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| Introduction and background | |
| Symmetric sums associated to the factorization of Grunsky coefficients | |
| A monstrous proposal | |
| Quivers and difference Painleve equations | |
| Families of Ramanujan graphs and quaternion algebras | |
| Normal forms, K3 surface moduli, and modular parametrizations | |
| Spontaneous generation of Hilbert modular functions | |
| On a class of congruence subgroups | |
| McKay's correspondenxe for cocompact discrete subgroups of SU(1, 1) | |
| Arithmetic groups and the affine $\mathrm{E}_8$ Dynkin diagram | |
| The Galois action on character tables | |
| Hecke operators in equivariant elliptic cohomology and generalized moonshine | |
| Sculptural presentation of the icosahedral rotation group | |
| Spherical harmonics and the iscoahedron | |
| Alternating group and multivariate exponential functions | |
| Moonshine elements in elliptic cohomology | |
| The generalized Artin conjecture and arithmetic orbifolds | |
| McKay correspondence | |
| On ground fields of arithmetic hyperbolic reflection groups | |
| Moonshine-type functions and the CRM correspondence | |
| Monodromy evolving deformations and Halphen's equation | |
| Integral solutions of Apery-like recurrence equations | |
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