1. Cellular waists of hyperbolic spaces (with Delzant), 14 pages. [arxiv]

2. L^2-Betti numbers in prime characteristic and a conjecture of Wise (with Lueck), 53 pages. [arxiv]

3. L^2-Betti numbers of branched covers of hyperbolic manifolds (with Okun and Schreve), 14 pages, Mathematische Annalen, 392, (2025): 2621-2634. [arxiv]

4. Edge subdivisions and the L^2 homology of right-angled Coxeter groups (with Okun and Schreve), 21 pages, to appear in Journal London Math. Soc., slides. [arxiv]

5. Group rings and hyperbolic geometry (with Delzant), 29 pages, to appear in Geometry and Topology. [arxiv]

6. Homology growth, hyperbolization, and fibering (with Okun and Schreve), Geometric and Functional Analysis, 34. no.2 (2024): 303-376. [arxiv]

7. Fungible obstructions to embedding 2-complexes (with Tam), under revision (adding some more stuff). [arxiv]

8. Division in group rings of surface groups, Journal London Math. Soc., 106, no.2 (2022): 982-1007, video. [arxiv]

9. Mod p and torsion homology growth in nonpositive curvature (with Okun and Schreve), Inventiones Mathematicae, 226. (2021): 711-723. [arxiv] 

10. Incompressible fillings of manifolds, under revision (I want to rewrite the introduction). [arxiv]

11. Examples of noncompact nonpositively curved manifolds (with Tam), Bull. London Math. Soc., 53, no.4 (2021): 1061-1071. [arxiv]

12. Half dimensional collapse of ends of manifolds of nonpositive curvature (with Tam), Geometric and Functional Analysis, 29. no.6 (2019): 1638-1702, videos 1 and 2. [arxiv] 

13. Ends of finite volume, nonpositively curved manifolds, Mathematische Annalen, 373, no.1-2 (2019): 191-235. [arxiv]

14. Rational manifold models for duality groups,  Geometric and Functional Analysis, 28, no.4 (2018): 965-994. [arxiv]

15. Action dimension of right angled Artin groups (with Davis, Okun, and Schreve), Bull. London Math. Soc. 41, no.1 (2016): 115-126. [arxiv]

16. Flat cycles in the homology of Gamma\SL(m,R)/SO(m) (with Tam), Comment. Math. Helv. 90, no.3 (2015): 645-666. [arxiv], a simplification of the proof of Theorem 1 can be found here.

17. Horospherical limit points of finite volume locally symmetric spaces (with Witte Morris), New York J. Math 20 (2014): 353-366. [arxiv]

18. Smith theory, L^2-cohomology, isometries of locally symmetric spaces, and moduli spaces of curves, Duke Math Journal, 163, no.1 (2014): 1-34. [arxiv]

19. Periodic flats and group actions on locally symmetric spaces, Geometry and Topology, 17, no.1 (2013): 311-327. [arxiv]

Variations of a conjecture of Singer, Oberwolfach 2020 research report. 

Cellular waists of hyperbolic spaces and a conjecture in higher rank, Oberwolfach 2026 research report.

All my papers are available on the arXiv here.