Papers in Preparation:
Complex hyperbolic Gromov-Thurston manifolds
Preliminary version available here (last updated Dec. 2017)
Warped product metrics on (complex) hyperbolic manifolds
23 pages as a preprint (Jan. 2018)
Real hyperbolic hyperplane complements in the complex hyperbolic plane
33 pages as a preprint (Resubmitted in Sept. 2017)
On the isometric embedding problem for length metric spaces
40 pages as a preprint (Resubmitted in Sept. 2017)
Combinatorial systolic inequalities (joint with R. Kowalick and J.F. Lafont)
37 pages as a preprint (Resubmitted in Sept. 2017)
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.
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.
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