Scientists / Open questions

Maryna Viazovska

Number theory; sphere packing; modular forms

2022 Fields Medal

2 questions

Constructive and efficiently computable spherical $t$ -designs with asymptotically optimal cardinality
Explicit prime-ideal factorization of the algebraic numbers $\alpha$ satisfying $(f,\Theta_{\mathcal{B}})^{\mathrm{reg}}=\log|\alpha|$ for weight-one modular forms, for arbitrary imaginary quadratic fundamental discriminants

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