Publications of John Harer

Books

  1. H. Edelsbrunner and J. Harer, Computational Topology, An Introduction (January 13, 2010), American Mathematical Society, ISBN 0-8218-4925-5 (http://www.ams.org/bookstore-getitem/item=mbk-69.)
  2. Penner, R. C. and Harer, J. L., Combinatorics of train tracks, pp. xii+216, 1992, Princeton University Press, Princeton, NJ

Papers Published

  1. with Yuriy Mileyko, Sayan Mukherjee, Probability measures on the space of persistence diagrams, Journal of Inverse Problems, vol. 27 no. 12 (2011), pp. 25
  2. with Paul Bendich, Taras Galkovskyi, Improving Homology Estimates with Random Walks, Journal of Inverse Problems, vol. 27 no. 12 (2011), pp. 16
  3. with Anjali S. Iyer-Pascuzzi, Christopher N. Topp, Jill T. Anderson, Cheng-Ruei Lee, Olga Symonova, Yuriy Mileyko, Taras Galkovsky, Ying Zheng, Randy Clark, Leon Kochian, Herbert Edelsbrunner, Joshua S. Weitz, Thomas Mitchell-Olds and Philip N. Benfey, Quantitative Genetic Analysis of Root System Architecture in Rice Plant and Animal Genomes, XX Genome Conference (2011)
  4. with Gilberto Bini, Euler characteristics of moduli spaces of curves, Journal of the European Mathematical Society, vol. 13 no. 2 (2011), pp. 487-512
  5. with Paul Bendich, Persistent Intersection Homology, Foundations of Computational Mathematics, vol. 11 no. 3 (2011), pp. 305-336
  6. Anjali Iyer-Pascuzzi, Joshua S. Weitz, Olga Symonova,Yuriy Mileyko, Yueling Hao, Heather Belcher, John Harer, and Philip N. Benfey, Imaging and Analysis Platform for Automatic Phenotyping and Trait Ranking of Plant Root Systems, Plant Physiology, vol. 152 (2010), pp. 1148-1157
  7. 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
  8. 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.
  9. 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
  10. D. Cohen-Steiner, H. Edelsbrunner, J. Harer and D. Morozov., Persistent homology for kernels, images, and cokernels., Proc. Sympos. Discret Alg. (2009)
  11. 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
  12. 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.
  13. D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Stability of persistence diagrams., Discrete Comput. Geom., vol. 37 (2007), pp. 103-120
  14. H. Edelsbrunner and J. Harer, Persistent homology --- a survey., In Twenty Years After, eds. J. E. Goodman, J. Pach and R. Pollack, AMS. (2007)
  15. D. Attali, H. Edelsbrunner, J. Harer, Y. Milokov, Alpha-beta witness complexes, Proc. 10th Workshop Algor. Data Struct., 2007, Springer LNCS 4619, 386-397. (2007)
  16. with H. Edelsbrunner, V. Natarajan, V. Pascucci., Local and Global Comparison of Continuous Functions, Proc. IEEE Conf. Visualization, 2004, 275-280. (2004), pp. 275-280
  17. with P. K. Agarwal, H. Edelsbrunner, and Y. Wang, Extreme elevation on a 2-manifold., Proc. 20th Ann. Sympos. Comput. Geom. (2004), pp. 357-365
  18. with H. Edelsbrunner, A. Mascarenhas and V. Pascucci, Time-varying Reeb graphs for continuous space-time data., Proc. 20th Ann. Sympos. Comput. Geom. (2004), pp. 366-372.
  19. with K. Cole-McLaughlin, H. Edelsbrunner, V. Natarajan and V. Pascucci, Loops in Reeb graphs of 2-manifolds., Discrete Comput. Geom., vol. 32 (2004), pp. 231-244.
  20. with P. Agarwal and A. Collins, HPRM: A Hierarchical PRM, Proc. Intl. Conf. Robotics and Automation (2003)
  21. with H. Edelsbrunner, V. Natarajan and V. Pascucci., Morse-Smale complexes for piecewise linear 3-manifolds., Proc. 19th Ann. Sympos. Comput. Geom. (2003), pp. 361-370.
  22. with H. Edelsbrunner., 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
  23. P. Agarwal, A. Collins and J. Harer, Minimal Trap Design, Proceedings of the 2001 IEEE International Conference on Robotics and Automation (ICRA), (2001)
  24. H. Edelsbrunner, J. Harer and A. Zomorodian, Hierarchical Morse complexes for piecewise linear 2-manifolds, Proc. 17th Sympos. Comput. Geom. 2001, 70-79.
  25. 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, pp. 4405--4427 (electronic), 2001
  26. Harer, John L., The rational Picard group of the moduli space of Riemann surfaces with spin structure, Mapping class groups and moduli spaces of Riemann surfaces (Gottingen, 1991/Seattle, WA, 1991), pp. 107--136, 1993, Amer. Math. Soc., Providence, RI
  27. Harer, John, The third homology group of the moduli space of curves, Duke Math. J., vol. 63, no. 1, pp. 25--55, 1991
  28. Harer, John L., Stability of the homology of the moduli spaces of Riemann surfaces with spin structure, Math. Ann., vol. 287, no. 2, pp. 323--334, 1990
  29. Harer, John L., The cohomology of the moduli space of curves, Theory of moduli (Montecatini Terme, 1985), pp. 138--221, 1988, Springer, Berlin
  30. Harer, John and Kas, Arnold and Kirby, Robion, Handlebody decompositions of complex surfaces, Mem. Amer. Math. Soc., vol. 62, no. 350, pp. iv+102, 1986
  31. Harer, J. and Zagier, D., The Euler characteristic of the moduli space of curves, Invent. Math., vol. 85, no. 3, pp. 457--485, 1986
  32. Harer, John L., The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math., vol. 84, no. 1, pp. 157--176, 1986
  33. Harer, John L., Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math. (2), vol. 121, no. 2, pp. 215--249, 1985
  34. Geometry and topology, Proceedings of the special year held at the University of Maryland, College Park, Md., 1983/84, edited by Alexander, J. and Harer, J., pp. vi+292, 1985, Springer-Verlag, Berlin
  35. Harer, John, The homology of the mapping class group and its connection to surface bundles over surfaces, Four-manifold theory (Durham, N.H., 1982), pp. 311--314, 1984, Amer. Math. Soc., Providence, RI
  36. Harer, John, The second homology group of the mapping class group of an orientable surface, Invent. Math., vol. 72, no. 2, pp. 221--239, 1983
  37. Harer, John, Representing elements of pi1(M3) by fibred knots, Math. Proc. Cambridge Philos. Soc., vol. 92, no. 1, pp. 133--138, 1982
  38. Harer, John, How to construct all fibered knots and links, Topology, vol. 21, no. 3, pp. 263--280, 1982
  39. Casson, Andrew J. and Harer, John L., Some homology lens spaces which bound rational homology balls, Pacific J. Math., vol. 96, no. 1, pp. 23--36, 1981
  40. Harer, John, On handlebody structures for hypersurfaces in C3 and CP3, Math. Ann., vol. 238, no. 1, pp. 51--58, 1978

Papers Submitted

  1. with Taras Galkovskyi, Yuriy Mileyko, Alexander Bucksch, Brad Moore, Olga Symonova, Charles A Price, Christopher Topp, Anjali Iyer-Pascuzzi, Paul Zurek, Suqin Fang, Philip N Benfey, and Joshua S Weitz, GiA Roots: Software for the High Throughput Analysis of Plant Root System Images, BMC Plant Biology (2011)
  2. with Elizabeth Munch, Michael Shapiro, Failure Filtrations for Fenced Sensor Networks, The International Journal of Robotics Research (2011), pp. 14
  3. with Michael Jenista, Realizing Boolean Dynamics in Switching Networks, Siam Journal of Applied Dynamical Systems (2011), pp. 12
  4. T. Fink, S. Ahnert, R. Bar-On, J. Harer, Exact dynamics of Boolean networks with connectivity one, PRL (2009)
  5. Mehak Aziz, Siobhan M. Brady, David Orlando, Appu Kuruvilla, Scott Spillias, José R. Dinneny, Terri A. Long, John Harer, Uwe Ohler, Philip N. Benfey, Gene Expression Clustering Analysis: How to Choose the Best Parameters and Clustering Algorithm (2008)

Preprints

  1. John Harer, Algorithms for Enumerating Triangulations and Other Maps in Surfaces, 1998 , preprint 1998
  2. John Harer, An Alternative Approach to Trap Design for Vibratory Bowl Feeders, 1998 , preprint 1998
  3. John Harer, The Euler Characteristic of the Deligne-Mumford Compactification of the Moduli Space of Curves, 1996 , preprint 1996

Other

  1. with H. Edelsbrunner, Persistent Morse Complex Segmentation of a 3-Manifold, Raindrop Geomagic Technical Report, vol. 066 (2004)