John Harer, Professor

Contact Info:

Office Location:	207 Physics Bldg
Office Phone:	(919)-660-2845
Email Address:

Teaching (Fall 2008):

• MATH 205.01, TOPOLOGY Synopsis

  Physics 205, TuTh 10:05 AM-11:20 AM

• MATH 378.02, RESEARCH IN ALGEGRAIC GEOMETRY

  Physics 235, TuTh 11:40 AM-12:55 PM

Education:

PhD	University of California, Berkeley	1979
BS	Haverford College	1974

Specialties:

Topology
Geometry
Applied Math

Research Interests: Computational Topology, Computational Geometry, Computational Biology, Algorithms

Current projects: Systems Biology, Computational Topology, Geometric Image Analysis

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, protein structure, root architecture and systems biology.

Areas of Interest:

Computational Biology
Computational Topology
Algorithms

Curriculum Vitae

Current Ph.D. Students   (Former Students)

• Michael Jenista  
• Aubrey HB  
• Paul L. Bendich  
• Rann Bar-On  

Postdocs Mentored

• Yurij Mileyko (2005/12-present)  

Recent Publications   (More Publications)

1. 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)
2. D. Cohen-Steiner, H. Edelsbrunner, J . Harer, and Yuriy Mileyko, Lipschitz functions have Lp-stable persistence, Foundations of Computational Mathematics (Submitted, 2007)  [abs]
3. D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov, Persistent Homology for Kernels and Images, Society of Computational Geometry (Submitted, 2007)  [abs]
4. P. Bendich and J. Harer, Elevation for singular spaces using persistent intersection homology (Preprint, 2007)
5. 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]

Recent Grant Support

• Duke Center for Systems Biology, NIH, 2007/07-2012/06.      
• Data Acquisition, Processing and Modeling of Morphogenesis in 4D, NSF, 0714796, 2006/07-2012/06.      
• Topological Methods for the Analysis of High-dimensional Data Sets and 3D Object Recognition, DARPA, 2005/01-2008/12.      
• STTR Phase I: Representation and Visualization of Plant Genotypic, Phenotypic,and Environmental Relationships, NSF IIP, 0637869, 2007/01-2007/12.      
• Genomic Approaches to Identify Genes for Root System Architecture Traits, NSF DBI, 0606873, 2006/08-2007/07.      
• Reference structure tomography for ubiquitous and efficient human tracking and identification, Army Research Office, 2003/09-2006/12.      
• SBIR: Advanced Computer-Aided Inspection Research, NIST Advanced Technology Program, 2003/07-2006/06.