Address: |
Hausdorff Center for Mathematics Villa Maria Endenicher Allee 62 53115 Bonn Germany |
Phone: | +49 228 73 62225 |
Email: | dyckerho AT math.uni-bonn.de |
Office hours: | by appointment |
higher structures in algebra and geometry, mathematical physics
Current members
Former members
A categorified Dold-Kan correspondence
Preprint:
arXiv:1710.08356
Topological K-theory of Equivariant Singularity Categories (with M. Brown)
Preprint:
arXiv:1611.01931 (submitted)
Relative Calabi-Yau structures (with C. Brav)
Preprint:
arXiv:1606.00619 (submitted)
A1-homotopy invariants of topological Fukaya categories of surfaces
Compositio Mathematica, Volume 153, Issue 8 (2017)
(arXiv:1505.06941)
Higher categorical aspects of Hall algebras
Birkhäuser, Advanced Courses in Mathematics, CRM, ISBN 978-3-319-70157-8
(arXiv:1505.06940)
Crossed simplicial groups and structured surfaces (with M. Kapranov)
Stacks and categories in geometry, topology, and algebra, 37–110, Contemp. Math., 643, Amer.
Math. Soc., Providence, RI, 2015
(arXiv:1403.5799)
Higher Segal Spaces: Part II (with M. Kapranov)
In preparation.
Triangulated surfaces in triangulated categories (with M. Kapranov)
Journal of the EMS, Volume 20, Issue 6, 2018, pp. 1473–1524
(arXiv:1306.2545)
Higher Segal Spaces: Part I (with M. Kapranov)
Preprint: arXiv:1212.3563 (publication agreement with Springer Lecture Notes)
Pushing forward matrix factorisations (with D. Murfet)
Duke Math. J. Volume 162, Number 7 (2013), 1249-1311
(arXiv:1102.2957)
The Kapustin-Li formula revisited (with D. Murfet)
Advances in Mathematics 231 (2012), pp. 1858-1885
(arXiv:1004.0687)
Compact generators in categories of matrix factorizations
Duke Math. J. Volume 159, Number 2 (2011), 223-274
(arXiv:0904.4713)
The inverse problem of differential Galois theory over the field R(z)
Mathematisches Forschungsinstitut Oberwolfach Report No. 26/2007
(Preprint:
arXiv:0802.2897)
Picard-Vessiot extensions over number fields (Diplom thesis)
ICM Satellite Conference on homological mirror symmetry and symplectic topology, POSTEC, Korea (August 2014)
DFG Jahrestagung Darstellungstheorie, Soltau (March 2014)
Matrix Factorizations in Algebra, Geometry and Physics, Oberwolfach Workshop (September 2013)
AGNES Workshop, Yale (April 2013)
MSRI Workshop on Representation Theory, Homological Algebra, and Free Resolutions, Berkeley (February 2013)
Topology Seminar, Stanford University (January 2013)
Conference on "Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra", Luminy, France (July 2012)
VIGRE Summer School on Algebraic Geometry, Working group leader on mirror symmetry, Athens, Georgia (May 2012)
PASI conference on "Commutative Algebra and Its Interactions with Algebraic Geometry, Representation Theory, and Physics", Guanajuato, Mexico (May 2012)
Indiana University, Bloomington (Nov 2011)
Steklov Institute, Moscow, Conference on Derived Categories in Algebraic Geometry (Sep 2011)
Universität Hannover (Jan 2011)
Universität Wien (Jan 2011)
Universität Bielefeld (Jan 2011)
Universität Hamburg (Jan 2011)
Ludwig-Maximilians-Universität München (Jan 2011)
Osaka University, Mini Workshop on Mirror Symmetry of Singularities (Nov 2010)
University of Miami, Workshop on Homological Mirror Symmetry and Related Topics (Jan 2010)
University of Toronto, Homological Algebraic Geometry Seminar (Dec 2009)
Columbia University, Algebraic Geometry Seminar (Nov 2009)
University of Wisconsin-Madison, Algebraic Geometry Seminar (Nov 2009)
GTEM Workshop on Constructive Galois Theory (Feb 2008)
Title: Tutorial on differential Galois theory
Slides:
MF Oberwolfach: Arithmetic and Differential Galois Groups (May 2007)
Title: The inverse problem of differential Galois theory over the field R(z)
Extended abstract: Oberwolfach Report No. 26/2007
Kolchin Seminar in Differential Algebra (Dec 2005)
Title: Picard-Vessiot theory over non-algebraically closed fields of constants