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Steven Hurder

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

Email: hurder@uic.edu

 



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

93. Essential holonomy of Cantor actions (with Olga Lukina) PDF
  Journal Math. Society Japan, vol. 77, 57-74, 2025. {arxiv:2205.06285}  
94. Type invariants for non-abelian odometers (with Olga Lukina) PDF
  Ergodic Theory Dynamical Systems, pages 1--29, 2025; {arXiv:2305.00863}  
95. Prime spectrum and dynamics for nilpotent Cantor actions (with Olga Lukina) PDF
  Pacific Journal Mathematics, vol. 327, 107--128, 2023. {arXiv:2305.00896}  
96. Characteristic classes of flat Diff(M) foliations PDF
  preprint, November 2023. {arXiv:2311.09160}  
97. Rigid secondary characteristic classes PDF
  preprint, March 2024. {arXiv:2403.09371}  
98. Mapping class groups of solenoidal manifolds (with Olga Lukina) PDF
  preprint, June 2026.  
99. Mapping class groups of nilpotent solenoids (with Olga Lukina) PDF
  in preparation, 2026.  


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 June 5, 2026