Selected Publications and Preprints.

Bachmann Henrik; Kühn Ulf; Matthes Nils: Realizations of the formal double Eisenstein space. https://arxiv.org/abs/2109.04267

Bachmann Henrik; Burmester Annika; Kühn Ulf: Relations satisfied by double q-zeta values. RIMS Kôkyûroku 2160 (2020)

Burgos Gil Jose I.; Fresan Javier; Kühn Ulf: Classical theory of multiple zeta values.
to appear in "Multiple zeta values: from numbers to motives", Clay Mathematics Proceedings by J.I. Burgos Gil and J. Fresan. MZV book

Bachmann Henrik; Kühn Ulf: A dimension conjecture for q-analogues of multiple zeta values.
"Periods in Quantum Field Theory and Arithmetic" ed. by J. Burgos, Springer PROMS vol.314 (2020)
http://xxx.uni-augsburg.de/abs/1708.07464

Kühn Ulf; Müller Jan Steffen: A geometric approach to constructing elements of K2 of curves.
http://arxiv.org/abs/1504.01755

Burgos, Jose I.; Kramer, Jürg; Kühn, Ulf: The singularities of the invariant metric on the line bundle of Jacobi forms.
in "Recent Advances in Hodge Theory (2)", ed. by Matt Kerr and Gregory Pearlstein, Cambridge Univ. Press. (2016)
http://arxiv.org/abs/1405.3075

Bachmann Henrik; Kühn Ulf: A short note on a conjecture of Okounkov about a q-analogue of multiple zeta values.
http://xxx.uni-augsburg.de/abs/1407.6796

Bachmann Henrik; Kühn Ulf: The algebra of generating functions for multiple divisor sums and applications to multiple zeta values.
Ramanujan J. 40 (2016), no. 3, http://xxx.uni-augsburg.de/abs/1309.3920

Kühn Ulf; Müller Jan Steffen: A height inequality for rational points on elliptic curves implied by the abc-conjecture.
Functiones et Approximatio Commentarii Mathematici 52 (1), 127-132, http://xxx.uni-augsburg.de/abs/1210.6543

Kühn Ulf; Müller Jan Steffen: Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces.
Trans. Amer. Math. Soc. 369 (2017) http://xxx.uni-augsburg.de/abs/1205.3274.

Berndt, Rolf; Kühn, Ulf: On Kudla's Green function, part II.
http://xxx.uni-augsburg.de/abs/1209.3949

Berndt, Rolf; Kühn, Ulf: On Kudla's Green function, part I.
http://xxx.uni-augsburg.de/abs/1205.6417

Curilla, Christian; Kühn, Ulf: On the arithmetic self-intersection numbers of the dualizing sheaf for Fermat curves of prime exponent.
http://de.arxiv.org/abs/0906.3891

Kühn, Ulf: On the arithmetic self-intersection number of the dualizing sheaf on arithmetic surfaces.
http://de.arxiv.org/abs/0906.2056

Busch, Vincenz; Kühn, Ulf; Posingies Anna: On scattering constants for a non-congruence subgroup.
http://de.arxiv.org/abs/0906.1466

Bruinier, Jan; Burgos, Jose I.; Kühn, Ulf: Borcherds products and arithmetic intersection
theory on Hilbert modular surface. Duke Math. J. Volume 139, Number 1 (2007), 1-88.
http://www.arxiv.org/abs/math.NT/0310201, rev. version 10/2005

Burgos, Jose I.; Kramer, Jürg; Kühn, Ulf: Cohomological Arithmetic Chow groups.
J. Inst. Math. Jussieu. 6 No.1, 1-178 (2007) http://www.arxiv.org/abs/math.AG/0404122

Burgos, Jose I.; Kramer, Jürg; Kühn, Ulf: Arithmetic characteristic classes of automorphic vector bundles.
Documenta Math., Vol. 10 (2005), 619-716. http://www.mathematik.uni-bielefeld.de/documenta/vol-10/19.html

Kühn, Ulf: Neron-Tate heights on algebraic curves and subgroups of
the modular group. Manuscripta Math. 116 (2005), no. 4, 401--419. NTHMrev.pdf

Kühn, Ulf: On the height conjecture for algebraic points on curves defined over number fields.
In: Number Fields and Function Fields - Two Parallel Worlds (ed. G. v.d. Geer, B. Moonen, R. Schoof).
Progress in math. 239, (2005). kuehn-heights.pdf

Kühn, Ulf: Arithmetic intersection theory on compactified Shimura varieties.
Mathematisches Institut, Seminars 2003/04 (Y. Tschinkel, ed.),
Universitätsverlag Göttingen, (2004) kuehn-goettingen.pdf

Bruinier, Jan; Kühn, Ulf: Integrals of automorphic Green's functions
associated to Heegner divisors. IMRN 31, 1687-1729 (2003) http://www.arxiv.org/abs/math.NT/0204100

Dettweiler, Michael; Kühn, Ulf; Reiter, Stefan: On Galois
Realizations via Siegel Modular Forms. Math. Res. Lett. 8.4. 577-588, (2001) siegelmodular-DKR.ps

Kühn, Ulf: Generalized arithmetic intersection numbers.
J. reine angew Math. 534, 209-236 (2001). crellekuehn.ps

Kühn, Ulfhart: Über die arithmetischen Selbstschnittzahlen zu Modulkurven und
Hilbertschen Modulflächen, Dissertation Humboldt Universität zu Berlin (1999). disskuehn.ps,

Kühn, Ulf: Generalized arithmetic intersection numbers.
C. R. Acad. Sci., Paris, Ser. I, No.3, 283-288 (1998). craskuehn.ps