Contact Information. Research Interests. Hopf algebras and quantum groups, category theory, Lie algebras, group theory. Education

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1 Ana Loredana Agore Curriculum Vitae Contact Information Research Interests Office 6G330B, Building G, Vrije Universiteit Brussel, Pleinlaan 2, B-1050, Belgium Phone(VUB): aagore/welcome.html Hopf algebras and quantum groups, category theory, Lie algebras, group theory. Education Habilitation in Mathematics, University of Bucharest, Romania PhD in Mathematics, Vrije Universiteit Brussel, Belgium M. Sc., Algebra and Number theory, University of Bucharest, Romania B. Sc., Mathematics, University of Bucharest, Romania Employment 2014 Postdoctoral fellow (FWO), Vrije Universiteit Brussel, Belgium Aspirant fellow (FWO), Vrije Universiteit Brussel, Belgium 2015 Researcher, Simion Stoilow Institute of Mathematics of the Romanian Academy, Romania (currently on leave) Lecturer, Bucharest University of Economic Studies, Romania Teaching Assistant, Bucharest University of Economic Studies, Romania Research Assistant, University of Bucharest, Romania Visiting Positions Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France (forthcoming) Freiburg Institute for Advanced Studies, Germany Jean-Paul Gimon Chair, Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France Mathematical Institute, University of Oxford, UK Max Planck Institut für Mathematik, Bonn, Germany Centre de Recerca Matemàtica, Barcelona, Spain University of Copenhagen, Denmark University of Pittsburgh, USA Awards and fellowships Selected to participate in Heidelberg Laureate Forum, Germany 2014 Postdoctoral fellowship, F.W.O. - Vlaanderen, Belgium Gheorghe Ţiţeica prize of the Romanian Academy for contributions to the study of Hopf algebras

2 Aspirant fellowship, F.W.O. - Vlaanderen, Belgium Aspirant fellowship, F.W.O. - Vlaanderen, Belgium EU POSDRU PhD fellowship - awarded but declined in favor of F.W.O CNCS/UEFISCU Grant nr. 88/ (member of the research team) CNCSIS/UEFISCU Grant nr. 88/ (member of the research team) CNCSIS/UEFISCU Grant nr. 24/ (member of the research team) Romanian National Merit Scholarship, University of Bucharest Professional Activities Reviewer for Mathematical Reviews Referee for several journals (J. Pure Appl. Algebra, Algebr. Represent. Theory, Linear Algebra Appl., J. Geom. Phys., Symmetry Integr. Geom., Arch. Math. (Basel), Comm. Algebra etc.) Workshops and summer schools Cambridge, U.K., Workshop on Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras, supported by the Isaac Newton Institute for Mathematical Sciences Antwerp, Belgium, Socrates Intensive Program Geometric and Algebraic Methods with Applications in Physics, Erasmus fellowship Cortona, Italy, Summer School in Algebra, fellowship conferred by Scuola Matematica Interuniversitaria Selected seminar talks Conference talks The factorization problem for Hopf algebras, Séminaire Quantique, Institut de Recherche Mathématique Avancée, Strasbourg, France The factorization problem: from groups to Hopf algebras, Séminaire de Géométrie et Quantification, Institut Henri Poincaré, Paris, France On the category of (Poisson) Hopf algebras - Conference for young researchers in homotopy theory and categorical structures, Max Planck Institut für Mathematik, Bonn, Germany - February 13-15, Bicrossed descent theory for groups. Applications - 7th European Congress of Mathematics, Technische Universität Berlin, Germany - July 18-22, Galois theory for Lie algebras - Workshop on Hopf algebras and related topics, University of Turin, Italy - January 21-22, Galois groups and group actions on Lie algebras - Ferrara Algebra Workshop, University of Ferrara, Italy - September 17-18, The factorization index for finite groups - Young Researchers in Mathematics, University of Oxford, UK - August 17-20, Jacobi and Poisson algebras - The Eighth Congress of Romanian Mathematicians, Alexandru Ioan Cuza University of Iasi, Romania - June 25 - July 1, 2015.

3 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, 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, Classifying split extensions of quantum groups - 30 th International Colloquium on Group Theoretical Methods in Physics, Ghent University, Belgium, July 14-18, 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, Extending structures for algebras - International Conference Some Trends in Algebra, Charles University, Prague, Czech Republic - September 3-6, 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, 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, Classifying complements for Hopf algebras, Lie algebras and groups - Rings, Categories and Hopf algebras (dedicated to the 70 th birthday of Constantin Nastasescu), University of Bucharest, Romania - May 18-19, Bicrossed products of Hopf algebras. Applications - Workshop for Young Researchers in Mathematics, 3-rd Edition, Ovidius University, Constanta, Romania - May 9-10, Classifying Exact Factorizations of a Group Through a Given Subgroup and the Number of Types of Groups of Finite Order - 2 nd Biennial Group Theory Conference, Dogus University, Istanbul, Turkey - February 4-8, Deformations and descent type theory for Hopf algebras - International Conference Algebra Geometry Mathematical Physics, Brno University of Technology, Czech Republic - September 12-14, 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, 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, Crossed product of Hopf algebras - International Conference on Hopf algebras and tensor categories, University of Almeria, Spain - July 4-8, 2011.

4 Categorical methods for Hopf algebra theory - International Category Theory Conference, University of Genova, Italy - June 20-26, Categorical constructions for Hopf algebras - The First International Conference on Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates - March 18-21, Published papers [32] A.L. Agore, Classifying bicrossed products of two Taft algebras, 17 pages, J. Pure Appl. Algebra, DOI: /j.jpaa [31] A.L. Agore, The maximal dimension of unital subalgebras of the matrix algebra, Forum Mathematicum 29 (2017), 1 5. [30] A.L. Agore, G. Militaru, Hochschild products and global non-abelian cohomology for algebras. Applications, J. Pure Appl. Algebra 221 (2017), [29] A.L. Agore, G. Militaru, Extending structures, Galois groups and supersolvable associative algebras, Monatsh. für Mathematik 181 (2016), [28] A.L. Agore, G. Militaru, Jacobi and Poisson algebras, J. Noncommutative Geom. 9 (2015), [27] A.L. Agore, G. Militaru, Classifying complements for groups. Applications, Ann. Inst. Fourier 65 (2015), [26] A.L. Agore, G. Militaru, Itô s theorem and metabelian Leibniz algebras, Linear Multilinear Algebra 63 (2015), [25] A.L. Agore, G. Militaru, On a type of commutative algebras, Linear Algebra Appl. 485 (2015), [24] A.L. Agore, G. Militaru, The global extension problem, crossed products and co-flag non-commutative Poisson algebras, J. Algebra 426 (2015), [23] A.L. Agore, Free Poisson Hopf algebras generated by coalgebras, J. Math. Phys. 10 (2014), [22] 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. [21] A.L. Agore, G. Militaru, Extending structures for Lie algebras, Monatsh. für Mathematik 174 (2014), [20] A.L. Agore, G. Militaru, Extending structures I: the level of groups, Algebr. Represent. Theory 17 (2014), [19] A.L. Agore, Classifying complements for associative algebras, Linear Algebra Appl. 446 (2014), [18] A.L. Agore, S. Caenepeel, G. Militaru, Braidings on the category of bimodules, Azumaya algebras and epimorphisms of rings, Appl. Cat. Structures 22 (2014),

5 [17] A.L. Agore, G. Bontea, G. Militaru, The classification of all crossed products H 4 # k[c n ], Symmetry Integrability Geom. Methods Appl. 10 (2014), 049, 12 pages. [16] A.L. Agore, G. Bontea, G. Militaru, Classifying bicrossed products of Hopf algebras, Algebr. Represent. Theory 17 (2014), [15] A.L. Agore, G. Militaru, Unified products for Leibniz algebras. Applications, Linear Algebra Appl. 439 (2013), [14] A.L. Agore, G. Militaru, Classifying complements for Hopf algebras and Lie algebras, J. Algebra 391 (2013), [13] A.L. Agore, Crossed product of Hopf algebras, Comm. Algebra 40 (2013), [12] A.L. Agore, G. Bontea, G. Militaru, Classifying coalgebra split extensions of Hopf algebras, J. Algebra Appl. 12 (2013), , 24 pages. [11] A.L. Agore, Coquasitriangular structures for extensions of Hopf algebras. Applications, Glasgow Math. J. 55 (2013), [10] A.L. Agore, G. Militaru, Unified products and split extensions of Hopf algebras, Contemporary Math. AMS 585 (2013), [9] 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), , 17 pages. [8] A.L. Agore, G. Militaru, Schreier type theorems for bicrossed products, Cent. Eur. J. Math. 2 (2012), [7] A.L. Agore, G. Militaru, Extending structures II: The quantum version, J. Algebra 336 (2011), [6] A.L. Agore, Limits of coalgebras, bialgebras and Hopf algebras, Proc. Amer. Math. Soc. 139 (2011), [5] A.L. Agore, Categorical constructions for Hopf algebras, Comm. Algebra 39 (2011), [4] A.L. Agore, D. Fratila, Crossed product of cyclic groups, Czechoslovak Math. J. 60 (2010), [3] A.L. Agore, Monomorphisms of coalgebras, Colloq. Math. 120 (2010), [2] A.L. Agore, A. Chirvasitu, B. Ion, G. Militaru Bicrossed products for finite groups, Algebr. Represent. Theory 12 (2009), [1] A.L. Agore, G. Militaru, Crossed product of groups. Applications, Arab. J. Sci. Eng. 33 (2008), 1 18.

6 Preprints [36] A.L. Agore, Constructing Hopf braces, 14 pages, preprint 2017, submitted. [35] A.L. Agore, Hopf algebras which factorize through the Taft algebra T m 2(q) and the group Hopf algebra K[C n ], 16 pages, preprint 2016, submitted. [34] A.L. Agore, G. Militaru, Galois groups and group actions on Lie algebras, 22 pages, preprint 2015, submitted. [33] 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. Books Extending structures; Fundamentals and Applications, approx. 250 pages, to appear in the Monographs and Research Notes in Mathematics series published by Taylor & Francis Group (with G. Militaru) Categorical constructions, braidings on monoidal categories and bicrossed products of Hopf algebras, VUB Press, xx pages, ISBN ; PhD Thesis, Vrije Universiteit Brussel, Last updated: October 10, 2017

Max Planck Institut für Mathematik, Bonn, Germany Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France

Max Planck Institut für Mathematik, Bonn, Germany Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France Ana Loredana Agore Curriculum Vitae Contact Information Research Interests Office G6306, Building G, Vrije Universiteit Brussel, Pleinlaan 2, B-1050, Belgium E-mail: ana.agore@vub.be, ana.agore@gmail.com,