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Faculty of Mathematics

 

Professor of Mathematics

Research Interests: Geometric measure theory, partial differential equations, differential geometry

Publications

A general regularity theory for stable codimension 1 integral varifolds
N Wickramasekera
– Annals of Mathematics
(2014)
179,
843
A sharp strong maximum principle and a sharp unique continuation theorem for singular minimal hypersurfaces
N Wickramasekera
– Calculus of Variations and Partial Differential Equations
(2013)
51,
799
Fine properties of branch point singularities: Two-valued harmonic functions
B Krummel, N Wickramasekera
– arXiv:1311.0923
(2013)
Stable phase interfaces in the van der Waals–Cahn–Hilliard theory
Y Tonegawa, N Wickramasekera
– Journal für die reine und angewandte Mathematik (Crelles Journal)
(2011)
2012,
191
A regularity and compactness theory for immersed stable minimal hypersurfaces of multiplicity at most 2
N Wickramasekera
– J DIFFER GEOM
(2008)
80,
79
Existence and regularity of stable branched minimal hypersurfaces
N Wickramasekera
– Pure and Applied Mathematics Quarterly
(2007)
3,
569
Stable branched minimal immersions with prescribed boundary
L Simon, N Wickramasekera
– JOURNAL OF DIFFERENTIAL GEOMETRY
(2007)
75,
143
On the singularities and a Bernstein property of immersed stable minimal hypersurfaces
N Wickramasekera
– Calculus of Variations
(2005)
22,
1
A rigidity theorem for stable minimal hypercones
N Wickramasekera
– J DIFFER GEOM
(2004)
68,
433
Regularity of minimal and CMC stable hypersurfaces: a brief overview
N Wickramasekera
– Advanced Studies in Pure Mathematics, Vol 85
85,
491
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Research Group

Analysis & Partial Differential Equations

Room

E1.11

Telephone

01223 764286