Rchr
J-GLOBAL ID：201901001324120493
Update date: Jun. 09, 2024
Nakajima Yusuke
Nakajima Yusuke
Affiliation and department：
Job title：
Associate Professor
Homepage URL (1)：
https://sites.google.com/view/nakajima-math
Research field (1)：
Algebra
Research theme for competitive and other funds (4)：
- 2024 - 2028 Studies on toric singularities and their resolutions of singularities using non-commutative algebras
- 2020 - 2024 McKay correspondence and its expansion from the viewpoint of cluster theory
- 2017 - 2021 Studies on singularities using non-commutative resolutions
- 2014 - 2016 Invariant theory from the viewpoint of commutative algebra in positive characteristic
Papers (14)：
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Akihiro Higashitani, Yusuke Nakajima. Combinatorial mutations of Newton-Okounkov polytopes arising from plabic graphs. McKay Correspondence, Mutation and Related Topics, Advanced Studies in Pure Mathematics. 2023. 88. 227-278
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Jack Jeffries, Yusuke Nakajima, Ilya Smirnov, Kei-ichi Watanabe, Ken-ichi Yoshida. Lower bounds on Hilbert-Kunz multiplicities and maximal F-signatures. Mathematical Proceedings of the Cambridge Philosophical Society. 2023. 174. 2. 247-271
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Yusuke Nakajima. On 2-representation infinite algebras arising from dimer models. The Quarterly Journal of Mathematics. 2022. 73. 4. 1517-1553
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Akihiro Higashitani, Yusuke Nakajima. Deformations of Dimer Models. Symmetry, Integrability and Geometry: Methods and Applications. 2022. 18. 030
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Akihiro Higashitani, Yusuke Nakajima. Generalized F-signatures of Hibi rings. Illinois Journal of Mathematics. 2021. 65. 1. 97-120
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MISC (14)：
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Yusuke Nakajima. Wall-and-chamber structures of stability parameters for some dimer quivers. The proceedings of the 55th Symposium on Ring Theory and Representation Theory. 2024. 58-65
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Yusuke Nakajima. Variations of GIT quotients and dimer combinatorics for toric compound Du Val singularities. arXiv:2309.16112. 2023
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Yusuke Nakajima. Finite dimensional algebras arising from dimer models and their derived equivalences. The proceedings of the 51st Symposium on Ring Theory and Representation Theory. 2019. 104-109
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Yusuke Nakajima. Mutations of splitting maximal modifying modules arising from dimer models,. The proceedings of the 49th Symposium on Ring Theory and Representation Theory. 2017. 115-122
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Yusuke Nakajima. Conic divisorial ideals of Hibi rings and their applications. The proceedings of the 62nd Algebra Symposium. 2017
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Lectures and oral presentations (67)：
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New examples of toric NCCRs arising from conic modules
(2024)
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Mutations and wall-crossings for dimer models associated to toric cDV singularities
(Advances in Cluster Algebras 2024 2024)
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Wall-and-chamber structures for algebras associated to toric cDV singularities
(2024)
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Projective crepant resolutions of toric cDV singularities and dimer combinatorics
(McKay correspondence, Tilting theory and related topics 2023)
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Dimer models in representation theory (Gong show talk)
(Silting in Representation Theory, Singularities, and Noncommutative Geometry 2023)
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Education (3)：
- 2012 - 2015 Nagoya University Graduate School of Mathematics Doctor's Programs
- 2006 - 2008 Nagoya University Graduate School of Mathematics Master's Programs
- 2002 - 2006 Nagoya University School of Science Department of Mathematics
Professional career (1)：
- Ph.D. (Nagoya University)
Work history (6)：
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
