3 citations · 5 across the 3 of their papers we have counts for
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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…
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…
Limiting measures of supersingularities
Bodan Arsovski
Let be a prime number and let be an integer. In this article we study the semi-simple reductions modulo of two-dimensional irreducible crystalline -adic Galois…
On the reductions of certain two-dimensional crystalline representations, II
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…
Reduction modulo p of two-dimensional crystalline representations of G_{Q_p} of slope less than three
Bodan Arsovski
We use the p-adic local Langlands correspondence for GL_2(Q_p) to find the reduction modulo p of certain two-dimensional crystalline Galois representations. In particular, we resol…