John Harer

John Harer
  • Professor of Mathematics
External address: 109 Physic Bldg, Durham, NC 27708
Internal office address: Box 90320, Durham, NC 27708-0034
Phone: (919) 660-2845

Research Areas and Keywords

Biological Modeling

Gene Regulatory Networks, Network Inference

Computational Mathematics

Topological Data Analysis,
Geometric Data Analysis,
Network Dynamics,
Network Inference

Signals, Images & Data

Topological Data Analysis,
Geometric Data Analysis


Topological Data Analysis

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.

Education & Training
  • Ph.D., University of California - Berkeley 1979

  • B.A., Haverford College 1974

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

Casson, A. J., and J. L. Harer. “Some homology lens spaces which bound rational homology balls.” Pacific Journal of Mathematics, vol. 96, no. 1, Jan. 1981, pp. 23–36. Scopus, doi:10.2140/pjm.1981.96.23. Full Text

Harer, J. “On handlebody structures for hypersurfaces in ℂ3 and ℂP3.” Mathematische Annalen, vol. 238, no. 1, Feb. 1978, pp. 51–58. Scopus, doi:10.1007/BF01351453. Full Text


Former Graduate Students

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