English Version


Data si locul nasterii: 14.07.1960, Bucuresti.

Studii: Facultatea de Matematica, Universitatea din Bucuresti (licenta 1984, specializare in algebra-geometrie 1985).
Doctorat: 1993, Universitatea din Bucuresti, cu teza "Structuri geometrice pe varietati complexe. Structuri local conform Kaehler" (indrumator Prof.dr. S. Ianus).
Pozitii academice: Asistent (1990-1995), Lector (1995-2000), Conferentiar (2000-2004), profesor (2004-prezent).
Pozitii de cercetare: Cerc. st. I la Institutul de Matematica "Simion Stoilow" al Academiei Romane (2007-prezent).
Cursuri predate la Facultatea de Matematica si la SNSB: Geometrie, Geometrie diferentiala, Topologie algebrica, Calcul variational in geometria riemanniana, Geometrie simplectica, Geometrie complexa, Concepte algebrice in geometrie.
Profesor/cercetator vizitator: "Max Planck" Inst. (Bonn), Ecole Polytechnique (Paris), ICTP (Trieste), "Erwin Schroedinger" Inst. (Viena), University of New Mexico (Albuquerque), Univ. din Roma "La Sapienza", Ecole Polytechnique Federale de Lausanne, Tokyo Metropolitan Univ. etc.
Domeniul de cercetare: Geometria diferentiala.
Premiul "Gheorghe Titeica" al Academiei Romane in 1998 pentru cartea "Locally conformal Kaehler geometry" (Birkhauser).


 Pentru informatii complete: pagina personala

Carti si manuale

  1. Curbe si suprafete diferentiabile (culegere de probleme), Ed. Universitatii Bucuresti, 1995.
  2. Locally conformal Kähler geometry, Progress in Math. 155, Birkhuäser, (1998) (cu Sorin Dragomir). MR99a:53081.
  3. O introducere in geometrie. Fundatia Theta 2000 (cu Adriana Turtoi). Zbl 1033.51001.

Articole stiintifice

  1. Conformally Einstein Products and Nearly Kaehler Manifolds (impreuna cu Andrei Moroianu). Annals of Global Analysis and Geometry 33(2008), 11-18.
  2. Embeddings of compact Sasakian manifolds (impreuna cu Misha Verbitsky). Mathematical Research Letters, 14 (2007), 703-710.
  3. Einstein-Weyl structures on complex manifolds and conformal version of Monge-Ampere equation (impreuna cu Misha Verbitsky). Bull. Math. Soc. Sci. Math. Roumanie Tome 51(99) No.4, 2008, 339-353.
  4. Sasakian structures on CR-manifolds (impreuna cu Misha Verbitsky). Geometriae Dedicata 125 (2007), 159-173.
  5. Constructions in Sasakian Geometry (impreuna cu Charles P. Boyer, Krzysztof Galicki). Mathematische Zeitschrift 257 (2007), 907-924.
  6. Locally conformal Kaehler manifolds with potential (impreuna cu Misha Verbitsky). Va aparea in Mathematische Annalen.
  7. Vaisman reduction in complex and quaternionic geometry (impreuna cu R.Gini, M.Parton si P.Piccinni). Journal of Geometry and Physics, 56 (2006), 2501-2522.
  8. CR-submanifolds. A class of examples. Revue roumaine de math. pures appl. 51 (2006) 77-85.
  9. Locally conformally Kaehler manifolds. A selection of results. Lecture Notes of Seminario Interdisciplinare di Matematica, 4(2005), 121-152. MR2007c:53101.
  10. Non-zero contact and Sasakian reduction (impreuna cu O.Dragulete), Differential Geometry and its Applications 24 (2006), 260-270. MR2007e:53111.
  11. Harmonicity and minimality of vector fields and distributions on locally conformal Kaehler and hyperkaehler manifolds (impreuna cu L.Vanhecke), Bull. of the Belgian Math. Soc. "Simon Stevin" 12 (2005) 543-555. MR2007d:53106.
  12. An immersion theorem for Vaisman manifolds (impreuna cu M.Verbitsky), Mathematische Annalen 332 (2005), 121-143. MR2006e:53112.
  13. Locally conformal Kaehler reduction (impreuna cu R. Gini and M. Parton). Crelle Journal fuer die Reine und Angewandte Mathematik 581 (2005), 1-21. MR2006c:53077.
  14. Geometric flow on compact locally conformally Kaehler manifolds (impreuna cu Y.Kamishima). Tohoku Math. J. 57 (2) (2005), 201-221. MR2006g:53112.
  15. Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length (impreuna cu A.Moroianu). Comptes Rendus Acad. Sci. Paris, 338 (2004), 561-564. MR2005f:58054.
  16. Structure theorem for compact Vaisman manifolds, Mathematical Research Letters, 10 (2003), 799-805 (impreuna cu M. Verbitsky). Also available at math.DG/0305259. MR2004j:53093).
  17. Potential 1-forms for hyper-Kaehler structures with torsion, Classical and Quantum Gravity 20 (2003), 1845-1856 (impreuna cu Y.S Poon si A.Swann). MR2004e:53070.
  18. Cosphere bundle reduction in contact geometry, Journal of symplectic geometry, 1(4) (2002), 695-714. (impreuna cu O.Dragulete si T.S.Ratiu) MR2004m:53141.
  19. Weyl structures in quaternionic geometry. A state of the art. Barletta, Elisabetta (ed.), Selected topics in geometry and mathematical physics. Vol.I. Potenza: Univ. degli Studi della Basilicata, Dipartimento di Matematica, Seminario Interdisciplinare di Matematica, 43-80 (2001). Zbl 1029.53055
  20. Cayley 4-frames and a quaternion Kaehler reduction related to Spin(7), Global differential geometry: the mathematical legacy of Alfred Gray (Bilbao 2000), 401-405, Contemporary Mathematics 288, Amer. Math. Soc. Providence, RI, 2001 (impreuna cu Paolo Piccinni). MR 2003c:53072.
  21. Reduction of Sasakian manifolds, Journal of Mathematical Physics 48 (2001), 3809-3816 (impreuna cu G.Grantcharov) MR 2002e:53060.
  22. Local almost contact metric 3-structures, Publicationes Mathematicae (Debrecen) 57 (2000) 499-508 (impreuna cu Paola Matzeu) MR 2002a:53057.
  23. Complex structures on some Stiefel manifolds, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 49 (2000) (impreuna cu Paolo Piccinni) MR 2002c:53120.
  24. On some moment maps and induced Hopf bundles in the quaternionic projective space, International Journal of Mathematics 11 (2000), 925-942 (impreuna cu Paolo Piccinni) MR 2002a:53061.
  25. Intersections of Riemannian submanifolds. Variations on a theme by T.J.Frankel, Rendiconti di Matematica (Roma), 19 (1999), 107-121 (impreuna cu T.Bingh si L.Tamassy) MR 2000g:53074.
  26. Locally conformal Kaehler metrics on Hopf surfaces, Annales de l'Institut Fourier, 48 (1998), 1107-1127 (impreuna cu P.Gauduchon) MR 2000g:53088.
  27. Compact hyperhermitian-Weyl and quaternion Hermitian-Weyl manifolds, Annals of Global Analysis and Geometry, 16 (1998), 383-398. (impreuna cu P.Piccinni). MR 99k:53097; Erratum, idem, 18 (2000), 105-106. MR 2000k:53044.
  28. An example of an almost hyperbolic Hermitian manifold, International Journal of Mathematics and Mathematical Sciences, 21 (1998), 613-618 (impreuna cu C.-L.Bejan). MR 98m:53039.
  29. Locally conformal Kaehler structures in quaternionic geometry, Transactions of the American Mathematical Society, 349 (1997), 641-655, (impreuna cu P.Piccinni). MR 97e:53091.
  30. Induced Hopf bundles and Einstein metrics, in New developments in differential geometry, Budapest (1996), 295-306, Kluwer (impreuna cu P.Piccinni). MR 99k:53099.
  31. Weyl structures on quaternionic manifolds, Proceedings of the Meeting on Quaternionic Structures in Mathematics and Physics, Trieste 1994. SISSA, Trieste, (1996), 261-267, (impreuna cu P.Piccinni). MR 99k:53098.
  32. Holomorphic and harmonic maps on locally conformal Kaehler manifolds, Bolletino dell'Unione Matematica Italiana, (7)9-A(1995), 569-579, (impreuna cu S.Ianus, V.Vuletescu), MR 96i:58037.
  33. Conformal geometry of Riemannian submanifolds. Gauss, Codazzi and Ricci equations, Rendiconti di Matematica (Roma), 15, (1995), 233-249, (impreuna cu G.Romani). Zbl. 833:53015.
  34. Extrinsic spheres of a generalized Hopf manifold. Publ. Math. Debrecen 44 (1994), 189-200 (impreuna cu S.Ianus, K.Matsumoto). MR94m:53080.
  35. Locally conformal Kaehler manifolds. A survey, Quaderno n. 12, Dip. di Mat., Univ. di Roma "La Sapienza", (1994).
  36. The fundamental equations of conformal submersions, Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry, 34, (1993), 233-243, (impreuna cu G.Romani), MR 95a:53055.
  37. Submanifolds with parallel second fundamental form in a generalized Hopf manifold, Ricerche di Matematica (Napoli), XLII, (1993), 3-9, MR 95d:35066.
  38. Immersions spheriques dans une variete de Hopf generalisee, Comptes Rendus de l' Acad. Sci. Paris, 316, (1993), 63-66, (impreuna cu S.Ianus, K.Matsumoto), MR 93m:53067.
  39. A theorem on nonnegatively curved locally conformal Kaehler manifolds, Rendiconti di Matematica (Roma), serie VII, 12, (1992), 257-262, MR 93h:53071.
  40. A certain symmetric F-connection in locally conformal Kaehler manifolds. Bull. Yamagata Univ. Natur. Sci. 12 (1991), no.4, 299-306 (impreuna cu S.Ianus, K.Matsumoto). MR92a:53026.
  41. A class of antiinvariant submanifolds of a generalized Hopf manifold, Bull. Math. de la Soc. Sci. Math. de Roumanie, 34, (1990), 115-123, (impreuna cu S.Ianus), MR 91m:53039.
  42. Minimal real hypersurfaces of a generalized Hopf manifold, Analele St. Univ. "Al. I. Cuza" Iasi, 2, (1990), 137-142, MR 92i:53019.
  43. Complex hypersurfaces with planar geodesics in generalized Hopf manifolds, Mathematika Balkanica 3 (1989) 92-96, MR 90g:53072.
  44. Complex hypersurfaces of a generalized Hopf manifold, Publications de l'Inst. Math. (Beograd), 42, (1987), 123-129, (impreuna cu S.Ianus, K.Matsumoto) MR 89f:53079.
  45. On certain vector fields in locally conformal Kaehler manifolds, Bull. Yamagata Univ. Natur. Sci. 11 (1987), 335--344 (impreuna cu S.Ianus, K.Matsumoto). MR88b:53077.
  46. CR-submanifolds of a locally conformal Kaehler manifold, Demonstratio Mathematica, 19, (1986), 863-869, MR 90g:53072.
  47. Subvarietati CR-generice in S-varietati, Stud. Cerc. Mat. 36 (1984), 435-443. MR86j:53084.



Actualizat: 29 iulie 2007


Conf.dr. Voica Cristian

  


Data si locul nasterii: 27 august 1960, in Costesti, judetul Arges.

Educatia: A absolvit Facultatea de Matematica in 1985.
Teza de doctorat: Doctor in matematica din 1999.
Pozitii academice: Asistent intre 1991 si 2000 la catedra de Algebra, 2000-2008 Lector. In prezent, Conferentiar la Catedra de Geometrie complexa, Topologie si Algebra computationala.
Cursuri predate: A tinut seminarii de Algebra, Geometrie algebrica si curs de Metodica predarii matematice.
Domenii de interes stiintific: Domeniul de cercetare este Geometria algebrica.

Bursier Tempus in 1998, la Universitatea Paris VI. Beneficiar Grant C12-CNFIS la Univ. Paris VI in 2000 (sept-oct).
Participant la urmatoarele scoli: Scoala de Geometrie Algebrica - Trieste, Mai 2000; Scoala de Geometrie - Vector Bundles in Complex Geometry - Bayreuth, 1994; Scoala de Algebra - Constanta, 1996, 1998, 1999; Scoala de Geometrie Algebrica - Pitesti 2000.

Membru al Consiliului National pentru Curriculum scolar (din 1997).
Coautor de manuale de matematica pentru invatamantul gimnazial si liceal. Coautor al unor materiale auxiliare pentru invatamantul gimnazial si liceal.
Membru al comisiei de corectare OIM - Bucuresti, 1999.

Articole publicate

  1. C.Voica, Puncte de acumulare unilaterala (Unilateral accumulation points), Studii si cercetari matematice, 35(1983), no.4, 307-315.
  2. C.Voica, A method to find informations about algebraic sets given by equations, Preprint IMAR 1990.
  3. C.Voica, Some remarks on rational surfaces in P4, Bul.St.-Univ.Pitesti, 5(2000), 1-6.
  4. C.Voica, On a criterion of algebraic contractibility of a surface, Rev.Roum. Math. Pures Appl. 45(2000), 4, 737-747.
  5. C.Voica, Multiplicities and computation in local rings, Ann.Univ. Ovidius Constanta (Seminars), 2001, 73-78.
  6. C.Voica, A method to find informations about algebraic sets given by equations, Memorial issue dedicated to Nicolae Radu, Math.Reports , vol.3(53), 2001, no.2, 195-203.
  7. C.Voica, A bound of the degree of some rational surfaces in P4, To Mirela Stefanescu, at her 60th, Ann.Univ.Constanta, seria Matematica, IX(2001), 1, 125-131.
  8. C.Voica, About the symmetry of conics, Bull. Math. Soc. Sc. Math. Roumanie, Tome 44(92), no.4, 2001, 309-314. MR 2014595(2004h: 51026).
  9. C.Voica, Embeddings in P4 using 2-homogeneous linear systems, Math.Reports, vol.4(54), 2002, 429-432.
  10. C. Voica, Steps in the classification of rational surfaces in P4, Proceedings CAIM 2002, Bull.St.Univ.Pitesti, Seria matematica si informatica, 9(2003), 359- 366.
  11. M.Singer, C.Voica, Matricea de structurare a competentelor, in Lucrarile sectiei a 7-a. Proceedings CAIM 2002, 71-76.
  12. C.Voica, A class of rational surfaces in P4, Math.Scandinavica, 92(2003), no.2, 210-222.
  13. P.Ionescu, C.Voica, Models of rationally connected manifolds, J.of the Math.Soc.of Japan, vol.55, no.1(2003), 143-164.
  14. M.Singer, C.Voica, Perception of infinity: does it really help in problem solving?, in Proceddings of the International Conference "The Decidable and the Undecidable in Mathematical Education", Brno, Czech Republic, September 19-25, 2003, p.252-256.
  15. C.Voica, Toric Varieties II, Ann.Univ.Constanta (Seminar Series in Mathematics: Algebra, Proceedings al Scolii Nationale de Algebra, Editia a XII-a), 2003, 1-16.
  16. M.Singer, C.Voica, On the dimensionality of sets of numbers, Proceedings PME 28, Oslo, Norvegia, 14-18 iulie 2004, 1-396.
  17. M.Singer, C.Voica, Perceptii ale infinitului, Proceedings CAIM 12 (2005), 42-47.
  18. M.Singer, C.Voica, O clasificare cinematica a problemelor de matematica, Romai Educational Journal 1(2006), 56-63.
  19. S.Stupariu, C.Voica, Un studiu privind invatarea spatiilor vectoriale, Romai Educational Journal 1(2006), 64-72.
  20. C.Voica, Utilizarea hartilor conceptuale in predarea algebrei, Romai Educational Journal, 1(2006), 86-92.
  21. C.Voica, On a property of conics, Bull. SSM, special issue professor Ion, tome 49(97), no.1, 2006, 105-110.
  22. S.Stupariu, C.Voica, Reprezentari mentale ale conceptelor de algebra liniara, Bull. SSM, Proceedings al Conferintei SSM mai, 2006.
  23. M.Singer, C.Voica, Dimensiunea de gen in didactica disciplinei matematica, in Dimensiunea de gen in ariile curriculare Matematica si Stiinte ale naturii, Tehnologii. Ghid pentru cadre didactice, ISE/UNICEF, 2006, 5-52.
  24. M.Singer, C.Voica, Learning through projects: a strategy to train future teachers, The 14th Conference on Applied and Industrial Mathematics, Satellite Conference of ICM 2006, Chisinau, 17-19 august 2006, 129-130.
  25. M.Singer, C.Voica, Children's perceptions on infinity: could they be structured? Proceedings CERME 5, Larnaca Cipru, 22-26 februarie 2007.
  26. S.Stupariu, C.Voica, Teaching Linear Algebra to students in Informatics, va apare in Proceedings CAIM 14.

Cursuri publicate

  1. M.Singer, C.Voica, Didactica ariilor curriculare. Matematica si stiinte ale naturii, Tehnologii, Editat de MEC in cadrul Proiectului pentru Invatamantul rural, 2005, 212 pag.
    ISBN 973-0-04086-9
  2. M.Singer, C.Voica, Didactica Algebrei, Editat de MEC in cadrul Proiectului pentru Invatamantul rural, 2005, 168 pag.
    ISBN 973-0-04242-X
  3. M.Singer, C.Voica, Didactica Geometriei, Editat de MEC in cadrul Proiectului pentru Invatamantul rural, 2006, 158 pag.
    ISBN 10 973-0-04580-1; ISBN 13 978-973-0-04588-2
  4. M.Singer, C.Voica, Didactica matematizarii problemelor practice, Editat de MEC in cadrul Proiectului pentru Invatamantul rural, 2005, 104 pag.
    ISBN 978-973-0-04797-4
  5. M.Singer, C.Voica, Tipologia rezolvarii problemelor, Editat de MEC in cadrul Proiectului pentru Invatamantul rural, 2005, 122 pag.
    ISBN 978-973-0-04798-1


Carti publicate

Ghiduri didactice, carti de popularizare

  1. C.Voica (colaborator, 11 autori), Ghid metodologic pentru aplicarea programelor de matematica primar-gimnaziu, Editat de MEC si CNC, 2001, Ed. Aramis Print, 96 pag.
    ISBN: 973-8294-26-6
  2. C.Voica (coordonator, 20 autori), Ghid metodologic pentru aplicarea programelor, aria curriculara Matematica si Stiinte, editat de MEC si CNC, 2001, Ed.Aramis Print, 232 pag.
    ISBN:973-8294-57-6
  3. M.Singer, C.Voica, Invatarea matematicii. Elemente de didactica aplicata. Ghidul profesorului, Ed.Sigma, 2002, 128 pag.
    ISBN: 973-649-056-4
  4. M.Neagu, M.Singer, C.Voica, Statistica si probabilitati. Curs introductiv pentru elevi, studenti si profesori, Ed.Sigma, 2003, 120 pag.
    ISBN: 973-649-070-x
  5. M.Singer, C.Voica, Recuperarea ramanerii in urma la matematica (Invatamant ginmazial). Module pentru dezvoltarea profesionala a personalului didactic. Ed.Educatia 2000+, 2005, 88 pag.
    ISBN: 973-87585-7-2

Manuale scolare

  1. M.Singer, C.L.Voica, C.Voica, Matematica. Manual pentru clasa a VIII-a, Ed.Sigma, 2000, 224 pag. ISBN: 973-8068-03-7. Manualul este tradus in limbile maghiara si germana, ISBN: 973-8068-80-0; 973-8068-99-1.
  2. M.Singer, C.Voica, Matematica. Manual pentru clasa a X-a, M3. Ed. Sigma 2000.
  3. C.Voica (colaborator, 4 autori), Matematica. Manual pentru scoala de arte si meserii, clasa a IX-a,Ed. Sigma, 2004.
  4. M.Singer, C.Voica, Matematica. Manual pentru clasa a X-a, Scoala de arte si meserii, Ed.Sigma, 2005, 96 pag. ISBN: 973-649-173-0
  5. M.Singer, C.Voica, Matematica M5. Manual pentru clasa a XI-a, Ed.Sigma, 2006, 128 pag. ISBN: 978-973-649-261-7
  6. M.Singer, S.M.Stupariu, C.Voica, Matematica M4. Manual pentru clasa a XI-a, Ed.Sigma, 2006, 104 pag. ISBN: 978-973-649-260-0
  7. M.Singer, C.Voica, Matematica. Manual pentru clasa a X-a, Liceu M3 si Scoala de arte si meserii, Ed.Sigma, 2004, 120 pag. ISBN: 973-649-075-0. Manual tradus si in limba maghiara, ISBN: 973-622-169-5.
  8. M.Singer, C.Voica, Matematica. Manual pentru clasa a XII-a, M3, Ed.Sigma, 2004, 96 pag. ISBN: 973-649-090-4.

Culegeri de probleme, carti de lucrari practice

  1. M.Singer, C.Voica, Cum demonstram? De la intuitie la rigoare in matematica, Ed.Sigma, 2005, 2 vol., 24+32 pag. ISBN: 973-649-136-4; 973-649-151-x
  2. M.Singer, C.Voica, Pasi in intelegerea rezolvarii problemelor. Caiet de exersare structurata, Ed. Sigma, 2003, 152 pag. ISBN: 973-658-002-4
  3. M.Singer, C.L.Voica, C.Voica, Decupeaza, construieste si verifica !, Ed.Sigma, 2000, 64 pag. ISBN: 973-8068-53-3. Reeditata in 2006, ISBN: 973-649-318-0
  4. C.Voica (colaborator, 5 autori), Culegere de exercitii si probleme pentru clasa a VIII-a, Ed.Sigma, 2004, 314 pag. ISBN: 973-646-119-6



Actualizat: 31 mai 2007



2002 - 2015 -- Facultatea de Matematica si Informatica, Universitatea din Bucuresti
Str. Academiei nr. 14, sector 1, C.P. 010014, Bucuresti, Romania
Tel: (4-021) 314 2863, Fax: (4-021) 315 6990, secretariat fmi.unibuc.ro