cocontinuous tensor functors) which usually correspond to constructions of schemes (resp. In this thesis we study constructions of cocomplete tensor categories (resp. constructions of Commutative Algebra, Algebraic Geometry, Geometric Modeling, Computer Aided Geometric Design and Combinatorics. This means to globalize the usual local-global algebraic geometry. Notes for prospective PhD advisees Besides teaching and research, one of the principal activities of my profession is the direction of PhD dissertations. PhD Thesis in Mathematics On the p-Laplace operator on Riemannian manifolds Date: 27th January, 2014 Author: Daniele Valtorta ID number R08513 e-mail:firstname.lastname@example.org Supervisor: Alberto Giulio Setti This thesis is available onarXiv arXiv:1212.3422v3 [math.DG] 24 Jan 2014. The algebraic geometry and mathematical physics postgraduates themselves organize a weekly reading group where they work through a set of lecture notes on a particular topic. Analysis: Pavel Kurasov, Annemarie Luger, Salvador Rodríguez-López, Sven Raum, Jonathan Rohleder, Alan Sola. Theses See some of the topics offered at RISC for a bachelor/master/PhD thesis. their morphisms) in the case of quasi-coherent sheaves. Enumeration in Algebra and Geometry by Alexander Postnikov Submitted to the Department of Mathematics on May 2, 1997, in partial fulﬁllment of the requirements for the degree of Doctor of Philosophy in Mathematics Abstract This thesis is devoted … PhD position in Algebraic Geometry (1.0 FTE) Job description Moduli spaces of sheaves on algebraic varieties have interesting applications to many fields ranging from 19th century enumerative geometry to quantum field theory (Yang-Mills theory). Algebraic geometry (or at least my take on it) is a technical subject that also requires a good deal of background in other subjects, as well as geometric intuition. In 2019/20 we are running a learning seminar on K3 surfaces. This list is not comprehensive, other topics are also possible.
The Rees algebra was introduced in the ﬁeld of Commutative Algebra in the famous paper . Algebra, Geometry and Combinatorics: Gregory Arone, Jörgen Backelin, Alexander Berglund, Jonas Bergström, Rikard Bøgvad, Wushi Goldring, Samuel Lundqvist, Dan Petersen, Sven Raum, Boris Shapiro. For this we first have to develop basic commutative algebra in an arbitrary cocomplete tensor category. Since then, it has become a central and … This page is meant to describe my process for advising PhD students, for the benefit of those considering doing a thesis under my supervision. The workhorse and main topic of this doctoral dissertation has been the study of this algebra under various situations. Current and/or potential PhD advisors are. Past topics included parts of Ravi Vakil’s Foundations of Algebraic Geometry, Robin Hartshorne’s notes on Deformation Theory and various topics from Mirror Symmetry. In case there is no suitable topic for you in the list then please contact any of the RISC Faculty directly.