Research

Research papers

  1. Lattice homology, formality, and plumbed L-space links, with Maciej Borodzik and Ian Zemke, preprint.

2. Complex-hyperbolic Kleinian groups of large critical exponents, with Subhadip Dey, submitted.

3. Uniform Spectral gap and orthogeodesic counting for strong convergence of Kleinian groups, with Franco Vargas Pallete, submitted.

4. Cusps, Kleinian groups and Eisenstein series, with Shi Wang, submitted.

5. Kleinian groups via strict hyperbolization, submitted.

6. Heegaard Floer homology and plane curves with non-cuspidal singularities, with Maciej Borodzik and Ian Zemke, submitted.

7. Four manifolds with no smooth spines, with Igor Belegradek, Math. Res. Lett. (to appear).

8. Discrete subgroups of small critical exponent, with Shi Wang, Geom. Topol. (to appear).

9. Triple linking numbers and Heegaard Floer homology, with Eugene Gorsky, Tye Lidman, and Allison H. Moore, IMRN (to appear).

10. Fibered and strongly quasi-positive L-space links, with Alberto Cavallo, Michigan Math. J. (to appear).

11. Knot graphs and Gromov hyperbolicity, with Stanislav Jabuka and Allison H. Moore, Math. Z. 301 (2022), no. 1, 811-834.

12. Hausdorff dimension of non-conical limit sets, with Michael Kapovich, Trans. Amer. Math. Soc. 373 (2020), no. 10, 7207-7224.

13. L-space surgeries on 2-component L-space links, Trans. London Math. Soc. 8 (2021), no. 1, 65-94.

14. Surgery on links of linking number zero and the Heegaard Floer d-invariant, with Eugene Gorsky and Allison H. Moore, Quantum Topol. 11 (2020), no. 2, 323-378.

15. Ping-pong in Hadamard manifolds, with Subhadip Dey and Michael Kapovich, Munster J. Math. 12 (2019), no. 2, 453-471.

16. Four genera of links and Heegaard Floer homology, Algebr. Geom. Topol. 19 (2019), no. 7, 3511-3540.

17. Geometric finiteness in negatively pinched Hadamard manifolds, with Michael Kapovich, Ann. Acad. Sci. Fenn. Math. 44 (2019), no. 2, 841-875.

18. Heegaard Floer homology of L-space links with two components, Pacific J. Math. 298 (2019), no.1, 83-112.


Work in progress (draft available upon requested):

  1. Pattern preserving quasi-isometries in lamplighter groups and other related groups, with Tullia Dymarz, Natasa Mascura, and Rose Morris-Wright.