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Facets of Algebraic Geometry
A Collection in Honor of William Fulton's 80th Birthday

Volume 1

Part of London Mathematical Society Lecture Note Series

Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, Changjian Su, Asher Auel, Michel Brion, Melody Chan, Søren Galatius, Sam Payne, Alessio Corti, Matej Filip, Andrea Petracci, Chiara Damiolini, Angela Gibney, Nicola Tarasca, Dan Edidin, Ryan Richey, Lawrence Ein, Robert Lazarsfeld, Gavril Farkas, Noah Giansiracusa, Xian Wu, E. González, C. Woodward, William Graham, Johan P. Hansen
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  • Date Published: June 2022
  • availability: Temporarily unavailable - available from TBC
  • format: Paperback
  • isbn: 9781108792509

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About the Authors
  • Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the first of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured topics include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.

    • Covers a wide range of topics in modern algebraic geometry reflecting William Fulton's broad range of interests
    • Written by a combination of well-established researchers and rising stars of a new generation of mathematicians
    • Suitable for graduate students and researchers in algebraic geometry and related fields
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    Product details

    • Date Published: June 2022
    • format: Paperback
    • isbn: 9781108792509
    • length: 431 pages
    • dimensions: 230 x 150 x 24 mm
    • weight: 0.61kg
    • availability: Temporarily unavailable - available from TBC
  • Table of Contents

    1. Positivity of Segre–MacPherson classes Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann and Changjian Su
    2. Brill–Noether special cubic fourfolds of discriminant 14 Asher Auel
    3. Automorphism groups of almost homogeneous varieties Michel Brion
    4. Topology of moduli spaces of tropical curves with marked points Melody Chan, Søren Galatius and Sam Payne
    5. Mirror symmetry and smoothing Gorenstein toric affine 3-folds Alessio Corti, Matej Filip and Andrea Petracci
    6. Vertex algebras of CohFT-type Chiara Damiolini, Angela Gibney and Nicola Tarasca
    7. The cone theorem and the vanishing of Chow cohomology Dan Edidin and Ryan Richey
    8. Cayley–Bacharach theorems with excess vanishing Lawrence Ein and Robert Lazarsfeld
    9. Effective divisors on Hurwitz spaces Gavril Farkas
    10. Chow quotients of Grassmannians by diagonal subtori Noah Giansiracusa and Xian Wu
    11. Quantum Kirwan for quantum K-theory E. González and C. Woodward
    12. Toric varieties and a generalization of the Springer resolution William Graham
    13. Toric surfaces, linear and quantum codes – secret sharing and decoding Johan P. Hansen.

  • Editors

    Paolo Aluffi, Florida State University
    Paolo Aluffi is Professor of Mathematics at Florida State University. He earned a Ph.D. from Brown University with a dissertation on the enumerative geometry of cubic plane curves, under the supervision of William Fulton. His research interests are in algebraic geometry, particularly intersection theory and its application to the theory of singularities and connections with theoretical physics.

    David Anderson, Ohio State University
    David Anderson is Associate Professor of Mathematics at The Ohio State University. He earned his Ph.D. from the University of Michigan, under the supervision of William Fulton. His research interests are in combinatorics and algebraic geometry, with a focus on Schubert calculus and its applications.

    Milena Hering, University of Edinburgh
    Milena Hering is Reader in the School of Mathematics at the University of Edinburgh. She earned a Ph.D. from the University of Michigan with a thesis on syzygies of toric varieties, under the supervision of William Fulton. Her research interests are in algebraic geometry, in particular toric varieties, Hilbert schemes, and connections to combinatorics and commutative algebra.

    Mircea Mustaţă, University of Michigan, Ann Arbor
    Mircea Mustaţă is Professor of Mathematics at the University of Michigan, where he has been a colleague of William Fulton for over 15 years. He received his Ph.D. from the University of California, Berkeley under the supervision of David Eisenbud. His work is in algebraic geometry, with a focus on the study of singularities of algebraic varieties.

    Sam Payne, University of Texas, Austin
    Sam Payne is Professor in the Department of Mathematics at the University of Texas at Austin. He earned his Ph.D. at the University of Michigan, with a thesis on toric vector bundles, under the supervision of William Fulton. His research explores the geometry, topology, and combinatorics of algebraic varieties and their moduli spaces, often through relations to tropical and nonarchimedean analytic geometry.

    Contributors

    Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann, Changjian Su, Asher Auel, Michel Brion, Melody Chan, Søren Galatius, Sam Payne, Alessio Corti, Matej Filip, Andrea Petracci, Chiara Damiolini, Angela Gibney, Nicola Tarasca, Dan Edidin, Ryan Richey, Lawrence Ein, Robert Lazarsfeld, Gavril Farkas, Noah Giansiracusa, Xian Wu, E. González, C. Woodward, William Graham, Johan P. Hansen

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