discipline 
MSC in
Mathematics, Pure Mathematics, Elective Course

subject 
Geometry
of Numbers 
lecturers 
Dr. Károly Bezdek (professor), Dr. Károly Böröczky (professor), Dr. Károly Böröczki Jr. (associate professor), Dr. Gábor Kertész (assistant professor). 
credits 
2 
period 
4th semester 
curriculum 
Successive minima, Minkowski’s first and second theorem,
Mahler’s selection theorem, MinkowskiHlawka theorem. Extremal bodies, the
VenkovMcMullen characterization of parallelohedra. Reduction theory (Hermite,
Minkowski and Lovász reduced basis). Covering radius. Quadratic forms. Number
of lattice points in lattice polytopes, Pick’s formula, Ehrhart’s formula. 
literature 
P.M. Gruber,
C.G. Lekkerkerker: Geometry
of numbers. NorthHolland,
1987. 
form of tuition 
Two hours of lecture per week. 
mode of assessment 
oral exam 