Mathematisch-Naturwissenschaftliche Fakultät: Suche
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Supersymmetric methods in random matrix theory
(2021-12-02)
Randomness and chaos are key ingredients in the description of nature and are therefore central elements in mathematics and physics. A conducting metal becomes an insulator if there are enough random defects in its structure. ...
G-Global Algebraic K-Theory
(2021-11-09)
We develop the foundations of G-global homotopy theory as a synthesis of classical equivariant homotopy theory on the one hand and global homotopy theory in the sense of Schwede on the other hand. Using this framework, we ...
Global Timing Optimization in Chip Design
(2021-04-12)
In this thesis, we aim at solving the interconnect optimization problem comprehensively. By balancing global timing, routing, placement, and power constraints in a global model, we obtain solutions which outperform the ...
Geometric and topological recursion and invariants of the moduli space of curves
(2021-10-29)
A thread common to many problems of enumeration of surfaces is the idea that complicated cases can be recovered from simpler ones through a recursive procedure. Solving the problem for the simplest topologies and expressing ...
Dynamics for the Random Cluster Model
(2021-08-20)
The random cluster model is a statistical model on random graph structures. It can also be thought of as a unification of the percolation model, the Ising model and the q-state Potts models. To simulate such models, the ...
Long-timescale atomistic simulations
(2021-03-31)
The simulation and analysis of particle systems dynamics is an important subfield of computational materials science. It allows the investigation of many properties of interest, such as reaction mechanisms, diffusion rates, ...
Vertex Algebras and Factorization Algebras
(2021-07-19)
This thesis is about the relationship between vertex algebras and Costello-Gwilliam factorization algebras, two mathematical approaches to chiral conformal field theory. Many vertex algebras have already been constructed. ......
Embeddings of groups rings and L2-invariants
(2021-06-02)
The strong Atiyah conjecture for a group G, which restricts the possible values taken by L2-Betti numbers of G-CW-complexes, implies far-reaching structural statements about a canonical *-regular ring RℚG, ...
Hyperbolic and dispersive singular stochastic PDEs
(2021-07-19)
The purpose of this thesis is to analyse nonlinear Schrödinger and wave equations which have been perturbed by a singular stochastic potential. The tools are, on the one hand, paracontrolled calculus, and, on the other ...
On steady Kähler-Ricci solitons
(2021-08-26)
In this thesis we study the existence and uniqueness of steady Kähler-Ricci solitons. We consider two classes of manifolds on which we obtain new examples of steady solitons by using different methods for each class. In ...