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math.NT2021★ 1 cited
The -adic Kakeya conjecture
Bodan Arsovski
We prove that all bounded subsets of containing a line segment of unit length in every direction have Hausdorff and Minkowski dimension . This is the analogue o…
math.NT2021★ 1 cited
On the reductions of certain two-dimensional crystalline representations, III
Bodan Arsovski
A conjecture of Breuil, Buzzard, and Emerton says that the slopes of certain reducible -adic Galois representations must be integers. In previous work we showed this conjecture…