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 other areas of mathematics.
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 No. 2 (2019), 1950008
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, Vol. 2198 (2022), 1-10
Large Turing independent sets, with S. Shelah, Proceedings of the AMS, Vol. 151 (2023), 355-367
Supersaturated ideals, with D. Raghavan, Topology and its Applications, Vol. 323 (2023), 108289
Remarks on some cardinal invariants and partition relations, with S. Shelah, Acta Math. Hungarica, 173, No. 2 (2024), 510-524
Turing independence and Baire category, with S. Shelah, Journal of Mathematical Logic 25 No. 1 (2025), 2450008
Set theory and Turing degrees, Zbornik Radova 22(30), Selected topics in combinatorial analysis Part II (2025), 357-373
RCM, RVC revisited: Clubs and Lusin sets, with S. Shelah, Submitted
Weak projections of the null ideal, with S. Shelah, Submitted
Ultrafilters and Turing independence, with S. Shelah, Submitted
Notes:
Suborders of Turing degrees
Remark on transversals
Product of metric outer measures
On a theorem of Gitik and Shelah