Brian Lehmann

Geometry and Topology · 2011–2018

A researcher in the Science corpus: 6 papers; trusts 26 researchers and is trusted by 4 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 54 citations into it; #3,695 of 7,422 by trust here, #3,358 by citations
• Mathematical Physics — 23 citations into it
• Applied Mathematics — 16 citations into it; #5,060 of 7,620 by trust here, #5,443 by citations
• Algebra and Number Theory — 13 citations into it; #2,040 of 2,864 by trust here, #1,740 by citations
• Computational Theory and Mathematics — 8 citations into it; #8,985 of 12,182 by trust here, #9,804 by citations
• Statistical and Nonlinear Physics — 5 citations into it

Whom Brian Lehmann trusts overall

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

1. Noboru Nakayama
2. R. Lazarsfeld
3. S. Boucksom
4. C. Birkar
5. Brendan Hassett
6. Izzet Coskun
7. L. Ein
8. C. Favre
9. Antoine Chambert-Loir
10. Irena Swanson

Who trusts Brian Lehmann overall

1. Yoshinori Gongyo
2. Nguyen-Bac Dang
3. Mihai Fulger
4. Brendan Hassett
5. Jordan S. Ellenberg

Papers from Brian Lehmann's perspective

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

1. Zariski-decomposition and abundance
2. Restricted volumes and base loci of linear series
3. Comparing numerical dimensions
4. Varieties fibered by good minimal models
5. Singularities of linear systems and boundedness of Fano varieties (Annals of Mathematics)
6. Stable base loci of linear series
7. The Minimal Model Program for the Hilbert Scheme of Points on P^2 and Bridgeland Stability
8. Moduli spaces of weighted pointed stable curves
9. Divisorial Zariski decompositions on compact complex manifolds
10. On the distribution of points of bounded height on equivariant compactifications of vector groups

Their papers

• Positive cones of dual cycle classes (2014) — 87 citations
• Geometric consistency of Manin's conjecture (2018) — 47 citations
• Geometric Manin’s conjecture and rational curves (2017) — 56 citations
• Zariski decompositions of numerical cycle classes (2013) — 56 citations
• Reduction maps and minimal model theory (2011) — 48 citations
• Comparing numerical dimensions (2011) — 72 citations