Published Papers

• Integral invariants of principal SO(n) x SO(r) group structures on space forms,
  Math. Ann. 268, pp265-71 (1984).
  
• Submanifolds of the Grassmann manifold with vanishing Chern forms,
  Tohoku Math. J. 37, pp271-85 (1985)
  
• An invariant formula for orthogonal distributions,
  Annals of Global Analysis and Geometry 6, no.2 (1988)
  
• (with H. Gauchman) Submanifolds of quaternionic projective space with bounded second fundamental form,
  Kodai Math. J. 12, no.3 pp296-307 (1990)
  
• (with J. Glazebrook) Submanifolds of the Cayley projective space with bounded second fundamental form,
  Geom. Dedicata 33, pp265-75 (1990)
  
• (with H. Gauchman) Invariant subspaces of two Hermitian structures on a Euclidean space ,
  Linear Algebra and Its Applications 301, pp113-119 (1999)
  
• (with G. Galperin) Forces Along Equidistant Particle Paths,
  Mathematical Physics Analysis and Geometry (2003)
  
• (with Y. Movshovich) Besicovitch Triangles Cover Unit Arcs,
  Geom. Dedicata (2006)
  

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 appraoch, UIUC, Geometric Potpourri Seminar, Dec. 13, 2005.
  
• Expectation for Escaping From a Known Forest, UIUC, Geometric Potpourri Seminar, Apr. 3, 2007.

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)
  

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