Corey Bregman - Research

Preprints

C. Bregman and B. Tshishiku. Sphere decomposition for finite subgroups of 3-manifold mapping class groups, arXiv:2610.31798

R. Boyd, C. Bregman and J. Steinebrunner. The prime decomposition fiber sequence for moduli spaces of 3-manifolds, arXiv:2604.02099

R. Boyd, C. Bregman. The embedding space of a Hopf link, arXiv:2504.21806

R. Boyd, C. Bregman and J. Steinebrunner. Moduli spaces of 3-manifolds with boundary are finite, arXiv:2404.12748

C. Bregman and M. Incerti-Medici. The normal growth exponent for a codimension-1 hypersurface of a negatively curved manifold, arXiv:2109.06149

C. Bregman and Y. Qing. Dilatation of automorphisms of right-angled Artin groups, arXiv:1810.06499

C. Bregman. Isometry groups of CAT(0) cube complexes, arXiv:1712.04805

C. Bregman and L. Zhang. On Kähler extensions of abelian groups, arXiv:1611.09343

C. Bregman. Automorphisms and homology of non-positively curved cube complexes, arXiv:1609.03602

Published and Accepted Papers

C. Bregman and M. Incerti-Medici. On a generalization of Cannon's conjecture for cubulated hyperbolic groups, accepted to Math. Annalen arXiv:2406.08779

C. Bregman, A. Libgober and K. Zhu. CAT(0) geometry of complex curve complements and families, accepted to Indiana University Mathematics Journal (arXiv:2411.18067).

P. Aceto, C. Bregman, C. Davis, J. Park, and A. Ray. Isotopy and equivalence of knots in 3-manifolds, J. Lond. Math. Soc. (2) 113 (2026), no. 6, Paper No. e70600.

R. Boyd, C. Bregman and J. Steinebrunner. Extending families of homeomorphisms over 4-dimensional handlebodies, Forum Math. Sigma 14 (2026), Paper No. e80, 12 pp.

R. Boyd and C. Bregman. Embedding spaces of split links, Adv. Math. 470 (2025), Paper No. 110235, 41 pp.

C. Bregman. "Isometry groups of skewed Γ-complexes," Geometric methods in group theory—papers dedicated to Ruth Charney, 17-32. Sémin. Congr. 34. Société Mathématique de France, Paris, 2025.

C. Bregman, R. Charney and K. Vogtmann. Finite groups of untwisted outer automorphisms of RAAGs, Alg. Geom. Topol. 25 (2025), No. 4, 2413–2440.

C. Bregman and M. Incerti-Medici. Contractibility of boundaries of cocompact convex sets and embeddings of limit sets, Anal. Geom. Metr. Spaces 12 (2024), No. 1, Paper No. 20240015, 27 pp.

C. Bregman, D. Groves, and K. Zhu. Relatively geometric actions of Kähler groups on CAT(0) cube complexes, Alg. Geom. Topol. 24 (2024), No. 7, 4127-4137.

C. Bregman, R. Charney and K. Vogtmann. Outer space for right-angled Artin groups, Duke Math. J. 172 (2023), no.6, 1033–1108.

C. Bregman and M. Clay. Minimal volume entropy of free-by-cyclic groups and 2-dimensional right-angled Artin groups, Math. Ann. 381 (2021), no. 3-4, 1253–1281.

C. Bregman. On Kodaira fibrations with invariant cohomology, Geom. Topol. 25 (2021), no. 5, 2385–2404.

C. Bregman. Rational growth and almost convexity of higher-dimensional torus bundles, Int. Math. Res. Not. (2019), no. 13, 4004-4046.

C. Bregman and N. Fullarton. Hyperelliptic graphs and the period mapping on outer space, J. Topol. 11 (2018), no. 1, 221-256.

C. Bregman and N. Fullarton. Infinite groups acting on the outer automorphism group of a right-angled Artin group, Mich. Math. J. 66 (2017), no. 3, 569-580.

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