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Steve Hurder

Professor Emeritus, 2012 - present
Mathematics, Statistics & Computer Science
University of Illinois at Chicago

505 Science Engineering Offices
Phone: (312) 413-2154;  Fax: (312) 996-1491
Email: hurder@uic.edu


Midwest Dynamical Systems 2019 at UIC

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) PDF
  Ergodic Theory Dynamical Systems, Vol. 38:2683-2728, 2018; {doi.org/10.1017/etds.2016.144}.  
84. Wild solenoids (with Olga Lukina) PDF
  Transactions A.M.S., Vol. 371:4493-4533, 2019; {arXiv:1702.03032}  
85. Manifold-like matchbox manifolds (with Alex Clark and Olga Lukina) PDF
  Proceedings A.M.S., Vol. 147:3579-3594, 2019; {arXiv:1704.04402}.  
86. Orbit equivalence and classification of weak solenoids (with Olga Lukina) PDF
  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) PDF
  Topology and Its Applications, 271:xx-xxx, 2020; {arxiv:1811.00288}.  
88. Limit group invariants for non-free Cantor actions (with Olga Lukina) PDF
  Ergodic Theory Dynamical Systems, to appear; {arxiv:1904.11072}.  
89. Nilpotent Cantor actions (with Olga Lukina) PDF
  submitted; revised November 11, 2020; {arxiv:1905.07740}.  
90. Cantor dynamics of renormalizable groups (with Olga Lukina and Wouter van Limbeek) PDF
  submitted; revised October 28, 2020. {arxiv:2002.01565}  
91. The prime spectrum of solenoidal spaces (with Olga Lukina) PDF
  in preparation, December 2020.  
92. Characteristic classes of flat Diff(X) foliations PDF
  in preparation, update of unpublished 1985 manuscript.  

Golden Oldies

2. Dual homotopy invariants of G-foliations PDF
  Topology, 20(4):365--387, 1981.
21. Ergodic theory and Weil measures for foliations (with Anatole Katok) PDF
  Ann. of Math. (2) 126 (1987), no. 2, 221--275.
29. Differentiability, rigidity and Godbillon-Vey classes for Anosov flows (with Anatole Katok) PDF
  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) PDF
  Invent. Math. 103 (1991), no. 1, 101--179.
36. Rigidity for Anosov actions of higher rank lattices PDF
  Ann. of Math. (2) 135 (1992), no.2, 361--410.
51. Manifolds which cannot be leaves of foliations (with Oliver Attie) PDF
  Topology 35 (1996), no. 2, 335--353.
59. Dynamics and the Godbillon-Vey Class of C^1 Foliations (with Remi Langevin) PDF
  Journal Math. Society Japan, Vol. 70:423 - 462, 2018. revision of 2004 preprint
74. The dynamics of generic Kuperberg flows (with Ana Rechtman) PDF
  Astérisque, Vol. 377, 2016.

Surveys & More

1994:  A survey of rigidity theory for Anosov actions PDF
1994:  Coarse geometry of foliations PDF
2002:  Dynamics and the Godbillon-Vey class: a history and survey PDF
2003:  Foliation Geometry/Topology Problem Set PDF
2008:  Classifying foliations PDF
2008:  Characteristic classes for Riemannan foliations PDF
2011:  Lectures on Foliation Dynamics: Barcelona 2010 PDF
2012:  Problem Session - Foliations 2012, Lodz, Poland PDF

updated December 24, 2020