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)
On the isometric embedding problem for length metric spaces
40 pages as a preprint. Accepted to J. Topol. Anal.
Negatively curved codimension one distributions
11 pages as a preprint. To appear 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.
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