Research keywords (6):
Descriptive set theory
, Large cardinals
, Inner model theory
, Infinite games
, Generic absoluteness
, Set theory
Research theme for competitive and other funds (4):
2019 - 2023 Large cardinals, determinacy, and the analysis of the Chang+ model
2019 - 2022 On large cardinal properties of the least uncoutable cardinal
2015 - 2018 Goedel's program, large cardinal axioms, and forcing axioms
2014 - 2016 内部モデルとブール値高階論理・Ω論理
Papers (14):
Daisuke Ikegami, Nam Trang. Preservation of AD via forcings. Preprint. Accepted in Israel Journal of Mathematics. 2023
Daisuke Ikegami, Philipp Schlicht. Forcing over choiceless models and generic absoluteness. 2022
Daisuke Ikegami. Determinacy and regularity properties for idealized forcings. Mathematical Logic Quarterly. 2022. 68. 3. 310-317
Daisuke Ikegami, Nam Trang. On Supercompactness of $\omega _1. Springer Proceedings in Mathematics and Statistics 369. 2022. 27-45
Daisuke Ikegami, Philipp Schlicht, Hisao Tanaka. Borel subsets of the real line and continuous reducibility. Fundamenta Mathematicae. 2019. 244. 3. 209-241