English Version


Data si locul nasterii: in 1967, la Focsani.

Educatia: A absolvit Facultatea de Matematica a Universitatii Bucuresti in 1991.
Teza de doctorat: A obtinut titlul de doctor in Matematica in 1999 cu lucrarea "Aplicatii armonice in varietati Riemanniene si Hermitiene".
Pozitii academice: Preparator din 1991, asistent din 1994, lector din 2000.
Cursuri predate: A tinut seminarii de Geometrie, Geometrie Diferentiala, Geometrie Riemanniana, Aplicatii armonice precum si cursul de geometrie la anul I.
Domenii de interes stiintific: Lucreaza in domeniul Geometriei Riemanniene.

A fost invitat pentru conferinte la Universitatea La Sapienza din Roma (1998, 2000) si la Universitatea din Bari (1999).




  FISA PREZENTARE


LISTA DE LUCRARI

Candidat lect.dr Catalin-Liviu Gherghe

Teza de doctorat: Aplicatii armonice pe varietati Riemanniene si Hermitiene, Universitatea din Bucuresti, Facultatea de Matematica, 1999, (conducator prof.dr.S.Ianus).

Carti

  1. Criptografie. Coduri. Algoritmi, Ed. Universitatii din Bucuresti, 2005 (in colaborare cu Dorin Popescu).
  2. Probleme de geometrie proiectiva, Ed. Universitatii din Bucuresti, 2000.

Articole publicate in reviste de specialitate de circulatie internationala recunoscute:

  1. Energy minimizer maps on C-manifolds, Differential Geom. Appl. 21 (2004), no.1, 55-63 (in colaborare cu K.Kenmotsu), recenzata in MR2067458 (2005b:53103) si in Zbl 1067.53051, (revista cotata ISI).
  2. Harmonic maps and cosymplectic manifolds, J. Aust. Math. Soc. 76 (2004), no.1, 75-92 (in colaborare cu E.Boeckx), recenzata in MR2029311 (2005b:53102) si in Zbl 1063.53069, (revista cotata ISI).
  3. Harmonic maps on C-manifolds, Recent advances in geometry and topology, 181-185, Cluj Univ. Press, Cluj-Napoca, 2004, recenzata in MR2113580 (2005j:53067).
  4. CR-manifolds, harmonic maps and stability, J. Geom. 71 (2001), no.1-2, 42-53 (in colaborare cu S.Ianus si A.M.Pastore), recenzata in MR1848311 (2002g:53112) si in Zbl 1038.58014.
  5. Harmonic maps on Kenmotsu manifolds, Rev. Roumaine Math. Pures Appl. 45 (2000), no.3, 447-453 (2001), recenzata in MR1840166 (2002d:53087) si in Zbl 0993.58013.
  6. Harmonic maps, harmonic morphisms and stability. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 43(91) (2000), no.3-4, 247-254, (in colaborare cu S.Ianus si A.M.Pastore), recenzata in MR1837479 (2002c:53109).
  7. Harmonicity on some almost contact metric manifolds, Rend. Circ. Mat. Palermo (2) 49 (2000), no.3, 415-424, recenzata in MR1809084 (2001k:53154).
  8. Harmonicity on nearly trans-Sasaki manifolds, Demonstratio Math. 33 (2000), no.1, 151-157, recenzata in MR1759875 (2001g:53141).
  9. Harmonic morphisms on some almost contact metric manifolds, Tensor (N.S.) 61 (1999), no.3, 276-281, recenzata in MR1910844 (2003d:53110) si in Zbl 1061.53042.
  10. On some submanifolds with harmonic mean curvature vector field, Math. Rep. (Bucur.) 1(51) (1999), no.1, 47-51, recenzata in MR1826612 (2002f:53105) si in Zbl 1033.53048.
  11. Harmonic maps on trans-Sasaki manifolds, Rend. Circ. Mat. Palermo (2) 48 (1999), no.3, 477-486, recenzata in MR1731448 (2001e:53067) si in Zbl 0961.53036.
  12. Pluriharmonic maps on tangent bundles of a Riemannian or Hermitian manifold, An. Univ. Bucuresti Mat. 46 (1997), 3-8, (in colaborare cu I.Calinov), recenzata in MR1618498 (99f:58047) si in Zbl 0899.58013.
  13. Quasi-connexion de Golab-Lyra, Demonstratio Math. 30 (1997), no.1, 1-6, recenzata in MR1446592 (98g:53026).
  14. Champs presque F-speciaux, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 38(86) (1994), no.1-2, 37-44, (in colaborare cu L.Nicolescu), recenzata in MR1408964 (97e:53065) si in Zbl 0879.53019.
Toate lucrarile de la punctul precedent sunt recenzate si indexate in baza de date a Mathematical Reviews si/sau Zentralblatt fur Mathematik.

Studii publicate in volumele unor manifestari stiintifice internationale:

  1. Harmonic maps on C-manifolds, Recent advances in geometry and topology, 181-185, Cluj Univ. Press, Cluj-Napoca, 2004, recenzata in MR2113580 (2005j:53067), ISBN 9736102777.
  2. Quasi-Sasakian manifolds and harmonic maps, Proceedings of the Conference "Submanifolds on Yuzawa" (Japonia), 28-32 (2001).

Proiecte de cercetare pe baza de contract/grant:

  1. Structuri hermitiene si de contact si aplicatii intre varietati inzestrate cu aceste structuri. Geometria Submersiilor Riemanniene si semi-Riemanniene, CNCSIS Nr. 41022/2003, 33379/2004, 34699/2005, (membru in echipa).
  2. Criptografie. Algoritmi. Utilizarea de programe informatice in algebra si geometrie, grant CNCSIS 2006, contract aprobat si aflat in faza de contractare, (membru in echipa), director de proiect prof.dr.Dorin Popescu.
  3. On a Gauge-invariant functional, CERES 4-147/12.11.2004, (membru in echipa).
  4. Armonicitatea si stabilitatea unor aplicatii definite pe varietati de contact, CNCSIS Nr. 6154/2000-2001, (Director de contract).
  5. Submersii si foliatii Riemann, CNCSIS Nr. 5229/1999, Ad. 6058/2000, (membru in echipa).
  6. Aplicatii armonice pe varietati reale si complexe, ANSTI Nr. 4116/1998, (membru in echipa).



Actualizat: 27 aprilie 2006


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