Geometry
Geometry lies at the core of modern mathematics with deep and wide implications
in other mathematical disciplines, pure and applied. For example, geometry is
used in cryptology, medical imaging, and physics. Geometry draws on methods from
algebra, differential equations, and topology to investigate spaces ranging from
our own 3-dimensional space to abstract spaces that can have infinitely many
dimensions. The School of Mathematical Sciences has an active group of
researchers in geometry with an international reputation.
Researcher | Interests | |
---|
Mathai Varghese [1] | Differential geometry, Index theory and noncommutative geometry, Mathematical physics, Mathematics of string theory | |
Michael Murray [2] | Differential geometry, Gauge theory, Mathematical physics, Mathematics of string theory | |
Nicholas Buchdahl [3] | Complex analysis, Complex analytic and algebraic geometry, Differential geometry, Gauge theory, Mathematical physics | |
Danny Stevenson [4] | Algebraic topology: K-theory, Abstract homotopy theory and higher category theory, Higher geometric structures: stacks and gerbes | |
Susan Barwick [5] | Finite geometry, Applications of finite geometry to information security | |
David Baraglia [6] | Differential Geometry, Higgs bundles and their moduli spaces, Generalized complex geometry, Mathematical physics | |
Thomas Leistner [7] | Differential geometry, Lorentzian geometry | |
Finnur Larusson [8] | Complex analysis, Complex analytic and algebraic geometry, Applied homotopy theory | |
Pedram Hekmati [9] | Differential geometry, Index theory and noncommutative geometry, Mathematical physics, Mathematics of string theory | |
Hang Wang [10] | Index theory, Noncommutative geometry, KK-theory, Representation theory | |
Peter Hochs [11] | Index theory and noncommutative geometry, Differential geometry, Lie Theory, Geometric quantisation | |
Related media and events
The Differential Geometry Seminar [12]
meets regularly, with talks by local researchers and visitors.
The Institute for Geometry and
its Applications [13] organises international conferences and workshops.