# Mei-Chi Shaw

Professor

B.S., National Taiwan University, 1977

M.S., Princeton University, 1978

Ph.D., Princeton University, 1981

Email: Mei-Chi.Shaw.1@nd.edu

Office: 244 Hayes-Healy

Phone: (574) 631-6357

Fax: (574) 631-6579

For additional information see Mei-Chi Shaw’s Personal Page.

**Research Interests**

My research interests are in several complex variables, partial differential equations and complex geometry. I am currently working on the closed-range property of the Cauchy-Riemann operator in complex manifolds. One of my goals is to understand how the presence of positive or negative curvature will influence solutions to the Cauchy-Riemann equations and function theory on complex manifolds.

#### Selected Publications

- M.-C. Shaw.
*L^2 estimates and existence theorems for the tangential Cauchy-Riemann complex.*Invent. Math., 82:133-150, 1985. - H. Boas and M.-C. Shaw,
*Sobolev Estimates for the Lewy Operator on Weakly pseudo-convex boundaries,*Math. Annalen, 274 (1986), 221-231. - M.-C. Shaw.
*L^p estimates for local solutions of on strongly pseudo-convex CR manifolds.*Math. Annalen, 288:36-62, 1990. - J. Michel and M.-C. Shaw.
*Subelliptic estimates for the -Neumann operator on piecewise smooth strictly pseudsconvex domains,*Duke Math. J. 93 (1998), 115-128. - So-Chin Chen and Mei-Chi Shaw,
*Partial Differential Equations in Several Complex Variables AMS/IP Studies in Advanced Mathematics,*Vol. 19, Amer. Math. Soc., Providence, RI, International Press, Boston, MA, 2001 (Math. Review: 2001m:32071), pp. xii+380.

Please direct questions and comments to: Mei-Chi.Shaw.1@nd.edu