The Self-Sufficiency Standard for Illinois

An introduction to the Self-Sufficiency standard and how it differs from the federal poverty measure

Twisting of Siegel paramodular forms

Let $S_k(\Gamma^{\mathrm{para}}(N))$ be the space of Siegel paramodular forms of level $N$ and weight $k$. Let $p\nmid N$ and let $\chi$ be a nontrivial quadratic Dirichlet character mod $p$. Based on our previous work, we define a linear twisting map $\mathcal{T}_\chi:S_k(\Gamma^{\mathrm{para}}(N))\rightarrow S_k(\Gamma^{\mathrm{para}}(Np^4))$. We calculate an explicit expression for this twist and give the commutation relations of this map with the Hecke operators and Atkin-Lehner involution for primes $\ell\neq p$.Comment: 64 pages. In version 2, the paper has been shortened significantly and lengthy, technical proofs given in a separate appendix. In version 3, two typos are corrected. In version 4, we have included the full details of the proof of the local twisting theorem in the paper and improved the results with the L-function theore

Appendix to "Twisting of Siegel paramodular forms"

In this appendix we present an expanded version of Section 4 of our paper arXiv:1404.4596, including the proofs of all of the technical lemmas.Comment: 60 pages. In version 2, two typos have been corrected. The appendix has been incorporated into the main body of the paper and is therefore withdraw

Workplace personal assistants : what do we need to know?

Blog post written for Revaluing Care Research Network Blog