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Dr. Holger P. Kley:   Research


I began my mathematical research in algebraic geometry.  Mostly, I have been studied curves on higher-dimensional varieties, including the theory of Gromov-Witten invariants and related questions of rigidity.   More recently I have begun to explore applications of geometry to the analysis of large, high-dimensional data sets.

  

Articles in Algebraic Geometry
Rigid curves in complete intersection Calabi-Yau threefolds Compositio Math, 123 (2000), 185--208
Counting curves which move with threefolds (with H. Clemens) J. of Algebraic Geom., 9 (2000), no. 1, 175--200
On curves in K-trivial threefolds
On an example of Voisin (with H. Clemens) Michigan Math. J., 48 (2000), 93--119
New recursions for genus zero Gromov-Witten invariants (with A. Bertram) Topology
Volume 44, Issue 1 , January 2005, Pages 1-24
Petersen arrangements and a surface with multiple 7-secants (with H. Abo and C. Peterson) submitted

 

Articles in Geometric Data Analysis
Illumination face spaces are idiosyncratic (with J.-M. Chang, R. Beveridge, B. Draper, M. Kirby and C. Peterson) IPCV '06, 2:  390–396, 2006.
Examples of set-to-set image classification (with J.-M. Chang, R. Beveridge, B. Draper, M. Kirby and C. Peterson) 7th International Conference on Mathematics in Signal Processing Conference Digest, pp. 102–105,2006.
Recognition of digital images of the human face at ultra-low resolution via illumination spaces (with J.-M. Chang, R. Beveridge, B. Draper, M. Kirby and C. Peterson) submitted


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