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Department of Pure Mathematics and Mathematical Statistics

Professor of Mathematics

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

Publications

Fine properties of branch point singularities: stationary two-valued graphs and stable minimal hypersurfaces near points of density $< 3$
B Krummel, N Wickramasekera
(2021)
A Structure Theory for Stable Codimension 1 Integral Varifolds with Applications to Area Minimising Hypersurfaces mod p
P Minter, N Wickramasekera
(2021)
Stable prescribed-mean-curvature integral varifolds of codimension 1: regularity and compactness
C Bellettini, N Wickramasekera
(2019)
Curvature estimates and sheeting theorems for weakly stable CMC hypersurfaces
C Bellettini, O Chodosh, N Wickramasekera
– Advances in Mathematics
(2018)
352,
133
Stable CMC integral varifolds of codimension $1$: regularity and compactness
C Bellettini, N Wickramasekera
(2018)
Fine properties of branch point singularities: Dirichlet energy minimizing multi-valued functions
B Krummel, N Wickramasekera
(2017)
Regularity and compactness for stable codimension $1$ CMC varifolds
N Wickramasekera
– Current Developments in Mathematics
(2017)
2017,
87
A Frequency Function and Singular Set Bounds for Branched Minimal Immersions
L Simon, N Wickramasekera
– Communications on Pure and Applied Mathematics
(2016)
69,
1213
The Blow Up Method for Brakke Flows: Networks Near Triple Junctions
Y Tonegawa, N Wickramasekera
– Archive for Rational Mechanics and Analysis
(2016)
221,
1161
Regularity of stable minimal hypersurfaces: Recent advances in the theory and applications
N Wickramasekera
– Journal of Differential Geometry
(2015)
19,
231
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Room

E1.11

Telephone

01223 764286