Ana Loredana Agore Curriculum Vitae Contact Information Office 6G330B, Building G, Vrije Universiteit Brussel, Pleinlaan 2, B-1050, Belgium E-mail: [email protected], [email protected], 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
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