- 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.
Casson, A, and Harer, J. "Some homology lens spaces which bound rational homology balls." Pacific Journal of Mathematics 96.1 (September 1, 1981): 23-36. Full Text
Harer, J. "On handlebody structures for hypersurfaces in ℂ3 and ℂP3." Mathematische Annalen 238.1 (1978): 51-58. Full Text
Perea, J, and Harer, J. "Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis."
Bern, M, Eppstein, D, Agarwal, PK, Amenta, N, Chew, P, Dey, T, Dobkin, DP, Edelsbrunner, H, Grimm, C, Guibas, LJ, Harer, J, Hass, J, Hicks, A, Johnson, CK, Lerman, G, Letscher, D, Plassmann, P, Sedgwick, E, Snoeyink, J, Weeks, J, Yap, C, and Zorin, D. "Emerging Challenges in Computational Topology."
Turner, K, Mileyko, Y, Mukherjee, S, and Harer, J. "Fréchet Means for Distributions of Persistence diagrams." Open Access Copy
Munch, E, Turner, K, Bendich, P, Mukherjee, S, Mattingly, J, and Harer, J. "Probabilistic Fréchet Means for Time Varying Persistence Diagrams." Full Text Open Access Copy