Homepage von Prof. Dr. Niko Naumann

  Prof. Dr. Niko Naumann
  NWF I - Mathematik
  Universität Regensburg
  Universitaetsstr. 31
  D-93040 Regensburg
  Deutschland

  Zimmer: M221
  Telefon: +49-(0)941-943-2770
  Email: niko(dot)naumann(at)mathematik(dot)uni-regensburg(dot)de

  Sekretariat:
  Frau Brigitte Lindner
  Zimmer: M226
  Telefon: +49-(0)941-943-2757
  Email: brigitte(punkt)lindner(at)mathematik.uni-regensburg.de

Mitarbeiter/innen:
PhD Luca Pol
PhD Daniel Schaeppi , M206, Tel:2761

Doktoranden/innen:

Masterstudent/innen:

Ehemalige:
PhD Veronika Ertl PhD Drew Heard
PhD Matan Prasma (former Minerva stipend)
PhD Helene Sigloch
PhD Justin Noel
PhD Nathaniel Stapelton
Felix Eberhart
PhD Oriol Raventos
PhD John Lind
Thomas M. Fiore (Humboldt-Gast)
Xu Shen Morningside Center (Beijing)
David Gepner (Purdue University)
Dr. Christian Nerf
Dr. Tobias Sitte Heidelberg
Peter Arndt

  Research

  Arithmetic Algebraic Geometry, (motivic) Homotopy Theory
  SFB 1085 Higher Invariants

Internationalisierung

Ich bin Internationalisierungsbeauftragter des Instituts und insbesondere zustaendig fuer ERASMUS-Austausche. Nuetzliche Informationen dazu finden sie , unter dem link "Auslandsstudium", hier.

Lehre siehe GRIPS

  Preprints and publications


My papers on the ArXive

The publication references below are not being updated anymore, so for Journal references, publication status etc. please use the Arxive-link.

(with Tobias Barthel and Drew Heard) On conjectures of Hovey-Strickland and Chai, 23 pp., submitted.

(with Charanya Ravi) Rigidity in equivariant algebraic K-theory, 43 pp., to appear in Annals of K-theory.

(with Tobias Barthel, Markus Hausmann, Thomas Nikolaus, Justin Noel and Nathaniel Stapleton) The Balmer spectrum of the equivariant homotopy category of a finite abelian group , 26 pp., to appear in Inventiones, online first

(with Dustin Clausen, Akhil Mathew and Justin Noel) Descent in algebraic K-theory and a conjecture of Ausoni-Rognes, 43 pp., accepted for JEMS.

(with Akhil Mathew and Justin Noel) Nilpotence and descent in equivariant stable homotopy theory, Advances in Mathematics 305 (2017) pp. 994-1084.

(with Akhil Mathew and Justin Noel) Derived induction and restriction theory , Geom. Topol. 23 (2019), no. 2, 541--636.
  
(with Johannes Sprang) p-adic interpolation and multiplicative orientations of KO and tmf, 40 pp., June 2019, Volume 292, Issue 1-2, pp 151-181. online first

(with Akhil Mathew and Justin Noel) On a nilpotence conjecture of J.P. May , J. Topol. 8 (2015), no. 4, 917--932.

(with Tyler Lawson) Strictly commutative realizations of diagrams over the Steenrod algebra and topological modular forms at the prime 2, Int. Math. Res. Notices (2014), vol 10, pp 2773-2813

(with Tyler Lawson) Commutativity conditions for truncated Brown-Peterson spectra of height 2, Journal of Topology 5 (2012) 137-168

(with Paul Arne Østvær and Markus Spitzweck) Existence and uniqueness of ${\mathcal E}_\infty$-structures on motivic $K$-theory spectra , Journal of Homotopy and related Structures, Volume 10, Issue 3 (2015), pp 333-346.

(with Uli Bunke) Secondary Invariants for String Bordism and topological modular forms, Bulletin des Sciences Mathematiques, vol. 138, Issue 8, December 2014, pp. 912--970

(with Markus Spitzweck) Brown representability in A1-homotopy theory, , J. K-Theory 7 (2011), 527--539 (special issue)

(with Annette Huber and Guido Kings) Some complements to the Lazard isomorphism, Compositio Mathematica, Volume 147 (2011), vol. 1, pp. 235-262.

(with Paul Arne Østvær and Markus Spitzweck) Chern classes, K-theory and Landweber exactness over nonregular base schemes , Conference Proceeding of S. Bloch's birthday (Fields Institute, Toronto).

(with Uli Bunke) The f-invariant and index theory, Manuscripta Mathematica 132 (2010), 365--397.

(with Paul Arne Østvær and Markus Spitzweck) Motivic Landweber Exactness, Documenta Math. 14 (2009) 551--593.

(with G. Wiese) Multiplicities of Galois representations of weight one, Algebra and Number Theory, vol. 1 (2007), no.1, 67--87.

Arithmetically defined dense subgroups of Morava stabilizer groups , Compositio Mathematica, vol. 144 (2008), no. 1, 247--270.

(with J. Hornbostel) Beta-elements and divided congruences, 25 p., Amer. J. Math., vol. 129, no. 5, October 2007

A quantitative sharpening of Moriwaki's arithmetic Bogomolov inequality, Math. Res. Lett. 12 (2005), no. 6, 877-884.

The stack of formal groups in stable homotopy theory, Advances in Math., vol. 215 (2007), no. 2, 569--600.

Algebraic independence in the Grothendieck ring of varieties, Trans. AMS 359 (2007), no 4, 1653-1683.

(with F. Baldassarri and C. Deninger) A motivic version of Pellikaan's two variable zeta function, 15 p., Diophantine Geometry Proceedings, SNS Pisa, 2007.

Representability of Aut_F and End_F, Comm. Algebra 33 (2005), no. 8, 2563--2568.

Linear relations among the values of canonical heights from the existence of non-trivial endomorphisms, Canad. Math. Bull. 47 (2004), no. 2, 271--279.

On the irreducibility of the two variable zeta-function for curves over finite fields, C. R. Math. Acad. Sci. Paris 336 (2003), no. 4, 289--292.

(with C. Diem) On the structure of Weil restrictions of abelian varieties, J. Ramanujan Math. Soc. 18 (2003), no. 2, 153--174.
Dateschutzerklaerung Impressunm