Math Department Faculty
Brian Lehmann
Associate Professor
Brian Lehmann
Ph.D.
Contact
Maloney Hall 572
Telephone: 617-552-3764
Email: brian.lehmann@bc.edu
Education
- B.S., Yale University
- Certificate of Advanced Study, Cambridge University
- Ph.D., Massachusetts Institute of Technology
Research
| Geometric Manin's Conjecture and rational curves (joint with S. Tanimoto) submitted | arxiv | |
| Correspondences between convex geometry and complex geometry (joint with J. Xiao) submitted | arxiv | |
| On the geometry of thin exceptional sets in Manin's Conjecture (joint with S. Tanimoto) to appear in Duke Math. J. | arxiv | |
| Positivity functions for curves on algebraic varieties (joint with J. Xiao) submitted | arxiv | |
| Convexity and Zariski decomposition structure (joint with J. Xiao) Geom. Funct. Anal. 26 (2016), no. 4, 1135-1189 | arxiv | |
| Volume and Hilbert function of R-divisors (joint with M. Fulger and J. Kollár) Mich. Math. J. 65 (2016), no. 2, 371-387 | arxiv | |
| Balanced line bundles on Fano varieties (joint with S. Tanimoto and Y. Tschinkel) to appear in J. Reine Angew. Math. | arxiv | |
| Positive cones of dual cycle classes (joint with M. Fulger) Alg. Geom. 4 (2017), no. 1, 1-28 | arxiv | |
| Morphisms and faces of pseudo-effective cones (joint with M. Fulger) Proc. Lon. Math. Soc. 112 (2016), no. 4, 651-676 | arxiv | |
| Kernels of numerical pushforwards (joint with M. Fulger) to appear in Adv. Geom. | arxiv | |
| Zariski decompositions of numerical cycle classes (joint with M. Fulger) to appear in J. of Alg. Geom. | arxiv | |
| Asymptotic behavior of the dimension of the Chow variety to appear in Adv. Math. | arxiv | |
| Volume-type functions for numerical cycle classes Duke Math. J. 165 (2016), no. 16, 3147-3187 | arxiv | |
| The movable cone via intersections | arxiv | |
| Numerical triviality and pullbacks J. Pure Appl. Algebra 219 (2015), no. 12, 5637-5649 | arxiv | |
| Algebraic bounds on analytic multiplier ideals Ann. Inst. Fourier 64 (2014), no. 3, 1077-1108 | arxiv | |
| On Eckl's pseudo-effective reduction map Trans. Amer. Math. Soc. 366 (2014), 1525-1549 | arxiv | |
| Comparing numerical dimensions Algebra Number Theory 7 (2013), no. 5, 1065-1100 Update 2015: there is a mistake in the proof of Proposition 5.3 which affects the main theorem. The error is identified in a paper by Eckl. | arxiv | |
| Reduction maps and minimal model theory (joint with Y. Gongyo) Compos. Math. 149 (2013), no. 2, 295-308 | arxiv | |
| A cone theorem for nef curves J. of Alg. Geom. 21 (2012), no. 3, 473-493 | arxiv |