EDUCATION.

   University of Minnesota (USA), Ph.D. in Mathematics, May 1996;
     Thesis advisor: Professor Ben Chow;
   National Ciao Tung University (Taiwan), M.S. in Mathematics, June1985;.
   National Tsing Hua University (Taiwan), B.S. in Mathematics, June 1983.

AREAS OF INTEREST.

   Geometric Analysis and Partial Differential Equations.

EMPLOYMENT.

   2004-Present: Professor, Dept. of Math., National Tsing Hua University;
   1996-2003: Associate Professor, National Chung Cheng University;
   1987-1988: Instructor, Dept. of Applied Math., National Chiao Tung University

PUBLICATIONS.

[1]	Nien, C. H., Tsai, D. H. (2006) Convex curves moving translationally in the plane, Journal of Differential Equations, to appear.
[2]	Tsai, D. H. (2005) Asymptotic closeness to limiting shapes for expanding embedded plane curves, Inventiones Mathematicae, 162, 473-492, 2005.
[3]	Tsai, D. H. (2005) Expanding embedded plane curves, Contemporary Mathematics, American Mathematical Society, Vol. 367, 189-227, 2005.
[4]	Tsai, D. H. (2005) Behavior of the gradient for solutions of parabolic equations on the circle, Calculus of Variations & PDE, Vol. 23, 251-270, 2005.
[5]	Tsai, D. H. (2004) Blowup behavior of an equation arising from plane curves expansion, Differential and Integral Equations, Vol. 17, Num. 7-8, 849-872, 2004.
[6]	Tsai, D. H. (2003) C^{2,£\} estimate of a parabolic Monge-Ampere equation on S^{n}, Proceedings of the American Mathematical Society, Vol. 131, Num. 10, 3067-3074, 2003.
[7]	Tsai, D. H. (2002) On the formation of singularities in the curve expanding flow, Calculus of Variations & PDE, Vol. 14, Num. 3, 385-398, 2002.
[8]	Tsai, D. H. (2000) Blowup and convergence of expanding immersed convex plane curves, Communications in Analysis and Geometry, Vol. 8, Num. 4, 761-794, 2000.
[9]	Chow, B., Tsai, D. H. (1998) Nonhomogeneous Gauss curvature flows, Indiana University Mathematics Journal, Vol. 47, Num. 3, 965-994, 1998.
[10]	Chow, B., Tsai, D. H. (1997) Expansion of convex hypersurfaces by nonhomogeneous functions of curvature, Asian Journal of Mathematics, Vol. 1, Num. 4, 769-784, 1997.
[11]	Chow, B., Liou, L. P., Tsai, D. H. (1996) On the nonlinear parabolic equation \partial_{t}u=F(¡µu+nu)on S^{n}, Communications in Analysis and Geometry, Vol. 4, Num. 3, 415-434, 1996.
[12]	Tsai, D. H. (1996) Geometric expansion of starshaped plane curves, Communications in Analysis and Geometry, Vol. 4, Num. 3, 459-480, 1996.
[13]	Chow, B., Tsai, D. H. (1996) Geometric expansion of convex plane curves, Journal of Differential Geometry, Vol. 44, 312-330, 1996.
[14]	Chow, B., Liou, L. P., Tsai, D. H. (1996) Expansion of embedded curves with turning angle greater than -£k, Inventiones Mathematicae, 123, 415-429, 1996.

INVITED TALKS.

   Taiwan-Japan Conference on Nonlinear PDE, held at National Chung Cheng University, 1996, Taiwan

   Conference on Nonlinear PDE and Related Topics, held at Ryukoku University, June 26-28, 1997 Japan

   The Second Taiwan-Philippines Symposium in Analysis, held at National Tsing Hua University, June 2-5, 1997, Taiwan

   International Congress of Chinese Mathematicians, Dec.1998, Peking, China

   International Congress of Chinese Mathematicians, Dec.2001, Taipei, Taiwan

   International Workshop on Geometry, held at NCTS, June 25-July 5, 2000, Hsinchu, Taiwan

   The First East Asia Symposium on Nonlinear PDE, held at Osaka University, Sep. 19-21, 2000, Japan

   Geometric Analysis Seminar in Department of Mathematics, U. C. San Diego, June 4, 2001, USA

   Annual Meeting of Taiwan Mathematics Society, held at Chung Hsing University, Nov. 23-25, 2001, Taiwan

   Workshop on Geometric Evolution Equations, held at NCTS, July 15-August 14, 2002, Hsinchu, Taiwan

   Workshop on Reaction-Diffusion Equations and Related Topics, held at NCTS, May 26-31, 2004, Hsinchu, Taiwan

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