Serhii Avvakumov
Wagner Group
15 Publications
2021 | Published | Journal Article | IST-REx-ID: 11446
Vanishing of all equivariant obstructions and the mapping degree
S. Avvakumov, S. Kudrya, Discrete & Computational Geometry 66 (2021) 1202–1216.
[Preprint]
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| arXiv
S. Avvakumov, S. Kudrya, Discrete & Computational Geometry 66 (2021) 1202–1216.
2021 | Published | Journal Article | IST-REx-ID: 10220 |

Eliminating higher-multiplicity intersections. III. Codimension 2
S. Avvakumov, I. Mabillard, A.B. Skopenkov, U. Wagner, Israel Journal of Mathematics 245 (2021) 501–534.
[Preprint]
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| arXiv
S. Avvakumov, I. Mabillard, A.B. Skopenkov, U. Wagner, Israel Journal of Mathematics 245 (2021) 501–534.
2020 | Published | Conference Paper | IST-REx-ID: 7991 |

Homotopic curve shortening and the affine curve-shortening flow
S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
[Published Version]
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S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 | Published | Thesis | IST-REx-ID: 8156 |

Topological methods in geometry and discrete mathematics
S. Avvakumov, Topological Methods in Geometry and Discrete Mathematics, Institute of Science and Technology Austria, 2020.
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S. Avvakumov, Topological Methods in Geometry and Discrete Mathematics, Institute of Science and Technology Austria, 2020.
2020 | Published | Journal Article | IST-REx-ID: 9308 |

Eliminating higher-multiplicity intersections, III. Codimension 2
S. Avvakumov, U. Wagner, I. Mabillard, A.B. Skopenkov, Russian Mathematical Surveys 75 (2020) 1156–1158.
[Preprint]
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| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
S. Avvakumov, U. Wagner, I. Mabillard, A.B. Skopenkov, Russian Mathematical Surveys 75 (2020) 1156–1158.
2019 | Submitted | Preprint | IST-REx-ID: 8182 |

Vanishing of all equivariant obstructions and the mapping degree
S. Avvakumov, S. Kudrya, ArXiv (n.d.).
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
S. Avvakumov, S. Kudrya, ArXiv (n.d.).
2019 | Submitted | Preprint | IST-REx-ID: 8184 |

Stronger counterexamples to the topological Tverberg conjecture
S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).
[Preprint]
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| arXiv
S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).
2019 | Submitted | Preprint | IST-REx-ID: 8185 |

Envy-free division using mapping degree
S. Avvakumov, R. Karasev, ArXiv (n.d.).
[Preprint]
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| arXiv
S. Avvakumov, R. Karasev, ArXiv (n.d.).
2019 | Published | Journal Article | IST-REx-ID: 6419 |

An experimental assay of the interactions of amino acids from orthologous sequences shaping a complex fitness landscape
V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, PLoS Genetics 15 (2019).
[Published Version]
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V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, PLoS Genetics 15 (2019).
2019 | Research Data Reference | IST-REx-ID: 9789
Multiple alignment of His3 orthologues
V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, (2019).
[Published Version]
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V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, (2019).
2019 | Research Data Reference | IST-REx-ID: 9790
A statistical summary of segment libraries and sequencing results
V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, (2019).
[Published Version]
View
| Files available
| DOI
V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, (2019).
2018 | Published | Journal Article | IST-REx-ID: 6355 |

Any cyclic quadrilateral can be inscribed in any closed convex smooth curve
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
2018 | Published | Preprint | IST-REx-ID: 75 |

Convex fair partitions into arbitrary number of pieces
A. Akopyan, S. Avvakumov, R. Karasev, (2018).
[Preprint]
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| Files available
| DOI
| Download Preprint (ext.)
| arXiv
A. Akopyan, S. Avvakumov, R. Karasev, (2018).
2016 | Published | Journal Article | IST-REx-ID: 1522 |

The classification of certain linked 3-manifolds in 6-space
S. Avvakumov, Moscow Mathematical Journal 16 (2016) 1–25.
[Preprint]
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| DOI
| Download Preprint (ext.)
| arXiv
S. Avvakumov, Moscow Mathematical Journal 16 (2016) 1–25.
2015 | Submitted | Preprint | IST-REx-ID: 8183 |

Eliminating higher-multiplicity intersections, III. Codimension 2
S. Avvakumov, I. Mabillard, A. Skopenkov, U. Wagner, ArXiv (n.d.).
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
S. Avvakumov, I. Mabillard, A. Skopenkov, U. Wagner, ArXiv (n.d.).
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15 Publications
2021 | Published | Journal Article | IST-REx-ID: 11446
Vanishing of all equivariant obstructions and the mapping degree
S. Avvakumov, S. Kudrya, Discrete & Computational Geometry 66 (2021) 1202–1216.
[Preprint]
View
| Files available
| DOI
| arXiv
S. Avvakumov, S. Kudrya, Discrete & Computational Geometry 66 (2021) 1202–1216.
2021 | Published | Journal Article | IST-REx-ID: 10220 |

Eliminating higher-multiplicity intersections. III. Codimension 2
S. Avvakumov, I. Mabillard, A.B. Skopenkov, U. Wagner, Israel Journal of Mathematics 245 (2021) 501–534.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
S. Avvakumov, I. Mabillard, A.B. Skopenkov, U. Wagner, Israel Journal of Mathematics 245 (2021) 501–534.
2020 | Published | Conference Paper | IST-REx-ID: 7991 |

Homotopic curve shortening and the affine curve-shortening flow
S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
[Published Version]
View
| Files available
| DOI
| arXiv
S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
2020 | Published | Thesis | IST-REx-ID: 8156 |

Topological methods in geometry and discrete mathematics
S. Avvakumov, Topological Methods in Geometry and Discrete Mathematics, Institute of Science and Technology Austria, 2020.
[Published Version]
View
| Files available
| DOI
S. Avvakumov, Topological Methods in Geometry and Discrete Mathematics, Institute of Science and Technology Austria, 2020.
2020 | Published | Journal Article | IST-REx-ID: 9308 |

Eliminating higher-multiplicity intersections, III. Codimension 2
S. Avvakumov, U. Wagner, I. Mabillard, A.B. Skopenkov, Russian Mathematical Surveys 75 (2020) 1156–1158.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
S. Avvakumov, U. Wagner, I. Mabillard, A.B. Skopenkov, Russian Mathematical Surveys 75 (2020) 1156–1158.
2019 | Submitted | Preprint | IST-REx-ID: 8182 |

Vanishing of all equivariant obstructions and the mapping degree
S. Avvakumov, S. Kudrya, ArXiv (n.d.).
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
S. Avvakumov, S. Kudrya, ArXiv (n.d.).
2019 | Submitted | Preprint | IST-REx-ID: 8184 |

Stronger counterexamples to the topological Tverberg conjecture
S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).
[Preprint]
View
| Files available
| Download Preprint (ext.)
| WoS
| arXiv
S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).
2019 | Submitted | Preprint | IST-REx-ID: 8185 |

Envy-free division using mapping degree
S. Avvakumov, R. Karasev, ArXiv (n.d.).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
S. Avvakumov, R. Karasev, ArXiv (n.d.).
2019 | Published | Journal Article | IST-REx-ID: 6419 |

An experimental assay of the interactions of amino acids from orthologous sequences shaping a complex fitness landscape
V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, PLoS Genetics 15 (2019).
[Published Version]
View
| Files available
| DOI
| WoS
V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, PLoS Genetics 15 (2019).
2019 | Research Data Reference | IST-REx-ID: 9789
Multiple alignment of His3 orthologues
V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, (2019).
[Published Version]
View
| Files available
| DOI
V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, (2019).
2019 | Research Data Reference | IST-REx-ID: 9790
A statistical summary of segment libraries and sequencing results
V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, (2019).
[Published Version]
View
| Files available
| DOI
V. Pokusaeva, D.R. Usmanova, E.V. Putintseva, L. Espinar, K. Sarkisyan, A.S. Mishin, N.S. Bogatyreva, D. Ivankov, A. Akopyan, S. Avvakumov, I.S. Povolotskaya, G.J. Filion, L.B. Carey, F. Kondrashov, (2019).
2018 | Published | Journal Article | IST-REx-ID: 6355 |

Any cyclic quadrilateral can be inscribed in any closed convex smooth curve
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
2018 | Published | Preprint | IST-REx-ID: 75 |

Convex fair partitions into arbitrary number of pieces
A. Akopyan, S. Avvakumov, R. Karasev, (2018).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
A. Akopyan, S. Avvakumov, R. Karasev, (2018).
2016 | Published | Journal Article | IST-REx-ID: 1522 |

The classification of certain linked 3-manifolds in 6-space
S. Avvakumov, Moscow Mathematical Journal 16 (2016) 1–25.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
S. Avvakumov, Moscow Mathematical Journal 16 (2016) 1–25.
2015 | Submitted | Preprint | IST-REx-ID: 8183 |

Eliminating higher-multiplicity intersections, III. Codimension 2
S. Avvakumov, I. Mabillard, A. Skopenkov, U. Wagner, ArXiv (n.d.).
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
S. Avvakumov, I. Mabillard, A. Skopenkov, U. Wagner, ArXiv (n.d.).