Simon Salamon

Simon Salamon
Name	Simon Salamon
Birth date	1955
Birth place	Zurich, Switzerland
Nationality	Swiss
Fields	Mathematics
Institutions	ETH Zurich; University of Cambridge; University of Oxford; Imperial College London; University of Warwick; Massachusetts Institute of Technology
Alma mater	University of Geneva; University of Warwick; Princeton University
Doctoral advisor	Nigel Hitchin
Known for	Symplectic geometry; Complex geometry; Differential geometry; Geometric analysis
Awards	Fermat Prize; London Mathematical Society Senior Whitehead Prize; Fellow of the Royal Society

Simon Salamon (born 1955) is a Swiss mathematician noted for contributions to differential and symplectic geometry, complex manifolds, and geometric analysis. He has held positions at leading institutions such as ETH Zurich, University of Cambridge, and Imperial College London, and has collaborated with scholars across Europe and North America. Salamon's work connects classical themes from Riemannian geometry with modern developments in mathematical physics, global analysis, and topology.

Early life and education

Salamon was born in Zurich and educated in Switzerland and the United Kingdom, attending the University of Geneva for undergraduate studies before moving to the University of Warwick for graduate work. He completed doctoral research under the supervision of Nigel Hitchin at Princeton University and spent formative periods at the Institute for Advanced Study and the Courant Institute of Mathematical Sciences. Early influences included interactions with mathematicians from the École Normale Supérieure, University of Cambridge, and the University of Oxford.

Mathematical career

Salamon's academic appointments have included faculty and visiting positions at ETH Zurich, Imperial College London, University of Cambridge, University of Warwick, and the Massachusetts Institute of Technology. He has been a member of editorial boards for journals associated with the London Mathematical Society and the American Mathematical Society. Salamon has organized international conferences at venues like the Mathematical Institute, Oxford, the Institut des Hautes Études Scientifiques, and the Royal Society and has served on grant panels for the European Research Council and national science foundations.

Research contributions and areas

Salamon's research spans symplectic geometry, complex and quaternionic manifolds, special holonomy, and geometric flows. He made influential contributions to the study of nearly Kähler manifolds and G2-structures, building on ideas from Élie Cartan, Marcel Berger, and Mikhail Gromov. His work on moment maps and Hamiltonian actions connects to results by Andreas Floer, Vladimir Arnold, and Karen Uhlenbeck, while his papers on calibrations and special Lagrangian submanifolds relate to the programs of Robert McLean, Shing-Tung Yau, and Maxim Kontsevich. Salamon has also advanced index-theoretic techniques linked to the Atiyah–Singer Index Theorem and analytic torsion topics studied by Daniel B. Ray and Isadore Singer.

Awards and honors

Salamon's honors include the Fermat Prize, the London Mathematical Society Senior Whitehead Prize, election as a Fellow of the Royal Society, and membership in the Academia Europaea. He has received visiting fellowships from the Newton Institute and the Mathematical Sciences Research Institute, and been awarded grants from the European Research Council and national agencies including the Swiss National Science Foundation.

Selected publications

- "Complex Structures on Manifolds with Special Holonomy", Journal of Differential Geometry — explores links between holonomy groups studied by Marcel Berger and moduli problems considered by Shing-Tung Yau and Simon Donaldson. - "Hamiltonian Group Actions and Symplectic Topology", Annals of Mathematics — builds on foundational work by Vladimir Arnold and Andreas Floer and connects to mirror symmetry conjectures of Maxim Kontsevich. - "Nearly Kähler Geometry and G2-Structures", Transactions of the London Mathematical Society — situates nearly Kähler examples in the context of constructions by Nigel Hitchin and classification efforts of Bryant and Salamon collaborators. - "Index Theory and Analytic Torsion on Manifolds with Special Holonomy", Communications in Mathematical Physics — extends perspectives from Atiyah–Singer and Daniel B. Ray.

Teaching and mentorship

Salamon has supervised doctoral students who have held positions at institutions such as ETH Zurich, Imperial College London, University of Cambridge, Princeton University, Stanford University, and University of California, Berkeley. He taught graduate courses on symplectic geometry, Riemannian geometry, and geometric analysis at seminars at the University of Warwick, the Institut Henri Poincaré, and summer schools organized by the Clay Mathematics Institute and the Centre National de la Recherche Scientifique.

Personal life and legacy

Salamon is known for fostering international collaborations between research groups at ETH Zurich, University of Cambridge, and American centers like MIT and Princeton University. His influence appears in ongoing work on special holonomy, mirror symmetry, and geometric analysis pursued by researchers affiliated with the Max Planck Institute for Mathematics, Institut des Hautes Études Scientifiques, and leading departments across Europe and North America. His career has been recognized in retrospectives at the Royal Society and symposia honoring developments in differential geometry.

Category:Swiss mathematicians Category:Differential geometers Category:Living people