Aquatic and terrestrial ecosystems are tightly linked through the fluxes of organisms and matter. However, aquatic and terrestrial ecologists have mainly studied these ecosystems separately, a “splendid isolation” historically fostered by disciplinary boundaries between institutes and funding schemes. Here, we synthesize the progress made in joint aquatic and terrestrial research and sugges…

We describe the spectrum of certain integration operators acting on generalized Fock spaces.

We compute the algebraic K-theory of the non-commutative ring kx1, . . . , xn/(ma) when k is a perfect field of positive characteristic and m = (x1, . . . , xn). We express the answer in terms of the truncation poset Witt vectors developed in Angeltveit [‘Witt vectors and truncation posets’, Preprint, 2014, arXiv:1409.4156].

Since 1997, the National Science Foundation’s (NSF) efforts to promote the Broader Impacts Criterion (BIC) have yielded mixed results. Here, we evaluate proposals to the Division of Environmental Biology (DEB) from submission through the reporting stage to assess DEB’s implementation of the BIC. Our results suggest that within DEB, past principal investigators have tended to underreport bro…

Let r > 0 be an integer. We present a sufficient condition for an abelian variety A over a number field k to have infinitely many quadratic twists of rank at least r, in terms of the density properties of rational points on the Kummer variety Km(Ar) of the r-fold product of A with itself. One consequence of our results is the following. Fix an abelian variety A over k, and suppose that for so…

Let G be a connected reductive group with connected center defined over Fq, with Frobenius morphism F. We parameterize all of the real-valued irreducible complex characters of GF using the Jordan decomposition of characters.

How effectively communities of scientists come together and cooperate is crucial both to the quality of research outputs and to the extent to which such outputs integrate insights, data, and methods from a variety of fields, laboratories, and locations around the globe. This essay is focused on the ensemble of material and social conditions that makes it possible for a short-term collaboration,…

Cells are the smallest known pieces of biology that are capable of independent reproduction and are therefore the simplest units that can evolve by conventional natural selection. This is problematic because even the simplest self-replicating cell-like entities seem to be too complicated to arise without the guiding hand of selection. To solve this conundrum, I argue that selection began before…

Tahun Terbit

2010

Tahun Terbit

2010