Publications

2011

P. Bendich and J. Harer, Persistent Intersection Homology, Found. of Comp. Math., vol. 11, no. 3, (2011), pp. 305-336
L. Munch and J. Harer, Failure Filtrations (2011) (in preparation).
L. Munch and J. Harer, Persistence Methods for Relative Homology (2011) (in preparation).
Jacob Harer, T. Fink and John Harer, Stable Cycles Require Modular Networks (2011) (in preparation).
Y. Mileyko, J. Harer and S. Mukherjee, Random Persistence Homology (2011) (in preparation).
T. Galkovskiy, Y. Mileyko, J. Harer, Computational Topology Tools for Images and Point Clouds (2011) (In preparation).
M. Jenista and J. Harer, Dynamics of Switching Networks (2011) (in preparation).
P. Bendich and J. Harer, Elevation for singular spaces using persistent intersection homology (2011) (in preparation).
A . HB and J. Harer, Persistent Stiefel Whitney Classes (2011) (in preparation).

2010

T. Fink, S. Ahnert, R. Bar On and J. Harer, Exact dynamics of boolean networks with one input per node, (Submitted to Phys. Review Letters ) (2010).
M. Aziz, S. Brady, D. Orlando, A. Kuruvilla, S. Spillias, J. Dinneny, T. Long, J. Harer, U. Ohler, P. Benfey, The Effects of Parameter Selection and Clustering Algorithm Performance on High-Throughput Gene Expression Analysis, (Submitted to PLoS ONE) (2010).
A. Iyer-Pascuzzi , O. Symonova , Y. Mileyko , Y. Hao , H. Belcher , J. Harer , J. Weitz and P. Benfey, Imaging and Analysis Platform for Automatic Phenotyping and Trait Ranking of Plant Root Systems, Plant Physiology, vol. 152 (2010), pp. 1148-1157  [abs]
D. Cohen-Steiner, H. Edelsbrunner, J. Harer and Y. Mileyko., Lipschitz functions have L_p-stable persistence., Foundations of Computional Mathematics, vol. 10 no. 2 (2010), pp. 127-139 [available here]  [abs]

2009

H. Edelsbrunner and J. Harer, Computational Topology, An Introduction, American Mathematical Society, (2009) (241 pages).
D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Extending persistence using Poincare and Lefschetz duality, Found. Comput. Math., vol. p (2009), pp. 79-103, Erratum 133-134.  [abs]
H. Edelsbrunner and J. Harer, The persistent Morse complex segmentation of a 3-manifold., in 3D Physiological Human Workshop, 2009, Lecture Notes Comp. Sci., edited by N. Magnenat-Thalmann, vol. 5903 (2009), pp. 36-50, Springer-Verlag, Berlin
D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov. Persistent Homology for Kernels, Images, and Cokernels, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms (2009) pp.1011-1020.1

2008

P. Bendich, D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov., Inferring local homology from sampled stratified spaces., Proc. 48th Ann. Sympos. Found. Comput. Sci. (2008), pp. 536-546 [available here]  [abs]
H. Edelsbrunner, J. Harer, A. Mascarenhas, V. Pascucci and J. Snoeyink, Time-varying Reeb graphs for continuous space-time data., Comput. Geom. Theory Appl., vol. 41 (2008), pp. 149-166.

2007

D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Stability of persistence diagrams., Discrete Comput. Geom., vol. 37 (2007), pp. 103-120  [abs] [author's comments]
H. Edelsbrunner and J. Harer, Persistent homology --- a survey., In Twenty Years After, eds. J. E. Goodman, J. Pach and R. Pollack, American Mathematical Society. (2007)  [abs]
D. Attali, H. Edelsbrunner, J. Harer, Y. Milokov, Alpha-beta witness complexes, Proc. 10th Workshop Algor. Data Struct., Springer LNCS 4619, (2007) pp.386-397. [abs]

2006

P. K. Agarwal, H. Edelsbrunner, J. Harer and Y. Wang, Extreme elevation on a 2-manifold, Discrete Comput. Geom. 36 (2006), pp. 553-572.

2004

H. Edelsbrunner, J. Harer , V. Natarajan, V. Pascucci, Local and Global Comparison of Continuous Functions, Proc. IEEE Conf. Visualization, (2004), pp. 275-280.
H. Edelsbrunner, J. Harer, A. Mascarenhas and V. Pascucci, Time-varying Reeb graphs for continuous space-time data., Proc. 20th Ann. Sympos. Comput. Geom. (2004), pp. 366-372.
K. Cole-McLaughlin, H. Edelsbrunner, J. Harer, V. Natarajan and V. Pascucci, Loops in Reeb graphs of 2-manifolds., Discrete Comput. Geom., vol. 32 (2004), pp. 231-244.

2003

P. Agarwal, A. Collins and J. Harer, HPRM: A Hierarchical PRM, Proc. Intl. Conf. Robotics and Automation (2003)  [abs]
H. Edelsbrunner, J. Harer, V. Natarajan and V. Pascucci., Morse-Smale complexes for piecewise linear 3-manifolds., Proc. 19th Ann. Sympos. Comput. Geom. (2003), pp. 361-370.  [abs]

2002

H. Edelsbrunner and J. Harer, Jacobi sets of multiple Morse functions., Foundations of Computational Mathematics, Minneapolis, eds. F. Cucker, R. DeVore, P. Olver and E. Sueli, Cambridge Univ. Press, England, (2002), pp. 37-57  [abs]

2001

P. Agarwal, A. Collins and J. Harer, Minimal Trap Design, Proceedings of the 2001 IEEE International Conference on Robotics and Automation (ICRA), (2001)  [abs]
H. Edelsbrunner, J. Harer and A. Zomorodian, Hierarchical Morse complexes for piecewise linear 2-manifolds, Proc. 17th Sympos. Comput. Geom. 2001, 70-79.  [abs]
Goulden, I. P. and Harer, J. L. and Jackson, D. M., A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves, Trans. Amer. Math. Soc., vol. 353, no. 11, (2001) pp. 4405--4427 [MR1851176]