EDUCATION

         1987          PhD,   Mathematics, University of California at Los Angeles

         1985          M.S,    Mathematics, University of California at Los Angeles

         1982          B.S,     Mathematics, University of Science and Technology of China

PROFESSIONAL APPOINTMENTS

         2020-                     Department Chair

         2019-2020         Interim Department Chair

         2017-2019        Graduate Coordinator, Math/Stat

         1998  Fall           Visiting Professor, University of Washington

         1997-                    Professor, Wichita State University

         1992-1997        Associate Professor, Wichita State University

         1990-1992        Assistant Professor, Wichita State University

         1987-1990        Assistant Professor, University of Washington

AREAS  OF RESEARCH

         Partial Differential Equations, Differential Geometry, Inverse Problems

RESEARCH GRANTS

         1990-1998       NSF, Classical Analysis

         2004-2008       Research Grant from Fudan University

PhD STUDENTS

          Feng Qiu          Inverse Problems for Linear and Semilinear Elliptic Partial Differential Equations of the Schrodinger Type,  1998

          David Hervas           An Inverse Boundary Value Problem for a Quasilinear Elliptic Differential Equation,  2001

             Md Ibrahim Kholil          Inverse Problems for Quasilinear Elliptic Equations in Anisotropic Medium,  2023

PUBLICATIONS

•   Some special properties of umbilic submanifolds of Riemannian manifolds with constant curvatures, J. Univ. Sci. Tech. Chin.,     14 (2), (1984),  187-194.

•   Submanifolds with constant mean curvature in spheres, Adv. in Math. (Beijing), 16 (1), (1987), 91-96.

•   On complete hypersurfaces in R-4 with constant scalar curvature, Chin. Ann. of Math., Ser. A8 (1987), No.1, 1-8.

•   On compact hypersurfaces in S-4 with constant scalar curvature, Chin. Ann. Of Math., Ser. A8 (1987), No.3, 273-286.

•   On the uniqueness for a multidimensional hyperbolic inverse problem, Comm. in PDE, 13 (10), (1988), 1189-1208.

•   On an inverse boundary value problem in two dimensions, Comm. in PDE, 14 (8&9), (1989), 1101-1113.

•   On the continuous dependence for an inverse initial boundary value problem, J. Math. Anal. and Appl. 150 (1), (1990), 188-      204.

•   The inverse conductivity problem in two dimensions, J. Diff. Equations, 87 (2), (1990), 227-255.

•   Generic uniqueness for an inverse boundary value problem, Duke Math. J., 62 (1), (1991), 131-155. (with G. Uhlmann)

•   Uniqueness for formally determined inverse boundary value problems, Comp. Math. Applic., 22 (4/5), (1991), 67-80.

•   Generic uniqueness for formally determined inverse problems, Inverse Problems in Engineering Sciences, ICM-90 Satellite     Conf. Proc., Springer- Verlag, 145-152. (with G. Uhlmann)

•   An inverse boundary value problem for Schrodinger operators with vector potentials, (1991), Trans. of AMS, 338 (2),        

  (1993),  953-969.

•   An inverse boundary value problem for Maxwell's equations, Archive Rat. Mech. Anal., 119, (1992), 71-93. (with G.        

  Uhlmann)

•   Stability estimates for hyperbolic inverse problems with local boundary data, Inverse Problems, 8, (1992), 193-206. (with V. 

  Isakov)

•   Inverse scattering for singular potentials in two dimensions, Trans. of AMS, 338 (1), (1993), 363-374. (with G. Uhlmann)

•   An inverse boundary value problem for Schrodinger operators with vector potentials in two dimensions, Comm. in PDE, 18 

  (1&2), (1993), 83-124.

•   Recovery of singularities for formally determined inverse problems, Comm. in Math. Physics, 153, (1993), 431-445. (with G. 

  Uhlmann)

•   Inverse boundary value problems for Schrodinger operators, Inverse Problems in Mathematical Physics, Lecture Notes in 

  Physics, 422, (1993), Springer-Verlag, 216-230.

•   An inverse boundary value problem for St. Venant-Kirchhoff's materials, Inverse Problems, 10 (1994), 1159-1163. (with G. 

  Nakamura)

•   A global identifiability theorem for the Schrodinger equation in magnetic field, Math. Ann., 303 (1995), 377-388. (with G. 

  Nakamura and G. Uhlmann)

•   The inverse scattering at fixed energies in two dimensions, Indiana Univ. Math. Journal, 44 (3), (1995), 883-896. (with V. 

  Isakov)

•   On a quasilinear inverse boundary value problem, Math. Z, 221 (2), (1996), 293-305.

•   Electrical impedance tomography in nonlinear materials, Journees “Equations aux Derivees Partielles" (Saint-Jean-de-

  Monts, 1996), Exp. No. XIV, 11pp., Ecole Polytech., Palaiseau, 1996. (with G. Uhlmann)

•   Inverse problems in quasilinear anisotropic medium, Amer. Journal of Math. 19 (40), (1997), 771-797. (with G. Uhlmann)

•   Inverse boundary value problems for nonlinear elasticity, Inverse Problems in Engineering Sciences, Proc. of IPES, (1999), 

  Springer-Verlag. (with G. Nakamura)

•   An inverse boundary value problem for quasilinear elliptic equations. Comm. in PDE, 27 (2002), 11&12, 2449-2490. (with  

  D.  Hervas)

•   An inverse problem for inhomogeneous conformal Killing field equations, Proc. Amer. Math. Soc. 131 (2003), 1583-1590.

•   Anisotropic inverse problems in two dimensions, Inverse Problems, 19 (2003) 1001-1010. (with Gunther Uhlmann)

•   A pinching theorem on submanifolds with parallel mean curvature vectors, Colloquium Mathematicum, 98 (2), (2003), 189-

  199.

•   Inverse boundary value problems for a class of semilinear elliptic equations, Advances in Applied Mathematics, 32 (4), 

  (2004), 791-800.

•   Note on exponentially growing solutions to the Schrodinger equations, Communications in Applied Math, 9 (2005), 327-

  336.

•   Conjectures in inverse boundary value problems for quasilinear elliptic equations, CUBO Journal, 7 (3), (2005), 65-73.

•   Anisotropic inverse problems for quasilinear elliptic equations, Journal of Physics, 12 (2005), 156-164.

•   Inverse boundary value problems for elliptic equations, Advances in Mathematics and Its Applications, USTC, (2008), 149-   

 171.

•   An inverse boundary value problem for semilinear elliptic equations, Electron. J. Diff. Equ., Vol. 2010 (2010), No. 37, 1-5.

•   A method for searching for prime pairs in the Goldbach conjecture, International J. Math & Comp. 10 (2015), No 2, 115-

  126. (with W. Zeng)

•   A uniqueness theorem for inverse problems in quasilinear anisotropic media, Inverse Problems and Imaging.  Vol. 16, No.  6,    (2022), 1571–1577. (with M.  Kholil)

•   A uniqueness theorem for inverse problems in quasilinear anisotropic media II, Inverse Problems and Imaging, Vol. 18, No. 1, (2024), 104-112. (with M.  Kholil)