Publications and Preprints
Correlation bounds for fields and matroids, with June Huh and Benjamin Schröter. Submitted.
Perverse sheaves on semi-abelian varieties, with Yongqiang Liu and Laurentiu Maxim. Submitted.
Numerical computation of braid groups, with with Jose Rodriguez. Preprint.
A numerical algorithm to compute Euler obstruction functions, with with Jose Rodriguez. Submitted.
Mellin transformation, propagation, and abelian duality spaces, with Yongqiang Liu and Laurentiu Maxim. To appear in Adv. Math.
On the length of perverse sheaves and D-modules, with Nero Budur, Pietro Gatti and Yongqiang Liu. Submitted.
Generic vanishing for semi-abelian varieties and integral Alexander modules, with Yongqiang Liu and Laurentiu Maxim. Submitted.
Topology of subvarieties of complex semi-abelian varieties, with Yongqiang Liu and Laurentiu Maxim. Submitted.
Absolute sets and the Decomposition Theorem, with Nero Budur. To appear in Ann. Sci. École Norm. Sup.
Algebraic surfaces with zero dimensional cohomology support locus, Taiwanese J. Math. 22 (2018), no. 3, 607-614.
Cohomology jump loci of quasi-compact Kähler manifolds, with Nero Budur. Submitted.
Lefschetz classes on projective varieties, with June Huh. Proc. Amer. Math. Soc. 145 (2017), no. 11, 4629-4637.
The monodromy theorem for compact Kähler manifolds and smooth quasi-projective varieties, with Nero Budur and Yongqiang Liu. Math. Ann. 371 (2018), no. 3-4, 1069-1086.
Enumeration of points, lines, planes, etc, with June Huh. Acta Mathematica 218 (2017), 297-317.
A Family of Compact Complex-Symplectic Calabi-Yau Manifolds that are Nonkähler, with Lizhen Qin. Geom. Topol. Volume 22, Number 4 (2018), 2115-2144.
Cohomology support loci of local systems, with Nero Budur, Yongqiang Liu and Luis Saumell. Michigan Math. J. 66 (2017), no. 2, 295-307.
Maximum likelihood degree of Fermat hypersurfaces via Euler characteristics. Proc. Amer. Math. Soc. 144 (2016), no. 5, 3649-3655.
Local systems on analytic germ complements, with Nero Budur. Adv. Math. 306 (2017), 905-928
Recent results on cohomology jump loci, with Nero Budur. Hodge Theory and L2-analysis, ALM 39, Higher Education Press and International Press (2017), 205-241.
The maximum likelihood degree of mixtures of independence models, with Jose Rodriguez. SIAM J. Appl. Algebra Geom. 1 (2017), no. 1, 484-506.
Rank one local systems and forms of degree one, with Nero Budur and Youngho Yoon. Int. Math. Res. Not. (2016), no.13, 3849-3855.
Bounding the maximum likelihood degree, with Nero Budur. Math. Res. Lett. 22 (2015), no.6, 1613-1620.
The signed Euler characteristic of very affine varieties , with Nero Budur. Int. Math. Res. Notices. (2015) Vol. 2015, 5710-5714.
Torsion points on the cohomology jump loci of compact Kähler manifolds , Math. Res. Lett. 23 (2016), no.2, 545-563.
Cohomology jump loci of differential graded Lie algebras , with Nero Budur. Compositio Math. 151, no. 8 (2015), 1499-1528.
Cohomology jump loci of quasi-projective varieties, with Nero Budur. Ann. Sci. École Norm. Sup. 48 , no. 1 (2015), 227-236.
Homomorphisms between fundamental groups of Kahler manifolds, Proc. Amer. Math. Soc. 139 (2011), no. 5, 1599-1603.