Ana-Loredana Agore

Curriculum Vitae

Contact information Address Office 6G306, Building G, Vrije Universiteit Brussel, Pleinlaan 2, B-1050, Belgium Phone (VUB) +32 2 629 29 09 E-mail [email protected]; [email protected] Homepage http://homepages.vub.ac.be/ aagore/welcome.html Research interests Hopf algebras and quantum groups; Category theory; Group theory; Lie algebras; Representation theory. Education 04.2016 Habilitation in Mathematics, University of Bucharest, Romania. Thesis Extending structures PhD adviser within the School of Advanced Studies of the Romanian Academy 2010–2012 PhD in Mathematics, Vrije Universiteit Brussel, Belgium. Advisers Prof. S. Caenepeel and Prof. G. Militaru Thesis Categorical constructions, braidings on monoidal categories and bicrossed products of Hopf algebras Awarded the grade of greatest distinction. 2008–2010 Master of Science, Algebra & Number Theory, University of Bucharest, Romania. 2004–2008 Bachelor of Science, Mathematics, University of Bucharest, Romania. Awards 08.2020 Rada Mihalcea award for young researchers in science and engineering (second prize), Cluj-Napoca, Romania. 09.2017 Selected to participate in the 5th Heidelberg Laureate Forum, University of Heidelberg, Germany. 2013 Gheorghe Ţiteica prize of the Romanian Academy for contributions to the study of Hopf algebras (for papers published in 2011). Employment 2015– Senior Researcher, Simion Stoilow Institute of Mathematics of the Romanian Academy, Romania. 2015– Guest Professor/Researcher, Vrije Universiteit Brussel, Belgium. 2010–2015 Teaching Assistant/Researcher, Vrije Universiteit Brussel, Belgium. 2013–2015 Lecturer, Bucharest University of Economic Studies, Romania. 2009–2010 Teaching Assistant, Bucharest University of Economic Studies, Romania. Selected visiting positions 11-12.2021 Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France (forthcoming). 11.2018 Max Planck Institut für Mathematik, Germany. 09.2018 Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France. 09.2017 Freiburg Institute for Advanced Studies, Germany. 03.2017 Isaac Newton Institute for Mathematical Sciences, Cambridge, UK. 11.2016 Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France. 09.2016 Mathematical Institute, University of Oxford, UK. 03.2015 Max Planck Institut für Mathematik, Germany. 02.2015 Centre de Recerca Matemàtica, Barcelona, Spain. 10.2014 University of Copenhagen, Denmark. 03.2008 University of Pittsburgh, USA. Funding Research grants and fellowships 10.2018– Principal Investigator of UEFISCDI1 grant PN-III-P1-1.1-TE-2016-0124, 09.2020 Simion Stoilow Institute of Mathematics of the Romanian Academy, Romania. Awarded amount: approx. 125.000 e. My team consists of 3 postdoctoral researchers. 10.2014– FWO2 Postdoctoral grant, Vrije Universiteit Brussel, Belgium. 09.2018 10.2010– FWO Aspirant grant, Vrije Universiteit Brussel, Belgium. 09.2014 10.2010– European Union PhD fellowship, University of Bucharest, Romania. 09.2013 Awarded but declined in favour of the FWO Aspirant Grant 10.2004– Merit based scholarship, University of Bucharest, Romania. 06.2010 Awarded throughout my bachelor and master studies. 07.2009 Erasmus Grant. Full support for attending the summer school Geometric and Algebraic Methods with Applications in Physics, Universiteit Antwerpen, Belgium. 08.2007 Scuola Matematica Interuniversitaria fellowship. Full support for attending the summer school in Cortona, Italy.

1Romanian Executive Unit for Financing Higher Education, Research, Development and Innovation 2Research Foundation - Flanders Research visit grants 11-12.2020 Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France. Full financial support for the visit offered by the institute. 11.2018 Max Planck Institut für Mathematik, Bonn, Germany. Full financial support for the visit offered by the Max Planck Society. 09.2018 Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France. Full financial support for the visit offered by the institute. 11.2016 Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France. Full financial support for the visit offered by the institute. 06.2015 University of Ferrara, Italy. Full financial support for the visit offered by INdAM3. 03.2015 Max Planck Institut für Mathematik, Bonn, Germany. Full financial support for the visit offered by the Max Planck Society. Teaching 10.2015– Category Theory, Vrije Universiteit Brussel, Lecturer. Course for the joint master program in mathematics of the Universities of Brussels and Antwerp. 10.2010– Algebraic geometry, Vrije Universiteit Brussel, Teaching Assistant. 09.2015 Course for the third year bachelor program in mathematics. 10.2009– Algebra, The Bucharest University of Economic Studies, Teaching Assistant. 09.2010 Course for the first year bachelor program in economics. 10.2009– Analysis, The Bucharest University of Economic Studies, Teaching Assistant. 09.2010 Course for the first year bachelor program in economics. 10.2009– Mathematics for economists, The Bucharest University of Economic Studies, 09.2010 Teaching Assistant. Course for the first year bachelor program in economics. Research Books [2] A.L. Agore, G. Militaru, Extending structures: Fundamentals and Applications, Taylor & Francis Group, Monographs and Research Notes in Mathematics, 2019, 224 pages, ISBN 9780815347842. [1] A.L. Agore, Categorical constructions, braidings on monoidal categories and bicrossed products of Hopf algebras, VUB Press, 199 + xx pages, ISBN 9789057182129; PhD Thesis, Vrije Universiteit Brussel, 2012. Preprints [40] A.L. Agore, A.S. Gordienko, J. Vercruysse, V -universal Hopf algebras (co)acting on Ω-algebras, 31 pages, preprint 2020, submitted for publication.

3Istituto Nazionale di Alta Matematica Published papers/accepted for publication (according to Web of Science) [39] A.L. Agore, A.S. Gordienko, J. Vercruysse, Equivalences of (co)module algebra structures over Hopf algebras, 35 pages, to appear in Journal of Noncommutative Geometry. [38] A.L. Agore, Universal coacting Poisson Hopf algebras, 16 pages, to appear in Manuscripta Mathematica DOI: 10.1007/s00229-020-01207-0. [37] A.L. Agore, G. Militaru, A new invariant for finite dimensional Leibniz/Lie algebras, Journal of Algebra 562 (2020), 390–409. [36] A.L. Agore, Constructing Hopf braces, International Journal of Mathematics 30 (2019), 1850089, 1–17. [35] A.L. Agore, L. Năstăsescu, Bicrossed products with the Taft algebra, Archiv der Mathematik 113 (2019), 21–36. [34] A.L. Agore, Classifying bicrossed products of two Taft algebras, Journal of Pure and Applied Algebra 222 (2018), 914–930.

[33] A.L. Agore, Hopf algebras which factorize through the Taft algebra Tm2 (q) and the group Hopf algebra K[Cn], Symmetry, Integrability and Geometry: Methods and Applications 10 (2018), 027, 14 pages. [32] A.L. Agore, G. Militaru, Galois groups and group actions on Lie algebras, Journal of Lie Theory 28 (2018), 1165–1188. [31] A.L. Agore, The maximal dimension of unital subalgebras of the matrix alge- bra, Forum Mathematicum 29 (2017), 1–5. [30] A.L. Agore, G. Militaru, Hochschild products and global non-abelian cohomol- ogy for algebras. Applications, Journal of Pure and Applied Algebra 221 (2017), 366–392. [29] A.L. Agore, G. Militaru, Extending structures, Galois groups and supersolvable associative algebras, Monatshefte für Mathematik 181 (2016), 1–33. [28] A.L. Agore, G. Militaru, Jacobi and Poisson algebras, Journal of Noncommutative Geometry 9 (2015), 1295–1342. [27] A.L. Agore, G. Militaru, Classifying complements for groups. Applications, Annales de l’Institut Fourier 65 (2015), 1349–1365. [26] A.L. Agore, G. Militaru, Itô’s theorem and metabelian Leibniz algebras, Linear and Multilinear Algebra 63 (2015), 2187–2199. [25] A.L. Agore, G. Militaru, On a type of commutative algebras, Linear Algebra and its Applications 485 (2015), 222–249. [24] A.L. Agore, G. Militaru, The global extension problem, crossed products and co-flag non-commutative Poisson algebras, Journal of Algebra 426 (2015), 1-31 [23] A.L. Agore, Free Poisson Hopf algebras generated by coalgebras, Journal of Mathematical Physics 10 (2014), 083502, 1–10. [22] A.L. Agore, G. Militaru, Bicrossed products, matched pair deformations and the factorization index for Lie algebras, Symmetry, Integrability and Geometry: Methods and Applications 10 (2014), 065, 16 pages. [21] A.L. Agore, G. Militaru, Extending structures for Lie algebras, Monatshefte für Mathematik 174 (2014), 169–193. [20] A.L. Agore, G. Militaru, Extending structures I: the level of groups, Algebras and Representation Theory 17 (2014), 831–848. [19] A.L. Agore, Classifying complements for associative algebras, Linear Algebra and its Applications 446 (2014), 345–355. [18] A.L. Agore, G. Bontea, G. Militaru, Classifying bicrossed products of Hopf algebras, Algebras and Representation Theory 17 (2014), 227–264. [17] A.L. Agore, S. Caenepeel, G. Militaru, Braidings on the category of bimodules, Azumaya algebras and epimorphisms of rings, Applied Categorical Structures 22 (2014), 29–42. [16] A.L. Agore, G. Bontea, G. Militaru, The classification of all crossed products H4# k[Cn], Symmetry, Integrability and Geometry: Methods and Applications 10 (2014), 049, 12 pages. [15] A.L. Agore, G. Militaru, Unified products for Leibniz algebras. Applications, Linear Algebra and its Applications 439 (2013), 2609–2633. [14] A.L. Agore, G. Militaru, Classifying complements for Hopf algebras and Lie algebras, Journal of Algebra 391 (2013), 193–208. [13] A.L. Agore, Crossed product of Hopf algebras, Communications in Algebra 40 (2013), 2519 – 2542. [12] A.L. Agore, G. Bontea, G. Militaru, Classifying coalgebra split extensions of Hopf algebras, Journal of Algebra and its Applications 12 (2013), 1250227. [11] A.L. Agore, Coquasitriangular structures for extensions of Hopf algebras. Ap- plications, Glasgow Mathematical Journal 55 (2013), 201 – 215. [10] A.L. Agore, G. Militaru, Unified products and split extensions of Hopf algebras, Contemporary Mathematics – American Mathematical Society 585 (2013), 1 – 15. [9] A.L. Agore, S. Caenepeel, G. Militaru, The center of the category of bimod- ules and descent data for non-commutative rings, Journal of Algebra and its Applications 11 (2012), 1250102. [8] A.L. Agore, G. Militaru, Schreier type theorems for bicrossed products, Central European Journal of Mathematics 2 (2012), 722–739. [7] A.L. Agore, G. Militaru, Extending structures II: The quantum version, Journal of Algebra 336 (2011), 321–341. [6] A.L. Agore, Limits of coalgebras, bialgebras and Hopf algebras, Proceedings of the American Mathematical Society 139 (2011), 855–863. [5] A.L. Agore, Categorical constructions for Hopf algebras, Communications in Algebra 39 (2011), 1476–1481. [4] A.L. Agore, D. Frăţilă, Crossed product of cyclic groups, Czechoslovak Mathe- matical Journal 60 (2010), 889–901. [3] A.L. Agore, Monomorphisms of coalgebras, Colloquium Mathematicum 120 (2010), 149–155. [2] A.L. Agore, A. Chirvăsitu, B. Ion, G. Militaru Bicrossed products for finite groups, Algebras and Representation Theory 12 (2009), 481–488. [1] A.L. Agore, G. Militaru, Crossed product of groups. Applications, Arabian Journal for Science and Engineering 33 (2008), 1–18. Selected conference talks 08.2019. Equivalences of (co)module algebra structures over Hopf algebras, Represen- tation Theory and Integrable Systems, ETH Zürich, Switzerland. http://rtis2019.math.iupui.edu/schedule 01.2019. Support equivalences of Hopf (co)module algebra structures, Aspects of higher representation theory: quantum groups and categorification, Université Libre de Bruxelles, Belgium. http://dwispc8.vub.ac.be/Aspects/ 07.2018. Equivalences of Hopf (co)module algebra structures, International Category Theory Conference, University of Azores, Island of S. Miguel, Portugal. http://www.mat.uc.pt/~ct2018/ 03.2018 On Hopf braces, First antipode workshop, Université Libre de Bruxelles, Belgium. http://homepages.vub.ac.be/~hopfalgb/ANTIPODE/index.html 02.2017 On the category of (Poisson) Hopf algebras, Conference for young researchers in homotopy theory and categorical structures, Max Planck Institut für Mathematik, Bonn, Germany. https://www.mpim-bonn.mpg.de/node/6791 07.2016 Bicrossed descent theory for groups. Applications, 7th European Congress of Mathematics, Technische Universität Berlin, Germany. http://www.7ecm.de/program/contributed_talks.html 01.2016 Galois theory for Lie algebras, Workshop on Hopf algebras and related topics, University of Turin, Italy. https://sites.google.com/site/whrt2016/speakers-and-participants 09.2015 Galois groups and group actions on Lie algebras, Ferrara Algebra Workshop 2015, University of Ferrara, Italy. https://sites.google.com/site/fwcm2015/speakers-and-participants 08.2015 The factorization index for finite groups, The Young Researchers in Mathematics Conference, University of Oxford, United Kingdom. http://www.yrm2015.co.uk/assets/booklet/YRM2015-Booklet.pdf 06.2015 Jacobi and Poisson algebras, The Eighth Congress of Romanian Mathematicians, "Alexandru Ioan Cuza" University, Iasi, Romania. http://www.math.uaic.ro/cmr2015/index.php?talks 06.2015 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. http://homepages.ulb.ac.be/~jvercruy/HA2015/ 07.2014 Classifying split extensions of quantum groups, 30th International Colloquium on Group Theoretical Methods in Physics, Ghent University, Belgium. http://www.group30.ugent.be/docs/Group30-Programme.pdf 06.2014 The extending structures problem for Lie algebras, XXIInd International Conference on Integrable Systems and Quantum symmetries, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University Prague, Czech Republic. http://www.intsystems.cz/2014-2/ 09.2013 Extending structures for algebras, International Conference ”Some Trends in Algebra”, Charles University, Prague, Czech Republic. http://www.karlin.mff.cuni.cz/~sta/sta13/talks.html 06.2013 Exact factorizations for Hopf algebras. Applications, Joint international meet- ing of the American Mathematical Society and the Romanian Mathematical Society, ”1 Decembrie 1918” University of Alba-Iulia, Alba-Iulia, Romania. http://imar.ro/ams-ro2013/talks.html 09.2012 Deformations and descent type theory for Hopf algebras, International Con- ference Algebra Geometry Mathematical Physics, Brno University of Technology, Czech Republic. http://agmp.eu/brno12/ 07.2012 Bicrossed descent theory of exact factorizations and the number of types of groups of finite order, International Conference Groups and Their Actions, Mathematical Research and Conference Center in Bedlewo, Poland. https://www.impan.pl/BC/Arch/2012/Actions.html 10.2011 Braidings on the category of bimodules, Azumaya algebras and descent data, International conference Algebra, Geometry and Mathematical Physics, Universite Haute Alsace Mulhouse, France. http://www.agmp.eu/mul11/ 07.2011 Crossed product of Hopf algebras, International Conference on Hopf algebras and tensor categories, University of Almeria, Spain. https://w3.ual.es/Congresos/hopf2010/program2.htm 06.2010 Categorical methods for Hopf algebra theory, International Category Theory Conference, University of Genova, Italy. http://ct2010.disi.unige.it/index.php?page=4 Selected seminar talks 05.2017 The factorization problem for Hopf algebras, Séminaire Quantique, Institut de Recherche Mathématique Avancée, Strasbourg, France. http://irma.math.unistra.fr/php/equip_sem.php?equipe=ATGQR&theme= Quantique&periode=passe 03.2017 The factorization problem: from groups to Hopf algebras, Séminaire de Géométrie et Quantification, Institut Henri Poincaré, Paris, France. http://www.iecl.univ-lorraine.fr/~Camille.Laurent-Gengoux/SeminaireIHP/ seminaireAnciennePage.gq.htm Scientific activities 2010 - Referee for several journals: Forum Math., J. Algebra, Algebr. Represent. Theory, J. Pure Appl. Algebra, Linear Algebra Appl., Linear Multilinear Algebra, J. Geom. Phys., Symmetry Integrability Geom. Methods Appl., Arch. Math. (Basel), Comm. Algebra etc. 2010 - Reviewer for Mathematical Reviews

Last updated: September 7, 2020