Phone: Homepage: aborale/

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1 Ada Boralevi Technische Universiteit Eindhoven P.O. Box MB EINDHOVEN, NL Phone: Homepage: aborale/ Education PhD in Mathematics, Università degli Studi di Firenze, July Thesis in Algebraic Geometry, title: Quiver representations and homogeneous vector bundles on flag manifolds. Advisor: Prof. Giorgio Ottaviani. MA in Mathematics, University of California, Los Angeles (UCLA), June Degree in Mathematics (Laurea), 110/110 summa cum laude, Università degli Studi di Firenze, September Thesis in Algebraic Geometry, title: The Horrocks-Mumford bundle and its restrictions to planes. Supervisor: Prof. Giorgio Ottaviani. Semester attending the Diplome d Etudes Approfondies (DEA) Méthodes Algébriques, Université Paris VI, September 2003 February 2004 Employment January 2015 present: Postdoctoral fellow, Department of Mathematics and Computer Science, Technische Universiteit Eindhoven. January 2012 January 2013 & July 2013 January 2015: Postdoctoral fellow, Geometry and Mathematical Physics Sector, International School for Advanced Studies, Trieste. March 2013 June 2013: Postdoctoral fellow, Department of Algebra and Algebraic Geometry, Institute of Mathematics of the Polish Academy of Sciences, Warsaw. June 2011 December 2011: Postdoctoral fellow, Dipartimento di Matematica e Informatica, Università degli Studi di Trieste. September 2008 May 2011: Visiting Assistant Professor, Mathematics Department, Texas A&M University, College Station. Publications Refereed Journal Articles - Planes of matrices of constant rank and globally generated vector bundles, with E. Mezzetti, to appear in Annales de l Institut Fourier (2015). - Orthogonal bundles and skew-hamiltonian matrices, with R. Abuaf, to appear in Canadian Journal of Mathematics (2015).

2 Ada Boralevi 2 - Linear spaces of matrices of constant rank and instanton bundles, with D. Faenzi and E. Mezzetti, Advances in Mathematics 248 (2013), A note on secants of Grassmannians, to appear in Rendiconti dell Istituto di Matematica dell Università di Trieste 45 (2013), Secants of Lagrangian Grassmannians, with J. Buczyński, Annali di Matematica Pura ed Applicata 190, 4 (2011), Sections of homogeneous vector bundles, Journal of Algebra 323 (2010) Effective results on Picard bundles via M-regularity, with F. Prantil, Le Matematiche 43,1 (2008) The Horrocks-Mumford bundle restricted to planes, Collectanea Mathematica 58,1 (2007) Refereed Proceedings - On simplicity and stability of the tangent bundle of rational homogeneous varieties, Proceedings of the 2008 Grenoble Summer School Geometric Methods in Representation Theory, Séminaires et Congrès, Société Mathématique de France, 24-II (2012), Book Chapters - Weyman s method for subspace varieties of skew-symmetric tensors, with L.Oeding, in J.M. Landsberg, Tensors: Geometry and Applications, AMS GSM, vol. 128, (2012), Preprints - Truncated modules and linear presentations of vector bundles, with D. Faenzi and P. Lella, arxiv: Manuscripts in preparation - ED degree of Grassmannians, with J. Draisma, E. Horobet and G. Ottaviani. - Spaces of matrices of constant rank and sub-canonical curves, with J. Buczyński and G. Kapustka. - A quiver version of the BGG resolution. Invited Talks & Other Presentations Invited Talks AMS-EMS-SPM International Meeting 2015, Oporto, Orthogonal instantons and skew-hamiltonian matrices, June Intercity Number Theory Seminar, Vrije Universiteit Amsterdam, Linear spaces of matrices of constant rank, May Technische Universiteit Eindhoven, Spaces of constant rank matrices, July Universidade Estadual de Campinas, Linear spaces of skew-symmetric matrices and instantons, April Universidade Estadual de Campinas, Orthogonal bundles and skew-hamiltonian matrices, March 2014.

3 Ada Boralevi 3 Christmas Workshop, Università di Milano, Linear spaces of matrices of constant rank, December Università di Torino, Fibrati ortogonali e matrici anti-hamiltoniane, October Jagellonian University, Krakow, Orthogonal bundles and skew-hamiltonian matrices, June MIMUW University of Warsaw, Orthogonal bundles and skew-hamiltonian matrices, April IMPANGA, Warsaw, Spaces of matrices of constant rank and instanton bundles, March Texas A&M University, Spaces of matrices of constant rank and instantons, February SISSA, Trieste, Spaces of matrices of constant rank and instantons, January UPPA, Pau, Fibrés orthogonaux et matrices skew-hamiltoniennes, December Institut Fourier, Grenoble, Spaces of matrices of constant rank and instantons, October Università di Trieste, Quiver representations, homogeneous bundles and the BGG resolution, March SISSA, Moduli spaces of orthogonal bundles, January Università di Trieste, Secanti di Grassmanniane e Grassmanniane Lagrangiane, June University of Texas at Austin, Homogeneous vector bundles and quivers, December Colorado State University at Fort Collins, Secant varieties and the Waring problem and Secants of Lagrangian Grassmannians, November UMass Amherst, Homogeneous vector bundles and quivers, October Texas A&M University, Secants of Lagrangian Grassmannians, September Università di Firenze, Secanti di Grassmanniane Lagrangiane, July Università di Trieste, Coomologia di fibrati vettoriali omogenei e rappresentazioni di quivers, June Università di Firenze, Quiver representations and the BGG resolution, June Northeastern University, Boston, Cohomology of homogeneous vector bundles via quiver representations, April Texas A&M University, Simplicity and stability of tangent bundles on rational homogeneous varieties, March Conference Geometric Methods in Representation Theory, Institut Fourier, Grenoble, Quivers and homogeneous vector bundles on flag manifolds, June Conference Giornate di Geometria Algebrica e argomenti correlati IX, Levico Terme, Fibrati vettoriali omogenei su varietà di bandiera e rappresentazioni di quivers, May Università di Firenze, Rappresentazioni di quivers e fibrati omogenei, May Conference Progressi Recenti in Geometria Reale e Complessa, Levico Terme, Il fibrato di Horrocks- Mumford ristretto ai piani, October Workshop Giornata Informale di Geometria Algebrica, Firenze, Risoluzioni per le restrizioni del fibrato di Horrocks-Mumford ai piani, April 2005.

4 Ada Boralevi 4 Contributed Talks (Accepted talk proposals) Conference VBAC 2013, Vector Bundles on Algebraic Curves, SISSA, Trieste, Spaces of matrices of constant rank and instanton bundles, June Conference MEGA, Effective Methods in Algebraic Geometry, Frankfurt, Spaces of matrices of constant rank and instanton bundles, June Workshop Syzygies in Berlin, Spaces of matrices of constant rank and instanton bundles, May Workshop on Moduli Spaces and Mathematical Physics, CIMAT, Guanajuato, Orthogonal bundles, skew-hamiltonian matrices, and determinantal varieties, January Workshop on Invariant Theory and Projective Geometry, CIRM, Trento, Linear systems of skewsymmetric matrices of constant rank and instanton bundles, September Conference GAeL XVII, Géométrie Algébrique en Liberté, Leiden, Simplicity and stability of tangent bundles on rational homogeneous varieties, June Conference GAeL XVI, Géométrie Algébrique en Liberté, Aranjuez, Homogeneous vector bundles and quiver representations, April Other Presentations (Contributions to the following working seminars:) SMUGA, Working seminar in Algebraic Geometry, Warsaw Geometry Seminar Trieste-Udine SISSA Running Seminar in Geometry Texas A&M University Working Seminar in Geometry Texas A&M University Students/Postdocs Working Geometry Seminar Teaching & Supervising Experience Instructor - A.A , Università degli Studi di Trieste: Matematica per il CdL Farmacia - A.A , Università degli Studi di Trieste: Matematica per il CdL Farmacia - Spring 2011, Texas A&M University (TAMU): Business Mathematics 1 - Math Fall 2010, TAMU: Business Mathematics 1 - Math 141 (2 sections) - Spring 2010, TAMU: Calculus I - Math Fall 2009, TAMU: Calculus I - Math 151 (2 sections) - Spring 2009, TAMU: Linear Algebra - Math Fall 2008, TAMU: Business Mathematics 1 - Math 141 (2 sections)

5 Ada Boralevi 5 Teaching Assistant - A.A , Mastermath, joint Dutch Universities Master program: Commutative Algebra. - A.A , Università degli Studi di Trieste: Geometria 1 per il CdL Matematica e Fisica - A.A , Università degli Studi di Firenze: Geometria per il CdL Ingegneria Meccanica - Spring 2006, UCLA: Calculus of Several Variables - Math 32a - Spring 2006, UCLA: Introduction to Topology - Math 121 Supervisor - Co-supervisor, BS-level undergraduate thesis, Università degli Studi di Trieste, CdL Matematica. Student Elia Rizzo, thesis titled Esempi di varietà omogenee, defended in December Organizational Experience Seminars - Co-organizer, Geometry Seminar Trieste-Udine, Università degli Studi di Trieste and Università di Udine, September 2011-January 2013, bi-weekly meetings. - Co-organizer, Algebra, Combinatorics and Algebraic Geometry Seminar, TAMU, Spring 2011, weekly meetings. - Co-organizer, Graduate Student Seminar Colloquiando, Dipartimento U.Dini, Università degli Studi di Firenze, March June 2008, weekly meetings. Schools and workshops - Vector Bundles Days, Pau-Trieste Workshop on Vector Bundles and Related Topics, with D. Faenzi (UPPA), E. Mezzetti (Trieste), and J. Vallès (UPPA), held in Pau, April Vector Bundles Days II, Pau-Trieste Workshop on Vector Bundles and Related Topics, On the occasion of Emilia Mezzetti s 60th birthday, with V. Beorchia (Trieste), P. De Poi (Udine), D. Faenzi (UPPA), D. Portelli (Trieste), and J. Vallès (UPPA), held in Trieste, January Summer School An interdisciplinary approach to tensor decomposition, organized with A. Bernardi (Bologna) and E. Postinghel (Leuven), a held at CIRM-FBK, Trento, in July Courses by JM Landsberg, B. Mourrain, and K. Ranestad. Scholarships, Certificates, Grants 2013-present: part of the research project PRIN (Progetto di Ricerca di Interesse Nazionale) titled Geometria delle varietà algebriche, Italian National Government Funding. Directors of the project Prof. Verra (Università Roma 3) and Prof. Bruzzo (SISSA, Trieste) present: part of the research project FRA (Finanziamento Ricerca di Ateneo) titled Geometria e topologia delle varietà, Università degli Studi di Trieste. Director of the project Prof. Mezzetti.

6 Ada Boralevi : part of the research project PRIN titled Geometria delle varietà algebriche e dei loro spazi di moduli, Italian National Government Funding. Directors of the project Prof. Verra (Università Roma 3) and Prof. Bruzzo (SISSA, Trieste) : part of the research project PRIN titled Proprietà geometriche delle varietà reali e complesse, Italian National Government Funding. Director of the project Prof. Ancona (Università degli Studi di Firenze) : part of the research project PRIN titled Proprietà geometriche delle varietà reali e complesse, Italian National Government Funding. Director of the project Prof. Gentili (Università degli Studi di Firenze). University of Florence PhD Scholarship, January 2005 January Scholarship funded by the joint program Firenze-UCLA organized by UCLA and Università degli Studi di Firenze for Graduate Study at the UCLA Mathematics Department, August 2005 June Erasmus Scholarship from Università degli Studi di Firenze to attend a semester of Graduate courses at the DEA Méthodes Algébriques, Université Paris VI, September 2003 February Service Professional - Referee, Journal of Pure and Applied Algebra. - Reviewer for the American Mathematical Society. Professional societies - Unione Matematica Italiana - Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni (Istituto Nazionale di Alta Matematica) Additional Conferences & Schools attended MEGA, Effective Methods in Algebraic Geometry, Conference, Trento, June Symmetries of Kähler manifolds, dynamics and moduli spaces, Workshop, SISSA, Trieste, September Derived Categories, School (courses by Gaitsgory, Krause, Kutznetsov, Toda), Nantes, June 2014 Giornate di Geometria Algebrica e argomenti correlati XII, Conference, Torino, June 2014 Homage to Corrado Segre, Conference, Torino, November Classification of Algebraic Varieties and Related Topics, Conference, Cetraro, September Moduli Spaces and Mathematical Physics, School, CIMAT, Guanajuato, January Invariant Theory and Projective Geometry, School (courses by Manivel and Ottaviani), CIRM, Trento, September 2012.

7 Ada Boralevi 7 Genova-Torino-Milano Seminar, Torino, June Arrangements in Pyrénées, School and Workshop, Pau, June Derived categories in Algebraic Geometry, Workshop, Dijon, May On Tropical and Toric Geometry, School and Workshop (courses by Di Rocco and Mikhalkin), CIRM, Trento, September Texas Algebraic Geometry Seminar TAGS 2011, Rice University, Houston, April Classical Algebraic Geometry, Workshop, Roma, February th Texas Geometry and Topology Conference TGTC, Texas A&M University, College Station, November IMPANGA Summer school on Algebraic Geometry 2010, Institute of Mathematics of the Polish Academy of Sciences, Bedlewo, July Complex Algebraic Geometry, Conference, Institut Henri Poincaré, Paris, June Geometry of tensors and applications, School (courses by Landsberg, Ottaviani, Weyman), Nordfjordeid, June Texas Algebraic Geometry Seminar TAGS 2010, University of Texas at Austin, May Western Algebraic Geometry Seminar WAGS Fall 2009, UCLA, Los Angeles, October Degenerations, Projective Varieties and Interpolation Theory, SMI School (courses by Ciliberto and Miranda), Cortona, July VBAC 2009, Vector Bundles on Algebraic Curves, Conference, Berlin, June GAeL XVII, Géométrie Algébrique en Liberté, School (courses by Farkas, Müller-Stach, Sottile), Leiden, June Texas Algebraic Geometry Seminar TAGS 2009, Texas A&M University, College Station, May st Texas Geometry and Topology Conference, University of Houston, February Classical Algebraic Geometry Today, Workshop, MSRI, Berkeley, January th Texas Geometry and Topology Conference, University of Texas at Austin, October Geometry and Representation Theory of Tensors for Computer Science, Statistics, and other areas, Workshop, AIM, Palo Alto, July Geometry and Representation Theory of Tensors for Computer Science, Statistics, and other areas, School (courses by Landsberg, Lim, Morton), MSRI, Berkeley, July Aspects of Moduli, Conference, Centro De Giorgi, Pisa, June GAeL XVI, Géométrie Algébrique en Liberté, School (courses by D ly, Huybrechts, Vistoli), Aranjuez, April Geometry of Special Varieties, School and Workshop (courses by Ciliberto and Russo), CIRM, Trento, September P.R.A.G.M.A.T.I.C. 2007, Fourier-Mukai transforms, generic vanishing and regularity, School (courses by Pareschi and Popa), Catania, July 2007.

8 Ada Boralevi 8 Algebraic Geometry in Higher Dimensions, Conference, Levico Terme, June Interactions with Algebraic Geometry, Conference, Firenze, May Geometria proiettiva e birazionale delle varietà algebriche, School (courses by Ionescu, Mella, Ottaviani), Gargnano, April Vector Bundles and Low Codimensional Subvarieties, School and Workshop (courses by Ellia and Miró- Roig), CIRM, Trento, September AGaFe 2005, Geometry of Algebraic Varieties, Conference, Ferrara, June Algebraic Geometry and Categories, Conference, Nice, June Journées de Géométrie Algébrique, Conference, Lille, May Personal Information Citizenship: Italian (Born: Florence, Italy) Date of birth: September 17th, 1981 Languages: Italian (native speaker), English (excellent), French (excellent), German (elementary), Spanish (elementary). Certificate of Proficiency in English, University of Cambridge, UK, December Computer skills: LATEX, Maple, Macaulay2, LiE Last updated: June 28, 2015