Research
Research Papers
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Deterministic bootstrap percolation on trees, joint with R. Beeler, F. Norwood. The Art of Discrete and Applied Mathematics 5#P2.08,2022,1-19.
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Cover rubbling and stacking, joint with T. Haynes. Discrete Mathematics 343(11),112080,2020
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Total domination cover rubbling, joint with R. Beeler, T. Haynes, M. Henning. Discrete Applied Mathematics 283,2020,133-141.
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The Eneström-Kakeya theorem for polynomials of a quaternionic variable, joint with N. Carney, R. Gardner, A. Powers. Journal of Approximation Theory 250,105325,2020,
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Domination cover rubbling, joint with R. Beeler, T. Haynes. Discrete Applied Mathematics 260,2019,75-85.
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Restrictions of Eisenstein series and Rankin-Selberg convolution, joint with A. Pitale. Documenta Mathematica 24,2019,1-45.
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Counting eta-quotients of prime level, joint with A. Arnold-Roksandich, K. James. Involve 11(5),2018,827-844.
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Level stripping for vector-valued Siegel modular forms of genus 2. Functiones et Approximatia Commentarii Mathematici 54(2),2016,251-274.
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Degree 14 extensions of Q7, joint with J. Brown, R. Cass (undergraduate), S. Parenti (undergraduate), D. Shankman (undergraduate). International Journal of Pure and Applied Mathematics 100(2),2015,337-345.
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Counting tamely ramified extensions of local fields up to isomorphism, joint with J. Brown, R. Cass (undergraduate), K. James, S. Parenti (undergraduate), D. Shankman (undergraduate). Integers, 16 #A53,2016,1-12.
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Congruence primes for Ikeda lifts and the Ikeda ideal, joint with J. Brown. Pacific Journal of Mathematics 274(1),2015,27-52.
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Eigenvalues of Ikeda lifts. The Ramanujan Journal 37(2),2015,299-307.
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Amicable pairs and aliquot cycles for elliptic curves over number fields, joint with J. Brown, K. James, D. Heras (undergraduate), and A. Qian (undergraduate). Rocky Mountain Journal of Mathematics 46(6),2016,1853-1866.
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Level stripping for degree 2 Siegel modular forms, Mathematical Research Letters 20(5),2013,919-932.
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Level stripping for Siegel modular forms with reducible Galois representations , joint with J. Brown. Journal of Number Theory 133,2013,1492-1501.
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Explicit level lowering for 2-dimensional modular Galois representations, Master's thesis.
SAGE Code
SiegelDim: This is a SAGE worksheet which computes the dimension of the space of degree 2 vector valued Siegel cusp forms under certain restrictions (prime level Gamma_0(p), weight > 4, etc.) Note, the dimension formula used in this worksheet comes from the paper "Dimension formulas for spaces of vector-valued Siegel cusp forms of degree two" by Wakatsuki.
You can email me: keatonr(at)etsu.edu
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