Maria Papatriantafillou

Associate Professor

Department of Mathematics

University of Athens


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                                                                                                                                                                   Βιογραφικό Σημείωμα


Some personal information


Postal address: University of Athens, Department of Mathematics, Panepistimiopolis, GR-157 84 Athens, Greece

Phone: ++ 210 7276349



research interests: Differential Geometry of infinite dimensional manifolds, Geometry of non smooth spaces



Short curriculum vitae


Date/Place of Birth: 27 October 1955, Athens

Marital Status: Married to Efstathios Vassiliou. One child

Private Address: 24 Aristarchos Str., Argyroupolis, 164 51 Athens, Greece



B.Sc. (Mathematics) 1978, University of Athens

Ph.D. (Mathematics) 1986, University of Athens


Reviewer of

Mathematical Reviews

Zentralblatt fur Mathematik


Foreign Languages

English and French. Elementary knowledge of Italian, German and Russian





research articles


Methods of differentiation in topological ${\Bbb A}$-modules. Bull. Soc. Math. Gr\`ece (N.S.) 27 (1986), 95-110 (MR: 89c:46066)

Finsler structures on ${\Bbb A}$-bundles. Math. Nachr. 130 (1987), 75-85 (MR: 89d:58013)

Translation invariant topologies on commutative $*$-algebras. Period. Math. Hungar. 23 (1991), no. 3, 185-193 (MR: 93d:46091)

Differentiation in modules over topological $*$-algebras. J. Math. Anal. Appl. 170 (1992), no.1, 255-275 (MR: 93i:46138)

A Serre-Swan theorem for bundles of topological modules. Math. Nachr. 156 (1992), 297-305 (MR: 94j16075)

A reduction theorem for hermitian structures on ${\Bbb A}$-bundles. Boll. Un. Mat. Ital. A (7) 8 (1994), no. 1, 1-9 (MR: 95e:46064)

The de Rham complex in function spaces. N.Artemiadis - N.Stefanidis Editors, Proc. 4th Intern. Congress of Geometry, (Thessaloniki, 1996), 336-345, Thessaloniki, 1997 (MR: 98i:58009)

Connections on ${\Bbb A}$-bundles. New Developments in Differential Geometry, Budapest 1996 (J. Szenthe Editor), Kluwer (1998), 307-316 (MR: 99m:58015).

Partitions of unity on ${\Bbb A}$-manifolds. Intern. J. Math. 9 (1998), 877-883 (MR: 99i:58006).

On the de Rham complex in abstract spaces. J. Math. Sci. (New York) 95(1999), no. 6, 2681-2689 (MR: 2000k:58003).

Bump-functions on certain infinite dimensional manifolds. Period. Math. Hungar. 38 (3), (1999), 223-230 (MR: 2001c:58006).

The category of differential triads. Bull. Greek Math. Soc. 44 (2000) 129-141.

Hermitian structures and compatible connections on ${\Bbb A}$-bundles. Proceedings of the workshop on global analysis, differential geometry, Lie algebras, Thessaloniki, 1998. Bucharest: geometry Balkan Press. BSG Proc. 4, 65-75 (2000).

Connections on ${\Bbb A}$-frame bundles. Sc. Math. Jap. 54(1) (2001), 29-38.

Projective and inductive limits of differential triads. Steps in Differential Geometry. Proceedings, Debrecen, 2000 (L. Kozma, P.T.Nagy and L. Tam\`assy Editors), Debrecen, 2001, 251-262.

Initial and final differential structures. International Conference on Tpological algebras and Applications (ICTAA) 2000, 115-123, Publ. \'Ecole Norm. Sup., Rabat (Maroc), 2004.


Homotopy classification of module bundles via Grassmannians (preprint)

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