Budapest University of Technology and Economics Mathematical Institute Budapest, P. O. Box 91 H-1521 Hungary

Office: Building H, 5th floor Phone: +36.1.463.5671 Fax: +36.1.463.1780 E-mail: alex (dot) kuronya (at) math (dot) bme (dot) hu

Publications

• Zariski decomposition of b-divisors (with Catriona Maclean)
  http://xxx.lanl.gov/pdf/0807.2809
  
• Higher cohomology of divisors on a projective variety (with Tommaso de Fernex and Robert Lazarsfeld)
  http://xxx.lanl.gov/pdf/math.AG/0601140
  Mathematische Annalen 337 (2007), 443-455.
• A Briançon-Skoda type theorem for graded systems of ideals (with Alexandre Wolfe)
  http://xxx.lanl.gov/pdf/math.AG/0509282
  Journal of Algebra 307 (2007), 795-803.
• Asymptotic cohomological functions on projective varieties
  http://xxx.lanl.gov/pdf/math.AG/0501491
  American Journal of Mathematics 128 (2006), 1475-1519.
• Asymptotic cohomological functions of toric divisors (with Milena Hering and Samuel Payne)
  http://xxx.lanl.gov/pdf/math.AG/0501104
  Advances in Mathematics 207 (2006), 634-645.
• Zariski decompositions, volumes and stable base loci (.pdf) (with Thomas Bauer and Tomasz Szemberg)
  Journal für die reine und angewandte Mathematik 576 (2004), 209-233.
• A divisorial valuation with irrational volume (.pdf),
  Journal of Algebra 262 (2003), 413-423.
• Introduction to algebraic combinatorics (in Hungarian) (.pdf) (with Gábor Hegedüs)
  Electronic lecture notes (2003)
• Computing Levi decompositions in Lie algebras (.pdf) (with Willem de Graaf, Gábor Ivanyos and Lajos Rónyai) ,
  Applicable Algebra in Engineering, Communication and Computing 8 (1997), 291-304.

Expository/non-refereed publications

• Shokurov's reduction theorem to pre-limiting flips here
  
• An informal introduction to the minimal model program here
  
• Rational pullback and similarity of divisor classes (with Endre Szabó) here
  

Education

• Ph.D. in Mathematics, University of Michigan, 2004
• M.Sc. in Mathematics, Eötvös University (Budapest, Hungary), 1998
• M.Sc. in Computer Engineering, Technical University of Budapest (Hungary), 1995

Personal

• Curriculum Vitae (.pdf)

Teaching

Fall 2010

• Lattice semigroups in algebra and geometry (M.Sc. and Ph.D)
• Algebraic Topology (M.Sc. and Ph.D.)
• Representation theory (M.Sc.)
• Topology (at the Budapest Semesters in Mathematics)

Fall 2009

• Commutative algebra and algebraic geometry (M.Sc.)
• General and algebraic combinatorics (M.Sc.)
• Topology (at the Budapest Semesters in Mathematics)

Earlier terms