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Mathematics

D-Index
39
Citations
19489
World Ranking
2113
National Ranking
891

Overview

William Fulton is affiliated with the University of Michigan-Ann Arbor in the United States. Their research spans primarily the fields of Mathematics and Medicine, with a focus on specialized subfields such as Discrete Mathematics and Combinatorics, Nutrition and Dietetics, Algebra and Number Theory, Mathematical Physics, and Immunology and Allergy.

Their scholarly contributions include research topics centered on Advanced Combinatorial Mathematics, Advanced Algebra and Geometry, Clinical Nutrition and Gastroenterology, Commutative Algebra and Its Applications, Algebraic Geometry and Number Theory, graph theory and CDMA systems, and Algorithms and Data Compression.

Recent published papers by William Fulton include:

  • "Vexillary signed permutations revisited," 2020, Algebraic Combinatorics
  • "Schubert Polynomials in Types A and C," 2021, arXiv (Cornell University)
  • "Incidental Meckel's Diverticulum With Neuroendocrine Tumor," 2022, Cureus
  • "Identities for Schur-type determinants and pfaffians," 2021, arXiv (Cornell University)
  • "Supplementation of Infant Formula with Bioactive Lipids Enhances Lung Development and Prevents Necrotizing Enterocolitis-Induced Lung Injury," 2022, Journal of the American College of Surgeons

Frequent co-authors with whom William Fulton has collaborated include:

  • David Anderson
  • Carla M. Lopez
  • Asuka Ishiyama
  • Sanxia Wang
  • Raheel Ahmad

William Fulton's publications are frequently found in these venues:

  • arXiv (Cornell University)
  • Journal of the American College of Surgeons
  • Algebraic Combinatorics
  • Cureus
  • Journal of Allergy and Clinical Immunology

In addition to journal articles, William Fulton has contributed to book literature. Notably, they authored Equivariant Cohomology in Algebraic Geometry, published by Cambridge University Press in 2023.

Best Publications

  • Introduction to Toric Varieties.

    William Fulton

  • Representation Theory: A First Course

    William Fulton

  • Young Tableaux: With Applications to Representation Theory and Geometry

    William Fulton

  • Eigenvalues, invariant factors, highest weights, and Schubert calculus

    William Fulton

  • A compactification of configuration spaces

    William Fulton;Robert MacPherson

  • Algebraic Curves: An Introduction to Algebraic Geometry

    William Fulton;Richard Weiss

  • Flags, Schubert polynomials, degeneracy loci, and determinantal formulas

    William Fulton

  • Hurwitz Schemes and Irreducibility of Moduli of Algebraic Curves

    William Fulton

  • Riemann-Roch for Singular Varieties

    Paul Baum;William Fulton;Robert Macpherson

  • Schubert varieties and degeneracy loci

    William Fulton;Piotr Pragacz

  • Categorical Framework for the Study of Singular Spaces

    William Fulton;Robert MacPherson

  • Intersection theory on toric varieties

    William Fulton;Bernd Sturmfels

  • Riemann-Roch algebra

    William Fulton;Serge Lang

  • Connectivity and its applications in algebraic geometry

    William Fulton;William Fulton;Robert Lazarsfeld;Robert Lazarsfeld

  • On the connectedness of degeneracy loci and special divisors

    W. Fulton;R. Lazarsfeld

  • Algebraic Topology: A First Course

    William Fulton

  • On the quantum product of Schubert classes

    W. Fulton;C. Woodward

  • A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings

    William Fulton;Johan Hansen

  • Introduction to intersection theory in algebraic geometry

    William Fulton

  • Positive polynomials for ample vector bundles

    William Fulton;Robert Lazarsfeld

  • Lie Algebras and Lie Groups

    William Fulton;Joe Harris

Frequent Co-Authors

Joe Harris
Joe Harris Harvard University
Serge Lang
Serge Lang Yale University
Robert Lazarsfeld
Robert Lazarsfeld Stony Brook University
Chi-Kwong Li
Chi-Kwong Li William & Mary
Sergey Fomin
Sergey Fomin University of Michigan–Ann Arbor
Bernd Sturmfels
Bernd Sturmfels Max Planck Institute for Mathematics in the Sciences
Brian Parshall
Brian Parshall University of Virginia
Robin Hartshorne
Robin Hartshorne University of California, Berkeley

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