Adrian-Sorin DUMA
Ph.D.
Department of Mathematics,University of Craiova,Romania
A.I.Cuza,13
Craiova 200585, Romania
cell phone: 0040740664704
https://www.angelfire.com/journal/mathematics
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)
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.
"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)
"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.
"Sums of contractions", An. Univ. Craiova Ser. Mat. Inform. 25
(1998), 19--23.
"A generalised homotopy theory", Proceedings of the Second World
Congress of Nonlinear Analysts, Part 8 (Athens, 1996). Nonlinear Anal. 30 (1997),
no. 8, 4937--4948.
"Zeeman's theorem in nondecomposable spaces", J. Korean Math.
Soc. 34 (1997), no. 2, 265--277.
"Mappings which preserve the topological degree", Stud. Cerc. Mat.
48 (1996), no. 5-6, 313--318.
"On the embedding of degree theories", An. Univ.
Craiova Ser. Mat. Inform. 23 (1996), 28--35 (1998).
"Degree theory from an axiomatic viewpoint", Stud. Cerc. Mat. 46
(1994), no. 3, 339--346.
"Banach spaces with topological degree", An. Univ. Craiova Ser. Mat.
Inform. 20 (1993), 31--43 (1995).
"Applications in the Browder-Petryshyn degree
theory. Surjectivity theorems", (Romanian) An. Univ. Craiova Ser. Mat. Inform. 19
(1991/92), 21--25 (1994).
"A surjective topological degree for
discontinuous functions", An. Univ. Craiova Ser. Mat. Inform. 19 (1991/92), 26--28
(1994).
"On the isometric theory of indefinite inner product spaces", An. Univ.
Craiova Ser. Mat. Inform. 18 (1990), 18--26.
During the last twelve years I taught several courses and seminars within the Department of Mathematics of the University of Craiova, Romania. Among them:
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
at
ady@royal.net
Research Interests
on it.
