Igor Krylov

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PhD in Mathematics
Algebraic Geometer
Latest Activity Talks in seminars & conferences Teaching Experience

Employment

Senior Research Fellow in IBS Center for Geometry and Physics

Aug 2022 – Aug 2025

Research Fellow in Korea Institute for Advanced Study

Aug 2018 – July 2022

Postdoc in University of Bayreuth

Sep 2017 – July 2018

Guest researcher at Max Planck Institute of Mathematics

Jan 2017 – Aug 2017

Research interests
Birational Geometry, Rationality Problems, Semiorthogonal Decomposition, Cremona Group, Existence of Good models


Papers:

Stability of fibrations over one-dimensional bases (with H. Abban and M. Fedorchuk), Duke Math. J. 171(12): 2461-2518, 2022
arxiv

Birational rigidity of orbifold degree 2 del Pezzo fibrations (with H. Abban), 2022
Nagoya Mathematical Journal, Volume 248, pp. 888 – 921, 2022

arxiv

Stable rationality of del Pezzo fibrations of low degree over projective spaces (with T. Okada), International Mathematics Research Notices, 2020
arxiv

Birational geometry of del Pezzo fibrations with terminal quotient singularities, J. Lond. Math. Soc., (2) 97, no. 2, 222-246, 2020
arxiv

Rationally connected non Fano type varieties, Eur. J. Math., no. 1, 335-355, 2018
arxiv

Preprints:

On maximally non-factorial nodal Fano threefolds (with I.~Cheltsov, J. Martinez-Garcia, and E.~Shinder), 2023

2n^2-inequality for cA_1 points and applications to birational rigidity (with T. Okada, E. Paemurru, and J. Park), 2022

Families of embeddings of the alternating group of rank 5 into the Cremona group, 2020


Grants

2016 HIMR Focused Research Grant, 4300 pounds


IBS Center for Geometry and Physics
Institute for Basic Science
79 Jigok-ro127beon-gil, Nam-gu
Pohang, Gyeongbuk, 37973
Republic of Korea
Curriculum Vitae
ikrylov@ibs.re.kr
Igor@Krylov.su
+82 10 2846 8752

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