RUADHAÍ DERVAN address: Address: Gonville & Caius College, Cambridge

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1 RUADHAÍ DERVAN address: Address: Gonville & Caius College, Cambridge POSITIONS École Polytechnique, Paris September August 2018 Postdoctoral position, hosted by Sébastien Boucksom. University of Cambridge, Gonville & Caius College October September 2021 Research Fellowship. Université libre de Bruxelles February - August 2016 Visiting PhD student, hosted by Joel Fine. Fondation Wiener-Anspach Scholar. EDUCATION PhD in Mathematics, University of Cambridge St. John's College Thesis title Canonical Kähler metrics and K-stability. Supervised by Julius Ross. Part III of the Mathematical Tripos (MASt), University of Cambridge St. John's College Graduated with distinction. B.A.(Mod) Mathematics, Trinity College Dublin First class honours. Graduated top of year. PUBLICATIONS AND PREPRINTS The Kähler-Ricci flow and optimal degenerations (with G. Székelyhidi) Relative K-stability for Kähler manifolds K-stability for Kähler manifolds (with J. Ross) A finite dimensional approach to Donaldson's J-flow (with J. Keller) On K-stability of finite covers arxiv: arxiv: Math. Res. Lett. (to appear) arxiv: Bull. London Math. Soc. (2016) 48 (4) pp Non-reductive automorphism groups, the Loewy filtration and K-stability (with G. Codogni) Annales de l'institut Fourier 66 no. 5 (2016) pp Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds Ann. Fac. Sci. Toulouse Sér. 6, 25 no. 4 (2016), p Uniform stability of twisted constant scalar curvature Kähler metrics Int. Math. Res. Notices (2016) Vol 15 pp Alpha invariants and K-stability for general polarizations of Fano varieties Int. Math. Res. Notices (2015) Vol 16 pp GRANTS INdAM Grant 2016 Awarded to fund the workshop Moduli of K-stable varieties, with G. Codogni, J. Stoppa and F. Viviani. London Mathematical Society ECM Grant 2016 Awarded to fund personal costs of the European Congress of Mathematics 2016 in Berlin.

2 London Mathematical Society Scheme 8 Grant, Foundation Compositio Grant 2015 Awarded to fund Postgraduate Conference in Complex Geometry at the University of Cambridge, with J. Ross. ACADEMIC VISITS University of Notre Dame September 2016 Visiited Gábor Székelyhidi for three weeks. Simons Center for Geometry and Physics, Stony Brook University September - October 2015 Participating in the program Moduli spaces and singularities in algebraic and Riemannian geometry for four weeks. SEMINAR AND CONFERENCE TALKS Constant Scalar Curvature Metrics in Kähler and Sasaki Geometry, CIRM Marseille (upcoming) January 2018 Current Developments and New Directions in Kähler Geometry, University of Notre Dame (upcoming) June 2017 Positivity in Algebraic and Complex Geometry, ICMS Edinburgh (upcoming) University of Edinburgh (upcoming) Newcastle University Imperial College London University of Notre Dame European Congress of Mathematics Berlin, Symposium Talk Recent Advances in Complex Differential Geometry, Toulouse Institut de Mathématiques de Toulouse Università degli Studi di Pavia April 2017 February 2017 December 2016 November 2016 September 2016 July 2016 June 2016 May 2016 November 2015 Joint John Hopkins University and University of Maryland Complex Geometry Seminar October 2015 Simons Center for Geometry and Physics, Stony Brook University Edge Days, University of Edinburgh Imperial College Junior Geometry Seminar Università degli Studi Roma Tre Université libre de Bruxelles Junior Geometry Seminar Université Pierre-et-Marie-Curie (Paris VI Jussieu) September 2015 June 2015 April 2015 March 2015 February 2015 February 2015

3 Università degli Studi di Pavia Imperial College Junior Geometry Seminar Irish Workshop on Kähler Geometry and Geometric Analysis, University College Cork Calf Junior Algebraic Geometry Seminar, University of Bath Aix-Marseille Université Edge Days, University of Edinburgh November 2014 June 2014 May 2014 June 2013 AWARDS Smith-Knight & Rayleigh-Knight Prize 2014 Awarded for an essay based on research completed in the first year and a half of PhD work. St John's College Scholarship and College Prize 2012 In recognition of high achievement in MASt in mathematics. Bishop Law Prize and Gold Medal 2011 Awarded for finishing first in the mathematics degree with high final mark. Minchin Prize, Lloyd Exhibition and Hamilton Prize 2010 Awarded for finishing first in the third year examinations of the mathematics and theoretical physics degrees. Foundation Scholarship 2009 Awarded on the basis of scholarship exams taken in second year. Approximately fifteen are awarded across all disciplines to second year students each year. ACTIVITIES Moduli of K-stable varieties, workshop organiser Postgraduate Conference in Complex Geometry, conference organiser Calf Junior Algebraic Geometry Seminar local organiser Geometry Tea Junior Seminar organiser Departmental Happy Hour co-organiser Part III Seminars in Algebraic Geometry chair Research Groups in Cambridge, Algebraic Geometry organiser Research Groups in the UK, Geometry and Analysis chair July 2017 September 2016 October January 2016 October October 2014 June September 2014 November 2012, 2013 TEACHING DPMMS, University of Cambridge Michaelmas term 2016 Supervisor Supervised Part II Differential Geometry.

4 DPMMS, University of Cambridge Lent term 2014, 2015 Examples Class Lecturer Presented assignment solutions and explanations to Part III Complex Manifolds students. Linyi University, China July 2012 Summer Lecturer Lectured an introductory 12 hour course on partial differential equations to final year mathematics undergraduates. School of Mathematics, Trinity College Dublin August 2010, 2011 Revision lecturer Lectured 6 hour revision courses for 2nd year mathematics and theoretical physics students in Complex Analysis (2010) and Equations of Mathematical Physics (2010, 2011). School of Mathematics, Trinity College Dublin March May 2011 Maths Helproom Tutor Helped mathematics, science and economics university students with mathematics. Also helped adults returning to education with basic mathematics. MEMBERSHIP London Mathematical Society present CONFERENCES ATTENDED Constant Scalar Curvature Metrics in Kähler and Sasaki Geometry (upcoming) CIRM Marseille, January Current Developments and New Directions in Kähler Geometry (upcoming) University of Notre Dame, June Positivity in Algebraic Geometry (upcoming) ICMS Edinburgh, April Stability and moduli spaces (upcoming) American Institute of Mathematics San Jose, January Algebraic Geometry: Old and New Hitchin 70 European Congress of Mathematics Berlin University of Oxford, September University of Oxford, September Berlin, July Recent Advances in Complex Differential Geometry Institut de Mathématiques de Toulouse, June British Algebraic Geometry meeting Postgraduate Conference in Complex Geometry Cones and Positivity ICMS Edinburgh, April University of Cambridge, September Loughborough University, August Summer Research Institute on Algebraic Geometry University of Utah, Salt Lake City, July Edge Days British Algebraic Geometry meeting University of Edinburgh, 5-7 June 2015 University of Warwick, September 22-24, 2014 Asymptotic Aspects of Complex and Algebraic Geometry Università di Milano Bicocca, June 2014

5 Edge Days University of Edinburgh, 6-8 June 2014 Irish Workshop on Kähler Geometry and Geometric Analysis University College Cork, May 2014 Minicourses on Stability Traumatic Workshop University of Coimbra, April 2014 Imperial College, 3-4 April 2014 William Rowan Hamilton Geometry and Topology Workshop Trinity College Dublin, August 2013 Ricci curvature: limit spaces and Kähler geometry Edge Days Compactifying Moduli Spaces ICMS, Edinburgh, 1-5 July 2013 University of Edinburgh, 7-9 June 2013 CRM Barcelona, May 2013