Ashutosh Kumar
Department of Mathematics & Statistics
Indian Institute of Technology Kanpur
Kanpur, UP 208016, India
Phone: (+91) 512 259 2104
email: krashu 'at' iitk 'dot' ac 'dot' in

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

Papers:

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 371 (2019), 4475-4491

On possible restrictions of the null ideal, with S. Shelah, Journal of Mathematical Logic 19 (2019), No.2, 1950008, 1-14

On some variants of the club principle, with S. Shelah, European Journal of Mathematics 7 (2021), 1-27

Separating families and order dimension of Turing degrees, with D. Raghavan, Annals of Pure and Applied Logic, Vol. 172 Issue 5 (2021), 102911

A note on a question of Komjath, RIMS Proceedings, To appear

Large Turing independent sets, with S. Shelah, Proceedings of the AMS, To appear

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

Weak projections of the null ideal, with S. Shelah, Submitted

Supersaturated ideals, with D. Raghavan, Submitted

Notes:

Suborders of Turing degrees

Remark on transversals

Product of metric outer measures

On a theorem of Gitik and Shelah