mathematical research areas
Martin’s Maximum (MM), Proper Forcing Axiom (PFA), forcing with models as side conditions, iterated forcing, trees.
other interests
Inner model theory, Axioms of Determinacy, iterated ultrapower constructions.
publications
Mohammadpour, R. (2017). On certain maximality principles. Bull. Iranian Math. Soc., 43(5), 1259–1264.
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publisher
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arXiv )
Golshani, M., & Mohammadpour, R. (2018). The tree property at double successors of singular cardinals of uncountable cofinality. Ann. Pure Appl. Logic, 169(2), 164–175.
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publisher
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arXiv )
Mohammadpour, R., & Veličković, B. (2021). Guessing models and the approachability ideal. J. Math. Log., 21(2), Paper No. 2150003, 35.
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publisher
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arXiv )
Mohammadpour, R. (2021). Almost strong properness. Proc. Amer. Math. Soc., 149(12), 5359–5365.
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publisher
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arXiv )
Mohammadpour, R. (2022). A Road To Compactness Through Guessing Models.
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arXiv )
Mohammadpour, R. (2022). Indestructible Guessing Models And The Approximation Property (Recent Developments in Set Theory of the Reals). RIMS Kokyuroku 数理解析研究所講究録, 2213.
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publisher
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arXiv )
Mohammadpour, R. (2023). New methods in forcing iteration and applications [thesis abstract]. Bull. Symb. Log., 29(2), 300–302.
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publisher
)
Mohammadpour, R. (2023). Specialising trees with small approximations I. J. Symb. Log., 88(2), 640–663.
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publisher
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arXiv )
Golshani, M., & Mohammadpour, R. (2023). Cardinal Collapsing and Product Forcing (New Developments in Forcing and Cardinal Arithmetic). RIMS Kokyuroku 数理解析研究所講究録, 2261.
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publisher
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arXiv )
Eskew, M., & Mohammadpour, R. (2026). Todorcevic’s Problem on Rado’s Conjecture.
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arXiv )
Mohammadpour, R., Rajala, O., & Thei, S. (2026). A Note on a Theorem of Apter.
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arXiv )
Mohammadpour, R., & Velickovic, B. (2026). On Indestructible Strongly Guessing Models. The Journal of Symbolic Logic, 91(2), 864–890. https://doi.org/10.1017/jsl.2025.1
