Research


Papers in Preparation:


  • Complex hyperbolic Gromov-Thurston manifolds
    Preliminary version available here (last updated Dec. 2017)




    Submitted papers:


  • Warped product metrics on (complex) hyperbolic manifolds
    23 pages as a preprint (Dec. 2017)

  • Real hyperbolic hyperplane complements in the complex hyperbolic plane
    33 pages as a preprint (Sept. 2016)

  • On the isometric embedding problem for length metric spaces
    40 pages as a preprint (Feb. 2016)

  • Combinatorial systolic inequalities (joint with R. Kowalick and J.F. Lafont)
    37 pages as a preprint (June 2015)




    Accepted papers:


  • Intrinsic geometry of a Euclidean simplex
    8 pages. To appear in the conference proceedings for Topological Methods in Group Theory: A Conference in Honor of Ross Geoghegan's 70th Birthday.




    Published papers:


  • 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