Publications of Werner Müller
Preprints

The Weyl law for congrunence subgroups and arbitrary $K_\infty$types.
[PDF]
Preprint 2023
Recent papers

Analytic torsion for arithmetic locally symmetric manifolds (with J. Matz)
[PDF]
J. Funct. Analysis 284 (2023), no.1, paper no. 109727.

Analytic torsion
[PDF]
Section in: "Isadore M. Singer (19242021) In Memoriam Part 1: Scientific Works", Notices of the AMS, October 2022, 15471563.

On Ruelle zeta functions of hyperbolic manifolds and Reidemeister torsion
[PDF]
J. Geom. Anal. 31 (2021), no. 12, 12501  12524.

Exponential growth of torsion in the cohomology of arithmetic hyperbolic
manifolds, (with F. Rochon)
[PDF]
Math. Zeitschrift 298 (2021), no. 12, 79  106.

Analytic torsion and Reidemeister torsion of hyperbolic manifolds with
cusps, (with F. Rochon)
[PDF]
Geom. Funct. Anal. 30 (2020), no. 3, 910  954.

Approximation of L^2analytic torsion for arithmetic quotients of the
symmetric space SL(n,R)/SO(n), (with J. Matz)
[PDF]
J. Inst. Math. Jussieu 9 (2020), no. 2, 307  350.

Asymptotic behavior of automorphic spectra and the trace formula, II
[PDF]
RIMS Kokyuroku 2136, "Automorphic forms, automorphic representations and related topics", Kyoto, December 2019, 112126.

Analytic torsion of arithmetic quotients of the symmetric space
SL(n,R)/SO(n), (with J. Matz)
[PDF]
Geom. Funct. Anal. 27 (2017), no. 6, 1378  1449.

Asymptotitcs of automorphic spectra and the trace formula
[PDF]
Simons Symposium "Families of Automorphic Forms and the Trace Formula", Editors: Werner Müller, Sug Woo Shin, and Nicolas Templier, SpringerVerlag, 2016, pp. 477  529.

On the analytic torsion of hyperbolic manifolds of finite volume
[PDF]
In: Geometry, Analysis, and Probability, Progress in Math. Vol. 310, Birkhäuser, 2017, pp. 165  190.

Limit multiplicities for principal congruence subgroups
of GL(n) and SL(n) (with E. Lapid and T. Finis)
[PDF]
J. Inst. Math. Jussieu 14 (2015), no. 3, 589  638.
Some older papers

Spectral theory for the WeilPetersson Laplacian on the Riemann
moduli space
(with L. Ji, R. Mazzeo, and A. Vasy)
[PDF]
Comment. Math. Helv 89 (2014), 867  894.

The analytic torsion and its asymptotic behaviour for sequences of
hyperbolic manifolds of finite volume (with J. Pfaff)
[PDF]
J. of Funct. Analysis 267 (1014), no. 8, 27312786.

On the growth of torsion in the cohomology of arithmetic
groups (with J. Pfaff)
[PDF]
Math. Ann. 359 (2014), no. 12, 537555.

The metric anomaly of analytic torsion on manifolds with conical
singularities
(with B. Vertman)
[PDF]
Comm. Partial Differential Equations 39 (2014), no. 1, 146191.

Analytic torsion and L^2torsion of compact locally symmetric manifolds
(with J. Pfaff)
[PDF]
J. Diff. Geometry 95, No. 1, (2013), 71  119.

On the torsion in the cohomology of arithmetic hyperbolic 3manifolds
(with S. Marshall)
[PDF]
Duke Math. J. 162, No. 5, (2013), 863 888.

The asymptotics of the RaySinger analytic torsion for compact hyperbolic
manifolds
(with J. Pfaff)
[PDF]
Intern. Math. Research Notices, IMRN 2013, no. 13, 29452983.

On the degrees of matrix coefficients of intertwining operators
(with T. Finis and E. Lapid)
[PDF]
Pacific Journal of Math. 260 (2012), no. 2, 433  456.

Analytic torsion of complete hyperbolic manifolds of finite volume
(with J. Pfaff)
[PDF]
J. Funct. Anal. 263 (2012), no. 9, 2615  2675.

The asymptotics of the RaySinger analytic torsion for hyperbolic 3manifolds
[PDF]
in: ``Metric and Differential Geometry'', The Jeff Cheeger Anniversary Volume, Progress in Math. Vol. 297, pp. 317  352, Birkhäuser, 2012.

On the spectral side of Arthur's trace formula  absolute convergence,
(with T. Finis and E. Lapid).
[PDF]
Annals of Math. 174 1 (2011), 173195.

A Selberg trace formula for nonunitary twists.
[PDF]
Int. Math. Res. Notices, Vol. 2011, 2068  2109.

Scattering at low energies on manifolds with cylindrical ends and stable
systols, (with A. Strohmaier).
[PDF]
GAFA 20 (2010), 741778.

The spectral side of Arthur's trace formula, (with T. Finis and E. Lapid).
[PDF]
Proc. Nat. Acad. Sci. USA 106 (2009), no. 1, 1556315566.

Spectral asymptotics for arithmetic
quotients of SL(n,R)/SO(n), (with E. Lapid).
[PDF]
Duke Math. J. 149 (2009), 117156.

Weyl's law
in the theory of automorphic forms, (survey).
[PDF]
in: Groups and Analysis, The Legacy of Hermann Weyl, Cambridge Univ. Press., 2008, 133 163.

A spectral interpretation of the zeros of
the constant term of certain Eisenstein series
[PDF]
J. Reine Angew. Math. 620 (2008), 6784.

Scattering theory
for the Laplacian on manifolds with bounded curvature, (with G. Salomonsen)
[PDF]
J. Funct. Analysis 253 (2007), 158206.

Weyl's
law for the cuspidal spectrum of SL(n).
[PDF]
Annals of Math. 165 (2007), 275333.

Regularized
determinants of Laplace
type operators, analytic surgery, and relative determinants,
(with J. Müller).
[PDF]
Duke Math. J. 133 (2006), 259312.
News
Prof. Catharina Stroppel joined the North RhineWestphalia Academy for Sciences and Arts
Hirzebruch lecture by Rahul Pandharipande on Monday, May 15, 2023
Lucas Mann recevices the Hausdorff memorial award 2021/22
Bachelor Prize 2021/22 of the BMG awarded
Prof. Daniel Huybrechts receives the Compositio Prize for the periode 20172019
Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Rajula Srivastava receives Association for Women in Mathematics Dissertation Prize
Prof. Ana Caraiani wins a New Horizons in Mathematics Prizes 2023
Pius XI Medal awarded to Professor Peter Scholze
Prof. Valentin Blomer und Prof. Georg Oberdieck erhalten ERC grants
Grants for Mathematics students from Ukraine
Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Prof. Peter Scholze elected as Foreign Member of the Royal Society
Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz
Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant