Simon Salamon, MA DPhil

Professor of geometry, Politecnico di Torino
Emeritus fellow, Trinity College, Oxford
Honorary professor, Imperial College, London

1979 - 81 University of Maryland
1981 - 83 SNS Pisa
1983 - 84 IAS Princeton
1984 - 00 University of Oxford
2003 - 04 Imperial College
2000 - Politecnico di Torino

Upcoming activity

Extremal metrics: evolution equations and stability, Luminy 2011
Université Henri Poincaré, Nancy, Colloquium, 14 Dec 2010
Insitut de Mathématiques de Jussieu, Seminar, 30 Nov 2010
IHES, visiting October-December 2010

Selected publications

Twistor geometry and warped product orthogonal complex structures (with L Borisov, J Viaclovsky), Duke Math J, to appear
Orthogonal complex structures on domains of R⁴ (with J Viaclovsky), Math Ann 343, 2009
Generalized Killing spinors in dimension 5 (with D Conti), Trans Amer Math Soc 359, 2007
Modern Differential Geometry of Curves and Surfaces with Mathematica (A Gray, edited with E Abbena), CRC Press, 2006
Deformation of 2-step nilmanifolds with abelian complex structures (with C McLaughlin, H Pedersen, Y S Poon), J LMS 73, 2006
Complex product structures on Lie algebras (with A Andrada), Forum Math 17, 2005
Families of strong KT structures in six dimensions (with A Fino, M Parton), Comment Math Helv 79, 2004
Kähler reduction of metrics with holonomy G2 (with V Apostolov), Comm Math Phys 246, 2004
Almost Hermitian geometry on six-dimensional nilmanifolds (with E Abbena, S Garbiero), Ann Sc Norm Sup Pisa 30, 2001
Complex structures on nilpotent Lie algebras, J Pure Appl Algebra 157, 2001
Geometria Differenziale, Enciclopedia del Novecento, Volume X, Suppl II, Treccani, 1998
Intersection numbers on moduli spaces and symmetries of a Verlinde formula (with R Herrera), Comm Math Phys 188, 1997
Betti numbers of 3-Sasakian manifolds (with K Galicki), Geom Dedicata, 63, 1996
On the cohomology of Kähler and hyper-Kähler manifolds, Topology 35, 1996
Strong rigidity of positive quaternion-Kähler manifolds (with C R LeBrun) Invent math 118, 1994
Quaternionic Kähler 8-manifolds with positive scalar curvature (with Y S Poon), J Differ Geom 33, 1991
On the construction of some complete metrics with exceptional holonomy (with R L Bryant), Duke Math J 58, 1989
Riemannian Geometry and Holonomy Groups, Pitman Research Notes in Mathematics 201, Longman, 1989
Yang-Mills fields on quaternionic spaces (with M Mamone Capria), Nonlinearity 1, 1988
Tournaments, flags and harmonic maps (with F E Burstall), Math Ann 277, 1987
Differential geometry of quaternionic manifolds, Ann Sci École Norm Sup 19, 1986
Twistorial construction of harmonic maps of surfaces into four-manifolds (with J Eells), Ann Sc Norm Sup Pisa 12, 1985
Harmonic 4-spaces, Math Ann 269, 1984
Quaternionic Kähler manifolds, Invent math 67, 1982

Journal editing

Rendiconti del Seminario Matematico di Torino, director 2009-
Journal of Geometry and Physics, 2000-
Annali di Matematica Pura ed Applicata, 1999-
Proceedings of the London Mathematical Society, co-editor 1998-01
Differential Geometry and its Applications, 1991-99
Rendiconti of the University of Trieste, 1997-08
Annals of Global Analysis and Geometry, 1993-
Quarterly Journal of Mathematics, 1991-

PhD students

Andrew Swann, Marco Mamone-Capria, Piotr Kobak, Fiammetta Battaglia,
Ramon Reyes-Carrion, Rafael Herrera, Anna Fino, John Armstrong,
Simon Chiossi, Diego Giovannini, Diego Conti, Andrea Gambioli,
Giorgi Mihaylov, Massimiliano Povero

Recent conferences

Mathematica Italia UGM, Milan 2010
Advances in string theory, wall crossing, and quaternion-Kähler geometry, Paris 2010
Conférence de la Société Européenne pour les Mathématiques et les Arts, Paris 2010
Symmetric spaces and their generalisations, Levico 2010
Kähler and related geometry, Nantes 2009
Variational problems in differential geometry, Leeds 2009
Mathematica Italia UGM, Rome 2008
Global analysis on manifolds, Rome 2008
Kähler and Sasakian Geometry, Rome 2008 (coörganizer)
Extremal Kähler metrics and Kähler-Ricci flow, Pisa 2008 (coörganizer)
Variétés d'Einstein aujourd'hui et demain, Marseilles 2007
XVIII Italian Mathematical Society Congress, Bari 2007

Research administration in Italy

CIRM, Trento, governing body, 2010-
GNSAGA, governing body, 2009-
Riemannian metrics and Differentiable Manifolds, PRIN 2007, national coordinator
Differential geometry and global analysis, PRIN 2005, national coordinator

updated 05/11/10