Born: 24-10-1970, Bucharest, Romania

Citizenship: Romanian

Institute of Mathematics of the Romanian Academy,

P.O.Box 1-764, RO-014700, Bucharest, Romania

e-mail: Florin(dot)Panaite(at)imar(dot)ro

Senior Researcher I (CS I), Institute of Mathematics of the Romanian Academy (IMAR)

- Romanian-mother tongue
- English-fluent
- French-good
- Spanish-reading

- University Degree in Mathematics, University of Bucharest, 1995
- Master of Science in Algebra, University of Bucharest, 1996
- Ph.D. in Mathematics, University of Bucharest, 1999, with the thesis "Algebras and coalgebras with applications to quantum groups", advisor Prof. Dr. C. Nastasescu

The prize "Gheorghe Lazar" of the Romanian Academy for 1999 (awarded in 2001)

- 1996: 3 months at University of Antwerp, UIA, Belgium, with a
TEMPUSgrant- 1998: 10 months at University of Antwerp, UIA, Belgium, in the framework of the cooperation project
Hopf algebras and (co) Galois theorysupported by the Flemish and Romanian Ministries of Research- 2001: 1 month at Ecole Polytechnique Federale de Lausanne, Switzerland, supported by the programme
SCOPES- 2003: 2 months at University of Antwerp, Belgium, supported by the programmes
EURROMMATof IMAR andHopf algebras in Algebra, Topology, Geometry and Physicsfinanced by the Flemish and Romanian Ministries of Research- 2004: 6 months at University of Almeria, Spain, supported by a
NATOpostdoctoral fellowship offered by the Spanish Ministry of Science and Technology- 2005-2006: 9 months at University of Antwerp, Belgium, supported by a
Marie Curiepostdoctoral fellowship within the RTN programmeLIEGRITSand by the projectNew techniques in Hopf algebras and graded ring theoryfinanced by the Romanian and Flemish governments- 2006: 4 months at the Centre for Mathematics of the University of Coimbra (CMUC), Portugal, supported by a postdoctoral fellowship offered by CMUC
- 2007: 2 weeks at University of Granada, Spain, supported by a grant from the Spanish Ministry of Science and Technology
- 2007-2008: 12 months at University of Antwerp, Belgium, supported by a postdoctoral fellowship offered by
FWO(Flemish Foundation for Scientific Research)- 2011: 6 weeks at the Centre for Mathematics of the University of Coimbra (CMUC), Portugal, supported by the CNCSIS project ''Hopf algebras, cyclic homology and monoidal categories'', contract nr. 560/2009, CNCSIS code ID69
- 2012: 1 month at University of Hasselt, Belgium, supported by the CNCS project ''Hopf algebras in category theory, representation theory and combinatorics'', contract nr. 253/2011, project nr. PN-II-ID-PCE-2011-3-0635
- 2012: 2 weeks at University of Antwerp, Belgium, supported by the CNCS project ''Hopf algebras in category theory, representation theory and combinatorics'', contract nr. 253/2011, project nr. PN-II-ID-PCE-2011-3-0635
- 2012: 1 week at University of Almeria, Spain, supported by the CNCS project ''Hopf algebras in category theory, representation theory and combinatorics'', contract nr. 253/2011, project nr. PN-II-ID-PCE-2011-3-0635
- 2013: 1 month at University of Antwerp, Belgium, supported by a grant from
FWO(Flemish Foundation for Scientific Research) within the research project ''Equivariant Brauer groups and Galois deformations''- 2013: 1 month at Universite de Haute Alsace (UHA), Mulhouse, France, supported by the CNCS project ''Hopf algebras in category theory, representation theory and combinatorics'', contract nr. 253/2011, project nr. PN-II-ID-PCE-2011-3-0635
- 2013: 1 week at United Arab Emirates University, Al Ain (UAE), supported by UAEU and by the CNCS project ''Hopf algebras in category theory, representation theory and combinatorics'', contract nr. 253/2011, project nr. PN-II-ID-PCE-2011-3-0635
- 2014: 1 month at Universite de Haute Alsace (UHA), Mulhouse, France, supported by a grant offered by UHA
- 2014: 1 month at Erwin Schrodinger Institute, Vienna, Austria, supported by the CNCS project ''Hopf algebras in category theory, representation theory and combinatorics'', contract nr. 253/2011, project nr. PN-II-ID-PCE-2011-3-0635
- 2014: 1 month at University of Ferrara, Italy, supported by a grant from
INdAM(Instituto Nazionale di Alta Matematica)- 2014: 1 month at University of Antwerp, Belgium, supported by a grant from
FWO(Flemish Foundation for Scientific Research) within the research project ''Equivariant Brauer groups and Galois deformations''- 2015: 1 month at University of Antwerp, Belgium, supported by a grant from
FWO(Flemish Foundation for Scientific Research) within the research project ''Equivariant Brauer groups and Galois deformations''- 2015: 10 days at University of Ferrara, Italy, supported by the CNCS project ''Hopf algebras in category theory, representation theory and combinatorics'', contract nr. 253/2011, project nr. PN-II-ID-PCE-2011-3-0635

Quantum algebra (Hopf algebras, quantum groups)

My field of research is the theory of Hopf algebras and quantum groups, including extensions of these concepts (quasi-Hopf algebras, quantum groupoids, Hom-bialgebras etc). In my research I have treated various aspects of the theory, such as: quasitriangular structures, ribbon and charmed elements, monoidal, braided and ribbon categories, links with braid groups, Clifford algebras, octonions and Cayley-Dickson algebras, various kinds of crossed products (smash products and biproducts, double crossed products, diagonal crossed products, L-R-smash products, twisted tensor products of algebras, Brzezinski crossed products), twistings of algebras and Rota-Baxter type operators, integrals and Maschke-type theorems, quantum traces and dimensions, actions and coactions, cleft extensions, the study of some classes of pointed Hopf algebras, (anti) Yetter-Drinfeld modules and Hopf (bi)modules, the quantum Yang-Baxter equation and the pentagonal equation, vertex groups, the Drinfeld double and the Heisenberg double, combinatorial and homological aspects, extensions, deformations etc.

See the list of publications.

- ''Hopf Algebras and Quantum Groups'', Brussels (Belgium), June 1998
- ''Operator Algebras and Mathematical Physics'', Constanta (Romania), July 2001
- ''Hopf Algebras in Noncommutative Geometry and Physics'', Brussels (Belgium), May 2002
- ''Nonassociative Algebras and Related Topics'', Coimbra (Portugal), July 2011
- ''Algebra, Geometry, Mathematical Physics VII'', Mulhouse (France), October 2011
- ''Rings, Categories and Hopf Algebras. A conference in honour of Prof. Constantin Nastasescu'', Bucharest (Romania), May 2013
- Anniversary Conference: ''Faculty of Sciences-150 years'', Bucharest (Romania), August 2013
- The Eighth Congress of Romanian Mathematicians, Iasi (Romania), June 2015
- ''Ferrara Algebra Workshop. A conference in honour of Prof. Claudia Menini'', Ferrara (Italy), September 2015
- ''The First Romanian-Turkish Mathematical Colloquium'', Constanta (Romania), October 2015
- ''Algebra and Group Theory. A conference in honour of Prof. Otto Kegel'', Mulhouse (France), October 2015

- ARTS (Antwerp Ring Theory Seminar), University of Antwerp, Belgium, May 1998, May 2006
- SANO (Seminario de Algebra No Conmutativa), University of Granada, Spain, April 2004, November 2007
- Workshop "New techniques in Hopf algebras and graded ring theory", Vrije Universiteit Brussels, Belgium, September 2005
- Mini-course (5 hours) "General twisted algebras" during the Socrates Intensive Program "Geometric and Algebraic Methods with Applications in Physics", University of Antwerp, Belgium, September 2007
- Seminar Hopf-Galois, Hasselt University, Belgium, February 2008
- SAAM (Seminario de Algebra y Analysis Matematico), University of Almeria, Spain, November 2012
- Seminar of the Department of Mathematics, United Arab Emirates University, Al Ain (UAE), November 2013
- Seminaire ''Georges Reeb'' (Algebre et Geometrie Differentielle), Universite de Haute Alsace (UHA), Mulhouse, France, March 2014
- Algebra Seminar, University of Ferrara, Italy, September 2014
- Algebra Seminar, University of Padova, Italy, October 2014
- Workshop ''Hom-Algebras'', Monastir, Tunisia, October 2014

- International Conference on Representation Theory of Groups, Algebras and Orders, Constanta (Romania), September 1995
- AMS-BeNeLux Congres, Antwerp, May 1996
- Summer School on Representation Theory of Algebras, Finite and Reductive Groups, Cluj-Napoca (Romania), September 1997
- TMR Workshop on Noncommutative Algebra, Antwerp, June 1998
- TMR Workshop on Differential Operators and Quantum Algebras, Reims, November 1998
- Summer School and Workshop on Decomposition Numbers and Character Formulae for Lie Algebras, Algebraic Groups and Quantum Groups, Blaubeuren (Germany), May 1999
- Euroconference and Workshop on Algebra and Representation Theory, Constanta (Romania), August 2000
- Summer School on Geometry of Quiver Representations and Preprojective Algebras, Isle of Thorns (Sussex, UK), September 2000

Ribbon and charmed elements for quasitriangular Hopf algebras,Comm. Algebra25 (3), 973-977 (1997).When is the category of comodules a braided tensor category?Rev. Roum. Math. Pures Appl.42 (1-2), 107-119 (1997) (with D. Stefan).An example of quantum commutativity: the generalized Clifford algebra,Stud. Cerc. Mat.49 (3-4), 225-229 (1997).Coalgebra deformations of bialgebras by Harrison cocycles,Bull. Belg. Math. Soc.4 (5), 647-671 (1997) (with S. Caenepeel, S. Dascalescu, G. Militaru).A Maschke-type theorem for quasi-Hopf algebras, in "Rings, Hopf algebras and Brauer groups" (eds. S. Caenepeel and A. Verschoren), 201-207,Lecture Notes in Pure and Appl. Math.197, Marcel Dekker, New York (1998).A generalization of the quasi-Hopf algebra D^{\omega}(G),Comm. Algebra26 (12), 4125-4141 (1998) (with D. Bulacu).External homogenization for Hopf algebras,Algebr. Represent. Theory2 (3), 211-226 (1999) (with C. Nastasescu and F. Van Oystaeyen).Equivalence of crossed coproducts,Bull. Belg. Math. Soc.6 (2), 259-278 (1999).Quasitriangular structures for some pointed Hopf algebras of dimension 2^n,Comm. Algebra27 (10), 4929-4942 (1999) (with F. Van Oystaeyen).Quantum traces and quantum dimensions for quasi-Hopf algebras,Comm. Algebra27 (12), 6103-6122 (1999) (with D. Bulacu and F. Van Oystaeyen).Clifford-type algebras as cleft extensions for some pointed Hopf algebras,Comm. Algebra28 (2), 585-600 (2000) (with F. Van Oystaeyen).Quasi-Hopf algebras and the centre of a tensor category, in "Hopf algebras and quantum groups" (eds. S. Caenepeel and F. Van Oystaeyen), 221-235,Lecture Notes in Pure and Appl. Math.209, Marcel Dekker, New York (2000) (with F. Van Oystaeyen).Quasi-Hopf algebra actions and smash products,Comm. Algebra28 (2), 631-651 (2000) (with D. Bulacu and F. Van Oystaeyen).Existence of integrals for finite dimensional quasi-Hopf algebras,Bull. Belg. Math. Soc.7 (2), 261-264 (2000) (with F. Van Oystaeyen).Relating the Connes-Kreimer and Grossman-Larson Hopf algebras built on rooted trees,Lett. Math. Phys.51 (3), 211-219 (2000).Deformation cohomology for Yetter-Drinfeld modules and Hopf (bi)modules,Comm. Algebra30 (1), 331-345 (2002) (with D. Stefan).Hopf bimodules are modules over a diagonal crossed product algebra,Comm. Algebra30 (8), 4049-4058 (2002).Quasi-Hopf algebras and representations of octonions and other quasialgebras,J. Math. Phys.45 (10), 3912-3929 (2004) (with F. Van Oystaeyen).More properties of Yetter-Drinfeld modules over quasi-Hopf algebras, in ''Hopf algebras in noncommutative geometry and physics'' (eds. S. Caenepeel and F. Van Oystaeyen), 89-112,Lecture Notes in Pure and Appl. Math.239, Marcel Dekker, New York (2005) (with D. Bulacu and S. Caenepeel).Yetter-Drinfeld categories for quasi-Hopf algebras,Comm. Algebra34 (1), 1-35 (2006) (with D. Bulacu and S. Caenepeel).Generalized diagonal crossed products and smash products for quasi-Hopf algebras. Applications,Comm. Math. Phys.266 (2), 355-399 (2006) (with D. Bulacu and F. Van Oystaeyen).Some bialgebroids constructed by Kadison and Connes-Moscovici are isomorphic,Appl. Categor. Structures14 (5-6), 627-632 (2006) (with F. Van Oystaeyen).General twisting of algebras,Adv. Math.212 (1), 315-337 (2007) (with J. Lopez and F. Van Oystaeyen).Extending lazy 2-cocycles on Hopf algebras and lifting projective representations afforded by them,J. Algebra313 (2), 695-723 (2007) (with J. Cuadra).A structure theorem for quasi-Hopf comodule algebras,Proc. Amer. Math. Soc.135 (6), 1669-1677 (2007) (with F. Van Oystaeyen).L-R-smash product for (quasi) Hopf algebras,J. Algebra309 (1), 168-191 (2007) (with F. Van Oystaeyen).On some classes of lazy cocycles and categorical structures,J. Pure Appl. Algebra209 (3), 687-701 (2007) (with M. D. Staic and F. Van Oystaeyen).Generalized (anti) Yetter-Drinfeld modules as components of a braided T-category,Israel J. Math.158 (1), 349-366 (2007) (with M. D. Staic).Doubles of (quasi) Hopf algebras and some examples of quantum groupoids and vertex groups related to them, in "Hopf algebras and generalizations" (eds. L. H. Kauffman, D. E. Radford and F. J. O. Souza), 91-115,Contemporary Math.441, Amer. Math. Soc. (2007).Invariance under twisting, in "New techniques in Hopf algebras and graded ring theory" (eds. S. Caenepeel and F. Van Oystaeyen), 85-104, Royal Flemish Academy, Belgium (2007) (with P. Jara, J. Lopez and F. Van Oystaeyen).On iterated twisted tensor products of algebras,Internat. J. Math.19 (9), 1053-1101 (2008) (with P. Jara, J. Lopez and F. Van Oystaeyen).Quasialgebra tensor products and smash products, in "Lie theory and its applications in physics VII" (eds. H.-D. Doebner and V. K. Dobrev), 466-469, Heron Press, Sofia (2008) (with H. Albuquerque).On quasi-Hopf smash products and twisted tensor products of quasialgebras,Algebr. Represent. Theory12 (2-5), 199-234 (2009) (with H. Albuquerque).A quotient of the braid group related to pseudosymmetric braided categories,Pacific J. Math.244 (1), 155-167 (2010) (with M. D. Staic).Pseudosymmetric braidings, twines and twisted algebras,J. Pure Appl. Algebra214 (6), 867-884 (2010) (with M. D. Staic and F. Van Oystaeyen).L-R-smash biproducts, double biproducts and a braided category of Yetter-Drinfeld-Long bimodules,Rocky Mount. J. Math40 (6), 2013-2024 (2010) (with F. Van Oystaeyen).Alternative twisted tensor products and Cayley algebras,Comm. Algebra39 (2), 686-700 (2011) (with H. Albuquerque).Quasi-elementary H-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules,Appl. Categor. Structures19 (5), 803-820 (2011) (with F. Van Oystaeyen).Invariance under twisting for crossed products,Proc. Amer. Math. Soc.140 (3), 755-763 (2012).More examples of invariance under twisting,Czech. Math. J.62 (1), 187-195 (2012).Some (Hopf) algebraic properties of circulant matrices,Algebra Discrete Math.13 (1), 1-17 (2012) (with H. Albuquerque).More examples of pseudosymmetric braided categories,J. Algebra Appl.12 (4) (2013), 1250186 (21 pages) (with M. D. Staic).L-R-smash products and L-R-twisted tensor products of algebras,Algebra Colloq.21 (1), 129-146 (2014) (with M. Ciungu).Yetter-Drinfeld modules for Hom-bialgebras,J. Math. Phys.55, 013501 (2014) (17 pages) (with A. Makhlouf).Equivalent crossed products and cross product bialgebras,Comm. Algebra42 (5), 1937-1952 (2014).Iterated crossed products,J. Algebra Appl.13 (7) (2014), 1450036 (14 pages).BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras,Symmetry, Integrability Geom. Methods Appl. (SIGMA)11 (2015), 086, 34 pages (with G. Graziani, A. Makhlouf and C. Menini).Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra,J. Algebra441, 314-343 (2015) (with A. Makhlouf).A new way to iterate Brzezinski crossed products,Colloq. Math.142(1), 51-60 (2016) (with L. Daus).Twisting operators, twisted tensor products and smash products for Hom-associative algebras,Glasgow Math. J.58 (3), 513-538 (2016) (with A. Makhlouf).Structure theorems for bicomodule algebras over quasi-Hopf algebras, weak Hopf algebras and braided Hopf algebras,Comm. Algebra44 (11), 4609-4636 (2016) (with J. Dello, F. Van Oystaeyen and Y. Zhang).Twisted algebras and Rota-Baxter type operators,J. Algebra Appl.16 (4) (2017), 1750079 (18 pages) (with F. Van Oystaeyen).Hom-tensor categories and the Hom-Yang-Baxter equation, arXiv:math.QA/1702.08475 (with P. Schrader and M. D. Staic).Rota-Baxter operators on BiHom-type algebras and related structures, arXiv:math.QA/1703.07275 (with L. Liu, A. Makhlouf and C. Menini).