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Ana Loredana Agore
Curriculum Vitae
Contact
Information
Office 6G330B, Building G, Vrije Universiteit Brussel, Pleinlaan 2, B-1050, Belgium
E-mail: ana.agore@vub.ac.be, ana.agore@gmail.com, Phone: +32 2 629 29 09
http://homepages.vub.ac.be/ aagore/welcome.html
Research
Interests
Hopf algebras and quantum groups, category theory, Lie algebras, group theory.
Education
2010 – 2012
PhD, Vrije Universiteit Brussel, Belgium; Thesis: Categorical constructions,
braidings on monoidal categories and bicrossed products of Hopf algebras
2008 – 2010
M. Sc., Algebra and Number theory, University of Bucharest, Romania
2004 – 2008
B. Sc., Mathematics, University of Bucharest, Romania
2000 – 2004
’Mihai Viteazul’ National College, Bucharest, Romania
Employment
2010 –
Research/Teaching Assistant, Vrije Universiteit Brussel, Belgium
2013 –
Lecturer, Bucharest University of Economic Studies, Romania (on leave)
2009 – 2010
Teaching Assistant, Bucharest University of Economic Studies, Romania
2007 – 2013
Research Assistant, University of Bucharest, Romania
Visiting Positions
03.2008
University of Pittsburgh, USA
10.2014
University of Copenhagen, Denmark
02.2015
Centre de Recerca Matem`atica, Barcelona, Spain
03.2015
Max Planck Institut f¨
ur Mathematik, Bonn, Germany
´
Institut des Hautes Etudes Scientifiques, Paris, France (forthcoming)
03.2016
Awards and
fellowships
2014-2017
12.2013
Postdoctoral fellowship, F.W.O. - Vlaanderen, Belgium
Gheorghe T
¸ it¸eica prize of the Romanian Academy for 2011
2012-2014
Aspirant fellowship, F.W.O. - Vlaanderen, Belgium
2010-2012
Aspirant fellowship, F.W.O. - Vlaanderen, Belgium
2010-2013
EU POSDRU PhD fellowship - awarded but declined in favor of F.W.O.
2011-2014
CNCS/UEFISCU Grant nr. 88/05.10.2011
2010-2013
CNCSIS/UEFISCU Grant nr. 88/02.08.2010
2007-2010
CNCSIS/UEFISCU Grant nr. 24/28.09.2007
07.2009
Antwerp, Belgium, Socrates Intensive Program ”Geometric and Algebraic
Methods with Applications in Physics”, Erasmus fellowship
08.2007
Cortona, Italy, Summer School in Algebra, fellowship conferred by Scuola
Matematica Interuniversitaria
2004-2010
Romanian National Merit Scholarship, University of Bucharest
Professional
Activities
Reviewer for Mathematical Reviews
Referee for several journals
Conference
Talks
Categorical constructions for Hopf algebras - The First International Conference on
Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab
Emirates - March 18-21, 2010.
Categorical methods for Hopf algebra theory - International Category Theory Conference, University of Genova, Italy - June 20-26, 2010.
Crossed product of Hopf algebras - International Conference on Hopf algebras and
tensor categories, University of Almeria, Spain - July 4-8, 2011.
Braidings on the category of bimodules, Azumaya algebras and descent data - International conference Algebra Geometry Mathematical Physics, Universite Haute Alsace
Mulhouse, France - October 24-26, 2011.
Bicrossed descent theory of exact factorizations and the number of types of groups of
finite order - International Conference Groups and Their Actions, Bedlewo, Poland July 9-13, 2012.
Deformations and descent type theory for Hopf algebras - International Conference Algebra Geometry Mathematical Physics, Brno University of Technology, Czech Republic
- September 12-14, 2012.
Classifying Exact Factorizations of a Group Through a Given Subgroup and the Number
of Types of Groups of Finite Order - 2nd Biennial Group Theory Conference, Dogus
University, Istanbul, Turkey - February 4-8, 2013.
Bicrossed products of Hopf algebras. Applications - Workshop for Young Researchers
in Mathematics, 3-rd Edition, Ovidius University, Constanta, Romania - May 9-10,
2013.
Classifying complements for Hopf algebras, Lie algebras and groups - Rings, Categories
and Hopf algebras (dedicated to the 70th birthday of Constantin Nastasescu), University of Bucharest, Romania - May 18-19, 2013.
The factorization problem for Lie algebras - X. International Workshop Lie Theory
and its Applications in Physics, Bulgarian Academy of Sciences, Varna, Bulgaria June 17-23, 2013.
Exact factorizations for Hopf algebras. Applications - Joint international meeting
of the American Mathematical Society and the Romanian Mathematical Society, ”1
Decembrie 1918” University of Alba-Iulia, Alba-Iulia, Romania - June 27-30, 2013.
Extending structures for algebras - International Conference ”Some Trends in Algebra”,
Charles University, Prague, Czech Republic - September 3-6, 2013.
The extending structures problem for Lie algebras - XXII nd International Conference on Integrable Systems and Quantum symmetries, Faculty of Nuclear Sciences and
Physical Engineering, Czech Technical University Prague, Czech Republic - June 23-29,
2014.
Classifying split extensions of quantum groups - 30th International Colloquium on
Group Theoretical Methods in Physics, Ghent University, Belgium, July 14-18, 2014.
Hochschild products and global non-abelian cohomology for algebras - The Second International Conference on Mathematics and Statistics, American University of Sharjah,
Sharjah, United Arab Emirates - April 2-5, 2015.
On the classifcation of bicrossed products of Hopf algebras - New trends in Hopf algebras
and tensor categories, Royal Flemish Academy of Belgium for Science and the Arts,
Brussels, Belgium - June 2-5, 2015.
Jacobi and Poisson algebras - The Eighth Congress of Romanian Mathematicians, Iasi,
Romania - June 25 - July 1, 2015.
Publications
Books
Categorical constructions, braidings on monoidal categories and bicrossed
products of Hopf algebras, VUB Press, 199 + xx pages, ISBN 978-90-5718-212-9;
PhD Thesis, Vrije Universiteit Brussel, 2012.
Published
papers
[1] A.L. Agore, G. Militaru, Jacobi and Poisson algebras, 40 pages, to appear in J.
Noncommutative Geom.
[2] A.L. Agore, G. Militaru, Classifying complements for groups. Applications,
13 pages, to appear in Ann. Inst. Fourier.
[3] A.L. Agore, G. Militaru, Itˆ
o’s theorem and metabelian Leibniz algebras, 12
pages, to appear in Linear Multilinear Algebra, DOI:10.1080/03081087.2014.992771.
[4] A.L. Agore, G. Militaru, The global extension problem, crossed products
and co-flag non-commutative Poisson algebras, J. Algebra 426 (2015), 1–31.
[5] A.L. Agore, Free Poisson Hopf algebras generated by coalgebras, J. Math.
Phys. 10 (2014), 083502.
[6] A.L. Agore, G. Militaru, Bicrossed products, matched pair deformations and
the factorization index for Lie algebras, Symmetry Integrability Geom. Methods
Appl. 10 (2014), 065, 16 pages.
[7] A.L. Agore, G. Militaru, Extending structures for Lie algebras, Monatsh. f¨
ur
Mathematik 174 (2014), 169–193.
[8] A.L. Agore, G. Militaru, Extending structures I: the level of groups, Algebr.
Represent. Theory 17 (2014), 831–848.
[9] A.L. Agore, Classifying complements for associative algebras, Linear Algebra
Appl. 446 (2014), 345–355.
[10] A.L. Agore, S. Caenepeel, G. Militaru, Braidings on the category of bimodules, Azumaya algebras and epimorphisms of rings, Appl. Cat. Structures 22
(2014), 29–42.
[11] A.L. Agore, G. Bontea, G. Militaru, The classification of all crossed products
H4 # k[Cn ], Symmetry Integrability Geom. Methods Appl. 10 (2014), 049, 12 pages.
[12] A.L. Agore, G. Bontea, G. Militaru, Classifying bicrossed products of Hopf
algebras, Algebr. Represent. Theory 17 (2014), 227–264.
[13] A.L. Agore, G. Militaru, Unified products for Leibniz algebras. Applications, Linear Algebra Appl. 439 (2013), 2609–2633.
[14] A.L. Agore, G. Militaru, Classifying complements for Hopf algebras and
Lie algebras, J. Algebra 391 (2013), 193–208.
[15] A.L. Agore, Crossed product of Hopf algebras, Comm. Algebra 40 (2013),
2519 – 2542.
[16] A.L. Agore, G. Bontea, G. Militaru, Classifying coalgebra split extensions of
Hopf algebras, J. Algebra Appl. 12 (2013), 1250227, 24 pages.
[17] A.L. Agore, Coquasitriangular structures for extensions of Hopf algebras.
Applications, Glasgow Math. J. 55 (2013), 201 – 215.
[18] A.L. Agore, G. Militaru, Unified products and split extensions of Hopf
algebras, Contemporary Math. AMS 585 (2013), 1 – 15.
[19] 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),
1250102, 17 pages.
[20] A.L. Agore, G. Militaru, Schreier type theorems for bicrossed products,
Cent. Eur. J. Math. 2 (2012), 722–739.
[21] A.L. Agore, G. Militaru, Extending structures II: The quantum version, J.
Algebra 336 (2011), 321–341.
[22] A.L. Agore, Limits of coalgebras, bialgebras and Hopf algebras, Proc.
Amer. Math. Soc. 139 (2011), 855–863.
[23] A.L. Agore, Categorical constructions for Hopf algebras, Comm. Algebra
39 (2011), 1476–1481.
[24] A.L. Agore, D. Fratila, Crossed product of cyclic groups, Czechoslovak Math.
J. 60 (2010), 889–901.
[25] A.L. Agore, Monomorphisms of coalgebras, Colloq. Math. 120 (2010), 149–
155.
[26] A.L. Agore, A. Chirvasitu, B. Ion, G. Militaru Bicrossed products for finite
groups, Algebr. Represent. Theory 12 (2009), 481–488.
[27] A.L. Agore, G. Militaru, Crossed product of groups. Applications, Arab. J.
Sci. Eng. 33 (2008), 1–18.
Preprints
[28] A.L. Agore, S. Caenepeel, G. Militaru, The uniqueness of braidings on the
monoidal category of non-commutative descent data, 9 pages, preprint 2012,
submitted.
[29] A.L. Agore, G. Militaru, Extending structures, Galois groups and supersolvable associative algebras, 30 pages, preprint 2013, submitted.
[30] A.L. Agore, Parabolic subalgebras of matrix algebras, 6 pages, preprint 2014,
submitted.
[31] A.L. Agore, G. Militaru, Hochschild products and global non-abelian cohomology for algebras. Applications, 31 pages, preprint 2015, submitted.
[32] A.L. Agore, G. Militaru, Commutative Lie algebras I, 24 pages, preprint 2015,
submitted.
[33] A.L. Agore, G. Militaru, Galois groups and group actions on Lie algebras,
22 pages, preprint 2015, submitted.
Last updated: July 5, 2015