Research keywords (1):
Moduli spaces, (K-)Stability, Canonical Kahler metrics etc.
Research theme for competitive and other funds (7):
2021 - 2026 Symplectic algebraic geometry and moduli spaces
2021 - 2026 The arithmetic and moduli of hyper-Kaehler varieties via non-archimedean methods
2020 - 2025 格子、保型形式とK3曲面、エンリケス曲面の研究
2018 - 2022 標準ケーラー計量とモジュライ空間
2016 - 2021 New development of algebraic geometry viewed from theoretical physics
2014 - 2017 K-stability, degeneration of algebraic varieties
2009 - 2011 多様体のGIT安定性
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Papers (20):
Yota Maeda, Yuji Odaka. Fano Shimura varieties with mostly branched cusps. Birational Geometry, Kähler-Einstein Metrics and Degenerations: Moscow, Shanghai and Pohang, June-November 2019 (Springer Proceedings in Mathematics & Statistics, 409). 2022. 409
Yuji Odaka. Degenerated Calabi-Yau varieties with infinite components, moduli compactifications, and limit toroidal structures. European Journal of Mathematics. 2022
Yuji Odaka. Polystable Log Calabi-Yau Varieties and Gravitational Instantons. J. Math. Sci. Univ. Tokyo. 2022. 29. 1. 1-50
Yuji Odaka. PL density invariant for type II degenerating K3 surfaces, Moduli compactification and hyperKahler metrics. Nagoya Math Journal. 2021
Yuji Odaka. Tropical Geometric Compactification of Moduli, I - Mg Case. Moduli of K-stable varieties. 2019. 75-101
Collapsing K3 surfaces, tropical geometry and moduli compactifications of Satake, Morgan-Shalen type
Mathematical Society of Japan 2021 ISBN:9784864971041
Lectures and oral presentations (12):
Calabi-Yau/K ̈ahler-Einstein metrics, Collapsing K3 surfaces and Generalized Faltings heights
(Arithmetic algebraic geometry and mathematical physics - in honor of Prof Moriwaki's 60th birthday 2021)
On the recent developments on algebro-geometric compactifications of Moduli of K3 surfaces --- especially after Alexeev-Engel
(Kinosaki algebraic geometry symposium 2021)
Tropical geometric compactification of moduli of surfaces
(Algebraic Geometry and Moduli Theory - Conference in Honor of Shigeru Mukai’s Retirement 2019)
Tropical Geometri Compactification of Moduli
(Second Japanese-European Symposium on Symplectic Varieties and Moduli Spaces 2017)
Tropical Geometric Compactification of Moduli
(Trends in Modern Geometry 2017)