# 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:
PhD Veronika Ertl , M002 A, Tel: 2669
PhD John Lind , BIO 1.1.02, Tel: 5811
PhD Justin Noel , M206, Tel: 2761
PhD Oriol Raventos , bio 5.2.37 (Building Bio 5, 2nd floor), Tel: 5812
Dipl.-Math. Peter Arndt , M115, Tel: 2793

Doktoranden:
K. van Woerden (joint supervision with J. Noel), bio 2.2.05, Tel: 5810.
N. Rostayar

Masterstudenten:
F. Eberhart
C. Weigert

Ehemalige:
Xu Shen Morningside Center (Beijing)
David Gepner (Purdue University)
Dr. Christian Nerf
Dr. Tobias Sitte Heidelberg

### Research

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

### Internationalisierung

Ich bin Internationalisierungsbeauftragter des Instituts und insbesondere zustaendig fuer ERASMUS-Austausche.

### Lehre

WS15/16 : Lineare Algebra I (s. GRIPS-Seiten)

### Preprints and publications

(with Akhil Mathew and Justin Noel) Nilpotence and descent in equivariant stable homotopy theory, 62 pp, submitted.

(with Akhil Mathew and Justin Noel) Derived induction and restriction theory, 53 pp, submitted.

(with Johannes Sprang) p-adic interpolation and multiplicative orientations of KO and tmf, Preprint, 40 pp.

(with Akhil Mathew and Justin Noel) On a nilpotence conjecture of J.P. May , Journal of Topology (2015)

(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.
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