English Version

Grupuri, grupuri cuantice, coringuri si teoria reprezentarii

Groups, quantum groups, corings and representation theory



Contract nr. 24/28.09.2007 din cadrul PN-II, programul "Idei"


Director: Prof.Dr. Gigel Militaru



Articole publicate—Published papers

  1. B. Ion, Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials, J. Algebra, 319 (2008), 3480-3517.
  2. M.C. Iovanov, J. Vercruysse, Cofrobenius corings and adjoint functors, Journal of Pure and Applied Algebra, Vol. 212 (2008), Issue 9, 2011-2146.
  3. M.C. Iovanov, Frobenius Extensions of Corings, Commun. Algebra 36 (2008), no. 3, 869-892.
  4. M.C. Iovanov, C. Nastasescu, B. Torrecillas-Jover, The Dickson Subcategory Splitting Conjecture for Pseudocompact Algebras, J. Algebra 320 (2008), 2144-2155.
  5. A.L. Agore, G. Militaru, Crossed Product of groups. Applications. Arabian J. Sci. and Engineering (AJSE), 33 (2008), 1-17
  6. A. L. Agore, A. Chirvasitu, B. Ion, G. Militaru: Bicrossed products for finite groups, Algebras and Representation Theory, 12(2009), 481-488
  7. M. Beattie, M.C. Iovanov, S. Raianu, The Antipode of a dual quasi-Hopf algebra with nonzero integrals is bijective, Algebras and Representation Theory 12 (2009), 251-255.
  8. M.C. Iovanov, The Generating Condition for Coalgebras, Bulletin of the London Mathematical Society 41 (2009), no.3, 483-494.
  9. M.C. Iovanov, When does the Rational Torsion Split off for Finitely Generated Modules, Algebras and Representation theory (2009), no. 2-5, 287-309.
  10. B. Ion, Generalized exponents of small representations. I, Representation Theory, 13 (2009) 401-426.
  11. G. Militaru, Serre Theorem for involutory Hopf algebras, Centr. Eur. J. Math, Vol. 8, Issue 1 (2010), 15-21.
  12. A. L. Agore, D. Fratila, Crossed products of cyclic groups, acceptat pentru publicare in Czechoslovak Mathematical Journal.
  13. A. L. Agore, Categorical constructions for Hopf algebras, acceptat spre publicare in Commun. Algebra.
  14. A.L. Agore, Monomorphisms of coalgebras, acceptat spre publicare in Colloq. Math.
  15. M.C. Iovanov, L. Kadison, "When is a weak quasi-Hopf algebra Frobenius", acceptat spre publicare in Proc. AMS.
  16. A. L. Agore, G. Militaru, Deformation of a matched pair and Schreirer type theorems for bicrossed product of groups, trimis spre publicare
  17. A.L. Agore, Limits of coalgebras, bialgebras and Hopf algebras, acceptat spre publicare in Proc. Amer. Math Soc.
  18. B. Ion, A Poincare-Birkhoff-Witt theorem for Hopf algebras with central coradical, trimis spre publicare
  19. B. Ion, Generalized exponents of small representations. II., va apre in Representation Theory.
  20. M.C. Iovanov, Abstract Integrals in Algebra, trimis spre publicare.
 Echipa proiectului—The team of the project:
    - Ana Loredana Agore (ana.agore fmi.unibuc.ro)
    - Bogdan Ion,
    - Dragos Fratila (dragos.fratila fmi.unibuc.ro)
    - Gigel Militaru,
    - Miodrag Cristian Iovanov (pagina personala)

 Rezumatul proiectului—Abstract of the project

 Gradul de implicare al tinerilor cercetatori—The young people of the project

 Obiectivele programului - Project Objectives

 Bugetul

 Obiective si activitati si gradul de realizare. Rezultate obtinute—Objectives, Activities. Results

 Actiuni desfasurate in cadrul programului

 Rapoarte
        2007
            - Raport de sinteza detaliat
            - Raport de autoevaluare

        2008
            - Raport de sinteza detaliat
            - Raport de autoevaluare

        2009 etapa intermediara
            - Raport de sinteza detaliat
            - Deviz post calcul

        2009 etapa finala
            - Raport de sinteza detaliat
            - Raport de autoevaluare


 Expunerea la sedinta publica de monitorizare CNCSIS 30.10.09: performanta si cheltuieli din grant



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



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