English Version


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


Algebre Hopf in teoria categoriilor, teoria reprezentarilor si combinatorica
(Hopf algebras in category theory, representation theory and combinatorics)

  

UEFISCDI - IDEI 0635, contract 253/05.10.2011

English version:

Descriere succinta a proiectului de cercetare

In acest proiect ne propunem sa continuam studiul algebrelor Hopf si al unor structuri algebrice strans legate de acestea, pe urmatoarele directii de cercetare:

  1. Coactiuni ale unor clase de algebre Hopf pe anumite algebre;
  2. Structuri braided monoidale versus bimonade monoidale;
  3. Proprietati omologice ale algebrelor de incidenta;
  4. Produse incrucisate;
  5. Coomologie ciclica pentru algebre;
  6. Structuri combinatorice cu aplicatii la algebre si coalgebre.

Director de proiect

Prof.dr. Sorin Dascalescu, Facultatea de Matematica si Informatica a Universitatii din Bucuresti.

Echipa de cercetare a grantului:

  • Prof. Dr. Constantin Nastasescu
  • Prof. Dr. Dragos Stefan
  • CS II Dr. Florin Panaite
  • Conf. Dr. Daniel Bulacu
  • Conf. Dr. Doru Staic
  • Asist. Dr. Miodrag Iovanov
  • Doctorand Madalina Barascu
  • Masterand Laura Nastasescu
  • Masterand Adrian Manea

Cercetare sprijinita financiar de acest grant:

  1. S. Dascalescu, M. Iovanov si C. Nastasescu, Quiver Algebras, Path Coalgebras and co-reflexivity, Pacific Journal of Mathematics 262 (2013), 49-79.
  2. M. Barascu si S. Dascalescu, Good gradings on upper block triangular matrix algebras, Comm. Algebra 41 (2013), 4290-4298.
  3. S. Dascalescu, S. Predut si L. Van Wyk, Jordan isomorphisms of generalized structural matrix rings, Linear and Multilinear Algebra Vol. 61, No. 3, martie 2013, 369-376.
  4. S. Dascalescu, M. C. Iovanov, S. Predut, Frobenius structural matrix algebras, Linear Alg. Appl. 439 (2013), 3166-3172.
  5. D. Joita, C. Nastasescu si L. Nastasescu, Recollement of Grothendieck categories. Applications to schemes, Bull. Math. Soc. Sci. Math. Roum. 56 (104), no. 1, 2013, 109-116.
  6. A. Petrescu-Nita si D. M. Staic, Symmetry group of two special types of carbon nanotori, Acta Crystallographica Section A, Volume 69, Part 4, 2013, 435-439.
  7. M. Barascu, Good Z_p^2xZ_pxZ_p-gradings on matrix algebras, Annals of the University of Bucharest (Mathematical Series), 4(2) (2013), 425-431.
  8. M. Iovanov, Complete path algebras and rationals modules, Bull. Math. Soc. Sci. Math. Roum. 56 (2013), 349-364.
  9. F. Panaite, Equivalent crossed products and cross product bialgebras, Comm. Algebra 42(5)(2014), 1937-1952.
  10. F. Panaite, Iterated crossed products, J. Algebra Appl. 13(7) (2014), 1450036 (14 p.).
  11. S. Dascalescu, C. Nastasescu, L. Nastasescu, Frobenius algebras of corepresentations and group-graded vector spaces, J. Algebra 406 (2014), 226-250.
  12. A. Makhlouf, F. Panaite, Yetter-Drinfeld modules for Hom-bialgebras, J. Math. Phys. 55, 013501 (2014).
  13. S. Dascalescu, M. C. Iovanov, Semiperfect and coreflexive coalgebras, Forum Mathematicum 27(5) (2015), 2587-2607.
  14. A. Makhlouf, F. Panaite, Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra, J. Algebra 441 (2015), 314-343.
  15. M. Iovanov, Triangular matrix coalgebras and applications, Linear and Multilinear Algebra 63(1) (2015), 46-67.
  16. M. Hughes, D. M. Staic, Xie Xiangdong, Classification of a class of nonrigid Carnot groups, Journal of Lie Theory 25 (2015), 717-732.
  17. D. M. Staic, A. Stancu, Operations on the Secondary Hochschild Cohomology, Homology, Homotopy and Applications 17 (2015), 129-146.
  18. D. Bulacu si B. Torrecillas, On Frobenius and separable algebra extensions in monoidal categories. Applications to wreaths, Journal of Noncommutative Geometry 9(3) (2015), 707-774.
  19. G. Graziani, A. Makhlouf, C. Menini, F. Panaite, BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras, Symmetry, Integrability Geom. Methods Appl. (SIGMA) 11 (2015), 086, 34 pagini.
  20. C. Boboc. S. Dascalescu, L. van Wyk, Jordan isomorphisms of 2-torsionfree triangular rings, Linear Multilinear algebra 64(2) (2016), 290-296.
  21. L. Daus, F. Panaite, A new way to iterate Brzezinski crossed products, Colloq. Math. 142(1) (2016), 51-60.
  22. J. Dello, F. Panaite, F. Van Oystaeyen, Y. Zhang, Structure theorems for bicomodule algebras over quasi-Hopfalgebras, Comm. Algebra 44 (2016), 4609-4636.
  23. A. Makhlouf, F. Panaite, Twisting operators, twisted tensor products and smash products for Hom-associative algebras, Glasgow Math. J. 58(3) (2016), 513-538.
  24. D. Stefan, C. Vay, The cohomology ring of the 12-dimensional Fomin-Kirillov algebra, Advances in Mathematics 291 (2016), 584-620.
  25. D. M. Staic, Secondary Hochschild homology, Algebras and Representation theory 19(1) (2016), 47-56.
  26. A. Manea, D. S tefan, Further properties of Koszul pairs and applications, Symmetry Integrability and Geometry-Methods and Applications 12 (2016), Article Number:092.
  27. Bruce R. Corrigan-Salter, Mihai D. Staic, Higher-order and secondary Hochschild cohomology. C. R. Math. Acad. Sci. Paris 354 (2016), no. 11, 1049-1054.
  28. S. Dascalescu, C. Nastasescu, L. Nstasescu, Symmetric algebras in categories of corepresentations and smash products, J. Algebra 465 (2016), 62-80.
  29. M. Iovanov, Z. Mesyan, M. Reyes, Infinite-dimensional diagonalization and semisimplicity, acceptat spre publicare in Israel Journal of Mathematics.
  30. P. Jara, J. L. Pena,D. Stefan, Koszul pairs. Applications, acceptat spre publicare in Journal of Noncommutative Geometry.
  31. D. Bulacu, S. Caenepeel , B.Torrecillas, Frobenius and separable functors for the category of generalized entwined modules. Applications, trimisa spre publicare la Trans. Amer. Math. Soc.
  32. M. Barascu, Counting good gradings on upper block triangular matrix algebras, in curs de revizuire.
  33. D. Bulacu, B. Torrecillas, Galois theory and cleft extensions for monoidal cowreaths. Applications, trimis spre publicare la Proc. London Math. Soc.
  34. A. Manea, D. Stefan, On Koszulity of finite graded posets, acceptat pentru publicare la Journal of Algebra and Its Applications.
  35. F. Panaite, F. Van Oystaeyen, Twisted algebras and Rota-Baxter type operators, acceptat la J. Algebra Appl.
  36. Jacob Laubacher, Mihai D. Staic, Alin Stancu, Bar Simplicial Modules and Secondary Cyclic (Co)homology, in stadiu avansat de finalizare.

Durata proiectului:

01.01.2012-31.12.2016

Buget:

500.000,00 RON/2012
225.745,43 RON/2013
250.000 RON/2014
169.152 RON/2015
355.102,57 RON/2016

Raportare 2012:

Raportare 2013:

Contractare/Raportare 2014:

Contractare/Raportare 2015:

Contractare/Raportare 2016:

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