Books

• J.C. Jantzen, J. Schwermer, Algebra ,
  Springer-Verlag: Berlin - Heidelberg-New York 2006


• C. Goldstein, N. Schappacher, J. Schwermer (Editors): The Shaping of Arithmetic after C. F. Gauss's Disquisitiones Arithmeticae,
  Springer-Verlag: Berlin-Heidelberg - New York 2007, 594 pages.

Recent Articles

• J. Schwermer (with Ch. Waldner): On the cohomology of uniform arithmetically defined subgroups in SU^{*}(2n),
  Math. Proceedings Cambridge Philosophical Society 151 (2011), 421-440. (PDF)


• J. Schwermer (with N. Grbac): Eisenstein series, cohomology of arithmetic groups and automorphic L-functions at half integral arguments ,
  submitted. (PDF)


• J. Schwermer (with N. Grbac): An exercise in automorphic cohomology - The case GL_2 over a quaternion algebra ,
  In: Arithmetic Geometry and Automorphic Forms, Volume in honor of the 60th birthday of Stephen S. Kudla.
  Advanced Lectures in Mathematics, vol. 19, International Press and the Higher Education Press of China, Beijing, 2011, pp. 209 - 252 (PDF)


• J. Schwermer: Geometric cycles, Albert algebras and related cohomology classes for arithmetic groups ,
  Groups, Geometry, and Dynamics 5 (2011), 529-552.


• J. Schwermer (with O. Vukadin): The stable rank of arithmetic orders in division algebras - an elementary approach ,
  L'Enseignement mathematique 57 (2011), 155-163.


• J. Schwermer (with N. Grbac): On Eisenstein series and the cohomology of arithmetic groups,
  C.R. Acad. Sci. Paris, Ser. I, 348 (2010), 597-600. (PDF)


• J. Schwermer: Geometric cycles, arithmetic groups and their cohomology,
  Bulletin AMS 47 (2010), 187-279.


• J. Schwemer: Minkowski in Königsberg 1884: A talk in Lindemann's Colloquium,
  Bulletin AMS 47 (2010), 355-362.


• N. Grbac, J. Schwermer: On residual cohomology classes attached to relative rank one Eisenstein series for the symplectic group,
  to appear Int. Mathematical Research Notices. (PDF)


• J. Schwermer, T. Oda: On mixed Hodge structures of Shimura varieties attached to inner forms of the symplectic group of degree two,
  Tohoku Math. Journal 61 (2009), 83 - 113.


• J. Schwermer: The cohomological approach to cuspidal automorphic representations,
  In: Automorphic Forms and L-functions I: Global Aspects, ed. D. Ginzburg et al. Contemporary Mathematics, volume 488, American Mathematical Society: Providence, RI, 2009, pp. 257 - 287.


• Jian-shu Li, J. Schwermer: On the Cuspidal Cohomology of Arithmetic Groups,
  American Journal of Mathematics, 131 (2009), no.5, pp. 1431-1464.


• Della D. Fenster, J. Schwermer: Beyond Class Field Theory: Helmut Hasse's Arithmetic in the theory of Algebras in Early 1931,
  Archive for History of the exact sciences 61 (2007), 425 - 456.


• J. Schwermer: Reduction theory of quadratic forms: towards räumliche Anschauung in Minkowski's Early Work,
  In: The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae, ed. C. Goldstein et al., Springer: Berlin-Heidelberg-New York 2007, pp. 483 - 504.


• Della D. Fenster, J. Schwermer: Composition of Quadratic Forms: An Algebraic Perspective,
  In: The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae, ed. C. Goldstein et al., Springer: Berlin-Heidelberg-New York 2007, pp. 145 - 158.


• J. Schwermer: Special cycles and automorphic forms on arithmetically defined hyperbolic 3-manifolds,
  Asian Journal of Mathematics (Special issue in honor of Armand Borel) Vol. 8 (2004), 837-860.


• J. Schwermer: Minkowski, Hensel, and Hasse - On the beginnings of the local-global principle,
  Episodes in the history of modern algebra (1800--1950), 153--177, Hist. Math., 32, Amer. Math. Soc., Providence, RI, 2007.


• J. Schwermer, Della D. Fenster: A Delicate Collaboration: Adrian Albert and Helmut Hasse and the Principal Theorem in Division Algebras in the early 1930's,
  Archive for History of the exact sciences 59 (2005), 349-379.


• J. Schwermer, T.Hayata: On arithmetic subgroups of a Q-rank 2 form of SU(2,2) and their Automorphic Cohomology,
  Journal Mathematical Society of Japan 57 (2005), 357-385.


• J. Schwermer, J. Li: On the Eisenstein cohomology of arithmetic groups,
  Duke Math. J. 123, 141-169 (2004)