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Overview

Brian Harbourne is affiliated with the University of Nebraska-Lincoln in the United States. Their research contributions span primarily the fields of Mathematics and Computer Science, with significant work in related subfields such as Geometry and Topology, Algebra and Number Theory, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, and Computational Mechanics.

The scientist has focused on several main topics in their research, including:

  • Algebraic Geometry and Number Theory
  • Commutative Algebra and Its Applications
  • Polynomial and algebraic computation
  • Mathematics and Applications
  • Advanced Combinatorial Mathematics
  • Advanced Numerical Analysis Techniques
  • Tensor decomposition and applications

Frequent co-authors of Brian Harbourne include:

  • Adam Van Tuyl
  • Enrico Carlini
  • Huy Tài Hà
  • Juan Migliore
  • Łucja Farnik

The scientist's research has been published in various venues, with a concentration in:

  • arXiv (Cornell University)
  • Journal of Pure and Applied Algebra
  • The Michigan Mathematical Journal
  • Journal of Algebraic Combinatorics
  • European Journal of Mathematics

Selected recent papers by Brian Harbourne include:

  • "Unexpected Hypersurfaces and Where to Find Them," 2020, The Michigan Mathematical Journal
  • "Extreme values of the resurgence for homogeneous ideals in polynomial rings," 2021, Journal of Pure and Applied Algebra

Other recent publications by the scientist's collaborators in related works include:

  • "Real and complex supersolvable line arrangements in the projective plane," 2020, Journal of Algebraic Combinatorics
  • "Unexpected surfaces singular on lines in \( \mathbb{P}^3 \)," 2020, European Journal of Mathematics
  • "A matrixwise approach to unexpected surfaces," 2020, Homo Politicus (Academy of Humanities and Economics in Lodz)

Brian Harbourne has authored a book published by Springer Nature titled Ideals of Powers and Powers of Ideals (2020), which has accrued citations reflecting its influence in the field.

Best Publications

  • Comparing powers and symbolic powers of ideals

    Cristiano Bocci;Brian Harbourne

  • THE GEOMETRY OF RATIONAL SURFACES AND HILBERT FUNCTIONS OF POINTS IN THE PLANE

    Brian Harbourne

  • ARE SYMBOLIC POWERS HIGHLY EVOLVED

    Brian Harbourne;Craig Hunkeke

  • A primer on Seshadri constants

    Thomas Bauer;Sandra Di Rocco;Brian Harbourne;Michal Kapustka

  • Complete linear systems on rational surfaces

    Brian Harbourne

  • Anticanonical Rational Surfaces

    Brian Harbourne

  • Star configurations in Pn

    A.V. Geramita;A.V. Geramita;B. Harbourne;J. Migliore

  • The resurgence of ideals of points and the containment problem

    Cristiano Bocci;Brian Harbourne

  • Free resolutions of fat point ideals onP2

    Brian Harbourne

  • Asymptotic resurgences for ideals of positive dimensional subschemes of projective space

    Elena Guardo;Brian Harbourne;Adam Van Tuyl

  • Containment counterexamples for ideals of various configurations of points in PN

    Brian Harbourne;Alexandra Seceleanu

  • Resurgences for ideals of special point configurations in PN coming from hyperplane arrangements

    Marcin Dumnicki;Brian Harbourne;Uwe Nagel;Alexandra Seceleanu

  • The Waldschmidt constant for squarefree monomial ideals

    Cristiano Bocci;Susan Cooper;Elena Guardo;Brian Harbourne

  • Line arrangements and configurations of points with an unusual geometric property

    David Cook;Brian Harbourne;Juan Migliore;Uwe Nagel

  • Negative curves on algebraic surfaces

    Thomas Bauer;Brian Harbourne;Andreas Leopold Knutsen;Alex Küronya

  • Linear systems with multiple base points in P2

    Brian Harbourne;Joaquim Roé

  • GLOBAL ASPECTS OF THE GEOMETRY OF SURFACES

    Brian Harbourne

  • Linear subspaces, symbolic powers and Nagata type conjectures

    Marcin Dumnicki;Brian Harbourne;Tomasz Szemberg;Halszka Tutaj-Gasińska

  • Free Resolutions of Fat Point Ideals on $P^2$

    Brian Harbourne

  • Containment Counterexamples for ideals of various configurations of points in ${f P}^N$

    Brian Harbourne;Alexandra Seceleanu

Frequent Co-Authors

Anthony V. Geramita
Anthony V. Geramita Queen's University

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