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 si teme inrudite
Hopf algebras and related topics

  

Grant no. 88/05.10.2011 of the Romanian National Authority for Scientific Research, CNCS-UEFISCDI - PN II Idei

The Team:

  • Prof. Dr. Gigel Militaru (the team leader of the project),
  • CS III Sebastian Burciu,
  • CS III Bogdan Ion,
  • AC Ana-Loredana Agore (PhD student - PhD since 1/10/2012),
  • AC Costel Gabriel Bontea (PhD student).

Project Summary:

Hopf algebras were introduced around 1960 arising from algebraic geometry and algebraic topology. The second important development within this field of study started in 1987 with the appearance of the paper Quantum groups by V. Drinfel"d. The project will be focused on both parts (classic and quantum) of the theory of Hopf algebras and has two corresponding general objective each of them with several open problems. Objective I: New structural results for Hopf algebras. There are four open problems related to this objective. Objective II: Categorical methods in quantum groups. Braided, monoidal and fusion categories. There are five open problems related to the second objective.

Annual scientific reports (in romanian): 2011, 2012

Actual annual expenses: 2011, 2012

Published/Accepted papers in ISI journals (the impact factor for 2011 is given):

  1. S. Burciu, S. Natale - Fusion rules of equivariantizations of fusion categories, Journal of Mathematical Physics, 54(2013), 013511; DOI: 10.1063/1.4774293 (IF: 1.291). Link
  2. A. L. Agore, G. Militaru - Classifying complements for Hopf algebras and Lie algebras, Journal of Algebra, 391(2013), 193-208 (IF: 0,613) Link
  3. A. L Agore – Coquasitriangular structures for extensions of Hopf algebras, Glasgow Math. J. 55 (2013), 1-15. (IF: 0.571)
  4. A. L. Agore, C. G. Bontea, and G. Militaru – Classifying coalgebra split extensions of Hopf algebras, J. Algebra Appl. 12 (2013), 1-24. (IF: 0.483)
  5. A. L. Agore, G. Militaru – Unified products and split extensions of Hopf algebras, Contemporary Math. AMS, Vol. 585 (2013), 1-15.
  6. A. L. Agore, S. Caenepeel, G. Militaru – The center of the category of bimodules and descent data for non-commutative rings, J. Algebra Appl. 11 (2012), 1-17. (IF: 0.483)
  7. G. Militaru – Representable functors for corings, Comm. Algebra 40 (2012), no.5, 1766-1796. (IF: 0.347)
  8. A. L. Agore and G. Militaru – Schreier type theorems for bicrossed products, Cent. Eur. J. Math. 10 (2012), no.2, 722-739. (IF: 0.440)
  9. A. L. Agore, G. Militaru – Extending structures for Lie algebras, accepted for publications in Monatshefte für Mathematik (IF: 0,616)
  10. A. L. Agore, G. Militaru – Classifying complements for Hopf algebras and Lie algebras, accepted for publication in Journal of Algebra, DOI: 10.1016/j.jalgebra.2013.06.012 (IF: 0,613)
  11. A.L. Agore, S. Caenepeel, G. Militaru – Braidings on the category of bimodules, Azumaya algebras and epimorphisms of rings, in press Applied Cat. Structures – DOI: 10.1007/s10485-012-9294-3. (IF: 0.600)
  12. A.L. Agore, G. Militaru – Extending structures I: the level of groups, in press, Algebr. Represent. Theory, DOI: 10.1007/s10468-013-9420-4. (IF: 0.595)
  13. A. L. Agore, C. G. Bontea, G. Militaru – Classifying bicrossed products of Hopf algebras, in press Algebr. Represent. Theory, DOI:10.1007/s10468-012-9396-5. ( IF: 0.595).
  14. S. Burciu – Kernels of representations of Drinfel’d doubles of finite groups, accepted for publications in Cent. Eur. J. Math. (IF: 0.440)
  15. S. Burciu – Subgroups of odd depth – a necessary condition, accepted for publications in Czechoslovak J. Math. (IF: 0.262)
  16. C. G. Bontea – Classifying bicrossed products of two Sweedler.s Hopf algebras, accepted for publications in Czechoslovak J. Math. (IF: 0.262)

Papers submitted for publication:

  1. S. Burciu – On coideal subalgebras of cocentral Kac algebras and a generalization of Wall’s conjecture, submitted.
  2. S. Burciu – On the irreducible representations of generalized quantum doubles, submitted
  3. A. L. Agore, G. Militaru – Classifying complements for groups. Applications, submitted
  4. A. L. Agore, C. G. Bontea, and G. Militaru – The classification of all crossed products H4 # k[Cn], submitted
  5. A. L. Agore, G. Militaru – The extending structures problem for algebras, submitted.
  6. V. Chari, B. Ion – BGG reciprocity for current algebras, submitted.

Dissemination of the scientific results. Talks given at international conferences:

  1. G. Militaru - Classifying bicrossed products of quantum groups, Algebra Geometry Mathematical Physics, Brno, september 2012.
  2. G. Militaru - Extending structures: the level of groups, Groups and their actions, Bedlewo, July 2012.
  3. A.L. Agore - Bicrossed descent theory of exact factorizations and the number of types of groups of finite order , Groups and their actions, Bedlewo, July 2012
  4. C. Bontea - Classifying crossed product of quantum groups, Algebra Geometry Mathematical Physics(AGMP), Brno, September 2012.
  5. A. L. Agore - Deformations and descent type theory for Hopf algebras, Algebra Geometry Mathematical Physics, Brno, September 2012.
  6. G. Militaru - Classifying bicrossed products. Deformations and descent type theory for quantum groups, Hopf Algebra Workshop, Brussel VUB, 19 March 19, 2012.
  7. A.L. Agore - Classifying exact factorizations of a group through a given subgroup and the number of types of groups of finite order, 2nd Biennial Groups Theory Conference, Dogus University, Istanbul, February 2013.
  8. A.L. Agore - The factorization problem for Lie algebras, International workshop Lie theory and its applications, Varna, Bulgaria, June 2013.
  9. A.L. Agore - Exact factorizations for Hopf algebras. Applications, Joint international meeting of AMS and RMS , Alba-Iulia, Romania, June 2013.
  10. A.L. Agore - Bicrossed products of Hopf algebras, Workshop for young researchers, Constanta, Romania, May 2013.
  11. A.L. Agore - Classifying complements for Hopf algebras, Lie algebras and groups, Workshop "Rings, categories and Hopf algebras", Bucharest, May 2013.
  12. C.G. Bontea - The factorization problem for Hopf algebras, Workshop "Rings, categories and Hopf algebras", Bucharest, May 2013.
  13. G. Militaru - The Extending Structures Problem, 2nd Biennial Groups Theory Conference, Dogus University, Istanbul, February, 2013
  14. G. Militaru - The extending structures for algebras, Workshop "Rings, categories and Hopf algebras", Bucharest, May 2013.
  15. G. Militaru - Extending structures for Lie algebras, International workshop Lie theory and its applications, Varna, Bulgaria, June 2013.
  16. G. Militaru - The extension problem for Hopf algebras, Joint international meeting of AMS and RMS, Alba-Iulia, Romania, June 2013.
  17. S. Burciu - Kernels of representations and coideal subalgebras of Hopf algebras Workshop "Rings, Categories and Hopf Algebras", May 18-19, 2013, Bucharest.

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