Ada Boralevi Technische Universiteit Eindhoven P.O. Box 513 5600 MB EINDHOVEN, NL Phone: +31 40-247 7302 Email: adaboralevi@gmail.com Homepage: http://people.sissa.it/ aborale/ Education PhD in Mathematics, Università degli Studi di Firenze, July 2008. 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 2006. Degree in Mathematics (Laurea), 110/110 summa cum laude, Università degli Studi di Firenze, September 2004. 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).
Ada Boralevi 2 - Linear spaces of matrices of constant rank and instanton bundles, with D. Faenzi and E. Mezzetti, Advances in Mathematics 248 (2013), 895 920. - A note on secants of Grassmannians, to appear in Rendiconti dell Istituto di Matematica dell Università di Trieste 45 (2013), 67 72. - Secants of Lagrangian Grassmannians, with J. Buczyński, Annali di Matematica Pura ed Applicata 190, 4 (2011), 725 739. - Sections of homogeneous vector bundles, Journal of Algebra 323 (2010) 2301 2317. - Effective results on Picard bundles via M-regularity, with F. Prantil, Le Matematiche 43,1 (2008) 181 203. - The Horrocks-Mumford bundle restricted to planes, Collectanea Mathematica 58,1 (2007) 101 117. 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), 273 295. 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), 405 407. Preprints - Truncated modules and linear presentations of vector bundles, with D. Faenzi and P. Lella, arxiv:1505.04204. 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 2015. Intercity Number Theory Seminar, Vrije Universiteit Amsterdam, Linear spaces of matrices of constant rank, May 2015. Technische Universiteit Eindhoven, Spaces of constant rank matrices, July 2014. Universidade Estadual de Campinas, Linear spaces of skew-symmetric matrices and instantons, April 2014. Universidade Estadual de Campinas, Orthogonal bundles and skew-hamiltonian matrices, March 2014.
Ada Boralevi 3 Christmas Workshop, Università di Milano, Linear spaces of matrices of constant rank, December 2013. Università di Torino, Fibrati ortogonali e matrici anti-hamiltoniane, October 2013. Jagellonian University, Krakow, Orthogonal bundles and skew-hamiltonian matrices, June 2013. MIMUW University of Warsaw, Orthogonal bundles and skew-hamiltonian matrices, April 2013. IMPANGA, Warsaw, Spaces of matrices of constant rank and instanton bundles, March 2013. Texas A&M University, Spaces of matrices of constant rank and instantons, February 2013. SISSA, Trieste, Spaces of matrices of constant rank and instantons, January 2013. UPPA, Pau, Fibrés orthogonaux et matrices skew-hamiltoniennes, December 2012. Institut Fourier, Grenoble, Spaces of matrices of constant rank and instantons, October 2012. Università di Trieste, Quiver representations, homogeneous bundles and the BGG resolution, March 2012. SISSA, Moduli spaces of orthogonal bundles, January 2012. Università di Trieste, Secanti di Grassmanniane e Grassmanniane Lagrangiane, June 2011. University of Texas at Austin, Homogeneous vector bundles and quivers, December 2010. Colorado State University at Fort Collins, Secant varieties and the Waring problem and Secants of Lagrangian Grassmannians, November 2010. UMass Amherst, Homogeneous vector bundles and quivers, October 2010. Texas A&M University, Secants of Lagrangian Grassmannians, September 2010. Università di Firenze, Secanti di Grassmanniane Lagrangiane, July 2010. Università di Trieste, Coomologia di fibrati vettoriali omogenei e rappresentazioni di quivers, June 2009. Università di Firenze, Quiver representations and the BGG resolution, June 2009. Northeastern University, Boston, Cohomology of homogeneous vector bundles via quiver representations, April 2009. Texas A&M University, Simplicity and stability of tangent bundles on rational homogeneous varieties, March 2009. Conference Geometric Methods in Representation Theory, Institut Fourier, Grenoble, Quivers and homogeneous vector bundles on flag manifolds, June 2008. Conference Giornate di Geometria Algebrica e argomenti correlati IX, Levico Terme, Fibrati vettoriali omogenei su varietà di bandiera e rappresentazioni di quivers, May 2008. Università di Firenze, Rappresentazioni di quivers e fibrati omogenei, May 2008. Conference Progressi Recenti in Geometria Reale e Complessa, Levico Terme, Il fibrato di Horrocks- Mumford ristretto ai piani, October 2006. Workshop Giornata Informale di Geometria Algebrica, Firenze, Risoluzioni per le restrizioni del fibrato di Horrocks-Mumford ai piani, April 2005.
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 2013. Conference MEGA, Effective Methods in Algebraic Geometry, Frankfurt, Spaces of matrices of constant rank and instanton bundles, June 2013. Workshop Syzygies in Berlin, Spaces of matrices of constant rank and instanton bundles, May 2013. Workshop on Moduli Spaces and Mathematical Physics, CIMAT, Guanajuato, Orthogonal bundles, skew-hamiltonian matrices, and determinantal varieties, January 2013. Workshop on Invariant Theory and Projective Geometry, CIRM, Trento, Linear systems of skewsymmetric matrices of constant rank and instanton bundles, September 2012. Conference GAeL XVII, Géométrie Algébrique en Liberté, Leiden, Simplicity and stability of tangent bundles on rational homogeneous varieties, June 2009. Conference GAeL XVI, Géométrie Algébrique en Liberté, Aranjuez, Homogeneous vector bundles and quiver representations, April 2008. 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. 2014-2015, Università degli Studi di Trieste: Matematica per il CdL Farmacia - A.A. 2013-2014, Università degli Studi di Trieste: Matematica per il CdL Farmacia - Spring 2011, Texas A&M University (TAMU): Business Mathematics 1 - Math 141 - Fall 2010, TAMU: Business Mathematics 1 - Math 141 (2 sections) - Spring 2010, TAMU: Calculus I - Math 151 - Fall 2009, TAMU: Calculus I - Math 151 (2 sections) - Spring 2009, TAMU: Linear Algebra - Math 304 - Fall 2008, TAMU: Business Mathematics 1 - Math 141 (2 sections)
Ada Boralevi 5 Teaching Assistant - A.A. 2014-2015, Mastermath, joint Dutch Universities Master program: Commutative Algebra. - A.A. 2011-2012, Università degli Studi di Trieste: Geometria 1 per il CdL Matematica e Fisica - A.A. 2006-2007, 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 2011. 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 2013. - 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 2014. - 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 2014. 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). 2012-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.
Ada Boralevi 6 2011-2012: 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). 2009-2010: 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). 2007-2008: 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 2008. 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 2006. 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 2004. 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 2015. Symmetries of Kähler manifolds, dynamics and moduli spaces, Workshop, SISSA, Trieste, September 2014. 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 2013. Classification of Algebraic Varieties and Related Topics, Conference, Cetraro, September 2013. Moduli Spaces and Mathematical Physics, School, CIMAT, Guanajuato, January 2013. Invariant Theory and Projective Geometry, School (courses by Manivel and Ottaviani), CIRM, Trento, September 2012.
Ada Boralevi 7 Genova-Torino-Milano Seminar, Torino, June 2012. Arrangements in Pyrénées, School and Workshop, Pau, June 2012. Derived categories in Algebraic Geometry, Workshop, Dijon, May 2012. On Tropical and Toric Geometry, School and Workshop (courses by Di Rocco and Mikhalkin), CIRM, Trento, September 2011. Texas Algebraic Geometry Seminar TAGS 2011, Rice University, Houston, April 2011. Classical Algebraic Geometry, Workshop, Roma, February 2011. 44th Texas Geometry and Topology Conference TGTC, Texas A&M University, College Station, November 2010. IMPANGA Summer school on Algebraic Geometry 2010, Institute of Mathematics of the Polish Academy of Sciences, Bedlewo, July 2010. Complex Algebraic Geometry, Conference, Institut Henri Poincaré, Paris, June 2010. Geometry of tensors and applications, School (courses by Landsberg, Ottaviani, Weyman), Nordfjordeid, June 2010. Texas Algebraic Geometry Seminar TAGS 2010, University of Texas at Austin, May 2010. Western Algebraic Geometry Seminar WAGS Fall 2009, UCLA, Los Angeles, October 2009. Degenerations, Projective Varieties and Interpolation Theory, SMI School (courses by Ciliberto and Miranda), Cortona, July 2009. VBAC 2009, Vector Bundles on Algebraic Curves, Conference, Berlin, June 2009. GAeL XVII, Géométrie Algébrique en Liberté, School (courses by Farkas, Müller-Stach, Sottile), Leiden, June 2009. Texas Algebraic Geometry Seminar TAGS 2009, Texas A&M University, College Station, May 2009. 41st Texas Geometry and Topology Conference, University of Houston, February 2009. Classical Algebraic Geometry Today, Workshop, MSRI, Berkeley, January 2009. 40th Texas Geometry and Topology Conference, University of Texas at Austin, October 2008. Geometry and Representation Theory of Tensors for Computer Science, Statistics, and other areas, Workshop, AIM, Palo Alto, July 2008. Geometry and Representation Theory of Tensors for Computer Science, Statistics, and other areas, School (courses by Landsberg, Lim, Morton), MSRI, Berkeley, July 2008. Aspects of Moduli, Conference, Centro De Giorgi, Pisa, June 2008. GAeL XVI, Géométrie Algébrique en Liberté, School (courses by Demailly, Huybrechts, Vistoli), Aranjuez, April 2008. Geometry of Special Varieties, School and Workshop (courses by Ciliberto and Russo), CIRM, Trento, September 2007. 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.
Ada Boralevi 8 Algebraic Geometry in Higher Dimensions, Conference, Levico Terme, June 2007. Interactions with Algebraic Geometry, Conference, Firenze, May 2007. Geometria proiettiva e birazionale delle varietà algebriche, School (courses by Ionescu, Mella, Ottaviani), Gargnano, April 2007. Vector Bundles and Low Codimensional Subvarieties, School and Workshop (courses by Ellia and Miró- Roig), CIRM, Trento, September 2006. AGaFe 2005, Geometry of Algebraic Varieties, Conference, Ferrara, June 2005. Algebraic Geometry and Categories, Conference, Nice, June 2005. Journées de Géométrie Algébrique, Conference, Lille, May 2005. 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 1998. Computer skills: LATEX, Maple, Macaulay2, LiE Last updated: June 28, 2015