Research Interests for John Harer
Research Interests: Computational Topology, Computational Geometry, Computational Biology, Algorithms
Professor Harer's primary research is in the use of geometric, combinatorial and computational techniques to study a variety of problems in shape recognition, image segmentation, plant root architecture, biological networks and gene expression.
- Current projects:
- Systems Biology
- Computational Topology
- Geometric Image Analysis
- Areas of Interest:
- Computational Biology
Computational Topology
Algorithms
- Recent Publications
- P. Bendich, D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov, Inferring Local Homology from Sampled Stratified Spaces,
Foundations of Computational Science
(Accepted, 2007)
- D. Cohen-Steiner, H. Edelsbrunner, J . Harer, and Yuriy Mileyko, Lipschitz functions have Lp-stable persistence,
Foundations of Computational Mathematics
(Submitted, 2007) [abs]
- D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov, Persistent Homology for Kernels and Images,
Society of Computational Geometry
(Submitted, 2007) [abs]
- P. Bendich and J. Harer, Elevation for singular spaces using persistent intersection homology
(Preprint, 2007)
- D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Stability of persistence diagrams.,
Discrete Comput. Geom., vol. 37
(2007),
pp. 103-120 [abs] [author's comments]