Silvia De Toffoli. Curriculum Vitae. Current position: Ph.D. student in philosophy at Stanford University. Supervisor: Thomas Ryckman.

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1 Silvia De Toffoli Curriculum Vitae Last Updated: 22 marzo Tel.: Date of Birth: August 2, 1984 Place of Birth: Venice Citizenship: Italian Maritial Status: Single Address: 165 Duboce Ave, Apt San Francisco, USA Current position: Ph.D. student in philosophy at Stanford University. Supervisor: Thomas Ryckman. I obtained a Ph.D. in mathematics with distinction on June 4, 2013 at the Technical University of Berlin under the supervision of John M. Sullivan. Afterwards I have been a research scholar at Montana State University. Since September 2014 I am doing a second Ph.D. in philosophy at Stanford. Interests: philosophy of mathematics, diagrammatic reasoning, visualization, knot theory, low-dimensional topology, algebraic topology. Education Doktorarbeit in mathematics (Ph.D.) Member of the graduate program: Berlin Mathematical School. Technische Universität Berlin, Germany. Date: 04/06/2013. Final mark: magna cum laude. Certificate of Distinction from Berlin Mathematical School. Thesis in knot theory: Degrees of essentiality for secants of knots. Advisor: John M. Sullivan, Technische Universität Berlin. Laurea specialistica in mathematics (Master) University of Bologna, Italy. Date: 20/03/

2 Mark s mean: 29.7/30. Final mark: 110/110 summa cum laude. Thesis in topology: Different flavors of the Poincaré homology sphere. Advisors: Luca Migliorini, University of Bologna and Patrick Popescu-Pampu, University of Paris 7. Laurea triennale in mathematics (Bachelor) University of Bologna, Italy. Date: 15/12/2006. Mark s mean: 29.9/30. Final mark: 110/110 summa cum laude. Thesis in algebraic topology: Il gruppo fondamentale di uno spazio di orbite (The fundamental group of an orbit space). Advisor: Mirella Manaresi, University of Bologna. International Experiences Technische Universität Berlin, Germany (4 years) Academic years: Graduate studies in mathematics. Project and scholarship: Ph.D. in mathematics, Berlin Mathematical School. Université Paris7-Denis Diderot, France (1 year) Academic year: Master studies in mathematics. Project and scholarship: Erasmus. Studies of algebra, algebraic topology, spectral analysis, set theory and calculability. University of Calgary, Canada (1 year) Academic year: Undergraduate studies in mathematics. Project and scholarship: TASSEP (Transatlantic Science Student Exchange Program). Studies of algebra, geometry, calculus, probabilities and history of sciences. Publications Envisioning Transformations The Practice of Topology (with V. Giardino). To be published in a collection of papers edited by B. Larvor based on three conferences on Mathematical Cultures. To appear under the Birkhäuser Science imprimatur of the Springer group. Forthcoming. An inquiry into the practice of proving in low-dimensional topology (with V. Giardino), in: From Logic to Practice. Eds: G. Lolli, M. Panza, G. Venturi. Boston Studies in the Philosophy and History of Science, Volume 308, pp , Forms and roles of diagrams in knot theory (with V. Giardino), Erkenntnis, Volume 79, pp ,

3 Degrees of Essentiality for Secants of Knots, Ph.D. Thesis, Universitätsbibliothek der Technischen Universität Berlin, Einführung in Meta-Vermeer: Experimentelle Studien über originale und manipulierte Bilder (with Y. Sakamoto), Das Licht im Zeitalter von Rembrandt und Vermeer, Ein Handbuch der Forschumgruppe Historische Lichtgefüge, pp , Jovis, Meta-Vermeer: A Topological Reinterpretation of a Masterpiece (with Y. Sakamoto). Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture, pp Work in Progress Diagrams in Homological Algebra. Diagrams - From Topology to Algebra (with Valeria Giardino). Degrees of Essentiality for Secants of Knots (with John M. Sullivan). 3-manifolds via Archimedean Solids (with Agnese Telloni). Talks Diagram Chase Techniques The Use of Space in Algebraic Reasoning, Proofs and Pictures Conference, University of South Carolina, Columbia, 20 March What is a Rational Tangle?, What is? Seminar, Berlin Mathematical School, 8 February La dinamica dei diagrammi in teoria dei nodi (with V. Giardino), Filosofia della matematica: dalla logica alla pratica, SNS Pisa, September Roles and Forms of Diagrams in Knot Theory (with V. Giardino), SIFA International Conference, Alghero, September Low-dimensional topology as visual mathematics (with V. Giardino), Mathematical Cultures Conference 1, London, September Die epistemische Rollen von Diagrammen in der Topologie, Kolloquium von Sybille Krämer, Berlin, 19 June Diagrammes et Illustrations en Topologie: Le Cas des Nœuds (with V. Giardino), SOPHA International Conference, ENS, Paris, 5 May

4 Knot Moves: A Case Study on Diagram Dynamics, Work in Progress Seminar, Munich Center of Mathematical Philosophy, 19 January Use and Epistemic Roles of Diagrams in Knot Theory, Philosophy Seminar, Departamento de Filosofía, Lógica y Filosofía de la Ciencia, Universidad de Sevilla, 15 November What is a Seifert Surface?, What is? Seminar, Berlin Mathematical School, 4 December Teaching Algebraic Topology, graduate class MA512, SS , MSU Bozeman. Topology, exercise session of a master course in algebraic topology, WS , BMS course, TU Berlin. Others [Poster] Sakamoto, Y., De Toffoli, S.: Beauty of the structure of light: a computer scientific simulation of The Girl with the Wine Glass In: Beauty and Value, Meeting in Neuroesthetics organized by Semir Zeki and Ray Dolan, October [Installation Art] Sakamoto, Y., and De Toffoli, S.: Meta-Vermeer. In Exhibition: Lictgefüge - Das Licht im Zeitalter von Rembrandt und Vermeer [The Structure of Light - Light in the time of Rembrant and Vermeer] at the Alte Gemäldegalerie Alte Meister in Schloss Wilhelmshöhe, Kassel (Germany), from the 18th November 2011 to the 4th March [Popularization of mathematics book] Margot De Rosa (pseudonym for Silvia De Toffoli), Dario De Toffoli, Dario Zaccariotto [book, pp. 246]: Numeri. Divagazioni, calcoli, giochi. Stampa Alternativa, Viterbo, (Prefazioni di Stefano Bartezzaghi). Grants, Awards and Positions : Ph.D. scholarship from Stanford University : Research and Teaching Position at MSU Bozeman. 2013: Certificate of Distinction from the Berlin Mathematical School for the Ph.D. thesis Degrees of essentiality for secants of knots. 4

5 : Wissenschaflicher Mitarbeiter (Research Fellow) of the research group Discretization in Geometry and Dynamics at the TU Berlin : Doctoral Fellowship from the Berlin Mathematical School at the TU Berlin. 2009: Fellowship from the Berlin Mathematical School, Phase I Student : Erasmus scholarship from the University of Bologna : Grant for academic achievements from University of Bologna ( Incentivi studenti terzo anno, per merito ) : TASSEP (Transatlantic Science Student Exchange Program) exchange support grant. Associations: Member of the Association for the Philosophy of Mathematical Practice (APMP). Member of the Italian Network for the Philosophy of Mathematics (FilMat). Member of the Italian Society of Analytic Philosophy (SIFA). Member of the Francophone Society for Analytic Philosophy (SOPHA). Language Skills Italian: mother tongue English: excellent (TOEFL 113/120, date: 19/10/13) French: excellent (C1 certificate of the CEFR) German: fluent (C1 certificate of the CEFR) Spanish: beginner 5

6 References Günter Abel Technical University of Berlin Marcus Giaquinto University College London (UCL) Dagfinn Føllesdall Stanford University Øystein Linnebo Birkbeck College London Kenneth Manders University of Pittsburgh Luca Migliorini Professor of Geometry University of Bologna Patrick Popescu-Pampu Professor of Geometry University of Lille John M. Sullivan Professor of Geometry Technical University of Berlin 6