Expository Work

• A growing essay on manifold theory, de Rham cohomology and more.
• Counting methods in combinatorics and handout on max flow min cut
• A book on linear algebra.
•  Errata  and additional proofs for 2^nd edition of Riemannian Geometry, New York: Springer Verlag, GTM 171, 2006.
• An elementary exposition on warped products (updated 2.17.10)
• An exposition on Bochner-Lichnerowicz-Weitzenböck Formulas.

Research

• Warped Product Einstein Manifolds with Chenxu He and William Wylie
• Warped Product Rigidity with Chenxu He and William Wylie
• Constant scalar curvature with Chenxu He and William Wylie
  
• Conformal flatness with Chenxu He and William Wylie
• Principles for Deforming Nonnegative Curvature (updated 2.17.10) with Fred Wilhelm
• On the Set of Images Modulo Viewpoint and Contrast Changes with Ganesh Sundaramoorthi and Stefano Soatto
•  An Exotic Sphere with Positive Sectional Curvature (will be updated this spring) with Fred Wilhelm. (Fred’s beamer presentation)

PApers on mathscinet        Preprints on Arxiv

   Other Interesting Items

day 2
day 5
	blaf
		given