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math.NT2026
Geometric lifting and Freiman's theorem in compact connected abelian groups
Yifan Jing, Yuchen Meng
We develop a geometric lifting method for inverse sumset problems in compact connected abelian groups. The first result is an analogue of Freiman's theorem, that is every co…
math.NT2026
A structure theorem for sets with doubling
Yifan Jing, Akshat Mudgal
We prove a structural result for sets of integers with doubling at most , with sufficiently small. This generalises earlier work of Eberhard--Green--Manners which deal…
math.NT2022
Finding large additive and multiplicative Sidon sets in sets of integers
Yifan Jing, Akshat Mudgal
Given , we write a set to be a set if for any , the number of solutions to the additive equation $n = x_…