activity
20152021
most citedReduction modulo p of two-dimensional crystalline representations of G_{Q_p} of slope less than three

3 citations · 6 across the 6 of their papers we have counts for

collaborators

7 papers

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…

math.NT2019★ 1 cited

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…

math.NT2018

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…

math.NT2017

On the reductions of certain two-dimensional crystalline representations

Bodan Arsovski

The question of computing the reductions modulo of two-dimensional crystalline -adic Galois representations has been studied extensively, and partial progress has been made…

math.NT2017

On the reductions of certain two-dimensional crystabelline representations

Bodan Arsovski

Crystabelline representations are representations of the absolute Galois group over that become crystalline on for some abelian extension…