John Harer
 Professor of Mathematics
Research Areas and Keywords
Biological Modeling
Computational Mathematics
Signals, Images & Data
Topology
Professor Harer's primary research is in the use of geometric, combinatorial and computational techniques to study a variety of problems in data analysis, shape recognition, image segmentation, tracking, brain imaging, biological networks and gene expression.
Selected Grants
GEPR: Genomewide analysis of root traits awarded by National Science Foundation (CoPrincipal Investigator). 2008 to 2012
Duke on Network Security awarded by Air Force Office of Scientific Research (Principal Investigator). 2010 to 2011
Doctoral Program in Management and Analysis of Large Data Acquired from Sensors awarded by Department of Education (CoPrincipal Investigator). 2007 to 2011
TRPGR Genomic Approaches to Identify Genes for Root System Architecture Traits awarded by National Science Foundation (CoPrincipal Investigator). 2006 to 2008
Distributed multiscale geometric processing on realtime sensor networks on radiation fields awarded by National Science Foundation (CoPrincipal Investigator). 2002 to 2004
Persistence, Combinatorial Morse Functions awarded by National Science Foundation (Principal Investigator). 2001 to 2003
(980205) Computational Geometry, Robotics, and Geographic Information Systems awarded by National Science Foundation (Principal Investigator). 1998 to 2000
(961030) The Moduli Space of Curves; Its Leveln Covers and Torelli Space awarded by National Science Foundation (Principal Investigator). 1994 to 1997
(940252) The Moduli Space of Curves, its Level n Covers and Torelli Space awarded by National Science Foundation (Principal Investigator). 1994 to 1996
(950888) The Moduli Space of Curves, its Leveln Covers and Torelli Space awarded by National Science Foundation (Principal Investigator). 1994 to 1996
Pages
Perea, JA, and Harer, J. "Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis." Foundations of Computational Mathematics 15.3 (2014): 799838. Full Text
Topp, CN, IyerPascuzzi, AS, Anderson, JT, Lee, CR, Zurek, PR, Symonova, O, Zheng, Y, Bucksch, A, Mileyko, Y, Galkovskyi, T, Moore, BT, Harer, J, Edelsbrunner, H, MitchellOlds, T, Weitz, JS, and Benfey, PN. "3D phenotyping and quantitative trait locus mapping identify core regions of the rice genome controlling root architecture." Proc Natl Acad Sci U S A 110.18 (April 30, 2013): E1695E1704. Full Text
Topp, , CN, , IyerPascuzzi, AS, Anderson, JT, Lee, CR, Zurek, PR, Symonova, O, Zheng, Y, Bucksch, A, Milyeko, Y, Galkovskyi, T, Moore, BT, Harer, J, Edelsbrunner, H, MitchellOlds, T, Weitz, JS, and Benfey, PN. "3dimensional phenotyping of growing root systems and QTL mapping identifies core regions of the rice genome controlling root architecture (Submitted)." PNAS 110 (2013): E16951704.
Galkovskyi, T, Mileyko, Y, Bucksch, A, Moore, B, Symonova, O, Price, CA, Topp, CN, IyerPascuzzi, AS, Zurek, PR, Fang, S, Harer, J, Benfey, PN, and Weitz, JS. "GiA Roots: software for the high throughput analysis of plant root system architecture. (Published online)" BMC Plant Biol 12 (July 26, 2012): 116. Full Text
Michael Jenista, . "Realizing Boolean Dynamics in Switching Networks (Submitted)." Siam Journal of Applied Dynamical Systems (2012): 12. (Academic Article)
Bendich, P, Harer, J, and Harer, J. "Persistent Homology Enhanced Dimension Reduction (Submitted)." Foundations of Computational Mathematics (2012). (Academic Article)
Munch, E, Shapiro, M, and Harer, J. "Failure filtrations for fenced sensor networks." International Journal of Robotics Research 31.9 (2012): 10441056. Full Text
Deckard, A, Anafi, RC, Hogenesch, JB, Haase, SB, and Harer, J. "Design and Analysis of LargeScale Biological Rhythm Studies: A Comparison of Algorithms for Detecting Periodic Signals in Biological Data (Submitted)." PLOS Computational Biology (2012). (Academic Article)
Bini, G, and Harer, J. "Euler characteristics of moduli spaces of curves." Journal of the European Mathematical Society 13.2 (2011): 487512. Full Text
Mileyko, Y, Mukherjee, S, and Harer, J. "Probability measures on the space of persistence diagrams." Inverse Problems 27.12 (2011). Full Text
Pages
Pages
Former Graduate Students

Anne Collins (01/2002  01/2006): Configuration Spaces in Robotic Manipulation and Motion Planning