Projects per year

## Fingerprint Dive into the research topics where Anastasiia Tsvietkova is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 4 Similar Profiles

Complement
Mathematics

Hyperbolic Volume
Mathematics

Hyperbolic Structure
Mathematics

Diagram
Mathematics

Hyperbolic 3-manifold
Mathematics

Geodesic
Mathematics

Colored Jones Polynomial
Mathematics

Incompressible Surface
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2016 2018

- 1 Finished

## Hyperbolic Structures From Link Diagrams

National Science Foundation (NSF)

9/1/16 → 7/31/18

Project: Research project

Hyperbolic Structure

Diagram

Knot

Hyperbolic 3-manifold

Hyperbolic Volume

## Research Output 2009 2019

- 18 Citations
- 3 h-Index
- 8 Article

## Simplicial volume of links from link diagrams

Dasbach, O. & Tsvietkova, A., Jan 1 2019, In : Mathematical Proceedings of the Cambridge Philosophical Society. 166, 1, p. 75-81 7 p.Research output: Contribution to journal › Article

Diagram

Complement

Twist

Hyperbolic Volume

Upper bound

## Determining isotopy classes of crossing arcs in alternating links

Tsvietkova, A., Jan 1 2018, In : Asian Journal of Mathematics. 22, 6, p. 1005-1024 20 p.Research output: Contribution to journal › Article

Isotopy

Triangulation

Geodesic

Arc of a curve

Hyperbolic Structure

## The number of surfaces of fixed genus in an alternating link complement

Hass, J., Thompson, A. & Tsvietkova, A., Mar 1 2017, In : International Mathematics Research Notices. 2017, 6, p. 1611-1622 12 p.Research output: Contribution to journal › Article

Incompressible Surface

Genus

Complement

Polynomial

1
Citation
(Scopus)

## Intercusp geodesics and the invariant trace field of hyperbolic 3-manifolds

Neumann, W. D. & Tsvietkova, A., Feb 1 2016, In : Proceedings of the American Mathematical Society. 144, 2, p. 887-896 10 p.Research output: Contribution to journal › Article

Hyperbolic 3-manifold

Geodesic

Tunnels

Trace

Polynomials

5
Citations
(Scopus)

## A refined upper bound for the hyperbolic volume of alternating links and the colored Jones polynomial

Dasbach, O. & Tsvietkova, A., Jan 1 2015, In : Mathematical Research Letters. 22, 4, p. 1047-1060 14 p.Research output: Contribution to journal › Article

Hyperbolic Volume

Colored Jones Polynomial

Upper bound

Coefficient