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Jeffrey Achter
Jeffrey Achter Professor

Office: Weber 205B

Phone: (970) 491-6716

Website: http://www.math.colostate.edu/~achter/

About

Number Theory, Arithmetic Geometry, Mathematical Ecology and Evolution

Publications

  • A functorial approach to regular homomorphismsJeffrey D. Achter, Sebastian Casalaina-Martin, Charles Vial Algebraic Geometry, 1, 2023.
  • A complete answer to Albanese base change for incomplete varietiesJeffrey D. Achter, Sebastian Casalaina-Martin, Charles Vial Annales Henri Lebesgue.
  • Counting abelian varieties over finite fields via Frobenius densitiesJeffrey D. Achter, S. Ali Altug, Luis Garcia, Julia Gordon Algebra and Number Theory.
  • On the image of the second l-adic Bloch mapJeffrey D. Achter, Sebastian Casalaina-Martin, Charles Vial Birkhauser, 2021.
  • The Walker Abel--Jacobi map descendsJeffrey D. Achter, Sebastian Casalaina-Martin, Charles Vial Mathematische Zeitschrift, 2021.
  • Distinguished models of intermediate JacobiansJeffrey D. Achter, Sebastian Casalaina-Martin, Charles Vial Journal of the Insitute of Mathematics of Jussieu, 3, 2020.
  • Arithmetic occult periodsJeffrey D. Achter Algebraic Geometry, 5, 2020.
  • Decomposition of the diagonal, intermediate Jacobians, and universal codimension-2 cycles in positive characteristicJeffrey D. Achter, Sebastian Casalaina-Martin, Charles Vial Asterisque.
  • Hasse--Witt and Cartier--Manin matrices: A warning and a requestJeffrey D. Achter, Everett Howe American Mathematical Society, 2019.
  • Parameter spaces for algebraic equivalenceJeffrey D. Achter, Sebastian Casalaina-Martin, Charles Vial International Mathematics Research Notices, 6, 2019.
  • Normal functions for algebraically trivial cycles are algebraic for arithmetic reasonsJeffrey D. Achter, Sebastian Casalaina-Martin, Charles Vial Forum Math Sigma, e36, 2019.
  • Derived equivalent threefolds, algebraic representatives, and the coniveau filtrationJeffrey D. Achter, Sebastian Casalaina-Martin, Charles Vial Mathematical Proceedings of the Cambridge Philosophical Society, 1, 2019.
  • Appendix to Derived equivalence, Albanese varieties, and the zeta functions of 3-dimensional varietiesJeffrey D. Achter, Sebastian Casalaina-Martin, Katrina Honigs, Charles Vial Proceedings of the American Mathematical Society, 2018.
  • Elliptic curves, random matrices and orbital integralsJeffrey D. Achter, Julia Gordon Pacific J. Math., 1, 2017.
  • Split abelian surfaces over finite fields and reductions of genus-2 curvesJeffrey D. Achter, Everett Howe Algebra Number Theory, 1, 2017.
  • On descending cohomology geometricallyJeffrey D. Achter, Sebastian Casalaina-Martin, Charles Vial Compositio Mathematica, 7, 2017.
  • The distribution of torsion subschemes of abelian varietiesJeffrey D. Achter J. Inst. Math. Jussieu, 4, 2016.
  • A heuristic for the distribution of point counts for random curves over finite fieldsJeffrey D. Achter, Daniel Erman, Kiran S. Kedlaya, Melanie Matchett Wood, David Zureick-Brown Philos. Trans. Roy. Soc. A, 2040, 2015.
  • A note on L-packets and abelian varieties over local fieldsJeffrey D. Achter, Clifton Cunningham Pacific J. Math., 2, 2015.
  • Local heuristics and an exact formula for abelian surfaces over finite fieldsJeffrey D. Achter, Cassandra Williams Canad. Math. Bull., 4, 2015.
  • Superspecial rank of supersingular abelian varieties and JacobiansJeffrey D. Achter, Rachel J. Pries J. Théor. Nombres Bordeaux, 3, 2015.
  • Arithmetic Torelli maps for cubic surfaces and threefoldsJeffrey D. Achter Trans. Amer. Math. Soc., 11, 2014.
  • Generic Newton polygons for curves of given p-rankAlgebraic curves and finite fieldsJeffrey D. Achter, Rachel J. Pries De Gruyter, Berlin, 2014.
  • Irreducibility of Newton strata in GU(1,n-1) Shimura varietiesJeffrey D. Achter Proc. Amer. Math. Soc. Ser. B, 2014.
  • On the abelian fivefolds attached to cubic surfacesJeffrey D. Achter Math. Res. Lett., 5, 2013.
  • Quotients of elliptic curves over finite fieldsJeffrey D. Achter, Siman Wong Int. J. Number Theory, 6, 2013.
  • Explicit bounds for split reductions of simple abelian varietiesJeffrey D. Achter J. Théor. Nombres Bordeaux, 1, 2012.
  • Using network properties to predict disease dynamics on human contactnetworksGregory M. Ames, Dylan B. George, Christian P. Hampson, Andrew R. Kanarek, Cayla D. McBee, Dale R. Lockwood, Jeffrey D. Achter, Colleen T. Webb Proceedings of the Royal Society B – Biological Sciences, 1724, 2011.
  • The p-rank strata of the moduli space of hyperelliptic curvesJeffrey D. Achter, Rachel J. Pries Adv. Math., 5, 2011.
  • Exceptional covers of surfacesJeffrey D. Achter Canad. Math. Bull., 3, 2010.
  • Fiber products and class groups of hyperelliptic curvesJeffrey D. Achter Proc. Amer. Math. Soc., 9, 2010.
  • Local monodromy of p-divisible groupsJeffrey D. Achter, Peter Norman Trans. Amer. Math. Soc., 2, 2010.
  • Split reductions of simple abelian varietiesJeffrey D. Achter Math. Res. Lett., 2, 2009.
  • Appendix to Galois theory of iterated endomorphisms, by Rafe Jones and Jeremy RouseJeffrey D. Achter Proc. London Math. Soc., 3, 2009.
  • Curves of given p-rank with trivial automorphism groupJeffrey D. Achter, Darren Glass, Rachel J. Pries Michigan Math. J., 3, 2008.
  • Monodromy of the p-rank strata of the moduli space of curvesJeffrey D. Achter, Rachel J. Pries Int. Math. Res. Not. IMRN, 15, 2008.
  • On the probability of having rational l-isogeniesJeffrey D. Achter, Daniel Sadornil Arch. Math. (Basel), 6, 2008.
  • Results of Cohen-Lenstra type for quadratic functionfieldsComputational arithmetic geometryJeffrey D. Achter Amer. Math. Soc., Providence, RI, 2008.
  • The integral monodromy of hyperelliptic and trielliptic curvesJeffrey D. Achter, Rachel J. Pries Math. Ann., 1, 2007.
  • Mixed dispersal strategies and response to disturbanceJeffrey D. Achter, Colleen T. Webb Evolutionary Ecology Research, 8, 2006.
  • The distribution of class groups of function fieldsJeffrey D. Achter J. Pure Appl. Algebra, 2, 2006.
  • Pair statistics clarify percolation properties of spatially explicit simulationsJD Achter, Colleen T. Webb Theoretical Population Biology, 2, 2006.
  • Detecting complex multiplicationComputational aspects of algebraic curvesJeffrey D. Achter World Sci. Publ., Hackensack, NJ, 2005.
  • Comment on “Families and clustering in a natural numbers network”Achter Physical Review E, 5, 2, 2004.
  • Hilbert-Siegel moduli spaces in positive characteristicJeffrey D. Achter Rocky Mountain J. Math., 1, 2003.
  • Notes on an analogue of the Fontaine-Mazur conjectureJeffrey D. Achter, Joshua Holden J. Théor. Nombres Bordeaux, 3, 2003.
  • Isogeny classes of Hilbert-Blumenthal abelian varieties over finite fieldsJeffrey D. Achter, Clifton L. R. Cunningham J. Number Theory, 2, 2002.