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We have 34 Mathematics PhD Projects, Programmes & Scholarships PhD Projects, Programmes & Scholarships in Birmingham
Mathematics PhD Projects, Programmes & Scholarships PhD Projects, Programmes & Scholarships in Birmingham
We have 34 Mathematics PhD Projects, Programmes & Scholarships PhD Projects, Programmes & Scholarships in Birmingham
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Neural Networks for Complex Dynamical Systems
Details. Dynamical systems are often solved/integrated by a suitable numerical discretisation method in such a way that certain properties of the underlying systems will be preserved. Read more
Mathematical modelling of cavitation development
Cavitation generation has been much of a mystery for more than a century. A core unresolved challenge is how bubble growth subject to acoustic forcing occurs over millions of cycles of oscillation, which cannot be simulated by any CFD packages. Read more
Various topics in quantitative finance, financial engineering, and financial mathematics
I have a range of studentships available for PhD students in many areas of quantitative finance, including studentships for domestic (UK) and international applicants. Read more
Algebraic groups and Lie algebras
The University of Birmingham is well-known for its research into group theory, Lie theory and representation theory. The School of Mathematics has a vibrant and productive postgraduate environment that promotes research at the highest level. Read more
Mathematical modelling of dynamics of a cloud of microbubbles for October 2023 entry
Cavitation typically takes place in a cloud of a billion microbubbles, which usually take spherical shapes due to strong surface tension. Read more
Mathematical modelling of cavitation development for October 2023 entry
Background to the Project. Cavitation generation has been much of a mystery for more than a century. A core unresolved challenge is how bubble growth subject to acoustic forcing occurs over millions of cycles of oscillation, which cannot be simulated by any CFD packages. Read more
Project title: Mathematical modelling for dynamics of encapsulated microbubbles for October 2023 entry
Background to the Project. Cancer drugs are usually toxic and kill both cancer cells and healthy ones, but typically less than 0.5% of the drug dose reaches cancer cells. Read more
Numerical Algorithms for Molecular Systems and Data Science
Details: . Stochastic differential equations (SDEs) are widely used in science and engineering in order to model systems where random effects play a significant role. Read more
Numerical Algorithms and Analysis for Deterministic and Stochastic Systems
Details. Complex systems in biology, chemistry, and physics are often modelled using ordinary/partial/stochastic differential equations. Read more
Extremal graph theory
Extremal graph theory is one of the most active and dynamic branches of combinatorics. The fundamental goal of the area is to understand what conditions force a graph to contain some substructure. Read more
Group Theory: Fusion systems
In finite group theory and in representation theory the local to global principle relates properties of certain subgroups of a group G to the structure and representation theory of G. Read more
Modular representations of tame blocks
Representations of finite groups over a field k of characteristic p are usually completely wild. While one may write a kG-module as a direct sum of indecomposable modules, Maschke's theorem no longer holds, and there are in general infinitely many indecomposable modules. Read more
Statistics for Space Weather
Space weather events can negatively effect satellites, the electricity grid, satellite navigation systems and human health. Such consequences have caused space weather to be added to the UK (amongst other nations) National Risk Register. Read more
Adjusted-range based self-normalization and its application in time series analysis
Dr. Sun, in collaboration with Professor Yongmiao Hong from the University of Chinese Academy of Sciences and Prof Oliver Linton from the University of Cambridge, is developing an innovative approach to time series analysis using adjusted-range based self-normalization. Read more
Explicitly constructing subgroups of exceptional algebraic groups
There is now a complete classification of the Lie primitive (i.e., not contained in a positive-dimensional subgroup) subgroups of the exceptional algebraic groups of types G. Read more