[Mathematisches Institut] - [Universität Freiburg]
e-Mail: ulrich.derenthal@math.uni-freiburg.de
Lehre im Wintersemester 2009/2010: Seminar Zahlentheorie (Mi 11-13, SR 218)
01/2004: M.S. (Diplom) in Mathematics, Universität Göttingen. Advisor: Prof. Dr. U. Stuhler.
10/2006: Ph.D. (Dr. rer. nat.) in Mathematics, Universität Göttingen. Advisor: Prof. Dr. Yu. Tschinkel.
10/2006 - 05/2008: Postdoctoral assistant, Universität Zürich. Mentor: Prof. Dr. A. Kresch.
06/2008 - 06/2009: Lecturer, Universität Zürich (on leave fall 2008 & spring 2009).
Fall 2008: Postdoctoral research fellow, Princeton University.
Spring 2009: MSRI, Berkeley (program: Algebraic Geometry).
Since 07/2009: Juniorprofessor, Universität Freiburg.
On Manin's conjecture for a certain singular cubic surface
(with R. de la Breteche and T. D. Browning)
Annales Scientifiques de l'École Normale Supérieure 40 (2007), no. 1, pp. 1-50
[doi:10.1016/j.ansens.2006.12.002] [Preprint: arXiv:math.NT/0509370]
On a constant arising in Manin's conjecture for Del Pezzo surfaces
Mathematical Research Letters 14 (2007), no. 3, pp. 481-489
[abstract] [PDF] [Preprint: arXiv:math.NT/0702549]
Universal torsors of Del Pezzo surfaces and homogeneous spaces
Advances in Mathematics 213 (2007), no. 2, pp. 849-864
[doi:10.1016/j.aim.2007.01.012] [Preprint: arXiv:math.AG/0604195]
Universal torsors over Del Pezzo surfaces and rational points
(with Yu. Tschinkel)
in: Equidistribution in Number Theory, An Introduction - Proceedings of the NATO Advanced Study Institute on Equidistribution in Number Theory, Montreal, Canada, 11-22 July 2005. A. Granville, Z. Rudnick (Eds.) in: NATO Science Series II: Mathematics, Physics and Chemistry, Vol. 237, Springer, Dordrecht, 2007, pp. 169-196
[doi:10.1007/978-1-4020-5404-4_9] [Preprint: arXiv:math.NT/0604193]
The nef cone volume of generalized Del Pezzo surfaces (with M. Joyce and Z. Teitler)
Algebra & Number Theory 2 (2008), no. 2, pp. 157-182
[abstract] [PDF] [Preprint: arXiv:math.AG/0703202]
Counting integral points on universal torsors
International Mathematics Research Notices IMRN (2009), no. 14, pp. 2648-2699
[doi:10.1093/imrn/rnp030] [Preprint arXiv:0810.4122]
Manin's conjecture for a cubic surface with D5 singularity (with T. D. Browning)
International Mathematics Research Notices IMRN (2009), no. 14, pp. 2620-2647
[doi:10.1093/imrn/rnp029] [Preprint: arXiv:0807.4733]
Manin's conjecture for a quartic del Pezzo surface with A4 singularity (with T. D. Browning)
Annales de l'Institut Fourier 59 (2009), no. 3, pp. 1231-1265
[abstract]
[PDF]
[Preprint: arXiv:0710.1560]
Manin's conjecture for a certain singular cubic surface
[arXiv:math.NT/0504016]
Singular Del Pezzo surfaces whose universal torsors are hypersurfaces
[arXiv:math.AG/0604194]
Manin's conjecture for a quintic del Pezzo surface with A2 singularity
[arXiv:0710.1583]
The nef cone volume in degrees 3 and 4
(appendix to Manin's conjecture for quartic del Pezzo surfaces with a conic fibration by R. de la Bretèche and T. D. Browning)
[arXiv:0808.1616]
Singular del Pezzo surfaces that are equivariant compactifications (with D. Loughran)
[arXiv:0910.2717]
Diplomarbeit: Darstellungen und prinzipal-homogene Räume
[DVI]
[PS]
[PDF]
Dissertation: Geometry of universal torsors
Universität Göttingen [Electronic Dissertation]
Reviews written by myself for Mathematical Reviews of the AMS (MathSciNet)
03/2004 - University of Oxford, Number Theory Seminar: Universal torsors over cubic surfaces
08/2004 - DMV-Studierendenkonferenz, Heidelberg: Darstellungen und prinzipal-homogene Räume
02/2005 - Rice University, Houston, Computational Algebraic Geometry Seminar: Universal torsors and Cox rings of singular cubic surfaces
02/2005 - Rice University, Houston, Geometry and Analysis Seminar: Application of universal torsors to Manin's conjecture
10/2005 - Universität Tübingen: Universelle Torsore von singulären Del-Pezzo-Flächen
11/2005 - Universität Hannover, Seminar on Algebraic and Arithmetic Geometry: Manin's conjecture and universal torsors of Del Pezzo surfaces
05/2006 - MSRI, Berkeley: Universal torsors of singular Del Pezzo surfaces and rational points
05/2006 - Conference Analytic Methods for Diophantine Equations, Banff: Universal torsors over Del Pezzo surfaces and applications
12/2006 - Zurich Graduate Colloquium: What is Manin's conjecture?
02/2007 - Universität Göttingen, Kolloquium: Geometrie und Arithmetik von kubischen Flächen
07/2007 - Conference Diophantine Equations Via Analytic Number Theory, Bristol: Universal torsors of del Pezzo surfaces and Manin's conjecture
07/2007 - Conference Rational Points on Curves and Higher-Dimensional Varieties, Bremen: Singular del Pezzo Surfaces and Root Systems
10/2007 - ETH Zürich, Number Theory Seminar: Universal torsors and rational points on del Pezzo surfaces
02/2008 - University of Bristol, Heilbronn Seminar: Rational points on singular quartic del Pezzo surfaces
02/2008 - University of Oxford, Number Theory Seminar: Rational points on singular quartic del Pezzo surfaces
05/2008 - ETH Zürich: Rational points on del Pezzo surfaces
09/2008 - Princeton University, Algebraic Geometry Seminar: Rational points on cubic surfaces
10/2008 - New York University, Joint Columbia-CUNY-NYU Number Theory Seminar: Rational points on cubic surfaces
04/2009 - MSRI, Berkeley: Cox rings of cubic surfaces
04/2009 - UC Berkeley, Number Theory Seminar: Rational points on cubic surfaces
04/2009 - Universität Bonn / Max-Planck-Institut für Mathematik, Seminar Algebraic Geometry: Geometry and arithmetic of cubic surfaces
07/2009 - Workshop Cox rings, Universität Tübingen: Cox rings and rational points
10/2009 - Strasbourg, Joint Seminar in Algebraic and Complex Geometry, Freiburg--Nancy--Strasbourg: Counting rational points via universal torsors
01/2010 - Augsburg, Oberseminar: Rationale Punkte auf kubischen Flächen
Winter term 2000/2001: Exercise session Linear Algebra 1 (Universität Göttingen)
Summer term 2001: Exercise session Linear Algebra 2 (Universität Göttingen)
Summer term 2003: Exercise session Complex Analysis (Universität Göttingen)
Winter term 2004/2005: Exercise session Algebra (Universität Göttingen)
Summer 2005: Course p-adic Numbers for highschool students (Deutsche SchülerAkademie Rossleben)
Winter term 2006/2007: Assistant and exercise sessions Geometrie 1, Geometrie 2 (Universität Zürich)
Summer term 2007: Assistant and exercise session Number Theory (Universität Zürich)
Spring term 2008: Geometry and arithmetic of surfaces [overview] (Universität Zürich)
September 2008: Preparation course Grundlagen des Mathematikstudiums (Universität Zürich)
Winter term 2009/2010: Seminar Zahlentheorie (Universität Freiburg)
06/2004 - Summer school Diophantine Geometry, Göttingen
08/2004 - DMV-Tagung, Heidelberg
08/2004 - Summer school Modular Forms and their Applications, Nordfjordeid
12/2004 - Magma-Workshop, Göttingen
06/2005 - Gauss-Dirichlet-Konferenz, Göttingen
06/2005 - Summer school Algebraic groups, Göttingen
07/2005 - Summer school Equidistribution in Number Theory, Montreal
12/2005 - Winter school Algebraic, Symplectic and Arithmetic Geometry, Miami
03/2006 - Cohomological approaches to rational points, MSRI, Berkeley
05/2006 - Analytic methods for diophantine equations, BIRS, Banff
07/2006 - Summer school Arithmetic Geometry, Göttingen
10/2006 - Oberwolfach Seminar Algebraic Stacks, MFO
05/2007 - School and Conference on Analytic Number Theory, ICTP, Trieste
06/2007 - GAeL XV, Sabanci University, Istanbul
06/2007 - Summer school Higher-Dimensional Geometry over Finite Fields, Göttingen
07/2007 - Diophantine equations via analytic number theory, Bristol
07/2007 - Rational Points on Curves and Higher-Dimensional Varieties: Theory and Explicit Methods, Jacobs University Bremen
09/2007 - Summer school International Research Training Group Arithmetic and Geometry, Alpbach
12/2007 - Géométrie arithmétique et variétés rationnelles, CIRM, Luminy
05/2008 - Summer school Variétés rationnellement connexes: aspects géométriques et arithmétiques, Strasbourg
06/2008 - Geometric invariant theory, Göttingen
06/2008 - Rational Points on Curves and Higher Dimensional Varieties, Warwick
01/2009 - Classical Algebraic Geometry Today, MSRI, Berkeley
02/2009 - Modern Moduli Theory, MSRI, Berkeley
03/2009 - Combinatorial, Enumerative and Toric Geometry, , MSRI, Berkeley
05/2009 - Algebraic Geometry: Closing Lectures, MSRI, Berkeley
02/2010 - Conference on Algebraic Geometry and Arithmetic, Essen
The cubic surface with a singularity of type E6 [Details (2.8 MB)]