- 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, brain imaging, biological networks and gene expression.
Edelsbrunner, H, Harer, J, Natarajan, V, and Pascucci, V. "Morse-Smale complexes for piecewise linear 3-manifolds." Proceedings of the Annual Symposium on Computational Geometry (2003): 361-370.
Cole-McLaughlin, K, Edelsbrunner, H, Harer, J, Natarajan, V, and Pascucci, V. "Loops in Reeb graphs of 2-manifolds." Proceedings of the Annual Symposium on Computational Geometry (2003): 344-350.
Goulden, IP, Harer, JL, and Jackson, DM. "A geometric parametrization for the virtual euler characteristics of the moduli spaces of real and complex algebraic curves." Transactions of the American Mathematical Society 353.11 (2001): 4405-4427.
Agarwal, PK, Collins, AD, and Harer, JL. "Minimal trap design." Proceedings - IEEE International Conference on Robotics and Automation 3 (2001): 2243-2248.
Edelsbrunner, H, Harer, J, and Zomorodian, A. "Hierarchical Morse complexes for piecewise linear 2-manifolds." Proceedings of the Annual Symposium on Computational Geometry (2001): 70-79.
HARER, J. "THE 3RD HOMOLOGY GROUP OF THE MODULI SPACE OF CURVES." DUKE MATHEMATICAL JOURNAL 63.1 (June 1991): 25-55. Full Text
Harer, JL. "Stability of the homology of the moduli spaces of Riemann surfaces with spin structure." Mathematische Annalen 287.1 (1990): 323-334. Full Text
HARER, J, KAS, A, and KIRBY, R. "HANDLEBODY STRUCTURES FOR COMPLEX-SURFACES." MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 62.350 (July 1986): 1-102.
HARER, J. "The virtual cohomological dimension of the mapping class group of an orientable surface." Invent. Math. 84 (1986): 157-176. Full Text
Harer, J, and Zagier, D. "The Euler characteristic of the moduli space of curves." Inventiones Mathematicae 85.3 (1986): 457-485. Full Text