Brian Harbourne

2.1k total citations
63 papers, 887 citations indexed

About

Brian Harbourne is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, Brian Harbourne has authored 63 papers receiving a total of 887 indexed citations (citations by other indexed papers that have themselves been cited), including 56 papers in Geometry and Topology, 44 papers in Algebra and Number Theory and 36 papers in Computational Theory and Mathematics. Recurrent topics in Brian Harbourne's work include Algebraic Geometry and Number Theory (52 papers), Commutative Algebra and Its Applications (41 papers) and Polynomial and algebraic computation (34 papers). Brian Harbourne is often cited by papers focused on Algebraic Geometry and Number Theory (52 papers), Commutative Algebra and Its Applications (41 papers) and Polynomial and algebraic computation (34 papers). Brian Harbourne collaborates with scholars based in United States, Italy and Canada. Brian Harbourne's co-authors include Cristiano Bocci, Anthony V. Geramita, Juan Migliore, Alexandra Seceleanu, Ciro Ciliberto, Alessandro Gimigliano, Joaquím Roé, Elena Guardo, Tomasz Szemberg and Susan Cooper and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Pacific Journal of Mathematics.

In The Last Decade

Brian Harbourne

60 papers receiving 792 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Brian Harbourne United States	19	744	671	541	131	102	63	887
Anthony Iarrobino United States	15	749 1.0×	691 1.0×	415 0.8×	147 1.1×	116 1.1×	38	956
Frank–Olaf Schreyer Germany	13	793 1.1×	441 0.7×	257 0.5×	89 0.7×	338 3.3×	43	884
Christian Peskine France	6	766 1.0×	660 1.0×	305 0.6×	68 0.5×	143 1.4×	12	865
Ziv Ran United States	14	477 0.6×	137 0.2×	232 0.4×	102 0.8×	230 2.3×	80	589
Vassil Kanev Bulgaria	7	273 0.4×	180 0.3×	164 0.3×	54 0.4×	62 0.6×	17	393
André Hirschowitz France	13	374 0.5×	175 0.3×	211 0.4×	30 0.2×	122 1.2×	36	500
Lawrence Ein United States	27	1.5k 2.0×	588 0.9×	452 0.8×	94 0.7×	650 6.4×	51	1.6k
Steven Dale Cutkosky United States	16	706 0.9×	492 0.7×	357 0.7×	44 0.3×	166 1.6×	67	777
Jean-Pierre Jouanolou France	11	449 0.6×	219 0.3×	293 0.5×	32 0.2×	113 1.1×	16	601
Hubert Flenner Germany	17	674 0.9×	300 0.4×	155 0.3×	45 0.3×	338 3.3×	50	750

Countries citing papers authored by Brian Harbourne

Since Specialization

Citations

This map shows the geographic impact of Brian Harbourne's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Brian Harbourne with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Brian Harbourne more than expected).

Fields of papers citing papers by Brian Harbourne

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Brian Harbourne. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Brian Harbourne. The network helps show where Brian Harbourne may publish in the future.

Co-authorship network of co-authors of Brian Harbourne

This figure shows the co-authorship network connecting the top 25 collaborators of Brian Harbourne. A scholar is included among the top collaborators of Brian Harbourne based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Brian Harbourne. Brian Harbourne is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Chiantini, Luca, et al.. (2024). Geproci sets on skew lines in P3 with two transversals. Journal of Pure and Applied Algebra. 229(1). 107809–107809.

Harbourne, Brian, Juan Migliore, & Halszka Tutaj–Gasińska. (2021). New constructions of unexpected hypersurfaces in Pⁿ. Revista Matemática Complutense. 34(1). 1–18. 1 indexed citations

Harbourne, Brian, et al.. (2020). A matrixwise approach to unexpected surfaces. Homo Politicus (Academy of Humanities and Economics in Lodz). 1 indexed citations

Küronya, Alex, et al.. (2017). Very general monomial valuations of P2 and a Nagata type conjecture. Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona). 4 indexed citations

Bocci, Cristiano, Enrico Carlini, Elena Guardo, & Brian Harbourne. (2015). Mini-Workshop: Ideals of Linear Subspaces, Their Symbolic Powers and Waring Problems. Oberwolfach Reports. 12(1). 489–532.

Geramita, Anthony V., Brian Harbourne, & Juan Migliore. (2012). Star configurations in Pn. Journal of Algebra. 376. 279–299. 49 indexed citations

Cooper, Susan, Brian Harbourne, & Zach Teitler. (2009). Combinatorial bounds on Hilbert functions of fat points in the plane. arXiv (Cornell University). 1 indexed citations

Cooper, Susan, Brian Harbourne, & Zach Teitler. (2009). Using residuation and collinearity to bound Hilbert functions of fat points in the plane. arXiv (Cornell University). 3 indexed citations

Bocci, Cristiano & Brian Harbourne. (2009). Comparing powers and symbolic powers of ideals. Journal of Algebraic Geometry. 19(3). 399–417. 91 indexed citations

10.

Gimigliano, Alessandro, et al.. (2008). The role of the cotangent bundle in resolving ideals of fat points in the plane. Journal of Pure and Applied Algebra. 213(2). 203–214. 5 indexed citations

11.

Guardo, Elena & Brian Harbourne. (2008). Configuration types and cubic surfaces. Journal of Algebra. 320(9). 3519–3533. 1 indexed citations

12.

Harbourne, Brian & Joaquím Roé. (2007). Discrete behavior of Seshadri constants on surfaces. Journal of Pure and Applied Algebra. 212(3). 616–627. 11 indexed citations

13.

Ciliberto, Ciro, et al.. (2005). Projective Varieties with Unexpected Properties. 42 indexed citations

14.

Harbourne, Brian. (2001). On Nagata's Conjecture. Journal of Algebra. 236(2). 692–702. 10 indexed citations

15.

Harbourne, Brian. (2000). An Algorithm for Fat Points on P². Canadian Journal of Mathematics. 52(1). 123–140. 18 indexed citations

16.

Harbourne, Brian. (2000). The ideal generation problem for fat points. Journal of Pure and Applied Algebra. 145(2). 165–182. 15 indexed citations

17.

Harbourne, Brian. (1997). Birational Morphisms of Rational Surfaces. Journal of Algebra. 190(1). 145–162. 12 indexed citations

18.

Harbourne, Brian. (1987). Rational surfaces with infinite automorphism group and no antipluricanonical curve. Proceedings of the American Mathematical Society. 99(3). 409–414. 17 indexed citations

19.

Harbourne, Brian. (1985). Complete Linear Systems on Rational Surfaces. Transactions of the American Mathematical Society. 289(1). 213–213. 23 indexed citations

20.

Harbourne, Brian. (1985). Complete linear systems on rational surfaces. Transactions of the American Mathematical Society. 289(1). 213–226. 55 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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