Kelli Francis-Staite read for her DPhil at the University of Oxford as a Rhodes Scholar. Her thesis developed the theory of C∞-algebraic geometry with corners. She is currently an Adjunct Senior Lecturer at the University of Adelaide. Dominic Joyce is Professor of Mathematics at Oxford University and a Senior Research Fellow at Lincoln College Oxford. He is the author of 'Compact Manifolds with Special Holonomy' (2000), 'Riemannian Holonomy Groups and Calibrated Geometry' (2007), 'A Theory of Generalized Donaldson-Thomas Invariants' (2012 co-authored with Yinan Song), and 'Algebraic Geometry over C∞-rings' (2019). Joyce is winner of the LMS Whitehead and Fröhlich prizes, an EMS prize, the Adams prize, and he is a Fellow of the Royal Society.

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• 1. Introduction; 2. Background on C∞-schemes 3. Background on manifolds with (g-)corners; 4. (Pre) C∞-rings with corners; 5. C∞-schemes with corners; 6. Boundaries, corners, and the corner functor; 7. Modules, and sheaves of modules; 8. Further generalizations and applications; References; Glossary of Notation; Index.

Kelli Francis-Staite read for her DPhil at the University of Oxford as a Rhodes Scholar. Her thesis developed the theory of C∞-algebraic geometry with corners. She is currently an Adjunct Senior Lecturer at the University of Adelaide. Dominic Joyce is Professor of Mathematics at Oxford University and a Senior Research Fellow at Lincoln College Oxford. He is the author of 'Compact Manifolds with Special Holonomy' (2000), 'Riemannian Holonomy Groups and Calibrated Geometry' (2007), 'A Theory of Generalized Donaldson-Thomas Invariants' (2012 co-authored with Yinan Song), and 'Algebraic Geometry over C∞-rings' (2019). Joyce is winner of the LMS Whitehead and Fröhlich prizes, an EMS prize, the Adams prize, and he is a Fellow of the Royal Society.

Select Guide Rating

• 1. Introduction; 2. Background on C∞-schemes 3. Background on manifolds with (g-)corners; 4. (Pre) C∞-rings with corners; 5. C∞-schemes with corners; 6. Boundaries, corners, and the corner functor; 7. Modules, and sheaves of modules; 8. Further generalizations and applications; References; Glossary of Notation; Index.

Kelli Francis-Staite read for her DPhil at the University of Oxford as a Rhodes Scholar. Her thesis developed the theory of C∞-algebraic geometry with corners. She is currently an Adjunct Senior Lecturer at the University of Adelaide. Dominic Joyce is Professor of Mathematics at Oxford University and a Senior Research Fellow at Lincoln College Oxford. He is the author of 'Compact Manifolds with Special Holonomy' (2000), 'Riemannian Holonomy Groups and Calibrated Geometry' (2007), 'A Theory of Generalized Donaldson-Thomas Invariants' (2012 co-authored with Yinan Song), and 'Algebraic Geometry over C∞-rings' (2019). Joyce is winner of the LMS Whitehead and Fröhlich prizes, an EMS prize, the Adams prize, and he is a Fellow of the Royal Society.

Select Guide Rating

• 1. Introduction; 2. Background on C∞-schemes 3. Background on manifolds with (g-)corners; 4. (Pre) C∞-rings with corners; 5. C∞-schemes with corners; 6. Boundaries, corners, and the corner functor; 7. Modules, and sheaves of modules; 8. Further generalizations and applications; References; Glossary of Notation; Index.