Match tier
Confirmed
Presence
Current · Arkansas
Last published
2023
Sources
OpenAlex · ORCID
Refreshed
2026-10-06
Y
Yo’av Rieck
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Professor
Also affiliated: University of California, Santa Barbara (2000–2001); Nara Women's University (2002–2006)
11 h-index
59 pubs
343 cited
Research Areas
Links
Biography and Research Information
OverviewAI-generated summary
Yo’av Rieck's research focuses on topology, specifically the study of manifolds and their Heegaard splittings. His work investigates the structures and properties of these mathematical objects, often in the context of Dehn filling and knot exteriors. Rieck has explored concepts such as thin position for knots and the finiteness of Heegaard surfaces in surgered manifolds. His publications also address bounds on the tetrahedral number of manifolds with bounded volume, drawing on work by Jørgensen and Thurston.
Rieck has a scholarly output of 59 publications with 330 citations, and an h-index of 10. He has collaborated with researchers such as Matt Clay and Rachel Lehman at the University of Arkansas at Fayetteville. His recent activity indicates continued engagement in the field.
Metrics
- h-index: 11
- Publications: 59
- Citations: 343
Positions
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Professor publications 2001–2023University of Arkansas at Fayetteville Institution web page
Selected Publications
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Strongly aperiodic SFTs on hyperbolic groups: where to find them and why we love them (2023)
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A structure theorem for bad 3-orbifolds (2022)
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The unbearable hardness of unknotting (2021)
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Strongly aperiodic subshifts of finite type on hyperbolic groups (2021)
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Embeddability in R <sup>3</sup> is NP-hard (2020)
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Embeddability in R^3 is NP-hard (2018)
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The growth rate of the tunnel number of m-small knots (2018)
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Cosmetic surgery and the link volume of hyperbolic 3–manifolds (2016)
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The spectrum of the growth rate of the tunnel number is infinite (2015)
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Strong cylindricality and the monodromy of bundles (2015)
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Hyperbolic volume and Heegaard distance (2014)
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Strong cylindricality and the monodromy of bundles (2013)
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The link volume of 3–manifolds (2013)
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The Link Volumes of some prism manifolds (2012)
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The link volumes of some prism manifolds (2012)
Collaboration Network
Top Collaborators
Tsuyoshi Kobayashi
Nara Women's University (JP)
10 shared publications
- Separating incompressible surfaces and stabilizations of Heegaard splittings
- On the growth rate of the tunnel number of knots
- Local detection of strongly irreducible Heegaard splittings via knot exteriors
- Knots with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>g</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>E</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>K</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi>g</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>E</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>K</mml:mi><mml:mi mathvariant="normal">#</mml:mi><mml:mi>K</mml:mi><mml:mi mathvariant="normal">#</mml:mi><mml:mi>K</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math> and Morimoto's Conjecture
- Hyperbolic volume and Heegaard distance
Showing 5 of 10 shared publications
Tsuyoshi Kobayashi
6 shared publications
- Heegaard Genus of the Connected Sum of M-small Knots
- Knot exteriors with additive Heegaard genus and Morimoto’s Conjecture
- Knot exteriors with additive Heegaard genus and Morimoto's Conjecture
- Strong cylindricality and the monodromy of bundles
- Manifolds admitting both strongly irreducible and weakly reducible minimal genus Heegaard splittings
Showing 5 of 6 shared publications
Yasushi Yamashita
Nara Women's University (JP)
3 shared publications
- Finite planar emulators for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mo>,</mml:mo><mml:mn>5</mml:mn></mml:mrow></mml:msub><mml:mo>−</mml:mo><mml:mn>4</mml:mn><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> and Fellows’ Conjecture
- The link volume of 3–manifolds
- Cosmetic surgery and the link volume of hyperbolic 3–manifolds
Chaim Goodman-Strauss
University of Arkansas at Fayetteville (US)
3 shared publications
- Simple geodesics on a punctured surface
- Strongly aperiodic subshifts of finite type on hyperbolic groups
- Simple geodesics on a punctured surface
Arnaud de Mesmay
UniLaSalle Amiens (ESIEE-Amiens) (FR)
3 shared publications
- Embeddability in R <sup>3</sup> is NP-hard
- The unbearable hardness of unknotting
- Embeddability in R^3 is NP-hard
Eric Sedgwick
DePaul University (US)
3 shared publications
- Embeddability in R <sup>3</sup> is NP-hard
- The unbearable hardness of unknotting
- Embeddability in R^3 is NP-hard
Martin Tancer
Charles University (CZ)
3 shared publications
- Embeddability in R <sup>3</sup> is NP-hard
- The unbearable hardness of unknotting
- Embeddability in R^3 is NP-hard
Kazuhiro Ichihara
Nihon University (JP)
2 shared publications
- Strong cylindricality and the monodromy of bundles
- Strong cylindricality and the monodromy of bundles
Jair Remigio–Juárez
Universidad Juárez Autónoma de Tabasco (MX)
2 shared publications
- The link volumes of some prism manifolds
- The Link Volumes of some prism manifolds
J Rubinstein
The University of Melbourne (AU)
1 shared publication
- Invariant Heegaard surfaces in manifolds with involutions and the Heegaard genus of double covers
Ruifeng Qiu
Dalian University of Technology (CN)
1 shared publication
- Separating incompressible surfaces and stabilizations of Heegaard splittings
Shicheng Wang
Peking University (CN)
1 shared publication
- Separating incompressible surfaces and stabilizations of Heegaard splittings
Kenneth L. Baker
University of Miami (US)
1 shared publication
- The spectrum of the growth rate of the tunnel number is infinite
David Bruce Cohen
University of Chicago (US)
1 shared publication
- Strongly aperiodic subshifts of finite type on hyperbolic groups
Rachel Lehman
University of Arkansas at Fayetteville
1 shared publication
In database
- A structure theorem for bad 3-orbifolds