# Department of Pure Mathematics and Mathematical Statistics

Professor of Mathematics

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

## Publications

Curvature estimates and sheeting theorems for weakly stable CMC hypersurfaces
C Bellettini, O Chodosh, N Wickramasekera
(2019)
352,
133
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
(2014)
19,
231
A general regularity theory for stable codimension 1 integral varifolds
N Wickramasekera
– Annals of Mathematics
(2014)
179,
843
Fine properties of branch point singularities: Two-valued harmonic functions
B Krummel, N Wickramasekera
– arXiv:1311.0923
A sharp strong maximum principle and a sharp unique continuation theorem for singular minimal hypersurfaces
N Wickramasekera
– Calculus of Variations and Partial Differential Equations
(2014)
51,
799
Stable phase interfaces in the van der Waals–Cahn–Hilliard theory
Y Tonegawa, N Wickramasekera
– Journal für die reine und angewandte Mathematik
(2012)
668,
191
A regularity and compactness theory for immersed stable minimal hypersurfaces of multiplicity at most 2
N Wickramasekera
– J DIFFER GEOM
(2008)
80,
79
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