Igor Krylov

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

Employment

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, accepted to Duke Mathematical Journal (with H. Abban and M. Fedorchuk), 2021

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:

Birational rigidity of orbifold degree 2 del Pezzo fibrations (with H. Abban), 2017

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


Grants

2016 HIMR Focused Research Grant, 4300 pounds


Korea Institute for Advanced Study
85 Hoegiro, Dongdaemun-gu
Seoul 02455
Republic of Korea
Curriculum Vitae
ikrylov@kias.re.kr
Igor@Krylov.su
+82 10 2846 8752

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