Personal Details Curriculum vitae: Cristina Bertone Born in Biella (Italy) on 15th March 1982 email: cristina.bertone@unito.it Education Ph. D. degree in Scienza e Alta Tecnologia, indirizzo Matematica, University of Torino (Italy), and Doctorat en Sciences Fondamentales et Appliquées, specialité Mathématiques, University of Nice-Sophia Antipolis (France); Ph. D. thesis in cotutela. Thesis defended in Torino (Italy) on 26th March 2010. Thesis title: Polynomial Factorization and Curve Decomposition Algorithms. Advisors : prof. André Galligo (University of Nice-Sophia Antipolis) e prof. Margherita Roggero (University of Torino). Master Thesis in Mathematics at University of Torino (Italy) on 17th July 2006. Mark: 110/110 cum laude. Thesis title: Chern classes of reflexive sheaves. Advisor: prof. Margherita Roggero. Bachelor Degree in Mathematics at University of Torino (Italy) on 13th July 2004. Mark: 110/110 cum laude. Thesis title: Introduction to algebraic curves: Affine curves and local rings. Advisor: dr. Giorgio Ferrarese. Professional Experiences Ricercatore di tipo a) (non-tenured assistant professor) 1 October 2014 - today. Department of Mathematics G. Peano, University of Torino (Italy). Post Doc fellowship: 1 December 2011-2 September 2014 (maternity leave from January 2nd 2013 to October 3rd 2013): Department of Mathematics G. Peano, University of Torino (Italy). Research Program Components of the Hilbert Scheme, supervisor prof. Margherita Roggero. Post Doc fellowship: 1 December 2010-30 November 2011: Department of Mathematics G. Peano, University of Torino (Italy). Research Program Absolute Decomposition Algorithms for complete intersections in affine and projective spaces, supervisor prof. Alberto Conte. Ph. D. student at the Laboratoire Dieudonné, University of Nice-Sophia Antipolis (France), October 2008-January 2010. 1
Teaching Matematica con Elementi di Statistica for Science and Technology for the Cultural Heritage, University of Torino, teaching assistant, academic years: 2005-2006, 2006-2007, 2007-2008. Geometria for Engeneering, Politecnico of Torino, teaching assistant, academic years 2006-2007, 2009-2010, 2013-2014. Geometria 1 for Mathematics, University of Torino, tutor, academic year 2009-2010. Matematica for Geology, University of Torino, tutor, academic years 2010-2011, 2011-2012. Algebra e Geometria for Mathematics for Finance and Insurance, University of Torino, tutor, academic year 2010-2011. Geometria per studenti Poli@Home for Engeneering, Politecnico of Torino, on-line course, tutor, academic year 2010-2011. Modelli Matematici applicati alle Scienze della Terra, for Geology (Master course), University of Torino, teaching assistant, academic year 2010-2011. Istituzioni di Geometria for Mathematics (Master course), University of Torino, teaching assistant, academic years 2010-2011 and 2011-2012. Modelli Matematici applicati alle Scienze della Terra, for Geology (Master course), University of Torino, instructor, academic year 2012-2013. Algebra 1 for Mathematics, University of Torino, teaching assistant, academic year 2014-2015. Matematica Discreta e Logica for Computer Science, University of Torino, instructor, academic year 2014-2015. Research Interests Computational Algebra and Effective Algebraic Geometry with interactions with Combinatorics and Commutative Algebra. Personal skills Languages: Italian (mother tongue), English (Good), French (good), Spanish (basic). Computer skills: Maple, L A TEX, C and C++ programming, MatLab, Singular, CoCoA. Fellowships and Awards INdAM fellowship for Bachelor students, from 2001 to 2004. Medaglia d Argento of Univerity of Torino for the best Master thesis in Mathematics for the academic year 2005-2006. 2
Ph. D. fellowship for 3 years for the Dottorato di Ricerca in Scienza e Alta Tecnologia, indirizzo in Matematica, University of Torino, January 2007-December 2010. Premio Picco Botta, University of Torino, for the best Ph. Geometry defended in 2010. D. thesis in Algebraic Scientific activities Reviewer for Mathematical Reviews (AMS) and Zentralblatt MATH. Referee for Journal of Symbolic Computation Mathematics and Computers in Simulations and International Mathematics Research Notices. Member of the Equipe Galaad, Inria Sophia Antipolis-Méditerrané, October 2008-January 2010. Member of Prin 2008: member of the Research Unit of Torino for the project Geometria delle varietà algebriche e dei loro spazi di moduli, scientific responsible of the unit prof. Alberto Conte, scientific responsible of the project prof. Alessandro Verra. Member of GNSAGA: member of the Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni from 2008. Member of Local Research group Algebra e Geometria Algebrica. The group was founded by Dipartimento di Matematica G. Peano (Turin) in 2012, 2013, 2014. Member of Local Young research group Algebra e Geometria Algebrica. The group was founded by Dipartimento di Matematica G. Peano (Turin) in 2013. Principal Investigator oflocal Young research group Algebra, Geometria Algebrica e Storia. The group was founded by Dipartimento di Matematica G. Peano (Turin) in 2014. Scientific Collaborations In Italy: prof. Edoardo Ballico (University of Trento), dr. Francesca Cioffi (University of Napoli), dr. Margherita Guida (University of Napoli), dr. Paolo Lella (University of Torino), dr. Vincenzo Micale (University of Catania), prof. Margherita Roggero (University of Torino). Abroad: dr. Guillaume Chèze (University of Toulouse, France), prof. André Galligo (University of Nice-Sophia Antipolis, France), dr. Nguyen Dang Hop (University of Osnabrück, Germany), dr. Kathrin Vorwerk (KTH Stockholm, Sweden). Talks and Posters Positività di classi di Chern per fasci riflessivi su P N Politecnico of Torino, 12th February 2007. Department of Mathematics, Positivity of Chern Classes for Reflexive Sheaves on P N within Workshop on Commutative Algebra and Algebraic Geometry and Applications, Brolo (Messina, Italy) September 2007. 3
Modular algorithm for absolute factorization Inria Sophia Antipolis-Méditerranée (France), equipe Galaad, May 2009. Modular Las Vegas Algorithms for Polynomial Absolute Factorization within Mega 2009, Effective Methods in Algebraic Geometry, Barcelona (Spain) June 2009. Algoritmo modulare di fattorizzazione assoluta per polinomi bivariati Department of Mathematics, University of Torino, 13 July 2009. Probabilistic Algorithms for Polynomial Absolute Factorization, Cristina Bertone, Guillaume Chèze and André Galligo poster presented by André Galligo at ISSAC 2009, Seul (South Korea) July 2009. Modular techniques for decomposition of curves within G.T.M. Seminar: Some Topics in Commutative Algebra and Algebraic Geometry, Politecnico of Torino, Aprile 2010. p-adic approximations of algebraic numbers within Colloque Doctorants Dieudonné 2010, Auron (France), May 2010. Tecniche modulari per la decomposizione di curve e insiemi algebrici within Giornate di Geometria Algebrica e Argomenti Correlati, X edizione, Gargnano (Italy), May 2010. Aperti di Borel dello schema di Hilbert e calcolo esplicito mediante generatori superminimali Department of Mathematics, Politecnico of Torino, May 2011. Schemi di Hilbert e aperti di Borel within XIX Congresso UMI, Bologna (Italy), September 2011. A division algorithm in an affine framework for flat families covering Hilbert schemes, Margherita Roggero with Cristina Bertone and Francesca Cioffi poster presented by M. Roggero at Mega 2013, Frankfurt (Germany), June 4th 2013. The scheme of Liftings and Applications within EACA 2014 - Encuentro de Algebra Computacional y Aplicaciones Barcellona (Spain), June 2014. Quasi stable ideals and Borel-fixed ideals with a given Hilbert polynomial, Dipartimento di Matematica e Applicazioni, University Federico II, Naples (Italy), 25th September 2014. Generic initial extensors on a Hilbert scheme within Miniworkshop in Algebraic Geometry in Torino, Dipartimento di Matematica G. Peano, Torino, February 2015. Computable Hilbert schemes, Univeristy of Kassel (Germany), 9th April 2015. Participation to Conferences and Schools Scuola di geometria proiettiva e birazionale delle varietà algebriche organized by University of Milano, held at Gargnano (Brescia), April 2007. Minicorso di algebra computazionale, Basi di Groebner e Applicazioni, Department of Mathematics G. Peano, University of Torino, June 2007. 4
The Second Training School in Symbolic Computation organized by Research Institute for Symbolic Computation, University of Linz, at Hagenberg (Austria), June-July 2007, financially supported by the European project SCIEnce. Algebraic Biology 2007 Hagenberg (Austria), July 2007. Pragmatic 2008, Department of Mathematics, University of Catania, lectures by proff. J. Herzog and V. Welker, July-August 2008, financially supported by the organizers. G.T.M. Seminar: some topics in Commutative Algebra and Algebraic Geometry Politecnico of Torino, September 2008. Workshop on Commutative Algebra and Algebraic Geometry and Applications organized by University of Messina, at Villafranca Tirrena (Messina, Italy) September 2009. Giornata commutative a Torino Politecnico of Torino, April 2011. Mega 2011, Effective Methods in Algebraic Geometry at Stockholm (Sweden), June 2011, financially supported by the organizers. Pragmatic 2011, Department of Mathematics, University of Catania, lectures by proff. M. Boij and R. Froberg, June-July 2011, financially supported by the organizers. G.T.M. Seminar: some topics in Commutative Algebra and Algebraic Geometry Politecnico of Milano, November 2011. Geometria delle varietà algebriche Department of Mathematics G. Peano, University of Torino, March 2012. G.T.M. Seminar: some topics in Commutative Algebra and Algebraic Geometry University of Torino, June 2012. 5