My research interests are in Differential Geometry, especially in the interplay between Differential Geometry and Algebraic Geometry. Here're my most recent preprints.



1. On Kuiper's question whether taut submanifolds are algebraic, accepted by Pacific Journal of Mathematics 234(2008), 229-247, (electronic version), joint with Tom Cecil and Gary Jensen. pdf file

2. Isoparametric hypersurfaces with four principal curvatures revisited, preprint. pdf file


Notes.
(1) On Kuiper's conjecture pdf file

This is an expanded version of paper 1 above. More background details about real algebraic geometry, mean curvature normal, jets, and Alexander cohomology are given for more ease of reading.  


Publication