Overview of research

Steve Buckley
Dept of Mathematics & Statistics
NUI Maynooth

My main interests are in Algebra, Metric Geometry, and Geometric Analysis.
Algebra
Combinatorial methods in algebra (especially ring theory)
Ring commutativity conditions
Metric geometry
Gromov hyperbolicity
CAT(0) and convexity
Ptolemaic condition
Geometric analysis
Poincaré/Sobolev/Trudinger/Hardy inequalities
Quasiconformal and quasisymmetric mappings
The Heisenberg group and subriemannian geometry
Other analysis
Elliptic PDEs
Doubling measures
Muckenhoupt and reverse Hölder weights
Classical complex function theory


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