Brian Lehmann

401 total citations
15 papers, 119 citations indexed

About

Brian Lehmann is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Brian Lehmann has authored 15 papers receiving a total of 119 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Geometry and Topology, 6 papers in Mathematical Physics and 5 papers in Applied Mathematics. Recurrent topics in Brian Lehmann's work include Algebraic Geometry and Number Theory (14 papers), Geometry and complex manifolds (6 papers) and Homotopy and Cohomology in Algebraic Topology (5 papers). Brian Lehmann is often cited by papers focused on Algebraic Geometry and Number Theory (14 papers), Geometry and complex manifolds (6 papers) and Homotopy and Cohomology in Algebraic Topology (5 papers). Brian Lehmann collaborates with scholars based in United States, Japan and China. Brian Lehmann's co-authors include Sho Tanimoto, Yoshinori Gongyo, Janós Kollár and Yuri Tschinkel and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Journal für die reine und angewandte Mathematik (Crelles Journal).

In The Last Decade

Brian Lehmann

15 papers receiving 109 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Brian Lehmann United States 8 113 56 32 18 14 15 119
Donghoon Hyeon United States 7 167 1.5× 94 1.7× 23 0.7× 28 1.6× 20 1.4× 16 167
Daniel Greb Germany 6 162 1.4× 96 1.7× 37 1.2× 11 0.6× 8 0.6× 17 166
Gianluca Pacienza France 7 142 1.3× 64 1.1× 49 1.5× 14 0.8× 18 1.3× 28 146
Carolina Araujo Brazil 9 164 1.5× 70 1.3× 56 1.8× 28 1.6× 10 0.7× 18 175
Stéphane Druel France 10 196 1.7× 103 1.8× 36 1.1× 25 1.4× 17 1.2× 19 199
Andreas Höring France 10 205 1.8× 105 1.9× 54 1.7× 12 0.7× 15 1.1× 30 208
Michael McQuillan Italy 6 167 1.5× 58 1.0× 56 1.8× 34 1.9× 22 1.6× 11 175
Roberto Pignatelli Italy 6 92 0.8× 59 1.1× 10 0.3× 8 0.4× 18 1.3× 22 95
Daniele Arcara United States 3 115 1.0× 82 1.5× 12 0.4× 9 0.5× 9 0.6× 5 118
Piotr W. Nowak Poland 8 96 0.8× 136 2.4× 45 1.4× 14 0.8× 33 2.4× 19 156

Countries citing papers authored by Brian Lehmann

Since Specialization
Citations

This map shows the geographic impact of Brian Lehmann'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 Lehmann with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Brian Lehmann more than expected).

Fields of papers citing papers by Brian Lehmann

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Brian Lehmann. 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 Lehmann. The network helps show where Brian Lehmann may publish in the future.

Co-authorship network of co-authors of Brian Lehmann

This figure shows the co-authorship network connecting the top 25 collaborators of Brian Lehmann. A scholar is included among the top collaborators of Brian Lehmann 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 Lehmann. Brian Lehmann is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

15 of 15 papers shown
1.
Lehmann, Brian, et al.. (2023). Rational curves on del Pezzo surfaces in positive characteristic. 10(14). 407–451. 2 indexed citations
2.
Lehmann, Brian & Sho Tanimoto. (2023). Classifying sections of del Pezzo fibrations, I. Journal of the European Mathematical Society. 26(1). 289–354. 1 indexed citations
3.
Lehmann, Brian, et al.. (2022). Moduli spaces of rational curves on Fano threefolds. Advances in Mathematics. 408. 108557–108557. 4 indexed citations
4.
Lehmann, Brian, et al.. (2022). Geometric consistency of Manin's conjecture. Compositio Mathematica. 158(6). 1375–1427. 13 indexed citations
5.
Lehmann, Brian & Sho Tanimoto. (2022). Classifying sections of del Pezzo fibrations, II. Geometry & Topology. 26(6). 2565–2647. 2 indexed citations
6.
Lehmann, Brian & Sho Tanimoto. (2019). Geometric Manin’s conjecture and rational curves. Compositio Mathematica. 155(5). 833–862. 13 indexed citations
7.
Lehmann, Brian & Sho Tanimoto. (2019). Rational curves on prime Fano threefolds of index 1. Journal of Algebraic Geometry. 30(1). 151–188. 6 indexed citations
8.
Lehmann, Brian, et al.. (2019). Positivity functions for curves on algebraic varieties. Algebra & Number Theory. 13(6). 1243–1279. 2 indexed citations
9.
Lehmann, Brian, et al.. (2018). Positivity of the diagonal. Duo Research Archive (University of Oslo). 2 indexed citations
10.
Lehmann, Brian & Sho Tanimoto. (2018). On exceptional sets in Manin’s conjecture. Research in the Mathematical Sciences. 6(1). 12 indexed citations
11.
Lehmann, Brian, et al.. (2016). Convexity and Zariski decomposition structure. Geometric and Functional Analysis. 26(4). 1135–1189. 11 indexed citations
12.
Lehmann, Brian, Sho Tanimoto, & Yuri Tschinkel. (2016). Balanced line bundles on Fano varieties. Journal für die reine und angewandte Mathematik (Crelles Journal). 2018(743). 91–131. 11 indexed citations
13.
Kollár, Janós, et al.. (2016). Volume and Hilbert functions of R-divisors. The Michigan Mathematical Journal. 65(2). 13 indexed citations
14.
Lehmann, Brian. (2013). On Eckl’s pseudo-effective reduction map. Transactions of the American Mathematical Society. 366(3). 1525–1549. 8 indexed citations
15.
Gongyo, Yoshinori & Brian Lehmann. (2012). Reduction maps and minimal model theory. Compositio Mathematica. 149(2). 295–308. 19 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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