Research

Papers in Preparation:

  • High dimensional hyperbolic Coxeter groups that virtually fiber (joint with J.F. Lafont, G. Sorcar, M. Stover, and J. Wells)



    Submitted papers:

  • Curvature operators on Kahler manifolds
    Last submitted in March 24. Available on arXiv as a preprint

  • Warped product metrics on hyperbolic and complex hyperbolic manifolds
    Last submitted in October 23. Available on arXiv as a preprint

  • Kahler manifolds with an almost 1/4-pinched metric
    Last submitted in April 24. Available on arXiv as a preprint



    Published and Accepted papers:

  • Synthetic geometry in hyperbolic simplices (joint with A. Clickard)
    Available on arXiv as a preprint. Final version in Involve, a Journal of Mathematics, 15-5 (2022), 885-906.

  • On the isometric embedding problem for length metric spaces
    Available on arXiv as a preprint. Final version in J. Topol. Anal., 13 No. 4 (2021), 889-932.

  • Negatively curved codimension one distributions
    Available as a preprint. Final version in Topology Proc., 56 (2020), 111-124.

  • Filling triangulated surfaces (joint with R. Kowalick and J.F. Lafont)
    14 pages as a preprint. Final version in Geom. Dedicata, 202 (2019), 373-386. Here is a 'read only' version of the paper.

  • Real hyperbolic hyperplane complements in the complex hyperbolic plane
    33 pages as a preprint. Final version in Adv. Math., 338 (2018), 1038-1076.

  • Intrinsic geometry of a Euclidean simplex
    8 pages as a preprint. Final version in "Topological Methods in Group Theory" (London Mathematical Society Lecture Note Series), Vol. 451 (2018), 135-145.

  • Simplicial isometric embeddings of polyhedra
    16 pages as a preprint. Final version in Mosc. Math. J., 17 (2017) no. 1, 79-95.

  • Approximating continuous maps by isometries
    11 pages as a preprint. Final version in New York J. Math., 22 (2016), 741-753.

  • Isometric embeddings of pro-Euclidean spaces
    Final version in Anal. Geom. Metr. Spaces, 3 (2015), 317-324.

  • Isometric embeddings of polyhedra into Euclidean space
    13 pages as a preprint. Final version in J. Topol. Anal., 7 (2015), no. 4, 677-692.



    Here is a link to my Ph. D. thesis, titled "Isometric embeddings of polyhedra".

    Was awarded a 2016 AMS-Simons Travel Grant.

    To return to Barry Minemyer's homepage, click here