Prof.
Dikran Dikranjan
email:
Telefono +39 0432 558488
Stanza: SN 17
Sito web personale: http://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.
Attivita' 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"
