# 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 (Jan. 2018)

## Accepted papers:

** 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.

## Published papers:

** 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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