John Harer
 Professor of Mathematics
Research Areas and Keywords
Biological Modeling
Gene Regulatory Networks, Network Inference
Computational Mathematics
Topological Data Analysis,
Geometric Data Analysis,
Network Dynamics,
Network Inference
Signals, Images & Data
Topological Data Analysis,
Geometric Data Analysis
Topology
Topological Data Analysis
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, cyber security, ioT, biological networks and gene expression.
Selected Grants
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 and Shape Spaces and Their Applications awarded by National Science Foundation (Principal Investigator). 2001 to 2003
Computational Geometry, Robotics, and Geographic Information Systems awarded by National Science Foundation (Principal Investigator). 1998 to 2000
The Moduli Space of Curves; Its Leveln Covers and Torelli Space awarded by National Science Foundation (Principal Investigator). 1994 to 1997
The Moduli Space of Curves, its Level n Covers and Torelli Space awarded by National Science Foundation (Principal Investigator). 1994 to 1996
The Moduli Space of Curves, its Leveln Covers and Torelli Space awarded by National Science Foundation (Principal Investigator). 1994 to 1996
Mathematical Sciences Mapping Class Group & Invariants of 3Manifolds awarded by National Science Foundation (Principal Investigator). 1992 to 1994
Pages
Turner, K., et al. “Fréchet Means for Distributions of Persistence Diagrams.” Discrete and Computational Geometry, vol. 52, no. 1, Jan. 2014, pp. 44–70. Scopus, doi:10.1007/s0045401496047. Full Text
Turner, K., et al. “Fréchet Means for Distributions of Persistence Diagrams.” Discrete & Computational Geometry, 2014. Open Access Copy
Deckard, Anastasia, et al. “Design and analysis of largescale biological rhythm studies: a comparison of algorithms for detecting periodic signals in biological data.” Bioinformatics (Oxford, England), vol. 29, no. 24, Dec. 2013, pp. 3174–80. Epmc, doi:10.1093/bioinformatics/btt541. Full Text
Topp, Christopher N., et al. “3D phenotyping and quantitative trait locus mapping identify core regions of the rice genome controlling root architecture.” Proceedings of the National Academy of Sciences of the United States of America, vol. 110, no. 18, Apr. 2013, pp. E1695–704. Epmc, doi:10.1073/pnas.1304354110. Full Text
Topp, H. F., et al. “3dimensional phenotyping of growing root systems and QTL mapping identifies core regions of the rice genome controlling root architecture.” Pnas, vol. 110, 2013, pp. E16951704.
Munch, E., et al. “Failure filtrations for fenced sensor networks.” International Journal of Robotics Research, vol. 31, no. 9, Aug. 2012, pp. 1044–56. Scopus, doi:10.1177/0278364912451671. Full Text
Galkovskyi, Taras, et al. “GiA Roots: software for the high throughput analysis of plant root system architecture.” Bmc Plant Biology, vol. 12, Jan. 2012, p. 116. Epmc, doi:10.1186/1471222912116. Full Text
Michael Jenista, W. A. “Realizing Boolean Dynamics in Switching Networks.” Siam Journal of Applied Dynamical Systems, 2012.
Bendich, Paul, et al. “Persistent Homology Enhanced Dimension Reduction.” Foundations of Computational Mathematics, 2012.
Mileyko, Y., et al. “Probability measures on the space of persistence diagrams.” Inverse Problems, vol. 27, no. 12, Dec. 2011. Scopus, doi:10.1088/02665611/27/12/124007. Full Text
Pages
Pages
Former Graduate Students

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