Teaching Experience

• Eastern Illinois University 1983-Pres.
  
• University of Notre Dame (Visiting)1989-90
  

  Published Papers

1. Integral invariants of principal SO(n) x SO(r) group structures on space forms,
   Math. Ann. 268, pp. 265-71 (1984).
   
2. Submanifolds of the Grassmann manifold with vanishing Chern forms,
   Tohoku Math. J. 37, pp. 271-85 (1985)
   
3. An invariant formula for orthogonal distributions,
   Annals of Global Analysis and Geometry 6, no. 2 (1988)
   
4. (with H. Gauchman) Submanifolds of quaternionic projective space with bounded second fundamental form,
   Kodai Math. J. 12, no. 3 pp. 296-307 (1990)
   
5. (with J. Glazebrook) Submanifolds of the Cayley projective space with bounded second fundamental form,
   Geom. Dedicata 33, pp265-75 (1990)
   
6. (with H. Gauchman) Invariant subspaces of two Hermitian structures on a Euclidean space,
   Linear Algebra and Its Applications 301, pp. 113-119 (1999)
   
7. (with G. Galperin) Forces Along Equidistant Particle Paths,
   Mathematical Physics Analysis and Geometry (2003)
   
8. (with Y. Movshovich)     Besicovitch Triangles Cover Unit Arcs,
   Geom. Dedicata (2006)
   
9. (with R. Foote and G. Galperin) The Dynamics of Pendulums on Surfaces of Constant Curvature,
   Math. Physics Analysis and Geo. 12, pp. 97-107 (2009)
   

Recent Invited Lectures

• Generalized kinematic formulas in homogeneous spaces, Differential Geometry Conference at Arkansas State Univeristy, 1992.
  
• Constructing almost complex structures in low dimensions, (2 lectures) University of Notre Dame Colloquia, Nov. 2001.
  
• Equidistant particle paths on spaces of constant curvature, UIUC, Geometric Potpourri Seminar, March 12, 2002.
  
• Expectation relations for the 'Lost in the forest' problem, UIUC, Geometric Potpourri Seminar, Febuary 11, 2003.
  
• The center of mass on surfaces of constant curvature, UIUC, Geometric Potpourri Seminar, December 2, 2003.
  
• Besicovitch triangles are worm-covers, UIUC, Geometric Potpourri Seminar, Sept 21, 2005.
  
• The motion of semi-rigid bodies in curved space, Mathematics Symposium - Western Kentucky University, Nov. 19, 2005.
  
• Near minimum energy point distributions on surfaces-a simple approach, UIUC, Geometric Potpourri Seminar, Dec. 13, 2005.
  
• Expectation for Escaping From a Known Forest, UIUC, Geometric Potpourri Seminar, Apr. 3, 2007.
  
• Rotund Triangular Worm Covers, UIUC, Geometric Potpourri Seminar, May 13, 2008.
  
• Chaotic Dynamics of Base n Expansions, UIUC, Geometric Potpourri Seminar, July 8, 2008.

Department and Professional Service

• Principal Investigator: NSF-CBMS Regional Conference 88, (Speaker: Y.T. Siu)
  
• Department Personnel Committee 88-89,Chair 90-91; 2003-2006, Chair 2005-06
  
• Math Club Advisor 84-88, 92-96
  
• B.A. Mathematics Seven Year Review Committee, Chair 94-95
  
• M. A. Mathematics Seven Year Review Committee, Chair 94-95
  
• Reviewer for Mathematical Reviews 1990 - 1998
  
• Judge for National Science Scholarship Program 92-94
  
• Graduate Program Coordinator 94-98; 2002-06
  
• Principal Investigator: NSF-CBMS Regional Conference 2002 (Speaker: Donald Saari)
  
• Principal Investigator: NSF-CBMS Regional Conference 2008 (Speaker: Vitaly Bergelson)
  

University and College Service

• Arts and Science Curriculum Committee 84-87
  
• Library Advisory Board 85-88
  
• University ad hoc Committee on General Education 87-88
  
• University Personnel Committee 91-94; Secretary 93-94
  
• Arts and Sciences Dean's Advisory Committee 92-94
  
• College of Sciences Dean Selection Committee 94-95
  
• Council for Faculty Research 93-96; Chair 95-96
  
• Undergraduate Research Council 93-98
  
• College of Science Curriculum Committee 00-02
  
• College of Science Research Credits Committee 03-06