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Dive into the research topics where Jeffrey D. Achter is active.

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Featured researches published by Jeffrey D. Achter.


Proceedings of the Royal Society of London B: Biological Sciences | 2011

Using network properties to predict disease dynamics on human contact networks.

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

The distribution of class groups of function fields

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

The integral monodromy of hyperelliptic and trielliptic curves

Jeffrey D. Achter; Rachel Pries

We compute the


International Mathematics Research Notices | 2008

Monodromy of the p-Rank Strata of the Moduli Space of Curves

Jeffrey D. Achter; Rachel Pries


Mathematical Research Letters | 2009

Split reductions of simple abelian varieties

Jeffrey D. Achter

\mathbb{Z}/\ell


Advances in Mathematics | 2011

The p-rank strata of the moduli space of hyperelliptic curves

Jeffrey D. Achter; Rachel Pries


Compositio Mathematica | 2017

ON DESCENDING COHOMOLOGY GEOMETRICALLY

Jeffrey D. Achter; Sebastian Casalaina-Martin; Charles Vial

and


Transactions of the American Mathematical Society | 2014

Arithmetic Torelli maps for cubic surfaces and threefolds

Jeffrey D. Achter


Philosophical Transactions of the Royal Society A | 2015

A heuristic for the distribution of point counts for random curves over a finite field

Jeffrey D. Achter; Daniel Erman; Kiran S. Kedlaya; Melanie Matchett Wood; David Zureick-Brown

\mathbb{Z}_{\ell}


Transactions of the American Mathematical Society | 2009

LOCAL MONODROMY OF p-DIVISIBLE GROUPS

Jeffrey D. Achter; Peter Norman

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Rachel Pries

Colorado State University

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Charles Vial

University of Cambridge

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Colleen T. Webb

Colorado State University

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Everett W. Howe

California Institute of Technology

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Andrew R. Kanarek

National Institute for Mathematical and Biological Synthesis

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Daniel Erman

University of Wisconsin-Madison

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