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PROFESSIONAL ADDRESS
Department of Mathematics and Computer Science
Eastern Illinois University
Charleston, IL 61920
217-581-7528
217-581-6284 (Fax)
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LOCAL
ADDRESS
1706 Gentry Square Lane, Apt 102
Champaign, IL 61821
314-255-5978
kparwani@eiu.edu
http://www.ux1.eiu.edu/~kparwani
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EDUCATION
- Northwestern
University, Evanston, Illinois
PhD, Mathematics, June 2003
Thesis Advisor: John Franks
- Eastern
Illinois University, Charleston, Illinois
M.A., Mathematics, May 1997
B.A., Mathematics, December 1995
Minor: Physics and Philosophy
EMPLOYMENT HISTORY
- Assistant
Professor, Department of
Mathematics, Eastern Illinois University, Fall 2007 to present
- Visiting
Assistant Professor, Department of
Mathematics, University of Missouri—St. Louis, Fall 2006 to
present
- Visiting
Assistant Professor, Department of
Mathematics, University of Houston, Fall 2004 to Spring 2006
- Visiting
Instructor, Department of
Mathematics, Northwestern University, Fall 2003 to Spring 2004
- Graduate
Teaching Assistant, Department of
Mathematics, Northwestern University, Fall 1998 to Spring 2002
MATHEMATICAL INTERESTS
- Dynamical
Systems, group actions on manifolds, topological dynamics, fixed-point
theory, surface homeomorphisms, and foliations & laminations on
3-manifolds
PUBLICATIONS & PREPRINTS
- Topologically
monotone periodic orbits for torus homeomorphisms, Proc. Amer. Math. Soc. 133
(2005), 1677-1683
- Actions
of SL(n,Z) on homology spheres, Geom. Dedicata 112 (2005),
225-237
- Rotation
sets for networks of circle maps, Chaos
16 (2006), no. 1, 015115, 9 pp. (with Kresimir Josic)
- Simple
braids for surface homeomorphisms,
Topology Appl. 153 (2006), 3413-3419
- Fixed
points of abelian actions on S2,
to appear in Ergodic Theory and
Dynamical Systems (with John Franks and Michael Handel)
- Fixed
points of abelian actions, submitted
to the Journal of Modern Dynamics (with John Franks and Michael Handel)
- On
3-manifolds that support partially hyperbolic diffeomorphisms, preprint
- Minimal
flows, to be included in Open
Problems in Topology II (with Bill Basener and Tamas Wiandt)
- Harmonic
functions on codimension one foliations, preprint (with Renato Feres and Sergio Fenley)
- C^1
actions of the mapping class group on the circle, preprint
TALKS & PRESENTATIONS
- “Monotone
Periodic Orbits on Surfaces”, Northwestern University Dynamical Systems
Seminar, October 2002
- “Topologically-Monotone
Periodic Orbits on Surfaces”, Semi-annual Workshop in Dynamical Systems
at Penn State, October 2002
- “An
Analog of Sharkovskii’s Theorem on the Annulus”, Spring 2003 Meeting at
Maryland
- “Actions
of SL(n,Z) on
homology spheres”, Spring Topology and Dynamics Conference 2004
- “Braids
for surface homeomorphisms”, AMS Sectional Meeting at Lawrenceville,
Spring 2004
- “Continuous
actions of lattices on spheres”, Colloquium at Rice University, Spring
2005
- “Fixed
points for commuting maps on the sphere,” SIAM Conference on
Applications of Dynamical
Systems, May 2005
- “Global
fixed points for abelian actions on the plane and the sphere”, Summer
Topology Conference 2005
- “Fixed
points for smooth abelian actions on surfaces”, Geometry /Topology
Seminar, University of Chicago, January 2006
- “On
3-manifolds that support partially hyperbolic diffeomorphisms”, AMS
National Meeting, San Antonio, January 2006
- “Partially
hyperbolic diffeomorphisms on 3-manifolds”, International Workshop on
Global Dynamics Beyond Uniform Hyperbolicity, Chicago, May 2006
- “Automorphisms
of codimension one foliations on 3-manifolds”,
Dynamics/Foliations/Geometry Seminar at Washington University, Fall 2006
- “C^1
actions of the mapping class group on the circle”, AMS Sectional Meeting
at Chicago, Fall 2007
COURSES TAUGHT
- Mathematical
Models in Finance
- Differential
Equations
- Real
Analysis
- Introduction
to Applied Mathematics
- Linear
Algebra
- Introduction
to Abstract Algebra
- Geometry
- Introduction
to Dynamical Systems
- Calculus
- Introduction
to Probability and Statistics
- Complex
Variables
- Probability
and Stochastic Processes (Teaching Assistant)
- Differential
Geometry (Teaching Assistant)
SERVICE
- Co-organizer
of the Geometry/Dynamics/Topology Day 2007
- Organized
the weekly Graduate Dynamical Systems Seminar from Fall 1999 to Spring
2003
COMPUTER EXPERIENCE
- Extensive
work with MAPLE. Organized classes in Differential Equations,
Applied Mathematics, and Differential Geometry around MAPLE Worksheets
(see web page)
SCHOLARSHIPS AND AWARDS
- Northwestern
University Teaching Assistantship, 1999-2002
- Northwestern
University Fellowship, 1998-1999
- Sum
Cum Laude, 1996
REFERENCES AVAILABLE ON REQUEST
John Franks
Department of Mathematics
Northwestern University
Evanston, IL 60208
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Keith Burns
Department of Mathematics
Northwestern University
Evanston, IL 60208
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Michael Handel
Department of Mathematics
Lehman College (CUNY)
New York, NY 10016
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Amie Wilkinson
Department of Mathematics
Northwestern University
Evanston, IL 60208
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Michal Misiurewicz
Department of Mathematics
IUPUI
Indianapolis, IN 46202
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Renato Feres
Department of Mathematics
Washington University
St. Louis, MO 63130
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