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.
Collins, A. D., et al. “HPRM: A hierarchical PRM.” Proceedings Ieee International Conference on Robotics and Automation, vol. 3, Dec. 2003, pp. 4433–38.
Edelsbrunner, H., et al. “MorseSmale complexes for piecewise linear 3manifolds.” Proceedings of the Annual Symposium on Computational Geometry, July 2003, pp. 361–70.
ColeMcLaughlin, K., et al. “Loops in Reeb graphs of 2manifolds.” Proceedings of the Annual Symposium on Computational Geometry, July 2003, pp. 344–50.
Edelsbrunner, H., et al. “Hierarchical MorseSmale complexes for piecewise linear 2manifolds.” Discrete and Computational Geometry, vol. 30, no. 1, Jan. 2003, pp. 87–107. Scopus, doi:10.1007/s0045400329265. Full Text
Goulden, I. P., et al. “A geometric parametrization for the virtual euler characteristics of the moduli spaces of real and complex algebraic curves.” Transactions of the American Mathematical Society, vol. 353, no. 11, Dec. 2001, pp. 4405–27.
Agarwal, P. K., et al. “Minimal trap design.” Proceedings Ieee International Conference on Robotics and Automation, vol. 3, Jan. 2001, pp. 2243–48. Scopus, doi:10.1109/ROBOT.2001.932956. Full Text
Edelsbrunner, H., et al. “Hierarchical Morse complexes for piecewise linear 2manifolds.” 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/S0012709491063027. 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
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Former Graduate Students

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