**Chair of the Department of Mathematical Sciences**

**Office:** Business and Science Building, Room 310

**Phone:** (856)-225-6538

**E-mail:** gtoth@crab.rutgers.edu

### Projects and Fields of Interest

- Harmonic Maps and Minimal Immersions;
- Convex Geometry;
- Middle Egyptian Grammar

### Publications

#### Books

*Introduction to Middle Egyptian Grammar through Ancient Writings*, Linus Learning, New York, 2013 (ISBN-10: 1-60797-353-7, ISBN-13: 978-1-60797-353-9)*Glimpses of Algebra and Geometry,*Second Edition, Springer Verlag, New York, 2002 (First Edition, 1997; Japanese translation by Y. Kanie, Springer Tokyo, 2000);*Finite Moebius Groups, Minimal Immersions of Spheres, and Moduli,*Springer Verlag, New York, 2001;*Harmonic maps and minimal immersions through representation theory,*Academic Press, Boston, 1990;*Harmonic and Minimal Maps with Applications in Geometry and Physics,*Halsted Press, John Wiley & Sons, New York, 1984

#### Selected Research Articles

*Notes on Schneider’s stability estimates for convex sets in Minkowski space*, J. of Geometry (to appear).*Minimal simplices inscribed in a convex body*, Geometriae Dedicata (June 2013) DOI 10.1007/s10711-013-9882-x.*Simplicial slices of the space of minimal SU(2)-orbits in spheres*, Contributions to Algebra and Geometry (October 2012) DOI 10.1007/s13366-012-0127-1.- (with M. McClain)
*The Stela of Qema-Mar and His Household*, Journal of Archaeology of the Zagreb Museum, VAMZ, 3. S., XLV (2012) 553-563. Download PDF File. *A measure of symmetry for the moduli of spherical minimal immersions*, Geometriae Dedicata 160, 1 (2012) 1-14.*Fine structure of convex sets from asymmetric viewpoint,*Contributions to Algebra and Geometry, Vol. 52, 1 (2011) 171-189.*On the structure of convex sets with symmetries,*Geometriae Dedicata, 143 (2009) 69-80.*Convex sets with large distortion,*Journal of Geometry, Vol 92 (2009) 174-192.*Asymmetry of convex sets with isolated extreme points,*Proc. Amer. Math. Soc. Vol 137, No. 1 (2009) 287-295.*On the structure of convex sets with applications to the moduli of spherical minimal immersions,*Contributions to Algebra and Geometry, Vol. 49, No. 2 (2008) 491-515.*On the shape of the moduli of spherical minimal immersions,*Trans. Amer. Math. Soc., Vol. 358, No. 6 (2006) 2425-2446.*Spherical minimal immersions with prescribed codimension,*Geometriae Dedicata, 113 (2005) 145-163.*Critical points of the distance function on the moduli space for spherical eigenmaps and minimal immersions,*Contributions to Algebra and Geometry, Vol. 45, No. 1 (2004) 305-328.*Simplicial intersections of a convex set and moduli for spherical minimal immersions,*Michigan Math. Journal, Vol.52 (2004) 341-359.*Moduli for spherical maps and minimal immersions of homogeneous spaces,*Journal of Lie Theory*(2002)**Infinitesimal rotations of isometric minimal immersions between spheres,*Amer. J. Math. 122 (2000) 117-152.- (with W. Ziller)
*Spherical minimal immersions of the 3-sphere,*Comment. Math. Helvetici 74 (1999) 1-34. *Universal constraints on the range of eigenmaps and spherical minimal immersions,*Trans. Amer. Math. Soc. Vol. 351, No. 4 (1999) 1423-1443.- (with H. Gauchman)
*Fine structure of the space of spherical minimal immersions,*Trans. Amer. Math. Soc. Vol. 342, No. 6 (1996) 2551-2563. *Eigenmaps and the space of minimal immersions between spheres,*Indiana Univ. Math. J. Vol. 43, No. 4 (1994).*Rigidity of minimal submanifolds in terms of higher fundamental forms,*Michigan Math. J. Vol. 40 (1993) 493-506.*Classification of quadratic harmonic maps of S^3 into spheres,*Indiana Univ. Math. J. Vol. 36, No. 2 (1987).*Operators on eigenmaps between spheres,*Compositio Math. 88 (1993) 317-322.