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


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