

Valeriu Soltan
Professor
Office: Exploratory Hall, Room 4202
Email: vsoltan@gmu.edu

Teaching in the fall of 2018
Research interests
Convex and discrete geometry: convex sets in n dimensions, special classes of convex sets,
various problems of discrete geometry. Selected publications (see also ResearchGate):
The ErdosSzekeres problem. In: John Nash and Michael Rassias (eds), Open Problems in Mathematics, pp. 351375, Springer, 2016 (with W. Morris).
Lectures on Convex Sets. World Scientific, Hackensack, NJ, 2015.
Affine diameters of convex bodiesa survey. Expo. Math. 23 (2005), 4763.
Antipodality properties of finite sets in Euclidean space. Discrete Math. 290 (2005), 221228 (with H. Martini).
The ErdosSzekeres problem on points in convex positiona survey. Bull. Amer. Math. Soc. 37 (2000), 437458 (with W. Morris).
Combinatorial problems on the illumination of convex bodies. Aequationes Math. 57 (1999), 121152 (with H. Martini).
Geometric Methods and Optimization Problems. Kluwer, Dordrecht, 1999 (with V. Boltyanski and H. Martini).
Minimum convex partition of a polygon with holes by cuts in given directions. Theory Comput. Syst. 31 (1998), 507538 (with A. Lingas).
Minimum dissection of a rectilinear polygon with arbitrary holes into rectangles. Discrete Comput. Geom. 9 (1993), 5779 (with A. Gorpinevich).
Service
Member of the editorial board of the journal Contributions to Algebra and Geometry
Coorganizer of AMS special sessions: Convexity and combinatorics (Washington, DC, 2015),
Convex and discrete geometry (Washington, DC, 2012),
Convexity and combinatorics (Richmond, VA, 2010),
Convex and discrete geometry (Washington, DC, 2009),
Convex sets (Hoboken, NJ, 2007),
Recent trends in convex and discrete geometry (San Antonio, TX, 2006),
Convexity and combinatorics (Pittsburgh, PA, 2004).
