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Award ID contains: 1720146

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  1. (, Mathematics of computation)
    null (Ed.)
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  2. ; (, Journal of Algebra)
    null (Ed.)
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  3. ; ; (, Experimental Mathematics)
    We present new computational results for symplectic monodromy groups of hypergeometric dif- ferential equations. In particular, we compute the arithmetic closure of each group, sometimes jus- tifying arithmeticity. The results are obtained by extending our earlier algorithms for Zariski dense groups, based on the strong approximation and congruence subgroup properties. 
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  4. ; ; (, Journal of Algebra)
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  5. (, Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation)
    We describe algorithms and heuristics that allow us to express arbitrary elements of SLn(Z) and Sp2n (Z) as products of generators in particular "standard" generating sets. For elements obtained experimentally as random products, it produces product expressions whose lengths are competitive with the input lengths. 
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