CURRICULLUM VITAE

NICOLAE POPESCU

Date and place of birth: 22.09.1937, Strehaia, Romania.
Permanent professional affiliation: Institute of Mathematics of the Romanian Academy, Bucharest, Romania, P. O. Box 1-764, RO-70700.
Home address: J. L. Calderon Str., No. 6, Ap. 34, 70202 Bucharest, Romania
Marital status: married, three children
Nationality: Romanian
Publications: 92 papers, 5 books

Details on scientific degrees and current employments:
•  Member of the Romanian Academy
•  M. S. in Mathematics 1964, University of Bucharest
•  Ph. D. in Mathematics 1967, University of Bucharest
•  Doctor Docent, 1972, University of Bucharest
•  Professor, Research position in the Institute of Mathematics of Romanian Academy since 1964

Unable to accept several visiting positions invitations due to impossibility to travel abroad (in the past). After 1989, visiting professor and several conferences in some Universities: Anvers ( Belgium ); Zurich ( Switzerland ); Mulhouse, Colmar, Strasbourg, Lyon, Rennes, Bordeaux, St. Etienne ( France ); Roma, l'Aquila, Bresanone ( Italia ); Novosibirsk, Barnaul ( Russia ); Munchen, Stuttgart, Heidelberg, Hagen, Dortmund, Bielefeld ( Germany ); Kuwait University ( Kuwait ); Naruto, Okayama ( Japan ); Johns Hopkins, Columbia, Illinois, UK ( U. S. A ); Almería, Granada ( Spain ), Ciudad de México ( México ).

Supervisor of (up to now 23) Ph. D. aspirants (beginning of 1971)

Leader of the seminar on Theory of Rings, Modules and Homological Algebra, the seminar on Representation Theory and since 1980 the seminar on Algebraic Numbers, Algebraic Functions and Valuation Theory.

Field of specialization: Theory of Categories, with Applications to Rings and Modules, Theory of Rings, Field and Polynomials, Valuation Theory, Theory of Numbers.

Further Field of Interest: Algebraic Topology, Algebraic Geometry, Commutative Algebra, K-Theory, Class-Field theory, Algebraic Function Theory.

Foreign languages: French, English and Russian.

NICOLAE POPESCU

PUBLICATIONS

  1. Asupra omologiei si omotopiei C.W. - complexelor , Studii si cercetari Mat., 1962. (with D. Burghelea)
  2. Diferentiale generalizate , Comunicarile Acad. R.S.R., Vol. 13, Nr. 6 (1963), 523-528. (with C. Banica)
  3. Module cu diferentiala generalizata, St. Cerc. Mat. Tom. 16 Nr. 6. (1964), 673-804.
  4. Modules avec differentielle generalisée Rev. Roum. Math. Pures et Appl. Nr. 6 (1964).
  5. Quelques considerations sur l'exactitude des foncteurs , Bull. Math. Soc. Sci. Math. Phis. de la R.P.R. 7 (1963), 144-147. (with C. Banica)
  6. Categorii cât , St. Cerc. Mat. 17 (1965), 951-985. (with C. Banica)
  7. Sur le catégories preabéliens , Rev. Roum. Math. Pures Appl., 10(1965), 621-633. (with C. Banica)
  8. Caractèrisation des catègories abèliennes avec gènèrateurs et limites inductives exactes , C. R. Acad. Sci. Paris 258(1964), 4188-4191. (with Pierre Gabriel)
  9. La localisation pour des sites , Rev. Roum. Math. Pures et Appl. 10(1965), 1031-1044.
  10. La structure des modules injectifs sur an anneau á ideal principal , Bull. Math. de la Soc. Sci. Math. Phys. de la RPR Tome 8(56), Nr. 1-2 (1964), 67-73. (with A. Radu)
  11. Morphismes et co-morphismes des topos abéliens , Bull. Math. de la Soc. Sci. Math. de la R.S.R. Tom 10(58) W 2 =4 (1996), 319-328. (with A. Radu)
  12. Elemente de teoria fascicolelor I , St. Cerc. Mat. (1966) 267-296.
  13. Elemente de teoria fascicolelor II , St. Cerc. Mat. (1966) 407-456.
  14. Elemente de teoria fascicolelor III , St. Cerc. Mat. (1966) 547-583.
  15. Elemente de teoria fascicolelor IV , St. Cerc. Mat. (1966) 647-669.
  16. Elemente de teoria fascicolelor V , St. Cerc. Mat. (1966) 945-991.
  17. Elemente de teoria fascicolelor VI , St. Cerc. Mat. (1967) 205-240.
  18. Sur la structure des objets de certaines catégories abéliennes , C.R. Acad. Sci. Paris 262(1966), 1295-1297. (with C. Nastasescu)
  19. Quelques observations sur les topes abéliens, Rev. Roum. Math. Pures Appl.12 (1967), 553-563. (with C. Nastasescu)
  20. Théorie générale de la décomposition , Rev. Roum Math. Pures et Appl. 12 (1967), 1365-1371.
  21. Les anneaux semi-artiniens , Bull. Soc. Math. France 96 (1968) 357-368. (with C. Nastasescu).
  22. Sur les epimorphismes plants d'anneaux , C.R. Acad. Sci. Paris 268 (1969) 376-379. (with T. Spircu).
  23. On the localisation ring of ring , J. of Algebra 15 (1970) 41-56. (with C. Nastasescu)
  24. Quelques observations sur les morphismes plats des anneaux , J. Algebra 16(1970), 40-59. (with T. Spircu)
  25. Le spectre gauche d'un anneau , J. Algebra 18(1971) 213-228.
  26. Les quasi-orders (á gauche) des anneaux , J. Algebra 17(1971), 474-481. (with D. Spulber)
  27. Les anneaux semi-noethèriens , C.R. Acad. Sci. Paris 272 (1971), 1439-1441.
  28. Sur les C. P. anneaux , C.R. Acad. Sci. Paris 272 (1971) 1493-1496.
  29. Théorie de la décomposition primaire dans les anneaux semi-noethèriens , J. Algebre 2399172), 482-492.
  30. Some remarks about semi-artinian rings , Rev. Roumaine Math. Pures et Appl. 17, nr. 9(1973), 1413-1422. (with C. Vraciu)
  31. Exemple de inele semi-artiniene , St. Cerc. Math. 26, nr.8 (1974), 1153-1157. (with T. Spircu)
  32. Quelques considérations sur les anneaux semi-artiniens commutatifs , C. R. Acad. Sci. Paris 276(1973), 1545-1548.
  33. Permanence Theorems for semi-artinian rings , Rev. Roum. Math. Pures et Appl. 21, nr.2 (1976), 227-231. (with T. Spircu)
  34. Sur la Structure des Anneaux Absolument plats commutatifs , J. Algebra 40 (1976), 364-383. (with C. Vraciu)
  35. Sur l'anneau des quotients d'un anneau noetherien (à droite) par rapport au système localisant associe à un idéal bilatéral premier , C.R. Acad. Sci. Paris.
  36. Some remarks about the regular ring associated to a commutative ring , Rev. Roumaine Math. Pures et Appl. 23(1978), 269-277. (with C. Vraciu)
  37. Sur la sous-categorie localisant associée a un idéal bilatéral premier dans un anneau noetherian (à droite), Rev. Roum. Math. Pures et Appl. T. XXVi, nr. 7 (1981), 1033-1042.
  38. Sur une problème d'Arens et Kaplansky concernant la structure de quelques anneaux absolument plats commutatifs , Rev. Roum. Math. Pures Appl., t. 27, nr.8 (1982), 867-874. (with C. Vraciu)
  39. Sur une classe de polynômes irréductibles , C.R. Acad. Sci. Paris, t. 297 (1983), 9-11.
  40. Galois theory of permitted extensions of commutative regular rings , Bull. Math. Soc. Sci. Math. R.S. Roumanie, t. 29 (77), nr.1 (1985), 121-135. (with C. Vraciu)
  41. On Dedekind domains in infinite algebraic extensions , Rend. Sem. Math. Univ. Padova, vol. 74 (1985), 39-44. (with C. Vraciu)
  42. On a problem of Nagata in valuation theory , Rev. Roum. Math. Pures et Appl. 31 (1986), 639-641.
  43. On subfields of k(X), Red. Sem. Mat. Univ. Padova, vol. 75 (1986), 257-273. (with V. Alexandru)
  44. On a class of intermediate Subfields , Studii si Cercetari Matematice, tom 39, Nr. 2 (1987), p.156-162. (with E.L. Popescu)
  45. Sur une clase de prolongements a K(X) d'une valuation sur un corps K , Rev. Roum. Math. Pures Appl. 33 (1988), 393-400. (with V. Alexandru)
  46. A theorem of characterization of residual transcendental extensions of a valuation , J. Math. Kyoto Univ. 28-4 (1988), 579-592. (with V. Alexandru and A. Zaharescu)
  47. Sur la définition des prolongements résiduels transcendent d'une valuation sur un corps K à K(X), Bull. Math. Soc. Sci. Math. Roumanie, t. 33 (1989), 257-264. (with E. L. Popescu)
  48. Minimal pairs of a residual transcendental extension of a valuation , J. Math. Kyoto , Univ., Vol. 30, (1990), 207-225. (with V. Alexandru si A. Zaharescu)
  49. All valuations on K(X), J. Math. Kyoto Univ. , Vol. 30 (1990), 281-296. (with V. Alexandru si A. Zaharescu)
  50. On the residual transcendental extensions of a valuation. Key polynomials and augmented valuation, Math. Tsukuba Univ. Vol. 15, No.1 (1991), 57-78. (with E.L. Popescu)
  51. On the extension of valuation on a field K to K(X), I Red. Sem. Mat. Univ. Padova, vol. 87 (1992), 151-168. (with C. Vraciu)
  52. On the structure of the irreducible polynomials over local fields , J. Number Theory, Vol. 52 No.1 (1995), 98-118. (with A. Zaharescu)
  53. The valuations on k(x,y) which are trivial on k , Proc. Conf. Algebra, Constanta , 1994.
  54. Some elementary remarks about n-local fields , Rend. Sem. Math. Univ. Padova, Vol. 91 (1994). (with V. Alexandru)
  55. A characterization of Generalized Dedekind Domains , Bull. Math. de la Soc. Sci. Math de la Roumanie, tome 35 (83), Nr.1-2 (1991), 139-141. (with E. L. Popescu)
  56. On a class of Prüfer domains , Rev. Roumaine Math. Pures et Appl. 29 (1984), 777-786.
  57. Sur une classe d'anneaux qui généralisent les aneaux de Dedekind, J. of Algebra, Vol.173, (1995), 44-66. (with M. Fontana)
  58. On the extension of a valuation on a Field K to K(X), II, Rend. Sem. Mat, Univ. Padova, Vol 96 (1996), 1-14. (with C. Vraciu)
  59. On the roots of a class of lifting polynomials , Fachbereich Math. Univ. Hagen , Band 63 (1998), 586-600. (with A. Zaharescu)
  60. Completion of a r. t. extention of a local field, I, Math. Z., Vol 221 (1996), 675-682. (with V. Alexandru and A. Popescu)
  61. Completion of a r. t. extention of a local field”, II, Rend. Sem. Mat. Univ. Padova, (1998). (with V. Alexandru and A. Popescu)
  62. On the main invariant of an element over a local field , Portugalia Mathematica, Vol. 54, Fasc. 1 (1997) 73-83. (with. A. Zaharescu)
  63. On the closed subfields of Cp , J. Number Theory, Vol 68 (1998), 131-150. (with V. Alexandru and A. Zaharescu)
  64. Sur une classe d'anneaux de Prüfer avec groupe de classes de torsion , Comm. Alg., 23 (1975), 4521-4533. (with M. Fontana)
  65. On a class of Domains Having Prüfer Integral closure, The FOR-Domains, Commutative ring Theory, Vol. 185, Lecture Notes in Pure and Appl. Math. Dekker 1996. (with M. Fontana)
  66. Invertible ideals and Picard group of generalized Dedekind domains , J. Pure and Appl. Alg. , Vol 135, Nr. 3 (1999), 237-251. (with S. Gabelli )
  67. The Lüroth's Theorem for some complete fields, in ''Abelian Groups, Module Theory and Topology , Editors Dikranian-Salce, Marcel Dekker Inc., 1998, 55-58. (with V. Alexandru)
  68. On minimal pairs and residually transcendental extensions of valuations ( Mathematika, 49(2002), 93-106 ) (with S. Khanduja and K.W. Roggenkamp)
  69. Nagata Transform and Localizing Systems , Comm. in Algebra, 30(5), (2002), 2297-2308 . (with Marco Fontana)
  70. Spectral extensions of p-adic valuation , Rev. Roum. Math. Pures et Apll, Vol. 46, Nr.6 (2001), 805-817. (with E. L. Popescu and C. Vraciu)
  71. Trace function on C p , 88, (2001), 13-48. (with V. Alexandru and A. Zaharescu)
  72. Spectral norms on valued fields, Math. Z., Vol 238 (2001), 101-114. (with V. Pasol and A. Popescu)
  73. The generating degree of Cp, Canad. Math. Bull. Vol. 44, (2001), 3-11. (with V. Alexandru and A. Zaharescu)
  74. Metric invariants in BdR+ associated to differential operators, Rev. Roum. Math. Pures Appl. 33 (1988), 393-400. (with V. Alexandru and A. Zaharescu)
  75. Good elements and metric invariants in BdR+ , J. Math. Kyoto Univ, vol 43, Nr. 1 (2003), 125-137. (with V. Alexandru and A. Zaharescu)
  76. On afine subdomains (to appear) (with G. Groza)
  77. A representation theorem for a class of rigid analytic functions , (with V. Alexandru and A. Zaharescu) (J. Th. Nombres Bordeaux 15 (2003), 639-650
  78. On the spectral norm of Algebraic Numbers (to appear Math. Nachtr.) (with A. Popescu and A. Zaharescu)
  79. Universal Property of the Kaplansky Ideal Transform and Affiness of Open Subsets , J. Pure and Appl. Alg. , 173, (2002), 121-134. (with Marco Fontana)
  80. Metric invariants over Henselian valued Fields , J. Of Algebra, 266 (1), (2003), 14-26. (with A. Popescu and A. Zaharescu)
  81. Chains of metric invariants over a local field, Acta Arithmetica , 103 (1), (2002), 27-40. (with A. Popescu, M. Vajaitu and A. Zaharescu),
  82. Transcendental divisors and their critical functions , Manuscripta Math., 110 (4), (2003), 527-541. (with A. Popescu and A. Zaharescu)
  83. The Galois Action on plane Compacts (to appear in J. of Algebra ) (with A. Popescu and A. Zaharescu)
  84. Total Valuation rings of K(X,d) containing K , (to appear in Comm. in Algebra) (with S. Kobayashi , H. Marubayashi and C. Vraciu)
  85. Total valuation Rings of Ore extensions , Result Math., 43 (2003), 373-379. (with S. Kobayashi , H. Marubayashi and C. Vraciu and G. Xie)
  86. Non-commutative valuation rings of the quotient artinian ring of a skew polynomial ring ( to appear in Journal of Algebra and Representation Theory) (with S. Kobayashi , H. Marubayashi and C. Vraciu and G. Xie)
  87. The structure of localization systems of a class of Prüfer Domain (to appear) (with H. Marubayashi and E. L Popescu)
  88. On the existence of trace for elements of Cp (to appear) (with M. Vajaitu and A. Zaharescu)
  89. Trace Series on Qk , Result in Math., 43 (2003), Nr 3-4, 331-341. (with A. Popescu and A. Zaharescu)
  90. A Galois theory for the Banach Algebra of continuous symmetric functions on absolute Galois Group (to appear) (with A. Popescu and A. Zaharescu)
  91. On the continuity of the trace ( to appear in Proceeding Romanian Academy ) (with V. Alexandru, E. L Popescu )
  92. A new characterization of spectral extension of p-adic valuation ( to appear in Proc. Conference in Math. Lahore , 18-20 mars 2004) (with E. L Popescu)

BOOKS

  1. Elemente de teoria analitica a numerelor , Univ. Bucuresti, 1968.
  2. Teoria categoriilor si teoria fascicolelor , Ed. Stiintifica, 1971.
  3. Categorii Abeliene , Ed. Academiei, 1971.
  4. Abelian categories with Applications to Rings and Modules, Academic Press, L. M. S. Monograph No.3, London , 1973.
  5. Theory of Categories , Editura Academiei R.S.R and Sijthoff et Noordhoff, Olanda, 1979. (with E. L. Popescu).
  6. Selected topics in valuation theory (to appear).