Dikran Dikranjan

Professore ordinario
Email: dikran.dikranjan@uniud.it
Stanza: SN17
Telefono: +39 0432 558488

Sito personale: www.dimi.uniud.it/dikranja/

Breve curriculum

  • M.Sc. in Mathematics, University of Sofia, June 1973,
  • Ph.D. in Mathematics, University of Sofia, April 1978.
Professional History:
  • 1978 - 1986 Research Fellow, Institute of Mathematics, Bulgarian Academy of Sciences, Sofia.
  • 1986 - 1992 Senior Research Fellow (Associate Professor), Institute of Mathematics, Bulgarian Academy of Sciences.
  • 1992 - 2000 Associate Professor in Algebra, University of Udine.
  • 2000 - present Professor in Algebra, University of Udine.

Attività di ricerca

Algebraic aspects of Topological Groups, Rings and Modules
  • Algebraic structure of topological groups
  • Description of linear compactness of rings through endomorphisms
  • Minimal topologies on rings and their connection to Krull dimension
Combinatorial aspects of (topological and abstract) groups
  • Connections between the algebraic structure of topological groups and some of their functorial posets
  • Large and small sets in (topological and abstract) groups
  • Combinatorial properties of continuous maps between groups endowed with functorial topologies
Compact groups and their generalizations
  • minimal groups and compact representations of groups
  • countably compact groups and pseudocompact groups
  • compact group close to Lie groups
  • the impact of compactness-like properties of the topological groups on their dimension and (dis)connectedness
Category theory
  • Closure operators and their application to algebra, topology and discrete mathematics
  • Dualities between categories of topological modules
Uniform and quasi uniform spaces
  • Uniform continuity and its generalizations
  • Cowell-poweredness of categories of quasi uniform spaces

Progetti di ricerca

Collaborative research grant of NATO (NATO CRG 950347) for the project ``Topological and algebraic representation theorem and their applications" in 1995-96, extended for 1997-98 (for collaboration with the University of West Virginia, USA). Research grant of Italian MURST (Ministry of University and Scientific and Technological Research) for 1998 for the project ``Ring Theory, modules and abelian groups: homological, topological and categorical methods" Research grant of Italian MURST (Ministry of University and Scientific and Technological Research) for 2000 for the project ``Nuove prospettive nella teoria degli anelli, dei moduli e dei gruppi abeliani" Research grant of Italian MURST (Ministry of University and Scientific and Technological Research) for 2002 for the project ``Sottogruppi dei gruppi compatti" Research grant of Italian MURST (Ministry of University and Scientific and Technological Research) for 2005 for the project ``Argumenti scelti sui gruppi topologici e anelli di funzioni"

Aree di ricerca della matematica

  • Teoria dei gruppi
  • Teoria delle categorie
  • Topologia generale