Birgit Richter's publications

Publications in MathSciNet

Books

New Topological Contexts for Galois Theory and Algebraic Geometry, eds.: Andy Baker, Birgit Richter, G&T monographs volume no 16, (2009).
Structured Ring Spectra, eds.: Andy Baker, Birgit Richter, London Mathematical Society Lecture Note Series 315, Cambridge University Press, (2004).

Accepted/Published:

26. Brauer groups for commutative S-algebras, joint with Andy Baker and Markus Szymik, accepted by the Journal of Pure and Applied Algebra.

25. Ring completion of rig categories, joint with Bjørn Ian Dundas, John Rognes and Nils Baas, to appear in Crelle no 674 (aka Journal für die reine und angewandte Mathematik).

24. An interpretation of E_n-homology as functor homology, joint with Muriel Livernet, Mathematische Zeitschrift 269 (1) 2011, 193--219.

23. Stable bundles over rig categories, joint with Bjørn Ian Dundas, John Rognes and Nils Baas, Journal of Topology 2011, 623--640.

22. Galois theory and Lubin-Tate cochains on classifying spaces, joint with Andy Baker, Central European Journal of Mathematics, 9(5), 2011, 1074--1087.

21. An involution on the K-theory of bimonoidal categories with anti-involution, Algebraic and Geometric Topology, 10, 2010, 315--342.

20. Divided power structures and chain complexes.; Proceedings of the 2008 Arolla conference Alpine perspectives on algebraic topology, edited by C. Ausoni, K. Hess, and J. Scherer, Contemp. Math. AMS 504, 2009, 237--254.

19. Cyclic Gamma homology and Gamma homology for associative algebras, Georgian Mathematical Journal 16, 2009, No. 1, 145--156.

18. Galois extensions of Lubin-Tate spectra, joint with Andy Baker, Proceedings of a Conference in honor of Douglas C. Ravenel and W. Stephen Wilson, HHA 10(3), 2008, 27--43.

17. Quasisymmetric functions from a topological point of view, joint with Andy Baker, Mathematica Scandinavica, 103, issue 2, 2008, 208--242.

16. On the cooperation algebra of the connective Adams summand, joint with Andy Baker, Tbilisi Mathematical Journal 1, 2008, pp. 33--70.

15. Uniqueness of E_∞ structures for connective covers, joint with Andy Baker, Proc. Amer. Math. Soc. 136, 2008, 707-714

14. Realizability of algebraic Galois extensions by strictly commutative ring spectra, joint with Andy Baker. Trans. Amer. Math. Soc. 359, 2007, 827-857

13. Homotopy algebras and the inverse of the normalization functor, Journal of Pure and Applied Algebra 206 (3), 2006, 277-321

12. A lower bound for coherences on the Brown-Peterson spectrum, Algebraic and Geometric Topology 6, 2006, 287-308

11. Gamma-cohomology of rings of numerical polynomials and E_∞ structures on K-theory, joint with Andy Baker, Commentarii Mathematici Helvetici 80 (4), 2005, 691-723

10. Invertible modules for commutative S-algebras with residue fields, joint with Andy Baker, manuscripta mathematica 118 (1), 2005, 99-119

9. (Co-)homology theories for commutative (S-)algebras, joint with Maria Basterra; in: Structured ring spectra., eds. A. Baker, B. Richter, London Mathematical Society Lecture Note Series 315, Cambridge University Press, 2004, 115-131

8. Crossed Modules over Operads and Operadic Cohomology, joint with Hans-Joachim Baues und Elias Gabriel Minian; K-theory 31, 2004, 39-69

7. Gamma-homology of group algebras and of polynomial algebras, joint with Alan Robinson; in: Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic K-Theory, eds.: Paul Goerss and Stewart Priddy, Northwestern University, Cont. Math. 346, AMS, 2004, 453-461

6. Symmetries of the Dold-Kan correspondence, Mathematical Proceedings of the Cambridge Philosophical Society, 134, 2003, 95-102

5. Hochschild and cyclic homology via functor homology, joint with Teimuraz Pirashvili, K-theory 25 (1), 2002, 39-49

4. An Atiyah-Hirzebruch spectral sequence for topological André-Quillen homology, Journal of Pure and Applied Algebra, 171 (1), 2002, 59-66.

3. Taylor towers of Gamma-modules, Annales de l'Institut Fourier, 51 (4), 2001, 995-1023.

2. Robinson-Whitehouse complex and stable homotopy, joint with Teimuraz Pirashvili, Topology 39, 2000, 525-530.

1. E_∞-structure for Q_*(R), Mathematische Annalen, 316, 2000, 547-564.

PhD thesis: Taylorapproximationen und kubische Konstruktionen von Gamma-Moduln, Bonner Mathematische Schriften 332

Diploma thesis: Dialgebren, Doppelalgebren und ihre Homologie

Erdös number = 3 = Adams number

home

26.	Brauer groups for commutative S-algebras, joint with Andy Baker and Markus Szymik, accepted by the Journal of Pure and Applied Algebra.
25.	Ring completion of rig categories, joint with Bjørn Ian Dundas, John Rognes and Nils Baas, to appear in Crelle no 674 (aka Journal für die reine und angewandte Mathematik).
24.	An interpretation of E_n-homology as functor homology, joint with Muriel Livernet, Mathematische Zeitschrift 269 (1) 2011, 193--219.
23.	Stable bundles over rig categories, joint with Bjørn Ian Dundas, John Rognes and Nils Baas, Journal of Topology 2011, 623--640.
22.	Galois theory and Lubin-Tate cochains on classifying spaces, joint with Andy Baker, Central European Journal of Mathematics, 9(5), 2011, 1074--1087.
21.	An involution on the K-theory of bimonoidal categories with anti-involution, Algebraic and Geometric Topology, 10, 2010, 315--342.
20.	Divided power structures and chain complexes.; Proceedings of the 2008 Arolla conference Alpine perspectives on algebraic topology, edited by C. Ausoni, K. Hess, and J. Scherer, Contemp. Math. AMS 504, 2009, 237--254.
19.	Cyclic Gamma homology and Gamma homology for associative algebras, Georgian Mathematical Journal 16, 2009, No. 1, 145--156.
18.	Galois extensions of Lubin-Tate spectra, joint with Andy Baker, Proceedings of a Conference in honor of Douglas C. Ravenel and W. Stephen Wilson, HHA 10(3), 2008, 27--43.
17.	Quasisymmetric functions from a topological point of view, joint with Andy Baker, Mathematica Scandinavica, 103, issue 2, 2008, 208--242.
16.	On the cooperation algebra of the connective Adams summand, joint with Andy Baker, Tbilisi Mathematical Journal 1, 2008, pp. 33--70.
15.	Uniqueness of E_∞ structures for connective covers, joint with Andy Baker, Proc. Amer. Math. Soc. 136, 2008, 707-714
14.	Realizability of algebraic Galois extensions by strictly commutative ring spectra, joint with Andy Baker. Trans. Amer. Math. Soc. 359, 2007, 827-857
13.	Homotopy algebras and the inverse of the normalization functor, Journal of Pure and Applied Algebra 206 (3), 2006, 277-321
12.	A lower bound for coherences on the Brown-Peterson spectrum, Algebraic and Geometric Topology 6, 2006, 287-308
11.	Gamma-cohomology of rings of numerical polynomials and E_∞ structures on K-theory, joint with Andy Baker, Commentarii Mathematici Helvetici 80 (4), 2005, 691-723
10.	Invertible modules for commutative S-algebras with residue fields, joint with Andy Baker, manuscripta mathematica 118 (1), 2005, 99-119
9.	(Co-)homology theories for commutative (S-)algebras, joint with Maria Basterra; in: Structured ring spectra., eds. A. Baker, B. Richter, London Mathematical Society Lecture Note Series 315, Cambridge University Press, 2004, 115-131
8.	Crossed Modules over Operads and Operadic Cohomology, joint with Hans-Joachim Baues und Elias Gabriel Minian; K-theory 31, 2004, 39-69
7.	Gamma-homology of group algebras and of polynomial algebras, joint with Alan Robinson; in: Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic K-Theory, eds.: Paul Goerss and Stewart Priddy, Northwestern University, Cont. Math. 346, AMS, 2004, 453-461
6.	Symmetries of the Dold-Kan correspondence, Mathematical Proceedings of the Cambridge Philosophical Society, 134, 2003, 95-102
5.	Hochschild and cyclic homology via functor homology, joint with Teimuraz Pirashvili, K-theory 25 (1), 2002, 39-49
4.	An Atiyah-Hirzebruch spectral sequence for topological André-Quillen homology, Journal of Pure and Applied Algebra, 171 (1), 2002, 59-66.
3.	Taylor towers of Gamma-modules, Annales de l'Institut Fourier, 51 (4), 2001, 995-1023.
2.	Robinson-Whitehouse complex and stable homotopy, joint with Teimuraz Pirashvili, Topology 39, 2000, 525-530.
1.	E_∞-structure for Q_(R)*, Mathematische Annalen, 316, 2000, 547-564.