Cristiano Spotti (last update: December 2015) 1 Cristiano Spotti c.spotti@dpmms.cam.ac.uk DPMMS, University of Cambridge Office E1.20 Wilberforce Road, Cambridge CB3 0WB United Kingdom Personal Information - Citizenship: Italy - Web-page: www.ihes.fr/~ spotti/ Research Interests Complex Differential Geometry Kähler metrics and related geometric PDEs (Kähler-Einstein, Extremal). Hermitian geometry. Complex Algebraic Geometry Moduli of varieties; deformations of singular spaces; geometry of moduli spaces. Degenerations of Links between canonical compactifications Riemannian manifolds of Kähler-Einstein moduli and algebraic geometry (e.g., singularities formations). Current Position [September 2014-August 2016]: Post-Doctoral Research Associate at DPMMS, University of Cambridge PI Dr. Julius Ross. Funded by EPSRC CAF Grant. Previous Position [September 2013- August 2014]: Post-Doc at DMA of École Normale Supérieure (ENS), Rue d'ulm, Paris, France. PI Prof. Olivier Biquard, in the framework of project ANR-10-BLAN 0105. [September 2012- August 2013]: Carmin Post-Doc at the Institut des Hautes Études Scientifiques (IHÉS) & Institute Henri Poincaré (IHP), Paris, France. (IHP: September-December 2012). Mathematical education [October 2008-September 2012]: PhD in Mathematics, Imperial College London Thesis: Degenerations of Kähler-Einstein Fano Manifolds Supervisor: Professor Sir Simon K. Donaldson FRS
Cristiano Spotti (last update: December 2015) 2 [October 2006-September 2008]: Laurea Specialistica (M.S. In Mathematics) 110/110 cum laude (with distinction) at Università degli Studi di Parma (Italy) [October 2003-September 2006]: Laurea Triennale (Undergraduate) 110/110 cum laude (with distinction) at Univerità degli Studi di Parma (Italy) Grants & Awards EPDI Post-Doc (FIM ETH Zürich, MPI-M Bonn) 2014-'16 (declined) Carmin Post-Doc fellowship IHES 2012-'13 Roth Studentship, Imperial College 2008-'12 EPSRC Studentship 2008-'12 Visiting Simons Center for Geometry and Physics, Stony Brook (USA) September-October 2015 International Center of Theoretical Physics (ICTP), Trieste (Italy) January 2014 University of Science and Technology of China USTC, Hefei (China) July-August 2013 International Center of Theoretical Physics (ICTP), Trieste (Italy) February 2013 Institute Henri Poincaré, Paris (France) September-December 2012 École Polytechnique, Paris (France) November 2011 Planned Activities Organization with Hendrik Suess of a mini-symposium at the 7 th European Congress of Mathematics 7ECM '16 Berlin (Germany) on Canonical metrics, K-stability and moduli spaces of Fano varieties. Participation (co-organizer with Patricio Gallardo, Jesus Martinez-Garcia, Yuji Odaka and Julius Ross) to the Research in Group Program Moduli spaces of log del Pezzo pairs and K-stability at the Hausdorff Research Institute for Mathematics (HIM), Bonn, Germany (June-July 2016). Organization (with Daniele Angella and Simone Calamai) of a 2-3 days meeting on special Hemitian metrics on complex manifolds to be held in Italy in the framework of SIR Grant Analytic aspects in complex and hypercomplex geometry (AnHyC) during the academic year 2015-'16.
Cristiano Spotti (last update: December 2015) 3 List of Publications Special Hermitian metrics with constant Chern scalar curvature, (in preparation) joint with D. Angella and S. Calamai. On csck resolutions of conically singular csck varieties, (submitted) ArXiv pre-print, joint with C. Arezzo (2015). On the Chern-Yamabe problem, joint with D. Angella and S. Calamai (2015), to appear on Math. Res. Lett. Existence and deformations of Kähler-Einstein metrics on smoothable Q-Fano varieties, joint with S. Sun and C. Yao (2014), to appear on Duke Math. J. Compact Moduli Spaces of del Pezzo Surfaces and Kähler-Einstein Metrics, joint with Y. Odaka and S. Sun (2012), to appear on J. Diff. Geom. Deformations of Nodal Kähler-Einstein Del Pezzo Surfaces with Finite Automorphism Groups, J. London Math. Soc. (2014) 89 (2): 539-558. Degenerations of Kähler-Einstein Manifolds, PhD Thesis available on ArXiv (2012). Some small unpublished new results contained (not intended for publication). Teaching Graduate course ( Canonical metrics on Kähler manifolds ) to be given during the Lent Term 2016 at the University of Cambridge. Supervisions (Linear Analysis, i.e., Functional Analysis) to be given at the University of Cambridge, during the academic year 2015-'16. Substitute lecturer for Part III Complex Manifolds lecture course in Lent 2015 at the University of Cambridge. 12 hours course: Complex curves and surfaces USTC Hefei (China), July 2013 (for a detailed content see my web-page). Teaching assistant for Maths undergraduate courses at Imperial College during PhD period. Selected Invited Talks 2016: Invited speaker at Trends in Modern Geometry, University of Tokyo (JP), 21-24 July 2016. 2015: Workshop Moduli spaces and singularities in algebraic and Riemannian geometry, Simons Center for Geometry and Physics, Stony Brook (USA), 11 September 2015 Title: CscK resolutions of conically singular varieties. Workshop on Gluing techniques in Complex Geometry, Bath (UK), 15 July 2015,
Cristiano Spotti (last update: December 2015) 4 Title: The Arezzo-Pacard-Singer blow-up theorem for gluing csck metrics, and its extensions. (6h lectures together with C. Arezzo and C. Tipler). Geometry and Analysis seminar, Oxford University (UK), 15 June 2015, Title: Hermitian metrics with constant Chern scalar curvature. Edge days 2015, Edinburgh (UK), 5 June 2015, Title: On K-moduli of Fano varieties. Complex Analysis and Geometry XXII, Levico Terme, Trento (Italy), 2 June 2015, Title: On Hermitian metrics with constant Chern scalar curvature. Recent Advanced in Kähler geometry, (Vanderbilt University), Nashville (USA) 22 May 2015, Title: Kähler-Einstein metrics on smoothable K-polystable Fano varieties. A Complex Geometry Day, Centro De Giorgi (SNS) Pisa (Italy), 15 May 2015, Title: Degenerations of Kähler-Einstein manifolds. Geometry Seminar, University of Leeds (UK), 11 March 2015, Title: Kähler-Einstein metrics on smoothable K-polystable Fano varieties. Geometria in Bicocca, Milano (Italy), 6 February 2015, Title: Kähler-Einstein metrics on smoothable K-polystable Fano varieties. 2014: Speaker at Algebraic Geometry Seminar University of Cambridge (UK), 5 November 2014. Speaker at Recenti Progressi in Geometria Reale e Complessa IX, Levico Terme, Trento (Italy), 23 October 2014. Speaker at Advanced School on PDEs in Geometry and Physics, Hefei (China), 7 July 2014. Speaker at Seminario di Geometria, Università di Firenze (Italy), 31 March 2014. 2013: Speaker at Seminario di Geometria, Università di Pisa, Novembre 2013 (Italy). Speaker at Séminaire de Géométrie Algébrique (Jussieu-ENS), Paris (France) 21 November 2013. Speaker at Summer School on Complex Geometry, Rutgers University, Piscataway NJ (USA) 16 August 2013. Speaker at Pacific Rim conference on Complex Geometry, Dalian (China), 5 August 2013. Speaker at Complex Analysis and Geometry XXI, Levico Terme, Trento (Italy), June 2013. Speaker at Extremal Kähler Metrics conference, CRM, Montreal (Canada), 28 May 2013.
Cristiano Spotti (last update: December 2015) 5 Speaker at Workshop Mack6, Toulouse (France), 30 March 2013. Speaker at ICTP Geometry Seminar, Trieste (Italy), 21 February 2013. Speaker at Séminaire de Géométrie, Nantes University (France), 1 February 2013. 2012: Speaker at Le séminaire Analyse Complexe et Géométrie, Jussieu, Paris (France), 13 November 2012. Speaker at Geometric Analysis Seminar, Imperial College, London (UK), 14 June 2012. Before 2012: Speaker at EU-Young and Mobile Workshops: Geo Analysis and PDEs, Granada (Spain), 28-30 November 2011. Speaker at Ex-students seminar, Parma (Italy), December 2010. Other conferences attended only as participant (selection): 2015: Toric Kähler geometry, Simons Center, Stony Brook (USA), 5-9 October 2015. (expected) Collapsing Calabi-Yau manifolds, Simons Center, Stony Brook (USA), 31 August - 4 September 2015. Metric and analytic aspect of Moduli Spaces, University of Cambridge (UK),27-31 July 2015. 2014: Cortona summer school: An introduction to Calabi's extremal Kähler metrics, Cortona (Italy), 21 July-1 August 2014. Algebra, Geometry and Physics: A conference in honour of Maxim Kontsevich, IHES Bures-sur-Yvette, Paris (France), 23-27 June 2014. Complex Monge-Ampère Equations on Compact Kähler Manifolds, Banff (Canada), 6-11 April 2014. 2013: Ricci Curvature limit spaces and Kähler Geometry, Edinburgh (UK), July 2013. 2012: Trimester on Conformal and Kähler Geometry IHP Paris (France), 10 September- 14 December 2012. Interactions of Birational Geometry with Other Fields, Durham (UK), 2-7 July 2012.
Cristiano Spotti (last update: December 2015) 6 ICTP-ESF School and Conference on Geometric Analysis, Trieste (Italy), 25-29 June 2012. Workshp on Kähler Geometry, University of Cambridge (UK), 10-13 April 2012. Before 2012: Geometric Analysis, Edinburgh (UK), 20-24 June 2011. Canonical metrics on Kähler manifolds, Cologne (Germany), 13-17 September 2010. Geometric Analysis Workshop, Vancouver (Canada), 20-30 July 2010. Geometry of Einstein Manifolds, Nantes (France), 20-30 July 2009. Other Mathematical Activities Co-organizer of seminars attended by PhD students and Post-Docs at Imperial College. Other Education BA of Music in Piano, 2008: Diploma in Pianoforte 10/10 at Conservatorio di Musica Arrigo Boito, Parma, Italy.