Everett W. Howe

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Abelian Surfaces over Finite Fields as Jacobians

Daniel Maisner, Enric Nart, Everett W. Howe, 2002, Exp. Math..

Locally recoverable codes from algebraic curves and surfaces pdf

Gretchen L. Matthews, Alexander Barg, Everett W. Howe, 2017, ArXiv.

Curves of medium genus with many points

Everett W. Howe, 2016, Finite Fields Their Appl..

Arithmetic Geometry: Computation and Applications

Everett W. Howe, Yves Aubry, Christophe Ritzenthaler, 2019, Contemporary Mathematics.

Preface

Everett W. Howe, Kiran S. Kedlaya, K. Kedlaya, 2005, Parallel Process. Lett..

Higher-order Carmichael numbers

Everett W. Howe, 1998, Math. Comput..

Algebraic Geometry for Coding Theory and Cryptography

Kristin E. Lauter, Everett W. Howe, Judy L. Walker, 2017 .

Doubly isogenous genus-2 curves with $D_4$-action

Everett W. Howe, Rachel Pries, Vishal Arul, 2021, 2102.11419.

Deducing information about curves over finite fields from their Weil polynomials

Everett W. Howe, 2021, 2110.04221.

Powers of 3 with few nonzero bits and a conjecture of Erd\H{o}s

Vassil S. Dimitrov, Everett W. Howe, 2021 .

Every positive integer is the order of an ordinary abelian variety over ${\mathbb F}_2$

Everett W. Howe, Kiran S. Kedlaya, K. Kedlaya, 2021, 2103.16530.

On the group orders of elliptic curves over finite fields

Everett W. Howe, 2001, math/0110262.

Curves of every genus with many points, II: Asymptotically good families

Everett W. Howe, Michael E. Zieve, B. Poonen, 2002, Duke Mathematical Journal.

A new proof of Erdo¨s's theorem on monotone

Everett W. Howe, 1986 .

Principally polarized ordinary abelian varieties over finite fields

Everett W. Howe, 1995 .

Large torsion subgroups of split Jacobians of curves of genus two or three

Everett W. Howe, Bjorn Poonen, Franck Leprevost, 1998 .

Principally polarized squares of elliptic curves with field of moduli equal to ℚ

Everett W. Howe, C. Ritzenthaler, Alexandre G'elin, 2018, The Open Book Series.

Pointless curves of genus three and four

Kristin E. Lauter, Everett W. Howe, Jaap Top, 2004, math/0403178.

On the non-existence of certain curves of genus two

Everett W. Howe, 2004, Compositio Mathematica.

Ju l 2 00 2 IMPROVED UPPER BOUNDS FOR THE NUMBER OF POINTS ON CURVES OVER FINITE FIELDS

Everett W. Howe, K. Lauter, 2006 .

Improved upper bounds for the number of points on curves over finite fields

Kristin E. Lauter, Everett W. Howe, K. Lauter, 2002, math/0207101.

On the Existence of Absolutely Simple Abelian Varieties of a Given Dimension over an Arbitrary Field

Everett W. Howe, Hui June Zhu, H. Zhu, 2000, math/0002205.

Lower bounds on the lengths of double-base representations

Vassil S. Dimitrov, Everett W. Howe, V. Dimitrov, 2010, 1001.4133.

Principally polarizable isogeny classes of abelian surfaces over finite fields

Daniel Maisner, Enric Nart, Everett W. Howe, 2006 .

JACOBIANS IN ISOGENY CLASSES OF ABELIAN SURFACES OVER FINITE FIELDS

Enric Nart, Everett W. Howe, Christophe Ritzenthaler, 2006, math/0607515.

A New Proof of Erdos's Theorem on Monotone Multiplicative Functions

Everett W. Howe, 1986 .

Optimal quotients and surjections of Mordell–Weil groups

Everett W. Howe, 2015, 1505.07141.

Variations in the distribution of principally polarized abelian varieties among isogeny classes

Everett W. Howe, 2020, Annales Henri Lebesgue.

Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian

Everett W. Howe, 1998, math/9805121.

Quickly constructing curves of genus 4 with many points

Everett W. Howe, 2015, 1506.04478.

New methods for bounding the number of points on curves over finite fields

Everett W. Howe, K. Lauter, 2012, 1202.6308.

New methods for bounding the number of points on curves over finite fields

Everett W. Howe, K. Lauter, 2012, 1202.6308.

Infinite Families of Pairs of Curves Over Q with Isomorphic Jacobians

Everett W. Howe, 2003, math/0304471.

Real Polynomials with All Roots on the Unit Circle and Abelian Varieties over Finite Fields

Everett W. Howe, S. A. DiPippo, 1998, Journal of Number Theory.

Split abelian surfaces over finite fields and reductions of genus-2 curves

Everett W. Howe, Jeff Achter, 2015, 1510.00481.

Supersingular genus-two curves over fields of characteristic three

Everett W. Howe, 2006, math/0604413.

Genus-2 curves and Jacobians with a given number of points

Everett W. Howe, P. Stevenhagen, K. Lauter, 2014, LMS J. Comput. Math..

Large torsion subgroups of split Jacobians of curves of genus two or three

Everett W. Howe, B. Poonen, F. Leprévost, 1998, math/9809210.

Infinite Families of Pairs of Curves Over Q with Isomorphic Jacobians

Everett W. Howe, 2003, math/0304471.

Appendix to a paper of Maisner and Nart

Everett W. Howe, 2001, math/0111006.

Isogeny Classes of Abelian Varieties with no Principal Polarizations

Everett W. Howe, 2000, math/0002232.

Lower bounds on the maximal number of rational points on curves over finite fields

Everett W. Howe, Elisa Lorenzo Garc'ia, C. Ritzenthaler, 2022, Mathematical Proceedings of the Cambridge Philosophical Society.

New bounds on the maximum number of points on genus-4 curves over small finite fields

Everett W. Howe, 2011, 1108.5393.

On the non-existence of certain curves of genus two

Everett W. Howe, 2002, Compositio Mathematica.

Pointless curves of genus three and four

Everett W. Howe, K. Lauter, Jaap Top, 2004, math/0403178.

On the Existence of Absolutely Simple Abelian Varieties of a Given Dimension over an Arbitrary Field

Everett W. Howe, H. Zhu, 2000, math/0002205.

Higher-order Carmichael numbers

Everett W. Howe, 1998, Math. Comput..

Hasse–Witt and Cartier–Manin matrices: A warning and a request

Everett W. Howe, Jeff Achter, 2017, Arithmetic Geometry: Computation and Applications.

On the Maximum Gonality of a Curve over a Finite Field

Everett W. Howe, Jon Grantham, X. Faber, 2022, 2207.14307.

Real Polynomials with All Roots on the Unit Circle and Abelian Varieties over Finite Fields

Everett W. Howe, S. A. DiPippo, 1998, Journal of Number Theory.

Constructing and tabulating dihedral function fields

Everett W. Howe, R. Scheidler, Colin Weir, 2013 .

ANTS XIII Proceedings of the Thirteenth Algorithmic Number Theory Symposium

Everett W. Howe, J. Sorenson, W. Casselman, 2019 .

Deducing information about curves over finite fields from their Weil polynomials

Everett W. Howe, 2021, 2110.04221.

The Weil pairing and the Hilbert symbol

Everett W. Howe, 1996 .

Sous-groupes de torsion d'ordres élevés de jacobiennes décomposables de courbes de genre 2

Everett W. Howe, F. Leprévost, Bjorn Poonen, 1996 .

Constructing distinct curves with isomorphic Jacobians in characteristic zero

Everett W. Howe, 1995 .

Characteristic polynomials of automorphisms of hyperelliptic curves

Everett W. Howe, R. Guralnick, 2008, 0804.0578.

Principally polarizable isogeny classes of abelian surfaces over finite fields

Everett W. Howe, C. Ritzenthaler, E. Nart, 2006, math/0602650.

Deducing information about curves over finite fields from their Weil polynomials

Everett W. Howe, 2021, 2110.04221.

Constructing Distinct Curves with Isomorphic Jacobians

Everett W. Howe, 1996 .

Every positive integer is the order of an ordinary abelian variety over $${{\mathbb {F}}}_2$$

Everett W. Howe, K. Kedlaya, 2021, Research in Number Theory.

EVERY POSITIVE INTEGER IS THE ORDER OF AN ORDINARY ABELIAN VARIETY OVER F 2

Everett W. Howe, 2021 .

ANTS X Proceedings of the Tenth Algorithmic Number Theory Symposium msp Constructing and tabulating dihedral function fields

Everett W. Howe, R. Scheidler, Colin Weir, 2013 .

Isogeny Classes of Abelian Varieties with no Principal Polarizations

Everett W. Howe, 2000, math/0002232.

Nonisomorphic curves that become isomorphic over extensions of coprime degrees

Everett W. Howe, Michael E. Zieve, R. Guralnick, 2008, 0801.4614.

Genus‐2 Jacobians with torsion points of large order

Everett W. Howe, 2014, 1407.2654.

Refinements of Katz-Sarnak theory for the number of points on curves over finite fields

Everett W. Howe, Elisa Lorenzo Garc'ia, C. Ritzenthaler, 2023, 2303.17825.

Powers of 3 with few nonzero bits and a conjecture of Erd\H{o}s

Everett W. Howe, V. Dimitrov, 2021, 2105.06440.

Kernels of polarizations of abelian varieties over finite fields

Everett W. Howe, 2020, 2001.05111.

Every positive integer is the order of an ordinary abelian variety over F 2

Everett W. Howe, K. Kedlaya, 2021 .

A G ] 1 5 Ja n 20 20 KERNELS OF POLARIZATIONS OF ABELIAN VARIETIES OVER FINITE FIELDS

Everett W. Howe, 2020 .

BOUNDS FOR THE NUMBER OF POINTS ON CURVES OVER FINITE FIELDS

Everett W. Howe, K. Lauter, 2008 .

A ug 2 00 2 IMPROVED UPPER BOUNDS FOR THE NUMBER OF POINTS ON CURVES OVER FINITE FIELDS

Everett W. Howe, K. Lauter, 2006 .

1 2 Ju n 20 00 REAL POLYNOMIALS WITH ALL ROOTS ON THE UNIT CIRCLE AND ABELIAN VARIETIES OVER FINITE FIELDS

Everett W. Howe, S. A. DiPippo, 1998 .

Every positive integer is the order of an ordinary abelian variety over $${{\mathbb {F}}}_2$$

Everett W. Howe, K. Kedlaya, 2021, Research in Number Theory.

The maximum number of points on a curve of genus eight over the field of four elements

Everett W. Howe, 2020, Journal of Number Theory.

Purely inseparable Richelot isogenies

Everett W. Howe, Bradley W. Brock, 2020, 2002.02122.

LOWER BOUND ON THE MAXIMAL NUMBER OF RATIONAL POINTS ON CURVES OVER FINITE FIELDS

Everett W. Howe, Elisa Lorenzo Garc'ia, C. Ritzenthaler, 2022 .