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
(950888) The Moduli Space of Curves, its Leveln Covers and Torelli Space awarded by National Science Foundation (Principal Investigator). 1994 to 1996
(930786) Mathematical Sciences Mapping Class Group & Invariants of 3Manifolds awarded by National Science Foundation (Principal Investigator). 1992 to 1994
(920802) Mapping Class Group and Invariants of 3Manifolds awarded by National Science Foundation (Principal Investigator). 1992 to 1994
Pages
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Bendich, P, and Harer, J. "Persistent Intersection Homology." Foundations of Computational Mathematics 11.3 (2011): 305336. 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): 487512. Full Text
IyerPascuzzi, 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): 11481157. Full Text
CohenSteiner, D, Edelsbrunner, H, Harer, J, and Mileyko, Y. "Lipschitz functions have Lpstable persistence." Foundations of Computational Mathematics 10.2 (2010): 127139. 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)
CohenSteiner, D, Edelsbrunner, H, and Harer, J. "Extending persistence using poincaré and lefschetz duality." Foundations of Computational Mathematics 9.1 (2009): 79103. Full Text
CohenSteiner, D, Edelsbrunner, H, and Harer, J. "Extending persistence using poincaré and lefschetz duality (Foundations of Computational Mathematics DOI 10.1007/s102080089027z)." Foundations of Computational Mathematics 9.1 (2009): 133134. Full Text
Edelsbrunner, H, and Harer, J. "The persistent Morse complex segmentation of a 3manifold." Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 5903 LNCS (2009): 3650. Full Text
CohenSteiner, D, Edelsbrunner, H, Harer, J, and Morozov, D. "Persistent homology for kernels, images, and cokernels." Proceedings of the Annual ACMSIAM Symposium on Discrete Algorithms (2009): 10111020.
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Former Graduate Students

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