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November 2018
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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.

ResearcherInterests
Mathai VargheseDifferential geometry, Index theory and noncommutative geometry, Mathematical physics, Mathematics of string theory

Michael MurrayDifferential geometry, Gauge theory, Mathematical physics, Mathematics of string theory

Nicholas BuchdahlComplex analysis, Complex analytic and algebraic geometry, Differential geometry, Gauge theory, Mathematical physics

Danny StevensonAlgebraic topology: K-theory, Abstract homotopy theory and higher category theory, Higher geometric structures: stacks and gerbes

Susan BarwickFinite geometry, Applications of finite geometry to information security

David BaragliaDifferential Geometry, Higgs bundles and their moduli spaces, Generalized complex geometry, Mathematical physics

Thomas LeistnerDifferential geometry, Lorentzian geometry

Finnur LarussonComplex analysis, Complex analytic and algebraic geometry, Applied homotopy theory

Pedram HekmatiDifferential geometry, Index theory and noncommutative geometry, Mathematical physics, Mathematics of string theory

Hang WangIndex theory, Noncommutative geometry, KK-theory, Representation theory

Peter HochsIndex theory and noncommutative geometry, Differential geometry, Lie Theory, Geometric quantisation

Related media and events

The Differential Geometry Seminar meets regularly, with talks by local researchers and visitors.

The Institute for Geometry and its Applications organises international conferences and workshops.