Brian Harbourne

Geometry and Topology · 2001–2016

A researcher in the Science corpus: 19 papers; trusts 29 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 73 citations into it; #1,113 of 7,422 by trust here, #428 by citations
• Algebra and Number Theory — 71 citations into it; #348 of 2,864 by trust here, #105 by citations
• Computational Theory and Mathematics — 45 citations into it; #2,893 of 12,182 by trust here, #2,060 by citations
• Biomedical Engineering — 10 citations into it
• Mathematical Physics — 6 citations into it
• Theoretical Computer Science — 6 citations into it

Whom Brian Harbourne trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Cristiano Bocci
2. R. Lazarsfeld
3. M. Hochster
4. Craig Huneke
5. David A. Cox
6. L. Ein
7. Thomas Bauer
8. Juan Migliore
9. A. V. Geramita
10. Daniel J. Bates

Who trusts Brian Harbourne overall

1. Cristiano Bocci
2. Tomasz Szemberg
3. Susan M. Cooper
4. A. V. Geramita
5. Thomas Bauer
6. Justyna Szpond
7. Elena Guardo
8. Marcin Dumnicki
9. Karl Schwede
10. Hailong Dao

Papers from Brian Harbourne's perspective

Ordered by how strongly the researchers Brian Harbourne trusts endorse each paper. Same corpus, a different order for every researcher.

1. Comparison of symbolic and ordinary powers of ideals
2. Positivity in algebraic geometry
3. Asymptotic resurgences for ideals of positive dimensional subschemes of projective space
4. Introduction to toric varieties
5. Symbolic Powers and Matroids
6. Symbolic Powers of Monomial Ideals (Proceedings of the Edinburgh Mathematical Society)
7. Linear subspaces, symbolic powers and Nagata type conjectures
8. Algebraic Geometry (Wiley Encyclopedia of Computer Science and Engineering)
9. A study of the Hilbert-Mumford criterion for the stability of projective varieties
10. An obstruction to the existence of constant scalar curvature K

Their papers

• Comparing powers and symbolic powers of ideals (2007) — 235 citations
• The resurgence of ideals of points and the containment problem (2009) — 81 citations
• The Waldschmidt constant for squarefree monomial ideals (2015) — 77 citations
• Star configurations in Pn (2013) — 101 citations
• Seshadri constants and very ample divisors on algebraic surfaces (2001) — 48 citations
• Line arrangements and configurations of points with an unexpected geometric property (2016) — 67 citations
• Matroid configurations and symbolic powers of their ideals (2015) — 50 citations
• Bounded Negativity and Arrangements of Lines (2014) — 69 citations
• Resurgences for ideals of special point configurations in ${\bf P}^N$ coming from hyperplane arrangements (2014) — 74 citations
• Containment counterexamples for ideals of various configurations of points in PN (2013) — 65 citations
• Variations on Nagata's Conjecture (2012) — 64 citations
• Asymptotic resurgences for ideals of positive dimensional subschemes of projective space (2012) — 84 citations
• Linear subspaces, symbolic powers and Nagata type conjectures (2012) — 69 citations
• Containment results for ideals of various configurations of points in PN (2011) — 54 citations
• ARE SYMBOLIC POWERS HIGHLY EVOLVED (2011) — 138 citations
• Negative curves on algebraic surfaces (2011) — 82 citations
• Global aspects of the geometry of surfaces (2009) — 62 citations
• A primer on Seshadri constants (2008) — 150 citations
• Linear systems with multiple base points in P2 (2001) — 47 citations