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Dr S Theriault
Applications accepted all year round
Competition Funded PhD Project (Students Worldwide)
About the Project
Gauge groups are objects of fundamental importance to
modern physics as they describe the dynamics of elementary particles.
They are also of major importance in geometry as they are used to help
distinguish between different diffeomorphism structures on manifolds.
It is now recognised that much crucial information about
gauge groups is topological in nature, and a great deal of work has
been done to access this information by using tools from algebraic
topology and homotopy theory.
This project builds on an established stream of research which aims
to distinguish (count) the distinct homotopy types of gauge groups. This
could take the form of determining the exact number of distinct gauge
groups for specific examples; determining upper and lower bounds on
the number of gauge groups in more general settings; or using
decomposition methods from homotopy theory to ascertain deeper
structural properties of gauge groups.
Students applying for this project should have a good knowledge of
algebra and point-set topology; some background in algebraic topology
would be advantageous.
modern physics as they describe the dynamics of elementary particles.
They are also of major importance in geometry as they are used to help
distinguish between different diffeomorphism structures on manifolds.
It is now recognised that much crucial information about
gauge groups is topological in nature, and a great deal of work has
been done to access this information by using tools from algebraic
topology and homotopy theory.
This project builds on an established stream of research which aims
to distinguish (count) the distinct homotopy types of gauge groups. This
could take the form of determining the exact number of distinct gauge
groups for specific examples; determining upper and lower bounds on
the number of gauge groups in more general settings; or using
decomposition methods from homotopy theory to ascertain deeper
structural properties of gauge groups.
Students applying for this project should have a good knowledge of
algebra and point-set topology; some background in algebraic topology
would be advantageous.
Funding Notes
Applications can be submitted at any time, but you are
encouraged to apply as early as possible in the calendar year. Allocation
of studentships starts in February and runs until mid-Summer. An early
application increases your chances of being funded.
encouraged to apply as early as possible in the calendar year. Allocation
of studentships starts in February and runs until mid-Summer. An early
application increases your chances of being funded.
