Skip to Content
Mathematics
home > return to last page

Val Soltan

Professor

Office: Science & Technology Building I, Room 241

Phone: (703) 993-1474

Fax: (703) 993-1491

E-mail: vsoltan@gmu.edu

Degree

  • Dr., 1985, Academy of Sciences of Moldova, Generalized Convexity.

Research

Convex and Discrete Geometry:

  • convex sets in n dimensions
  • special classes of convex sets
  • various problems of discrete geometry

Teaching

Some Recent Papers

  • Convex sets with homothetic projections, Beiträge Algebra Geom. 51 (2010) and arXiv:0903.2836v1, 2009. [pdf]

  • Convex solids with planar homothetic sections through given points, J. Convex Anal. 16 (2009), 473-486. [pdf]

  • The intersection of convex transversals is a convex polytope, Beiträge Algebra Geom. 50 (2009), 283-294 (with J. Lawrence). [pdf]

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

  • Line-free convex bodies with centrally symmetric intersections of translates, Rev. Roumaine Math. Pures Appl. 51 (2006), 111--123. [pdf]

  • Isothetic parallelotopes and the binary intersection property, Acta Sci. Math. (Szeged) 72 (2006), 373--385. [pdf]

Books and Selected Surveys

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

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

  • Geometric methods and optimization problems, Kluwer Academic Publishers, Combinatorial Optimization Series, 1998, 429 pp. (with V. Boltyanski and H. Martini).

  • Introduction to the axiomatic theory of convexity, Stiinta, Chisinau, 1984, 224 pp.

Presentations

  • Invited talks at Courant and Polytechnic Institutes of New York University (2009).

  • Invited talks at University College London, Rényi Institute of Mathematics, Universities of Technology in Dresden, Chemnitz, and Munich (all in the fall of 2007).

  • AMS Meetings: Middletown, CT (2008), Vancouver, BC (2008), Hoboken, NJ (2007), Durham, NH (2006), Pittsburgh, PA (2004), Lawrenceville, NJ (2004), San Francisco, CA (2003), Baltimore, MD (2003), Boston, MA (2002).

  • Banff workshops: Transversal and Helly-type theorems (2009), Intuitive geometry (2007), Convex sets and their applications (2006), Convex and abstract polytopes (2005).

Awards

  • Various research grants from DAAD, DFG, HHS (all German science foundations), Royal Society of Sweden, Hungarian and Romanian Academies.

  • First prize laureate of the Academy of Sciences of Moldova (1980).

Activities

Ph.D. Students

  • Sorin Revenko, Helly-type theorems on the existence of support lines for families of convex bodies in the plane, 2002.
  • Iacob Ceban, Combinatorial extremal problems in graphs and their applications, 1995.
  • Anatolie Sochirca, d-convex analysis in triangulated graphs, 1995.
  • Anatolie Prisacaru, Special decompositions of geometric objects into minimum number of convex sets, 1994.
  • Alexei Gorpinevich, Partitions of polygonal regions into convex pieces, 1993.
  • Manh Hung Nguyen, Affine diameters of convex bodies, 1990.

 

 

  College of Arts and Sciences
Department Home