Jeffrey D. Achter
Colorado State University
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Publication
Featured researches published by Jeffrey D. Achter.
Proceedings of the Royal Society of London B: Biological Sciences | 2011
Gregory M. Ames; Dylan B. George; Christian P. Hampson; Andrew R. Kanarek; Cayla D. McBee; Dale R. Lockwood; Jeffrey D. Achter; Colleen T. Webb
Recent studies have increasingly turned to graph theory to model more realistic contact structures that characterize disease spread. Because of the computational demands of these methods, many researchers have sought to use measures of network structure to modify analytically tractable differential equation models. Several of these studies have focused on the degree distribution of the contact network as the basis for their modifications. We show that although degree distribution is sufficient to predict disease behaviour on very sparse or very dense human contact networks, for intermediate density networks we must include information on clustering and path length to accurately predict disease behaviour. Using these three metrics, we were able to explain more than 98 per cent of the variation in endemic disease levels in our stochastic simulations.
Journal of Pure and Applied Algebra | 2006
Jeffrey D. Achter
Abstract For any sufficiently general family of curves over a finite field F q and any elementary abelian l -group H with l relatively prime to q, we give an explicit formula for the proportion of curves C for which Jac ( C ) [ l ] ( F q ) ≅ H . In doing so, we prove a conjecture of Friedman and Washington.
Mathematische Annalen | 2007
Jeffrey D. Achter; Rachel Pries
We compute the
International Mathematics Research Notices | 2008
Jeffrey D. Achter; Rachel Pries
Mathematical Research Letters | 2009
Jeffrey D. Achter
\mathbb{Z}/\ell
Advances in Mathematics | 2011
Jeffrey D. Achter; Rachel Pries
Compositio Mathematica | 2017
Jeffrey D. Achter; Sebastian Casalaina-Martin; Charles Vial
and
Transactions of the American Mathematical Society | 2014
Jeffrey D. Achter
Philosophical Transactions of the Royal Society A | 2015
Jeffrey D. Achter; Daniel Erman; Kiran S. Kedlaya; Melanie Matchett Wood; David Zureick-Brown
\mathbb{Z}_{\ell}
Transactions of the American Mathematical Society | 2009
Jeffrey D. Achter; Peter Norman
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National Institute for Mathematical and Biological Synthesis
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