John Harer

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
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, brain imaging, biological networks and gene expression.

Education & Training
  • Ph.D., University of California at Berkeley 1979

  • B.A., Haverford College 1974

Selected Grants

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

(93-0786) Mathematical Sciences Mapping Class Group & Invariants of 3-Manifolds awarded by National Science Foundation (Principal Investigator). 1992 to 1994

(92-0802) Mapping Class Group and Invariants of 3-Manifolds awarded by National Science Foundation (Principal Investigator). 1992 to 1994

Pages

Bendich, P, and Harer, J. "Persistent Intersection Homology." Foundations of Computational Mathematics 11.3 (2011): 305-336. Full Text

Bendich, P, Galkovskyi, T, and Harer, J. "Improving homology estimates with random walks." Inverse Problems 27.12 (2011). Full Text

Bini, G, and Harer, J. "Euler characteristics of moduli spaces of curves." JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 13.2 (2011): 487-512. Full Text

Iyer-Pascuzzi, AS, Symonova, O, Mileyko, Y, Hao, Y, Belcher, H, Harer, J, Weitz, JS, and Benfey, PN. "Imaging and analysis platform for automatic phenotyping and trait ranking of plant root systems." Plant Physiol 152.3 (March 2010): 1148-1157. Full Text

Cohen-Steiner, D, Edelsbrunner, H, Harer, J, and Mileyko, Y. "Lipschitz functions have Lp-stable persistence." Foundations of Computational Mathematics 10.2 (2010): 127-139. Full Text

Fink, T, Ahnert, S, Bar On, R, and Harer, J. "Exact dynamics of Boolean networks with connectivity one (Submitted)." PRL (2009). (Academic Article)

Cohen-Steiner, D, Edelsbrunner, H, and Harer, J. "Extending persistence using poincaré and lefschetz duality." Foundations of Computational Mathematics 9.1 (2009): 79-103. Full Text

Cohen-Steiner, D, Edelsbrunner, H, and Harer, J. "Extending persistence using poincaré and lefschetz duality (Foundations of Computational Mathematics DOI 10.1007/s10208-008-9027-z)." Foundations of Computational Mathematics 9.1 (2009): 133-134. Full Text

Edelsbrunner, H, and Harer, J. "The persistent Morse complex segmentation of a 3-manifold." Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 5903 LNCS (2009): 36-50. Full Text

Cohen-Steiner, D, Edelsbrunner, H, Harer, J, and Morozov, D. "Persistent homology for kernels, images, and cokernels." Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms (2009): 1011-1020.

Pages

Former Graduate Students

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