- Professor of Mathematics
Research Areas and Keywords
Signals, Images & Data
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.
(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
Bendich, Paul, et al. “Persistent Homology Enhanced Dimension Reduction.” Foundations of Computational Mathematics, 2012.
Galkovskyi, Taras, et al. “GiA Roots: software for the high throughput analysis of plant root system architecture..” Bmc Plant Biology, vol. 12, Jan. 2012. Epmc, doi:10.1186/1471-2229-12-116. Full Text
Mileyko, Y., et al. “Probability measures on the space of persistence diagrams.” Inverse Problems, vol. 27, no. 12, Dec. 2011. Scopus, doi:10.1088/0266-5611/27/12/124007. Full Text
Bini, Gilberto, and John Harer. “Euler characteristics of moduli spaces of curves.” Journal of the European Mathematical Society, European Mathematical Society Publishing House, 2011, pp. 487–512. Crossref, doi:10.4171/jems/259. Full Text
Cohen-Steiner, D., et al. “Lipschitz functions have Lp-stable persistence.” Foundations of Computational Mathematics, vol. 10, no. 2, Apr. 2010, pp. 127–39. Scopus, doi:10.1007/s10208-010-9060-6. Full Text
Iyer-Pascuzzi, Anjali S., et al. “Imaging and analysis platform for automatic phenotyping and trait ranking of plant root systems..” Plant Physiology, vol. 152, no. 3, Mar. 2010, pp. 1148–57. Epmc, doi:10.1104/pp.109.150748. Full Text
Edelsbrunner, H., and J. Harer. “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), vol. 5903 LNCS, Dec. 2009, pp. 36–50. Scopus, doi:10.1007/978-3-642-10470-1_4. Full Text
Cohen-Steiner, D., et al. “Persistent homology for kernels, images, and cokernels.” Proceedings of the Annual Acm Siam Symposium on Discrete Algorithms, Sept. 2009, pp. 1011–20.