Gabor Toth

Position: Chair of the Department of Mathematical Sciences
Dates:Professor, July 1998 -- present
Office: BSB 311
Phone: (609)-225-6132
E-mail: gtoth@crab.rutgers.edu

Projects and Fields of Interest

  1. Harmonic Maps and Minimal Immersions;
  2. Computer Graphics;
  3. Science Vision Project.

Publications

Books

  1. Finite Moebius Groups, Minimal Immersions of Spheres, and Moduli, (in preparation);
  2. Glimpses of Algebra and Geometry, Springer Verlag, New York, 1997;
  3. Harmonic maps and minimal immersions through representation theory, Academic Press, Boston, 1990;
  4. Harmonic and Minimal Maps, Halsted Press, New York, 1984.

Selected Research Articles

  1. Universal constraints on the range of eigenmaps and spherical minimal immersions, Trans. Amer. Math. Soc. (to appear).
  2. (with W. Ziller) Spherical minimal immersions of the 3-sphere, Comment. Math. Helvetici (to appear).
  3. (with H. Gauchman) Fine structure of the space of spherical minimal immersions, Trans. Amer. Math. Soc. Vol. 342, No. 6 (1996) 2551-2563.
  4. Eigenmaps and the space of minimal immersions between spheres, Indiana Univ. Math. J. Vol. 43, No. 4 (1994).
  5. Rigidity of minimal submanifolds in terms of higher fundamental forms, Michagan Math. J. Vol. 40 (1993) 493-506.
  6. Classification of quadratic harmonic maps of S^3 into spheres, Indiana Univ. Math. J. Vol. 36, No. 2 (1987).
  7. Operators on eigenmaps between spheres, Compositio Math. 88 (1993) 317-322.

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