Carmelo Di Natale. Newcastle University, School of Mathematics and Statistics Herschel Building, Newcastle upon Tyne, NE1 7RU, UK 0044 (0)

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1 Newcastle University, School of Mathematics and Statistics Herschel Building, Newcastle upon Tyne, NE1 7RU, UK 0044 (0) ACADEMIC POSITIONS RESEARCH ASSOCIATE Head: Prof Peter Jørgensen September 2015 present GRANTS: Funded by EPSRC within the EPSRC Doctoral Prize Fellowship scheme RESEARCH INTERESTS: Higher and Derived Geometry, Derived Deformation Theory, Higher Category Theory, operads and homotopy algebras, deformation quantisation and Noncommutative Geometry, derived categories and Mirror Symmetry, Enumerative Geometry, Hodge Theory and Topology of Varieties, moduli of curves and abelian varieties RESEARCH ASSISTANT Head: Dr Jonathan P. Pridham April 2012 September 2013 GRANTS: Funded by EPSRC within Dr Jonathan P. Pridham's own grant EDUCATION PH.D. DEGREE IN PURE MATHEMATICS Advisor: Dr Jonathan P. Pridham September 2011 August 2015 THESIS: Grassmannians and Period Mappings in Derived Algebraic Geometry STUDENTSHIPS: Fully funded by EPSRC and DPMMS GRADUATE MEMBER OF ST JOHN'S COLLEGE September 2011 August 2015 STUDENTSHIPS: Funded research travel expenses and last-term maintenance Università di Roma La Sapienza Roma, Italy MASTER'S DEGREE IN MATHEMATICS Advisor: Prof. Marco Manetti September 2009 July 2011 THESIS: Limiti Omotopici e Discesa di Gruppoidi (Homotopy Limits and Groupoid Descent) GRADE AWARDED: 110/110 cum laude EXAM AVERAGE: 29,2/30 BACHELOR S DEGREE IN MATHEMATICS Advisor: Prof. Marco Manetti September 2006 July 2009 THESIS: Algebra Omologica e Successioni Spettrali (Homological Algebra and Spectral Sequences) GRADE AWARDED: 110/110 cum laude EXAM AVERAGE: 29,5/30 PRIZES AWARDED: Admitted to Percorsi di Eccellenza (extra courses in Mathematics for the top 15 undergraduate students) and final-year university fee exemption Université de Paris-Sud (Paris XI) Orsay, France MASTER ERASMUS STUDENT February 2011 June 2011 GRANTS: Funded by Università di Roma La Sapienza within the European Erasmus program Collegio Universitario Lamaro Pozzani Roma, Italy FULL GRANT by Federazione Nazionale dei Cavalieri del Lavoro September 2006 July 2011 CORSO DI CULTURA PER L IMPRESA CAVALIERE DEL LAVORO GAETANO MARZOTTO : Law, Economy and IT courses GRADE AWARDED: Ottimo (Honours Pass) PANORAMA PER I GIOVANI: collaboration to the magazine (contributed more than 15 articles) STUDY TRIPS: Russia (2007), Egypt (2008), Cuba (2009), Turkey (2010), China (2011) Liceo Scientifico E. Medi Barcellona Pozzo di Gotto (ME), Italy HIGH SCHOOL DIPLOMA September 2001 July 2006 GRADE AWARDED: 100/100 PRIZES AWARDED: Rotary Club (best high-school student in Barcellona Pozzo di Gotto) 1

2 STUDY TRIPS: England (2002, 2003), Malta (2002), Czech Republic (2003, 2005), Austria (2003, 2004, 2005), Slovak Republic (2004), Germany (2004), Hungary (2004), Poland (2004), Wales (2005), Ireland (2005) TEACHING EXPERIENCE JOINT ADVISOR OF GRADUATE PROJECT Head advisor: Prof Peter Jørgensen September 2015 present PROJECT TOPIC: The Ext 1 Module for Abelian Groups (MSc in Mathematics 1 student followed) INSTRUCTOR OF UNDERGRADUATE MATHEMATICAL COURSES March 2016 Cryptography (BSc in Mathematics, 3 rd year large-sized classes) SUPERVISOR OF UNDERGRADUATE MATHEMATICAL COURSES October 2011 June 2015 Algebraic Geometry (BSc in Mathematics, 3 rd year 32 students followed) Complex Analysis (BSc in Mathematics, 2 nd year 13 students followed) Linear Algebra (BSc in Mathematics, 2 nd year 92 students followed) Geometry (BSc in Mathematics, 2 nd year 15 students followed) Groups, Rings and Modules (BSc in Mathematics, 2 nd year 27 students followed) Riemann Surfaces (BSc in Mathematics, 3 rd year 9 students followed) INSTRUCTOR OF GRADUATE MATHEMATICAL COURSES January 2015 April 2015 Homological and Homotopical Algebra (MSc in Mathematics medium-sized classes) GROUP LEADER OF GRADUATE SEMINARS February 2012 March 2014 Algebra (MSc in Mathematics, 3 students followed) Algebraic Geometry (MSc in Mathematics, 6 students followed) Algebraic Number Theory (MSc in Mathematics, 1 student followed) Algebraic Topology (MSc in Mathematics, 1 student followed) Category Theory (MSc in Mathematics, 2 students followed) MARKER OF STEP PAPERS undergraduate admission tests in Mathematics July 2012 July 2013 Paper I (Pure Mathematics 2012, 2013) Paper II (Pure Mathematics 2013) Paper III (Pure Mathematics 2012, 2013) Collegio Universitario Lamaro Pozzani Roma, Italy SELECTOR AT UNDERGRADUATE ADMISSION EXAMINATIONS TO CULP August 2011 August 2014 Written-test invigilator (August 2011, 2012, 2013, 2014) Mathematics and Physics written-questions setter (August 2011, 2012, 2013, 2014) Mathematics and Physics written-questions marker (August 2011, 2013, 2014) First-interview examiner (August 2011, 2012, 2013) Debate chairperson assistant Head chairperson: Prof. Alberto Urbani (August 2011) Final-interview assistant examiner Head examiner: Prof. Stefano Semplici (August 2013, 2014) Freelance Individual Tuition Barcellona Pozzo di Gotto (ME) and Roma, Italy TUTOR IN MATHEMATICS AND PHYSICS high-school to undergraduate level January 2007 present HIGH-SCHOOL TEACHING: Mathematics, Further Mathematics, Physics UNDERGRADUATE TEACHING: General Mathematics (for Economics and Natural Sciences), Algebra and Geometry (for Engineering), Calculus and Analysis (for Engineering) RESEARCH PAPERS Work in Progress C. Di Natale, J. V. S. Holstein A Global Derived Analytic Period Map Publications C. Di Natale Derived Moduli of Complexes and Derived Grassmannians arxiv: , to appear in Applied Categorical Structures 2

3 Preprints (Submitted to Journals) C. Di Natale, E. Fatighenti, D. Fiorenza Hodge Theory and Deformations of Affine Cones of Subcanonical Projective Varieties arxiv: , submitted to Journal of the London Mathematical Society C. Di Natale A Period Map for Global Derived Stacks arxiv: , submitted to Algebra and Number Theory Surveys C. Di Natale An Overview of Derived Deformation Theory Extended version of talk at GAeL 2013, available at INVITED TALKS AND POSTERS Univerità di Catania Catania, Italy GIORNATE DI GEOMETRIA ALGEBRICA ED ARGOMENTI CORRELATI: Teoria di Hodge e deformazioni di coni affini su varietà proiettive subcanoniche (in English: Hodge Theory and Deformations of Affine Cones of Subcanonical Projective Varieties) May 2016 University of Leicester Leicester, UK TTT SEMINAR: Hodge Theory and Deformations of Affine Cones of Subcanonical Projective Varieties March 2016 READING SEMINAR ON POISSON STRUCTURES: Deformations of Hopf Algebras March 2016 READING SEMINAR ON POISSON STRUCTURES: Deformations of Associative Algebras February 2016 ALGEBRA AND GEOMETRY SEMINAR: An Introduction to Derived Algebraic Geometry December 2015 University of Liverpool Liverpool, UK GLEN SEMINAR: Grassmannians and Period Mappings in Derived Algebraic Geometry June 2015 University of Warwick Coventry, UK VBAC 2015: Grassmannians in Derived Algebraic Geometry June 2015 BRAG: A Period Map for Derived Stacks (poster) September 2014 Lancaster University Lancaster, UK HOMOTOPICAL ALGEBRA AND GEOMETRY: Grassmannians in Derived Algebraic Geometry April 2015 GEOMETRY TEA SEMINAR: Grassmannians and Period Mappings in Derived Algebraic Geometry January 2015 GEOMETRY TEA SEMINAR: DGLAs in Deformation Theory November 2013 GEOMETRY TEA SEMINAR: A Gentle Introduction to Algebraic Stacks March 2012 GEOMETRY TEA SEMINAR: Motivations for Studying (Derived) Stacks February 2012 Università di Genova Genova, Italy XMAS WORKSHOP 2014 ON MODULI SPACES AND INTEGRABLE SYSTEMS: Grassmannians and Period Mappings in Derived Algebraic Geometry December 2014 SEMINARIO DI GEOMETRIA: A Period Map for Derived Stacks March 2014 WORKSHOP IN DEFORMATION THEORY: DGLAs in Deformation Theory December 2013 Imperial College London London, UK JUNIOR GEOMETRY SEMINAR: DGLAs in Deformation Theory June 2014 University of Oxford Oxford, UK CALF SEMINAR: A Period Map for Derived Stacks February

4 Università di Padova Padova, Italy HIGHER STRUCTURES IN ALGEBRAIC ANALYSIS: A Period Map for Derived Stacks February 2013 KTH and Stockholms Universitet Stockholm, Sweden GAEL: An Overview of Derived Deformation Theory June 2013 CONFERENCES ATTENDED Hausdorff Centre for Mathematics Bonn, Germany DERIVED CATEGORIES: DIMENSIONS, STABILITY CONDITIONS AND ENHANCEMENTS (school) March-April 2016 Imperial College London London, UK WORKSHOP ON INTERACTIONS BETWEEN ARITHMETIC AND HOMOTOPY (workshop) September 2015 WORKSHOP ON ARITHMETIC GEOMETRY AND HOMOTOPY THEORY (workshop) May-June 2012 University of Warwick Coventry, UK DERIVED CATEGORIES, WEYL ALGEBRAS AND HODGE THEORY (school) March 2015 DG-ENHANCEMENTS AND HIGHER CATEGORY METHODS: (workshop) December 2014 Centre de Mathématiques Henri Lebesgue Nantes, France DERIVED CATEGORIES (school) June 2014 University of Edinburgh Edinburgh, UK DERIVED CATEGORIES, MOTIVES AND ZETA FUNCTIONS (workshop) June 2014 King's College London London, UK MOST (workshop) June 2014 Universität Hamburg Hamburg, Germany MODULI SPACES IN ALGEBRAIC GEOMETRY AND PHYSICS (school) August 2013 Isaac Newton Institute for Mathematical Sciences Cambridge, UK HIGHER STRUCTURE 2013: OPERADS AND DEFORMATION THEORY (workshop) April 2013 OPERADS (school) January 2013 Centre International de Rencontres Mathématiques Marseille, France CATS 4 (workshop) July 2012 Sophus Lie Konferansesenter Nordfjordeid, Norway GEOMETRY OF MODULI (school) June 2012 Centro di Ricerca Matematica Ennio De Giorgi Pisa, Italy GIORNATE DI GEOMETRIA ALGEBRICA ED ARGOMENTI CORRELATI XI (workshop) May 2012 Università di Roma La Sapienza Roma, Italy WORKSHOP IN DEFORMATION THEORY II (workshop) August-September 2010 LANGUAGE SKILLS Italian Native Speaker English Fluent (very good understanding, writing and speaking) GRE GENERAL TEST November 2010 VERBAL SCORE: 420 QUANTITATIVE SCORE: 730 ANALYTICAL WRITING SCORE: 3.0 4

5 GRE SUBJECT TEST Mathematics November 2010 SCORE: 570 ACADEMIC IELTS November 2010 LISTENING RESULT: 6.0 READING RESULT: 7.5 WRITING RESULT: 6.0 SPEAKING RESULT: 6.0 OVERALL BAND SCORE: 6.5 BEC HIGHER October 2010 GRADE AWARDED: C ENGLISH EXAM Università di Roma La Sapienza July 2007 GRADE AWARDED: 30/30 French Upper-Intermediate (good understanding, writing and speaking) FRENCH EXAM Università di Roma La Sapienza July 2008 GRADE AWARDED: 28/30 COMPUTING SKILLS Operating Systems Ms Windows Linux (Scientific Ubuntu, Kubuntu, Fedora, Debian) Word Processing Ms Office and similar OpenOffice and similar Latex Programming C, C++ Mathematical Software Mathematica CoCoA OTHER INTERESTS Community of Sant'Egidio Lay Christian Community and International NGO MEMBER OF THE COMMUNITY OF SANT'EGIDIO December 2005 present Common prayer and biblical exegesis Solidarity to the poor and the weak (especially homeless and elderly) Promoting peace, ecumenism and dialogue Supervisor of food runs (main service to homeless people) of the London branch (Community of Sant'Egidio UK Charitable Trust) 5

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