, 286 (1999), 303-9. (pdf file)
• A. Baker: On the cohomology of some Hopf algebroids and Hattori-Stong theorems, Homology, Homotopy and Applications 2 (2000), 29-40.
• A. Baker and C. Özel: Complex cobordism of Hilbert manifolds with some applications to flag varieties of loop groups, in Geometry and Topology: Aarhus, Contemp. Math. 258 (2000), 1-19. (pdf file)
• A. Baker: I_n-local Johnson-Wilson spectra and their Hopf algebroids, Documenta Mathematica 5 (2000), 351-364.
• A. Baker and A. Lazarev: On the Adams Spectral Sequence for R-modules, Algebraic & Geometric Topology 1 (2001), 173-99.
• A. Baker: On the Adams E_2-term for elliptic cohomology, in Proceedings of the 1999 Boulder Conference in Contemp. Math. 271 (2001), 1-15. (Corrected version: pdf file)
• A. Baker and H. Tamanoi: Invariants for finite dimensional groups in vertex operator algebras associated to basic representations of affine algebras, CRM Proceedings and Lecture Notes 30 (2001). (pdf file)
• A. Baker and A. Jeanneret: Brave new Hopf algebroids and extensions of MU-algebras, Homology, Homotopy and Applications 4 (2002) 163-173.
• A. J. Baker and J. P. May: Minimal atomic complexes, Topology 43 (2004) 645-665. (math.AT/0206067).
• A. Baker and A. Lazarev: Topological Hochschild cohomology and generalized Morita equivalence, Algebraic & Geometric Topology 4 (2004), 623-645.
• A. Baker and B. Richter: On the Gamma-cohomology of rings of numerical polynomials and E-infinity structures on K-theory, Commentarii Mathematici Helvetici 80 (2005), 691-723. (math.AT/0304473)
• A. Baker and B. Richter: Invertible modules for commutative S-algebras with residue fields, manuscripta mathematica 118 (2005), 99-119. (math.AT/0405525)
• A. Baker and B. Richter: Realizability of algebraic Galois extensions by strictly commutative ring spectra, Trans. Amer. Math. Soc. 359 (2007), 827-857. (math.AT/0406314)
• A. Baker and B. Richter: Uniqueness of E-infinity structures for connective covers, Proc. Amer. Math. Soc. 136 (2008), 707-714. (math.AT/0506422)
• A. Baker and B. Richter: Quasisymmetric functions from a topological point of view, Math. Scand. 103 (2008), 208–242. (math.AT/0605743)
• A. Baker and B. Richter: On the cooperation algebra of the connective Adams summand, Tbilisi Math. Jour. 1 (2008), 33-70.
• A. Baker, H. Gilmour & P. Reinhard: Topological André-Quillen homology for cellular commutative S-algebras, Abhand. Math. Sem. Univ. Hamburg 78 (2008), 27-50. (published version / arXiv:0708.2041)
• A. Baker and B. Richter: Galois extensions of Lubin-Tate spectra, Homology, Homotopy and Applications, 10 (2008), 27-43.
• A. Baker: L-complete Hopf algebroids and their comodules, Contemp. Math. 504 (2009), 1-22. (arXiv:0901.1471)
• A. Baker and B. Richter: Galois theory and Lubin-Tate cochains on classifying spaces, Central European Journal of Mathematics 9 (2011), 1074-1087, doi:10.2478/s11533-011-0058-3; preprint version: Some properties of Lubin-Tate cohomology for classifying spaces of finite groups, (arxiv:1005.1662).
• A. Baker, B. Richter and M. Szymik: Brauer groups for commutative S-algebras, J. Pure and App. Algebra 216 (2012), 2361–2376, doi:http://dx.doi.org/10.1016/j.jpaa.2012.03.001 (arxiv:1005.5370).
• A. Baker: On the cohomology of loop spaces for some Thom spaces, New York J. Math. 18 (2012), 59-74. (arxiv:1105.0692).
• A. Baker and B. Richter: Some properties of the Thom spectrum over loop suspension of complex projective space, Contemp. Math. 617 (2014), 1-12. (arXiv:1207.4947)
• A. Baker: BP: Close encounters of the E_∞ kind, Journal of Homotopy and Related Structures 9 (2014), 257-282, doi:10.1007/s40062-013-0051-6 (preprint version arXiv:1204.4878).
• A. Baker: Power operations and coactions in highly commutative homology theories, Publ. Res. Inst. Math. Sci. of Kyoto Univ. 51 (2015), 237-272 (arXiv:1309.2323).
• A. Baker: E-infinity ring spectra and elements of Hopf invariant 1, Boletin de la Sociedad Matematica Mexicana 23 (2017), 195-231. (arXiv:1503.05902)
• A. Baker: Characteristics for E_∞ring spectra; Contemp. Math. 708 (2018), 1-17. (arXiv:1405.3695)
• A. Baker: Iterated doubles of the Joker and their realisability; Homology, Homotopy and Applications 20 (2018), 341-360. (arXiv:1710.02974)
• A. Baker and T. Bauer: The realizability of some finite-length modules over the Steenrod algebra by spaces; Algebraic & Geometric Topology 20 (2020) 2129-43. (arXiv:1903.10288)
• A. Baker: Power operations in K-theory completed at a prime; Tblisi Mathematical Journal Special Issue (Homotopy Theory, Spectra and Structured Ring Spectra) (2020) 33-49. (pdf file) (arXiv:1406.5620)

Preprints

• A. Baker and J. Morava: MSp localised away from 2 and odd formal group laws, Glasgow University Mathematics Department preprint 93/55. (arXiv:1403.2596)
• A. Baker: Some calculations with Milnor hypersurfaces and an application to Ginzburg's symplectic bordism ring, Glasgow University Mathematics Department preprint 94/54. (pdf file)
• A. Baker: Differential equations in divided power algebras, recurrence relations and formal groups, Glasgow University Mathematics Department preprint 95/19. (pdf file)
• A. Baker: Isogenies of supersingular elliptic curves over finite fields and operations in elliptic cohomology, Glasgow University Mathematics Department preprint 98/39. (arXiv:0712.2052)
• A. Baker: Profinite groupoids and their cohomology, Glasgow University Mathematics Department preprint 99/33. (pdf file)
• A. Baker and C.B. Thomas: Classifying spaces, Virasoro equivariant bundles, elliptic cohomology and Moonshine, Glasgow University Mathematics Department preprint 99/39. (pdf file)
• A. Baker: Brave new Hopf algebroids and the Adams spectral sequence for R-modules. (pdf file)
• A. Baker: On the homology of regular quotients, Glasgow University Mathematics Department preprint 01/1. (pdf file)
• A. Baker and A. Jeanneret: Brave new Bockstein operations, Glasgow University Mathematics Department preprint 03/18. (pdf file)
• A. Baker: Frobenius Green functors. (arXiv:1208.1746)
• A. Baker: Calculating with topological André-Quillen theory, I: Homotopical properties of universal derivations and free commutative S-algebras. (arXiv:1208.1868)
• A. Baker: Homotopy theory of modules over a commutative S-algebra: some tools and examples (arXiv:2003.12003)
• A. Baker: On the dual of a P-algebra and its comodules, with applications to comparison of some Bousfield classes (arXiv:2103.01253)
• A. Baker: On P-algebras and their duals (arXiv:2205.09541)
• A. Baker: Locally Frobenius algebras and Hopf algebras (arXiv:2212.00437)
• A. Baker: Endotrivial modules for the quaternion group and iterated Jokers in chromatic homotopy theory (arXiv:2309.05921)

Talks

• 50th BMC, 1998: Arithmetic invariants and periodicity in stable homotopy theory. (pdf file)
• TaG98, 1998: Complex cobordism of Hilbert manifolds. (pdf file)
• Oberwolfach Homotopy Theory meeting, 1998: Isogenies of elliptic curves and operations in elliptic cohomology. (pdf file)
• Glasgow Algebra Seminar, 1998: Cogroupoids, Hopf algebroids and cohomology. (pdf file)
• 14th British Topology Meeting, Swansea 1999: Topological invariants of generalized Kummer manifolds. (pdf file)
• Glasgow Geometry & Topology Seminar, 1999: An undergraduate approach to Lie theory. (pdf file)
• 30th Transpennine Topology Triangle meeting, Sheffield 2001: Artin-Schreier extensions and the Adams spectral sequence for elliptic cohomology. (pdf file)
• 17th British Topology Meeting, Leicester 2002: Cores of spectra and a construction of BoP. (pdf file)
• Muenster University, 2003: Stable operations in elliptic cohomology. (pdf file)
• Aberdeen University, 2004: Minimal atomic S-modules and S-algebras. (pdf file)
• International Conference on Homology Theories, K-Theory and Homotopy Theory, Tbilisi 2007: Topological André-Quillen homology as a cellular theory and some applications. (pdf file)
• Glasgow Algebra Seminar, 2009: L-complete Hopf algebroids. (pdf file)
• Université Paris 13, 2009: Chromatic calculations for the $S^1\times S^1$ transfer. (pdf file)
• 24th British Topology Meeting, Leicester 2009: Topological André-Quillen homology and some applications. (pdf file)
• Bergen Topology Seminar, 2010: Approaching BP as a commutative S-algebra. (pdf file)
• Bonn Topology Seminar, 2012: BP: Close encounters of the E-infinity kind. (pdf file)
• Bochum Topology Seminar, 2012: Morava K-theory of BG: the Good, the Bad and the Mackey. (pdf file)
• Santa Cruz Algebra & Number Theory Seminar, 2014: Frobenius Green Functors. (pdf file)
• Santa Cruz Colloquium, 2014: Polynomial Hopf algebras in Algebra & Topology. (pdf file)
• University of Chicago Topology Seminar, 2014: Characteristics for E-infinity ring spectra. (pdf file)
• 92nd Transpenine Topology Triangle, 2014: Power operations in completed K-theory. (pdf file)
• Aberdeen University, 2015: E-infinity ring spectra and Hopf invariant one elements. (pdf file)
• Chromatic homotopy theory working seminar, HIM Bonn, 2015: E-infinity ring spectra built from small complexes. (pdf file)
• Nordic Topology Meeting, Stockholm, 2015: Fun with Dyer-Lashof operations. (pdf file)

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Last updated 31/01/2024