Office: Exploratory Hall, Room 4202
Please visit George Mason Blackboard for this semester courses.
Convex and discrete geometry: convex sets in n dimensions, special classes of convex sets,
various problems of discrete geometry. Selected publications (see also ResearchGate):
Characteristic properties of ellipsoids and convex quadrics, Aequationes Math. 93 (2019), 371-413.
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.
Affine diameters of convex bodies--a survey, Expo. Math. 23 (2005), 47-63.
Combinatorial problems on the illumination of convex bodies, Aequationes Math. 57 (1999), 121-152 (with H. Martini).
Minimum convex partition of a polygon with holes by cuts in given directions, Theory Comput. Syst. 31 (1998), 507-538 (with A. Lingas).
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).