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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

Selected Research Articles

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

  • Pairs of convex bodies with centrally symmetric intersections of translates, Discrete Comput. Geom. 33 (2005), 605-616. [pdf]

  • The characteristic intersection property of line-free Choquet simplies in Ed, Discrete Comput. Geom. 29 (2003), 561-573. [pdf]

  • On Grünbaum's conjecture about inner illumination of convex bodies, Discrete Comput. Geom. 22 (1999), 403-410. (with V. Boltyanski and H. Martini) [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 University College London, Rényi Institute of Mathematics, Universities of Technology in Dresden, Chemnitz, and Munich (all in the fall of 2007).

  • AMS Meetings (Hoboken-2007, Durham-2006, Lawrenceville-2004, Pittsburgh-2004, San Francisco-2003, Baltimore-2003, Boston-2002).

  • Banff workshops: Intuitive geometry (2007), Convex sets and their applications (2006), Convex and abstract polytopes (2005).

  • Second Joint Meeting of AMS, DMV, and ÖMG (Mainz/Germany-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 (Convex Geometry, 2002), Ion Ciobanu (Graph Theory, 1995), Anatol Sochirca (Convexity in Graphs, 1995), Anatol Prisacaru (Convexity in Graphs, 1994), Alex Gorpinevich (Computational Geometry, 1993), Mahn Hung Nguyen (Convex Geometry, 1990).

 

 

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