The McMullen-Sullivan holomorphic motion for topologically conjugate, complex polynomials with connected Julia set follows level sets of the Böttcher coordinate. The Buzzard-Verma holomorphic motion for hyperbolic, unstably connected, polynomial diffeomorphisms of C follows level sets of the Bedford-Smillie solenoid map. It follows that this solenoid map is a conjugacy for those Hénon maps that...

Let p > 2 be prime. We prove the weight part of Serre’s conjecture for rank two unitary groups for mod p representations in the unramified case (that is, the Buzzard–Diamond–Jarvis conjecture for unitary groups), by proving that any Serre weight which occurs is a predicted weight. Our methods are purely local, using the theory of (φ, Ĝ)-modules to determine the possible reductions of certain tw...

We investigate certain finiteness questions that arise naturally when studying approximations modulo prime powers of p-adic Galois representations coming from modular forms. We link these finiteness statements with a question by K. Buzzard concerning p-adic coefficient fields of Hecke eigenforms. Specifically, we conjecture that for fixed N , m, and prime p with p not dividing N , there is only...

Low-intensive agricultural areas of Romania sustain high species diversity. Together with natural habitats, these are very important for European biodiversity. The ecosystem´s health is reflected in the predator status because their position at top trophic networks. Common Buzzard (Buteo buteo) most common bird prey Europe. During first survey census conducted Eastern (2011–2012 breeding season...

There are serious concerns about the ecological degradation caused by modern agriculture and its impact on top-chains predators. But, scientists still disagree how to assess which winners losers of Anthropocene biodiversity changes. In this field research, many studies have been carried out passerine birds but long-term ones, especially raptors, missing. Our study reports a twelve-year survey t...