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Valeriu Soltan

Professor

Office: Exploratory Hall, Room 4202

E-mail: vsoltan@gmu.edu

 

Teaching in the fall of 2017

Graduate research projects in discrete geometry

  • These can be found here.

Research interests

Convex and discrete geometry: convex sets in n dimensions, special classes of convex sets, various problems of discrete geometry. Selected publications:

  • The Erdos-Szekeres problem, In: John Nash and Michael Rassias (eds), Open Problems in Mathematics, pp. 351-375, Springer, 2016 (with W. Morris).

  • Lectures on Convex Sets. World Scientific, Hackensack, NJ, 2015.

  • Convex sets with homothetic projections. Beitrage Algebra Geom. 51 (2010), 237-249.

  • Convex solids with planar midsurfaces. Proc. Amer. Math. Soc. 136 (2008), 1071-1081.

  • Affine diameters of convex bodies--a survey. Expo. Math. 23 (2005), 47-63.

  • Antipodality properties of finite sets in Euclidean space. Discrete Math. 290 (2005), 221-228 (with H. Martini).

  • The Erdos-Szekeres problem on points in convex position--a survey. Bull. Amer. Math. Soc. 37 (2000), 437-458 (with W. Morris)

  • Combinatorial problems on the illumination of convex bodies. Aequationes Math. 57 (1999), 121-152 (with H. Martini).

  • Geometric Methods and Optimization Problems. Kluwer, Dordrecht, 1999 (with V. Boltyanski and H. Martini).

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