Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics.

These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.

These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.

1: Christian Bar (Potsdam University) Sebastian Hannes (Potsdam University): Boundary value problems for the Lorentzian Dirac operator 2: Fedor Bogomolov (Courant Institute of Mathematical Sciences, NYU), Hang Fu (Courant Institute of Mathematical Sciences, NYU), Yuri Tschinkel (Courant Institute of Mathematical Sciences, NYU): Torsion of elliptic curves and unlikely intersections 3: Leonid Chekhov (Steklov Mathematical Institute of Russian Academy of Sciences and Laboratoire Poncelet), Marta Mazzocco (Loughborough University), Vladimir Rubtsov (University of Angers and ITEP, Moscow): Algebras of quantum monodromy data and character varieties 4: Tristan Collins (Harvard University), Dan Xie (Harvard University), Shing-Tung Yau (Harvard University): The deformed Hermitian Yang-Mills equation in geometry and physics 5: Diego Conti (Universita di Milano), Thomas Bruun Madsen (Aarhus University), Simon Salamon (King's College London): Quaternionic geometry in dimension 8 6: Simon Donaldson (Imperial and Simons Center, Stony Brook): Boundary value problems in dimensions seven, four and three related to exceptional holonomy. 7: Jorgen Ellegaard Andersen (Aarhus University), Kenneth Rasmussen (Aarhus University): A Hitchin connection for a large class of families of Kahler structures 8: Paul Gauduchon (Ecole Polytechnique): The Taub-NUT ambitoric structure 9: Tamas Hausel (Institute of Science and Technology Austria), Anton Mellit (Institute of Science and Technology Austria), Du Pei (Aarhus University and Caltech): Mirror symmetry with branes by equivariant Verlinde formulae 10: Sergei Merkulov (University of Luxembourg), Thomas Willwacher (ETH Zurich): Deformation theory of Lie bialgebra properads 11: Mykola Dedushenko (Caltech), Sergei Gukov (Caltech), Pavel Putrov (Institute for Advanced Study, Princeton): Vertex algebras and 4-manifold invariants 12: Lisa Jeffrey (University of Toronto), James Mracek (University of Toronto): Hyperfunctions, the Duistermaat-Heckman theorem and loop groups 13: Jorg Teschner (University of Hamburg): Quantisation of the quantum Hitchin system and the real geometric Langlands correspondence

Jorgen Ellegaard Andersen obtained a DPhil in Mathematics from University of Oxford in 1992 and held assistant professor positions at University of California Berkeley and Aarhus University as well as general memberships at MSRI before obtaining a tenured position at Aarhus University in 1997. After being Clay Professor at University of California Berkeley, he became Professor of Mathematics at Aarhus University and he currently holds a Distinguished Visiting Professorship at California Institute of Technology. He is also Director of the Danish National Research Foundation Center of Excellence, Center for Quantum Geometry of Moduli Spaces (QGM) at Aarhus University. Andrew Dancer took the degrees of BA and DPhil at Oxford University, and held postdoctoral fellowships at Cambridge, the Max-Planck-Institut, and IHES, before becoming a faculty member at McMaster University in Canada. He is now Professor of Mathematics at Oxford University and a Fellow of Jesus College. Oscar Garcia-Prada is a CSIC Research Professor at Instituto de Ciencias Matematicas ICMAT, Madrid. He obtained a D.Phil. in Mathematics at the University of Oxford in 1991, and had postdoctoral appointments at Institut des Hautes Etudes Scientific (Paris), University of California at Berkeley, and University of Paris-Sud, before holding positions at University Autonoma of Madrid and Ecole Polytechnique (Paris). In 2002 he joined the Spanish National Research Council (CSIC).