beligiannis.html

Apostolos Beligiannis

Associate Professor
Ph.D., University of Ioannina,
Greece (1995).
Curriculum Vitae

Contact Information: Department of Mathematics, University of Ioannina,
                                           GR-45110 Ioannina, Greece.
                                           Office: 409 δ' (4th floor), Math Department Building
   Email: abeligia at   cc.uoi.gr.
         Phone: +30 26510 08227
         Fax:     +30 26510 08203.

Research Interests

Representation Theory of Artin Algebras
Ring and Module Theory
Homological Algebra and Triangulated Categories
Torsion Theories and Tilting
Stable Homotopy Theory
Homotopical Algebra:

Quillen's Closed Model Categories
Abstract Homotopy Theory

Non-Commutative Geometry
Category Theory

Διδασκαλία (2011-2012)

Χειμερινό Εξάμηνο:

[121] ΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ Ι

Εαρινό Εξάμηνο:

[221] ΓΡΑΜΜΙΚΗ ΑΛΓΕΒΡΑ ΙΙ
[ΑΛ2] ΑΛΓΕΒΡΑ ΙΙ (Μεταπτυχιακό Μάθημα)

Seminar Algebra and Geometry

Academic Year 2009-2010

Academic Year 2010-2011

Academic Year 2011-2012

Students

Master Students:

Chrysostomos Psaroudakis (M. Sc. 2007). MSc Dissertation: "Tilting Theory and the Theorem of Rickard-Keller for Derived Categories", (2007), 212 pages (in Greek)
Aliki Samartsidou (M. Sc. 2009). MSc Dissertation: "Representations of Quivers and Gabriel's Theorem", (2009), 180 pages (in Greek)

Ph.D Students:

Chrysostomos Psaroudakis (2008 - ).

Published Papers

A. Beligiannis: ''Stable Categories of Abelian Categories'', Ph.D., University of Ioannina, Greece, (1995), 285 pages (in Greek).
A. Beligiannis and N. Marmaridis: ''On Left Derived Categories of a Stable Category'', Proc. ICRA VI, Carlton-Ottawa Math. Lect. Note Series, No 14, (1992), 31 pages.
A. Beligiannis and N. Marmaridis: ''Left Triangulated Categories Arising From Contravariantly Finite Subcategories'', pdf, Communications in Algebra 22 (1994), pp. 5021-5036.
A. Beligiannis and N. Marmaridis: ''Grothendieck Groups Arising From Contravariantly Finite Subcategories'', pdf, Communications in Algebra 24, (1996), pp. 4415-4438.
A. Beligiannis, N. Marmaridis and I. Assem: ''Right Triangulated Categories with Right Semi-equivalences'', pdf, Algebras and Modules II, (Geiranger 1996), CMS Conf. Proc. 24, Amer. Math. Soc., Providence, RI (1998), pp. 17-37.
A. Beligiannis: ''Relative Homological Algebra and Purity in Triangulated Categories'', pdf, Journal of Algebra 227, (2000), pp. 268- 361.
A. Beligiannis: ''On the Relative Homology of Cleft Extensions of Rings and Abelian Categories'', pdf, Journal of Pure and Applied Algebra, 150, (2000), pp. 237-299.
A. Beligiannis: ''Cleft Extensions of Abelian Categories and Applications to Ring Theory'', pdf, Communications in Algebra 28, (2000), pp. 4503-4546.
A. Beligiannis: ''The Homological Theory of Contravariantly Finite Subcategories: Gorenstein Categories, Auslander-Buchweitz Contexts and (Co-)Stabilization'' pdf, Communications in Algebra 28, (2000), pp. 4547-4596.
A. Beligiannis: ''On the Freyd Categories of an Additive Category'', pdf, Homology, Homotopy and Applications Vol. 2, No.11 (2000), pp. 147-185.
A. Beligiannis: ''Homotopy Theory of Modules and Gorenstein Rings'', pdf, Mathematica Scandinavica 89, (2001), pp. 5-45.
A. Beligiannis: ''Stable Equivalences and Stable Grothendieck Groups'', pdf, Communications in Algebra 30, (2002), pp. 205-236.
A. Beligiannis: ''Purity and Almost Split Morphisms in Abstract Homotopy Categories: A Unified Approach via Brown Representability'', pdf, Algebras and Representation Theory 5, (2002), pp. 483-525.
A. Beligiannis and H. Krause: ''Realizing Maps Between Modules over Tate Cohomology Rings'', pdf, Beitrage Algebra Geom. Vol. 44, No. 2, (2003), pp. 451-466.
A. Beligiannis: ''Auslander-Reiten Triangles, Ziegler Spectra and Gorenstein Rings'', pdf, K-Theory 32, (2004), 1-82.
A. Beligiannis: ''Cohen-Macaulay Modules, (Co)Torsion Pairs and Virtually Gorenstein Algebras'', pdf, Journal of Algebra Vol. 288, No.1, (2005), pp. 137-211.
A. Beligiannis and I. Reiten: ''Homological and Homotopical Aspects of Torsion Theories'', pdf, Memoirs of the American Mathematical Society, Vol. 188, (2007), 207 pp.
A. Beligiannis and H. Krause: "Thick Subcategories and Virtually Gorenstein Algebras", pdf, Illinois Journal of Mathematics, Vol. 52, No. 2, (2008), pp. 551-562.
A. Beligiannis: ''On Algebras of Finite Cohen-Macaulay Type'', pdf, Advances in Mathematics 226, No.2, (2011), pp. 1973-2019.
A. Beligiannis: ''Relative Homology and Higher Cluster Tilting Theory'', preprint, University of Ioannina, Greece, (2010), 47 pages.
A. Beligiannis: "Tilting Theory in Abelian Categories and Related Homological Structures'', preprint, University of Ioannina, Greece, (2010), 135 pages.

Preprints - Work in Progress

A. Beligiannis: ''Relative Homology, Tilting Objects and Freyd's Generating Hypothesis'', preprint in preparation.

People

Journals


Journal of Algebra Communications in Algebra Journal of Pure and Applied Algebra Algebras and Representation Theory Algebra Monpellier Announcements Algebra and Discrete Mathematics Journal of Algebra and Its Applications Algebra and Number Theory Algebra and Discrete Mathematics Contributions to Algebra and Geometry Representation Theory Transformation Groups Algebra and Logic Linear Algebra and its Applications Journal of Group Theory Topology Journal of Topology Topology and its Applications Compositio Mathematica K-Theory Journal of K-Theory Geometry & Topology Homology, Homotopy and Applications Journal of Homotopy and Related Structures Cahiers de Topologie et Geometrie Differentielle Categoriques Algebraic and Geometric Topology Applied Categorical Structures Theory and Applications of Categories Advances in Geometry Journal of Lie Theory Kluwer Journals Springer Journals IMPAN Journals International Press Journals IOPScience MathSciNet - 2010 Mathematics Subject Classification	Annals of Mathematics American Journal of Mathematics Advances in Mathematics Publications Mathematiques de L' IHES Archiv der Mathematik Commentarii Mathematici Helvetici Inventiones Mathematicae Manuscripta Mathematica Mathematische Annalen Mathematische Zeitschrift Selecta Mathematica Forum Mathematicum Colloquium Mathematicum Mathematica Scandinavica Journal fόr die Reine und Angewandte Mathematik Canadian Journal of Mathemtics New York Journal of Mathematics Pacific Journal of Mathematics Illinois Journal of Mathematics Annales Scientifiques de l'Ecole Normale Superieure Documenta Mathematica Publicacions Matematiques Bulletin of the Belgian Mathematical Society Communications in Mathematical Physics Advances in Theoretical and Mathematical Physics Letters in Mathematical Physics Project Euclid Journals Rendiconti (Trieste) Rendiconti (Padova) Russian Journals LMS Journals AMS Journals JSTOR Elsevier Journals (Science Direct) Electronic Journals (EMIS) Zentralblatt MATH

Preprints - Free Online Papers

Conferences and Meetings

4th Panhellenic Conference on Algebra and Number Theory, University of Patras, May 30 - June 2 2002.
Algebra Conference, Venezia, Italy: June 3 - 8, 2002.
Conference on Representation Theory of Algebras and Related Topics (ICRA X), Fields Institute, Toronto: July 15 - August 10, 2002.
International Congress of Mathematicians 2002, Beijing, China: August 20 - 28, 2002.
International Conference on Algebra, (Satellite Conference of ICM 2002).
Noncommutative Geometry and Rings, University of Almeria, Spain: September 2 - 8, 2002.
Twenty Years of Tilting Theory, Fraueninsel, Germany: November 18 - 22, 2002.
Workshop on representations of finite dimensional algebras, Warwick, UK: December, 8-14, 2003.
International Algebraic Conference, Moscow, 26 May-2June 2004.
Representation Theory and its Applications, Uppsala, Sweden: 22-27 June 2004.
Summer school: Interactions between homotopy theory and algebra, University of Chicago, USA: July 26 through August 6, 2004.
ICRA XI (Workshop and Conference), Mexico, August 11 - 20, 2004.
Non commutative artinian algebras, representations and cohomologies, IRM, Luminy, France: September 13-17, 2004.
Perspectives in Mathematics: Algebras and Representations, Conference dedicated to the 60th birthday of Claus Michael Ringel, Bielefeld, 4-5 February, 2005.
Representation Theory of Finite-Dimensional Algebras, Oberwolfach, Germany, February 06-12, 2005.
Upcoming Conferences and Workshops [FDList]

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Last Modified: October 2011