# John Harer

- Professor of Mathematics

**External address:**109 Physic Bldg, Durham, NC 27708

**Internal office address:**Box 90320, Durham, NC 27708-0034

**Phone:**(919) 660-2845

### 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: Genome-wide analysis of root traits awarded by National Science Foundation (Co-Principal 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 (Co-Principal Investigator). 2007 to 2011

TRPGR Genomic Approaches to Identify Genes for Root System Architecture Traits awarded by National Science Foundation (Co-Principal Investigator). 2006 to 2008

Distributed multiscale geometric processing on real-time sensor networks on radiation fields awarded by National Science Foundation (Co-Principal Investigator). 2002 to 2004

Persistence, Combinatorial Morse Functions awarded by National Science Foundation (Principal Investigator). 2001 to 2003

(98-0205) Computational Geometry, Robotics, and Geographic Information Systems awarded by National Science Foundation (Principal Investigator). 1998 to 2000

(96-1030) The Moduli Space of Curves; Its Level-n Covers and Torelli Space awarded by National Science Foundation (Principal Investigator). 1994 to 1997

(95-0888) The Moduli Space of Curves, its Level-n Covers and Torelli Space awarded by National Science Foundation (Principal Investigator). 1994 to 1996

(94-0252) The Moduli Space of Curves, its Level n 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): 799-838.
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Topp, CN, Iyer-Pascuzzi, AS, Anderson, JT, Lee, C-R, Zurek, PR, Symonova, O, Zheng, Y, Bucksch, A, Mileyko, Y, Galkovskyi, T, Moore, BT, Harer, J, Edelsbrunner, H, Mitchell-Olds, 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): E1695-E1704.
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Topp, , CN, , Iyer-Pascuzzi, AS, Anderson, JT, Lee, C-R, Zurek, PR, Symonova, O, Zheng, Y, Bucksch, A, Milyeko, Y, Galkovskyi, T, Moore, BT, Harer, J, Edelsbrunner, H, Mitchell-Olds, T, Weitz, JS, and Benfey, PN. "3-dimensional phenotyping of growing root systems and QTL mapping identifies core regions of the rice genome controlling root architecture (Submitted)." *PNAS* 110 (2013): E1695-1704.

Galkovskyi, T, Mileyko, Y, Bucksch, A, Moore, B, Symonova, O, Price, CA, Topp, CN, Iyer-Pascuzzi, 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-.
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Deckard, A, Anafi, RC, Hogenesch, JB, Haase, SB, and Harer, J. "Design and Analysis of Large-Scale Biological Rhythm Studies: A Comparison of Algorithms for Detecting Periodic Signals in Biological Data (Submitted)." *PLOS Computational Biology* (2012). (Academic Article)

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): 1044-1056.
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Bini, G, and Harer, J. "Euler characteristics of moduli spaces of curves." *JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY* 13.2 (2011): 487-512.
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Bini, G, and Harer, J. "Euler characteristics of moduli spaces of curves." *Journal of the European Mathematical Society* 13.2 (2011): 487-512.
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