Publications in MathSciNet (subscription required), on the arXiv

Books

Preprints:

• Detecting and describing ramification for structured ring spectra, joint with Eva Höning, version of May 2021, submitted.
• Stability of Loday constructions, joint with Ayelet Lindenstrauss, version of Mai 2021, submitted.
• Below I link preprint versions. If you follow the link for the published versions, a subscription might be required.

Accepted/Published:
 40. Loday constructions on twisted products and on tori, version of July 2020, accepted by Topology and its Applications, joint with Alice Hedenlund, Sarah Klanderman, Ayelet Lindenstrauss, and Foling Zou. 39. Commutative ring spectra, version of May 2020, to appear in Stable categories and structured ring spectra, edited by Andrew J. Blumberg, Teena Gerhardt, and Michael A. Hill, MSRI Book Series, Cambridge University Press. 38. A strictly commutative model for the cochain algebra of a space, joint with Steffen Sagave, Compositio Mathematica 156 (8) (2020), 1718--1743. Published version (open access) 37. Towards an understanding of ramified extensions of structured ring spectra, joint with Bjørn Dundas and Ayelet Lindenstrauss; Mathematical Proceedings of the Cambridge Philosophical Society 168 (3) (2020), 435--454. Published version. There is a mistake in the published version. An erratum is published online. The preprint version is updated and corrected. 36. Towards topological Hochschild homology of Johnson-Wilson spectra, joint with Christian Ausoni, Algebraic & Geometric Topology 20 (1) (2020), 375--393. Published version. 35. Splittings and calculational techniques for higher THH, joint with Irina Bobkova, Eva Höning, Ayelet Lindenstrauss, Kate Poirier and Inna Zakharevich, Algebraic & Geometric Topology 19 (7) (2019), 3711--3753. Published version. 34. Relative Loday constructions and applications to higher THH-calculations, joint with Gemma Halliwell, Eva Höning, Ayelet Lindenstrauss, Inna Zakharevich; Topology and its Applications 235 (2018), 523--545. Published version. 33. Inhabitants of interesting subsets of the Bousfield lattice, joint with Andrew Brooke-Taylor, Benedikt Löwe; J. Pure Appl. Algebra 222 (2018), no. 8, 2292--2298. Published version 32. Higher topological Hochschild homology of rings of integers, joint with Bjørn Dundas and Ayelet Lindenstrauss; Math. Research Letters 25, 2 (2018), 489--507. Published version 31. An algebraic model for commutative $$H\mathbb{Z}$$-algebras, joint with Brooke Shipley; Algebraic and Geometric Topology 17 (2017), 2013--2038. Published version 30. On the higher topological Hochschild homology of $$\mathbb{F}_p$$ and commutative $$\mathbb{F}_p$$-group algebras, joint with Irina Bobkova, Ayelet Lindenstrauss, Kate Poirier, Inna Zakharevich; Women in Topology: Collaborations in Homotopy Theory. Contemporary Mathematics 641, AMS, 2015, 97--122. Published version 29. On the homology and homotopy of commutative shuffle algebras, Israel Journal of Mathematics 209 (2) 2015, 651--682. Published version • Lineare Algebra in der Lehramtsausbildung — Wenig Bezug zum Mathematikunterricht?, Björn Schwarz, Philip Herrmann, Gabriele Kaiser, Birgit Richter, Jens Struckmeier, Beiträge zum Mathematikunterricht, 2014 (Band 2). Münster: WTM-Verlag, 1127--1130. 28. A spectral sequence for the homology of a finite algebraic delooping, joint with Stephanie Ziegenhagen, Journal of K-theory 13 issue 03, 2014, 563--599. Published version • Ein Projekt zur Unterstützung angehender Mathematiklehrkräfte in der ersten Phase ihres Studiums — Erste Erfahrungen aus der Begleitung einführender fachmathematischer Lehrveranstaltungen, Björn Schwarz, Philip Herrmann, Gabriele Kaiser, Birgit Richter, Jens Struckmeier, Beiträge zum Mathematikunterricht 2013 (2), 938--941 27. Some properties of the Thom spectrum over loop suspension of complex projective space, joint with Andy Baker. Proceedings of the 2012 Arolla conference An Alpine Expedition through Algebraic Topology, edited by Christian Ausoni, Kathryn Hess, Brenda Johnson, Wolfgang Lück, Jerome Scherer, Contemporary Mathematics 617, AMS, 2014, 1--12. Published version 26. Ring completion of rig categories, joint with Bjørn Ian Dundas, John Rognes and Nils Baas, Crelle (aka Journal für die reine und angewandte Mathematik), 674, 2013, 43--80. Published version 25. Brauer groups for commutative S-algebras, joint with Andy Baker and Markus Szymik, Journal of Pure and Applied Algebra 216 (11), 2012, 2316--2376. Published version 24. An interpretation of $$E_n$$-homology as functor homology, joint with Muriel Livernet, Mathematische Zeitschrift 269 (1) 2011, 193--219. Published version 23. Stable bundles over rig categories, joint with Bjørn Ian Dundas, John Rognes and Nils Baas, Journal of Topology, 4 (3), 2011, 623--640. Published version 22. Galois theory and Lubin-Tate cochains on classifying spaces, joint with Andy Baker, Central European Journal of Mathematics, 9 (5), 2011, 1074--1087. Published version 21. An involution on the K-theory of bimonoidal categories with anti-involution, Algebraic and Geometric Topology, 10, 2010, 315--342. Published version 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, Contemporary Mathematics 504, AMS, 2009, 237--254. Published version 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. Published version 17. Quasisymmetric functions from a topological point of view, joint with Andy Baker, Mathematica Scandinavica, 103, issue 2, 2008, 208--242. Published version 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 $$E_\infty$$-structures for connective covers, joint with Andy Baker, Proc. Amer. Math. Soc. 136, 2008, 707--714. Published version 14. Realizability of algebraic Galois extensions by strictly commutative ring spectra, joint with Andy Baker. Trans. Amer. Math. Soc. 359, 2007, 827--857. Published version 13. Homotopy algebras and the inverse of the normalization functor, Journal of Pure and Applied Algebra 206 (3), 2006, 277--321. Published version 12. A lower bound for coherences on the Brown-Peterson spectrum, Algebraic and Geometric Topology 6, 2006, 287--308. Published version 11. Gamma-cohomology of rings of numerical polynomials and $$E_\infty$$-structures on K-theory, joint with Andy Baker, Commentarii Mathematici Helvetici 80 (4), 2005, 691--723. Published version 10. Invertible modules for commutative S-algebras with residue fields, joint with Andy Baker, manuscripta mathematica 118 (1), 2005, 99--119. Published version 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. Published version 8. Crossed Modules over Operads and Operadic Cohomology, joint with Hans-Joachim Baues und Elias Gabriel Minian; K-theory 31, 2004, 39--69. Published version 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. Published version 6. Symmetries of the Dold-Kan correspondence, Mathematical Proceedings of the Cambridge Philosophical Society, 134, 2003, 95--102. Published version 5. Hochschild and cyclic homology via functor homology, joint with Teimuraz Pirashvili, K-theory 25 (1), 2002, 39--49. Published version 4. An Atiyah-Hirzebruch spectral sequence for topological André-Quillen homology, Journal of Pure and Applied Algebra, 171 (1), 2002, 59--66. Published version 3. Taylor towers of Gamma-modules, Annales de l'Institut Fourier, 51 (4), 2001, 995--1023. Published version 2. Robinson-Whitehouse complex and stable homotopy, joint with Teimuraz Pirashvili, Topology 39, 2000, 525--530. Published version 1. $$E_\infty$$-structure for $$Q_*(R)$$, Mathematische Annalen, 316, 2000, 547--564. Published version

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

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