Homepage of Jochen Heinloth

Research interests

• Bundles on curves
• Geometric Langlands-Correspondence
• Stacks

Articles and Preprints

• The y-genus of the moduli space of PGL_n-Higgs bundles on a curve (for degree coprime to n) (with O. García-Prada, preprint pdf)
• Cohomology of the moduli stack of coherent sheaves on a curve (preprint pdf)
• On the motive of moduli spaces of chains and Higgs bundles (with O. García-Prada and A. Schmitt, preprint pdf)
• Kloosterman sheaves for reductive groups (with Ngo Bao Chau and Zhiwei Yun, preprint pdf)
• Addendum to "Semistable reduction for G-bundles on curves." (J. Alg. Geom. 19 (2010), 193-197, preprint, pdf)
• Lectures on the moduli stack of vector bundles on a curve (in: Affine Flag Manifolds and Principal Bundles, Trends in Mathematics, Birkhäser 2010, preprint, pdf)
• The bigger Brauer group and twisted sheaves. (with S. Schröer, J. Algebra 322 (2009), 1187-1195, preprint pdf)
• Uniformization of $\mathcal{G}$-bundles. (Math. Ann. 347 (3) (2010) (open access), preprint pdf, revised version September 2009)
• Bounds for Behrend's conjecture on the canonical reduction. (Int. Math. Res. Notices 2008, article ID rnn045-17, corrected preprint version pdf)
• The cohomology ring of moduli stacks of principal bundles over curves. (with A. Schmitt, Documenta Mathematica 15 (2010), preprint version pdf)
• Semistable reduction for G-bundles on curves. (pdf J. Alg. Geom. 17 (2008), 167-183)
• Twisted Chern Classes and G_m-gerbes, Comptes Rendus 341, 10 (2005), 623-626 (preliminary version pdf)
• Notes on differentiable stacks: Notes of two talks given at the Forschungsseminar Bunke-Schick, that were meant to give an introduction to differentiable stacks.(pdf), Mathematisches Institut Universität Göttingen, Seminars 2004/05 , Universitätsverlag Göttingen (2005), 1-32
• Dissertation: Coherent sheaves with parabolic structures and construction of Hecke eigensheaves for some ramified local systems (pdf), Ann. Inst. Fourier 54, 7 (2004), 2235-2325.
• Wenig verzweigte geometrische Langlands--Korrespondenz, Mathematisches Institut, Universität Göttingen, ( Seminars 2003/04 , Universitätsverlag Göttingen (2004), 127-135
• Diplomarbeit: Über den Modulstack der Vektorbündel auf Kurven (dvi)

Workshops and Seminars

• IC Seminar Functorial compactifications
• Seminar for the MRI-Masterclass 2010/2011: Introduction to stacks
• Intercity Seminar on the fundamental Lemma (following Ngo)
• Affine Flag Manifolds and Principal Bundles (September 8-12, 2008, Berlin)
• Workshop on McKay correspondence for symplectic resolutions (following Bezrukavnikov-Kaledin), January 25-26 2008

Mathematical Links

• Until recently I have been working at the Korteweg-de Vries Institute of the University of Amsterdam.
• Before I was working at the Arbeitsgruppe Esnault-Viehweg
• Before that I worked with Y. Tschinkel at Mathematisches Institut der Universität Göttingen
• My PhD advisor was G. Harder at the Universität Bonn

Last modified: 6.2.2012     Verantwortlicher: Jochen Heinloth (email: use @uni-due.de with Jochen.Heinloth)