Ashutosh Kumar
Department of Mathematics
National University of Singapore
10 Lower Kent Ridge Road
Singapore, 119076

I work in set theory and its applications to real analysis, measure theory and related areas.


Research statement

PhD Thesis


Avoiding rational distances, Real Analysis Exchange, Vol. 38, No. 2, 2012/2013, 493-498

Induced ideals in Cohen and random extensions, with K. Kunen, Topology and its Applications, Vol. 174, 2014, 81-87

Avoiding equal distances, with S. Shelah, Fundamenta Mathematicae 236 (2017) , 263-267

On a question about families of entire functions, with S. Shelah, Fundamenta Mathematicae 239 (2017), 279-288

Transversal of full outer measure, with S. Shelah, Advances in Mathematics, Vol. 321 (2017), 475-485

Clubs on quasi measurable cardinals, with S. Shelah, Mathematical Logic Quarterly, Vol. 64 Issue 1-2 (2018), 44-48

Saturated null and meager ideal, with S. Shelah, Transactions of the AMS, To appear

RCM, RVC revisited: Clubs and Lusin sets, with S. Shelah, Submitted

On possible restrictions of the null ideal, with S. Shelah, Submitted

On some variants of the club principle, with S. Shelah, Submitted


Remark on transversals

Product of metric outer measures

On a theorem of Gitik and Shelah

On a question of Komjath