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, cyber security, ioT, biological networks and gene expression.
Edelsbrunner, H., et al. “Hierarchical Morse complexes for piecewise linear 2-manifolds.” Proceedings of the Annual Symposium on Computational Geometry, Jan. 2001, pp. 70–79.
Bern, Marshall W., et al. “Emerging Challenges in Computational Topology.” Corr, vol. cs.CG/9909001, 1999.
Harer, J. “The third homology group of the moduli space of curves.” Duke Mathematical Journal, vol. 63, no. 1, Jan. 1991, pp. 25–55. Scopus, doi:10.1215/S0012-7094-91-06302-7. Full Text
Harer, J. L. “Stability of the homology of the moduli spaces of Riemann surfaces with spin structure.” Mathematische Annalen, vol. 287, no. 1, Mar. 1990, pp. 323–34. Scopus, doi:10.1007/BF01446896. Full Text
Harer, J., and D. Zagier. “The Euler characteristic of the moduli space of curves.” Inventiones Mathematicae, vol. 85, no. 3, Oct. 1986, pp. 457–85. Scopus, doi:10.1007/BF01390325. Full Text
HARER, J., et al. “HANDLEBODY STRUCTURES FOR COMPLEX-SURFACES.” Memoirs of the American Mathematical Society, vol. 62, no. 350, July 1986, pp. 1–102.
Harer, J. L. “The virtual cohomological dimension of the mapping class group of an orientable surface.” Inventiones Mathematicae, vol. 84, no. 1, Feb. 1986, pp. 157–76. Scopus, doi:10.1007/BF01388737. Full Text
Harer, J. “The second homology group of the mapping class group of an orientable surface.” Inventiones Mathematicae, vol. 72, no. 2, June 1983, pp. 221–39. Scopus, doi:10.1007/BF01389321. Full Text
Harer, John. “Representing elements of π1M3 by fibred knots.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 92, no. 1, Cambridge University Press (CUP), July 1982, pp. 133–38. Crossref, doi:10.1017/s030500410005979x. Full Text
Harer, J. “How to construct all fibered knots and links.” Topology, vol. 21, no. 3, Jan. 1982, pp. 263–80. Scopus, doi:10.1016/0040-9383(82)90009-X. Full Text
Pages
Pages
Former Graduate Students
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Anne Collins (01/2002 - 01/2006): Configuration Spaces in Robotic Manipulation and Motion Planning