| Home | Teaching | Research | Publications | Vita | Service |
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Steve Hurder Professor Emeritus, 2012 - present 505 Science Engineering Offices Midwest Dynamical Systems 2023 at UIC |
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orcid.org/0000-0001-7030-4542
Awards & Honors
| Research: | Alfred P. Sloan Foundation Fellowship, 1985-1987 ; University Scholar (1991-1994; UIC) |
| Service: | Award of Excellence (1997; State of Illinois - citizen contributions to local elementary schools) |
| Teaching: | Award of Excellence (2007; UIC Campus-Wide Prize for Teaching Contributions) |
| UIC: | INSPIRE & Luminary Award (June/November 2010) |
| AMS: | Fellow of the American Mathematics Society (2012) |
Recent & Forthcoming
| 81. | Aperiodicity at the boundary of chaos (with Ana Rechtman) |
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| Ergodic Theory Dynamical Systems, vol. 38:2683-2728, 2018; {doi.org/10.1017/etds.2016.144}. | ||
| 84. | Wild solenoids (with Olga Lukina) |
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| Transactions A.M.S., vol. 371:4493-4533, 2019; {arXiv:1702.03032} | ||
| 85. | Manifold-like matchbox manifolds (with Alex Clark and Olga Lukina) |
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| Proceedings A.M.S., vol. 147:3579-3594, 2019; {arXiv:1704.04402}. | ||
| 86. | Orbit equivalence and classification of weak solenoids (with Olga Lukina) |
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| Indiana Univ. Math. J., vol. 69:2339–2363, 2020; {arXiv:1803.02098}. | ||
| 87. | Pro-groups and a generalization of a theorem of Bing (with Alex Clark and Olga Lukina) |
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| Topology and Its Applications, vol. 271:xx-xxx, 2020; {arxiv:1811.00288}. | ||
| 88. | Limit group invariants for non-free Cantor actions (with Olga Lukina) |
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| Ergodic Theory Dynamical Systems, vol. 41:1751-1794, 2021; {arxiv:1904.11072}. | ||
| 89. | Nilpotent Cantor actions (with Olga Lukina) |
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| Proceedings A.M.S., vol. 150, 289-304, 2022; {arxiv:1905.07740}. | ||
| 90. | Cantor dynamics of renormalizable groups (with Olga Lukina and Wouter van Limbeek) |
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| Groups, Geometry, and Dynamics, vol. 15, 1449-1487, 2021; {arxiv:2002.01565} | ||
| 91. | The prime spectrum of solenoidal manifolds (with Olga Lukina) |
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| preprint, March 11, 2021. {arxiv:2103.06825} | ||
| 92. | Kuperberg dreams (with Ana Rechtman) |
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| celebratio.org/Kuperberg_KM/", November 30, 2021. | ||
| 93. | Essential holonomy of Cantor actions (with Olga Lukina) |
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| Journal Math. Society Japan, to appear. {arxiv:2205.06285} | ||
| 94. | Type invariants for non-abelian odometers (with Olga Lukina) |
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| submitted, October 16, 2024. {arXiv:2305.00863} | ||
| 95. | Prime spectrum and dynamics for nilpotent Cantor actions (with Olga Lukina) |
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| Pacific Journal Mathematics, vol. 327, 107--128, 2023. {arXiv:2305.00896} | ||
| 96. | Characteristic classes of flat Diff(M) foliations |
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| preprint, November 2023. {arXiv:2311.09160} | ||
| 97. | Rigid secondary characteristic classes |
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| preprint, March 2024. | ||
| 98. | Divisible secondary characteristic classes |
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| in preparation, March 2024. |
Golden Oldies
| 2. | Dual homotopy invariants of G-foliations |
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| Topology, 20(4):365--387, 1981. | ||
| 21. | Ergodic theory and Weil measures for foliations (with Anatole Katok) |
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| Ann. of Math. (2) 126 (1987), no. 2, 221--275. | ||
| 29. | Differentiability, rigidity and Godbillon-Vey classes for Anosov flows (with Anatole Katok) |
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| Inst. Hautes Études Sci. Publ. Math. No. 72 (1990), 5--61. | ||
| The original 1987 IHES preprint version has additional content. | ||
| 31. | Cyclic cocycles, renormalization and eta-invariants. (with Ronald G. Douglas and Jerome Kaminker) |
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| Invent. Math. 103 (1991), no. 1, 101--179. | ||
| 36. | Rigidity for Anosov actions of higher rank lattices |
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| Ann. of Math. (2) 135 (1992), no.2, 361--410. | ||
| 51. | Manifolds which cannot be leaves of foliations (with Oliver Attie) |
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| Topology 35 (1996), no. 2, 335--353. | ||
| 59. | Dynamics and the Godbillon-Vey Class of C^1 Foliations (with Remi Langevin) |
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| Journal Math. Society Japan, Vol. 70:423 - 462, 2018. revision of 2004 preprint | ||
| 74. | The dynamics of generic Kuperberg flows (with Ana Rechtman) |
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| Astérisque, Vol. 377, 2016. |
Surveys & More
updated October 16, 2024