- 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.
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. “Morse-Smale complexes for piecewise linear 3-manifolds.” Proceedings of the Annual Symposium on Computational Geometry, July 2003, pp. 361–70.
Cole-McLaughlin, K., et al. “Loops in Reeb graphs of 2-manifolds.” Proceedings of the Annual Symposium on Computational Geometry, July 2003, pp. 344–50.
Edelsbrunner, H., et al. “Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds.” Discrete and Computational Geometry, vol. 30, no. 1, Jan. 2003, pp. 87–107. Scopus, doi:10.1007/s00454-003-2926-5. 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.
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