I am a mathlogician* and work as a P.I. in the Set Theory group at the Technical University of Vienna. I obtained my PhD in mathematics at the Institut de mathématiques de Jussieu - Paris Rive Gauche under the supervision of Boban Veličković. Prior to my PhD, I spent a year as a research assistant at the Institute for Research in Fundamental Sciences (IPM) under the supervision of Mohammad Golshani.
I collaborate as a lecturer with the "Lecturers without Borders".
*A mathlogician is a mathematician whose field of expertise is mathematical logic.
Research interests:
Forcing axioms, proper forcing, and forcing with models as side conditions.
Papers:
On certain maximality principles, Bull. Iranian Math. Soc. 43 (2017), no. 5, 1259–1264. (arXiv, Journal)
(with Mohammad Golshani) The tree property at double successors of singular cardinals of uncountable cofinality, Ann. Pure Appl. Logic 169 (2018), no. 2, 164–175. (arXiv, Journal)
(with Boban Veličković) Guessing models and the approachability ideal, Journal of Mathematical Logic, Vol. 21, No. 02, 2150003 (2021). (arXiv, Journal)
Almost Strong Properness, Proc. Amer. Math. Soc. 149 (2021), no. 12, 5359–5365. (arXiv, Journal)
Specializing Trees with Small Approximations I, The Journal of Symbolic Logic, 1-24. doi:10.1017/jsl.2022.24. (arXiv, Journal)
Indestructible Guessing Models And The Approximation Property, RIMS Kôkyûroku, No.2213. (arXiv, Proceedings)
(with Mohammad Golshani) Cardinal Collapsing and Product Forcing, RIMS Kôkyûroku, NO.2261 (arXiv, Proceedings)
(with Boban Veličković) On Indestructible Strongly Guessing Models (arXiv)
New methods in forcing iteration and applications, the Bulletin of Symbolic Logic, 29(2), 300-302. doi:10.1017/bsl.2023.7 (Journal)
Notes:
A Proof Of The Delta-System Lemma Using Elementary Submodels (PDF)
Finite Support Product of Strongly Proper Forcings (PDF)
Contact:
Email: RAHMANMOHAMMADPOUR@GMAIL.COM
Address: DMG/Algebra, TU Wien, Wiedner Hauptstrasse 8-10/104, 1040 Wien, Austria
Office: DA05A15