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Rigid local systems and finite general linear groups

https://doi.org/10.1007/s00209-020-02617-2

Katz, Nicholas M. ; Tiep, Pham Huu ( August 2021 , Mathematische Zeitschrift)

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Monodromy groups of Kloosterman and hypergeometric sheaves

https://doi.org/10.1007/s00039-021-00578-0

Katz, Nicholas M. ; Tiep, Pham Huu ( June 2021 , Geometric and Functional Analysis)

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Hypergeometric sheaves and finite symplectic and unitary groups

https://doi.org/10.4310/CJM.2021.v9.n3.a2

Katz, Nicholas M. ; Tiep, Pham Huu ( January 2021 , Cambridge Journal of Mathematics)

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Moments of Weil representations of finite special unitary groups

https://doi.org/10.1016/j.jalgebra.2019.02.039

Katz, Nicholas M. ; Tiep, Pham Huu ( November 2020 , Journal of Algebra)
null (Ed.)
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A rigid local system with monodromy group the big Conway group $2.\mathsf {Co}_1$ and two others with monodromy group the Suzuki group $6.{{Suz}}$

https://doi.org/10.1090/tran/7967

Katz, Nicholas M. ; Rojas-León, Antonio ; Tiep, Pham Huu ( March 2020 , Transactions of the American Mathematical Society)
null (Ed.)
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Rigid local systems with monodromy group the Conway group Co2

https://doi.org/10.1142/S1793042120500189

Katz, Nicholas M. ; Rojas-León, Antonio ; Tiep, Pham Huu ( March 2020 , International Journal of Number Theory)
null (Ed.)
We first develop some basic facts about hypergeometric sheaves on the multiplicative group [Formula: see text] in characteristic [Formula: see text]. Certain of their Kummer pullbacks extend to irreducible local systems on the affine line in characteristic [Formula: see text]. One of these, of rank [Formula: see text] in characteristic [Formula: see text], turns out to have the Conway group [Formula: see text], in its irreducible orthogonal representation of degree [Formula: see text], as its arithmetic and geometric monodromy groups.
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Local systems and finite unitary and symplectic groups

https://doi.org/10.1016/j.aim.2019.106859

Katz, Nicholas M. ; Tiep, Pham Huu ( December 2019 , Advances in Mathematics)

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Rigid local systems with monodromy group the Conway group Co3

https://doi.org/10.1016/j.jnt.2019.06.016

Katz, Nicholas M. ; Rojas-León, Antonio ; Tiep, Pham Huu ( January 2020 , Journal of Number Theory)
null (Ed.)
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Rigid local systems and finite symplectic groups

https://doi.org/10.1016/j.ffa.2019.05.008

Katz, Nicholas M. ; Tiep, Pham Huu ( September 2019 , Finite Fields and Their Applications)

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Exponential sums and total Weil representations of finite symplectic and unitary groups

https://doi.org/10.1112/plms.12390

Katz, Nicholas M. ; Tiep, Pham Huu ( October 2020 , Proceedings of the London Mathematical Society)