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Maryna Viazovska

Related publications (20)

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Sharp sphere packings

Maryna Viazovska

In this talk we will speak about recent progress on the sphere packing problem. The packing problem can be formulated for a wide class of metric spaces equipped with a measure. An interesting feature of this optimization problem is that a slight change of ...

World Scientific Publishing2018

One of the most unique and robust experimental facts about iron-based superconductors is the renormalization of the electronic band dispersion by factor of 3 and more near the Fermi level. Obviously related to the electron pairing, this prominent deviation ...

Amer Physical Soc2017

Building on Viazovska’s recent solution of the sphere packing problem in eight dimensions, we prove that the Leech lattice is the densest packing of congruent spheres in twenty-four dimensions and that it is the unique optimal periodic packing. In particul ...

2017

Higher Green functions are real-valued functions of two variables on the upper half-plane, which are bi-invariant under the action of a congruence subgroup, have a logarithmic singularity along the diagonal, and satisfy the equation f = k(1−k) f ; here i ...

Cambridge UP2015

For each N ≥ Cdtd , we prove the existence of a well-separated spherical t-design in the sphere Sd consisting of N points, where Cd is a constant depending only on d. ...

2015

Optimal asymptotic bounds for spherical designs

Maryna Viazovska

In this paper we prove the conjecture of Korevaar and Meyers: for each N≥cdtd, there exists a spherical t-design in the sphere Sd consisting of N points, where cd is a constant depending only on d. ...

2013

The first two authors and Kohnen have recently introduced a new class of modular objects called locally harmonic Maass forms, which are annihilated almost everywhere by the hyperbolic Laplacian operator. In this paper, we realize these locally harmonic Maa ...

2013

Modular Functions and Special Cycles

Maryna Viazovska

In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are a higher dimensional generalization of modular curves and their important feature is that they have natural families of algebraic cycles in all codimesions ...

Rheinische Friedrich-Wilhelms-Universität Bonn2013

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The disordered flux line lattice in single crystals of the slightly overdoped BaFe2−xCoxAs2 (x=0.19, Tc=23 K) superconductor is studied by magnetization measurements, small-angle neutron scattering, and magnetic force microscopy (MFM). In the whole range o ...

2010

The precise momentum dependence of the superconducting gap in the iron-arsenide superconductor Ba1−xKxFe2As2 (BKFA) with Tc=32 K was determined from angle-resolved photoemission spectroscopy (ARPES) via fitting the distribution of the quasiparticle density ...

2009