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Adrian-Sorin DUMA
Ph.D.
Department of Mathematics,University of Craiova,Romania
A.I.Cuza,13
Craiova 200585, Romania
cell phone: 0040740664704
http://www.angelfire.com/journal/mathematics



at ady@royal.net


M a t h e m a t i c i a n s
a r e B O R N ,
n o t M A D E .
-- Henri Poincare

Contents of this document

I am currently a Lecturer in the Department of Mathematics of the University of Craiova, Romania. My office is in room 309 of the Central Building. I received my Ph.D. degree in Mathematical Analysis from Bucharest University (Romania) in 1997, under the supervision of Academician Professor Romulus Cristescu.

AFFILIATIONS:

- International Federation of Nonlinear Analysts (IFNA), since 1992.

- American Mathematical Society (AMS), since 1999.

I am also a reviewer for Zentralblatt fur Math.

RESEARCH GRANTS:

- University Jean Monnet of Saint-Etienne and ENS Lyon, France (January-June 1992)

- University Paris VI (Pierre et Marie Curie), France (1-31 May, 1998)

- University Paris VI (Pierre et Marie Curie), France (April-July 2000)

Also, in the summer of 1996, I participated with a 45-minutes invited talk at the Second World Congress of Nonlinear Analysts (WCNA-96), organized by IFNA in Athens (Greece)

Research Interests

I think it is very difficult to evaluate a mathematician or a part of mathematics. There are a lot of beautiful things to be done in mathematics. And mathematics is, basically, individual. I don't believe you can do mathematics with a group.

I have no difficulty in doing mathematics, so when I do mathematics, I enjoy it. And therefore I'm always doing mathematics, because the other things I cannot do. There is nothing else I can do well. And I think this will be true throughout my life.

My main research interests are in :

Nonlinear Functional Analysis

Axiomatic Topological Degree Theory

Nonlinear Evolution Equations

Bases in Banach Spaces

Nonlinear Operators of Monotone Type

2004 Publications

  • "Non-decomposable inner product spaces", Adrian Duma and Cristian Vladimirescu, Math. Sci. Res. J. 8(2) (2004), pp.67-84

  • "Hammerstein equations in nonreflexive Banach spaces", Adrian Duma and Cristian Vladimirescu, An. Univ. Craiova Ser. Mat. Inform. 30(2003), no. 2, pp. 85-89

  • "Building super-additive manifolds", Adrian Duma and Ileana Diamandescu, An. Univ. Craiova Ser. Mat. Inform. 30(2003), no. 2, pp. 71-84

  • "Sur les isometries non-lineaires", Adrian Duma and Cristian Vladimirescu, Rev. Roumaine Math. Pures Appl., 49 (2004), 5-6, pp.447-454 (in French)

    2003 Publications

  • "Approximation structures and applications to evolution equations" by Adrian Duma and Cristian Vladimirescu, Abstract and Applied Analysis, Volume 2003, Number 12(2003), pp.685-696.

  • "Semi-numerical approximation structures for nonlinear noncompact operators in Banach spaces" by Adrian Duma and Cristian Vladimirescu, Numerical Functional Analysis and Optimization, Vol. 24, Nos. 7 & 8, pp. 725-746, 2003.

  • "Homotopical structures in categories", Adrian Duma and Cristian Vladimirescu, Topology Atlas Preprint # 532.

  • "Treatment of the fields having the Hahn-Banach property", Adrian Duma and Cristian Vladimirescu, Nonlinear Functional Analysis and Applications (NFAA), Vol.8, No.4, December 2003, pp.623-634.

  • "Pre-numerical methods in the theory of nonlinear operators", Adrian Duma and Cristian Vladimirescu, Math. Sci. Res. J. 7(5)(2003), pp.173-194.

  • "Fixed point free nonlinear contractions on Krein-like spaces", Adrian Duma and Cristian Vladimirescu, Anal. Univ. Craiova, XXIX(2002), pp. 91-106.

    Selected Earlier Publications

    (according to www.ams.org & www.emis.de)

    Papers in Preparation

    Courses and Seminars

    During the last twelve years I taught several courses and seminars within the Department of Mathematics of the University of Craiova, Romania. Among them:

    COURSES

    SEMINARS

    Non-mathematical Interests

    CHESS

    ACTION MOVIES

    MUSIC (especially Madonna, Eminem and Jay-Z)

    FOOD (especially pizza)

    HISTORY

    PHILOSOPHY

    Some nice mathplaces to visit on the web

    Favorite quotations: A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street. -- David Hilbert

    The faculty is not a pool changing room. One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it. -- David Hilbert

    Do not lose your faith. A mighty fortress is our mathematics. Mathematics will rise to the challenge, as it always has. -- Stan Ulam

    One may be a mathematician of the first rank without being able to compute. It is possible to be a great computer without having the slightest idea of mathematics. -- Novalis

    Brouwer's Theorem: Every function from [0,1] to R is uniformly continuous.

    No one shall expel us from the paradise that Cantor has created for us. -- David Hilbert

    We do not believe that this world is created and ruled by a God. -- The World Buddhist Council, Sri Lanka, 1966

    Last Modified: March 15, 2005.

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