Mariia Myronova

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Hi! 👋 I am a Postdoctoral Researcher at University of Montreal, LIGUM under the supervision of Prof. Mikhail Bessmeltsev. My current work is about sketch geometry processing using mathematical modeling.

I completed my Ph.D. in mathematical physics under the supervision of Prof. Jiří Patera in 2021. My thesis presents a study of applications of finite reflection groups to the problems related to two-dimensional lattices and three-dimensional polytopes.

publications

AlphaContours

Differential Operators on Sketches via Alpha Contours

Mariia Myronova, William Neveu, Mikhail Bessmeltsev
SIGGRAPH North America 2023
SymmetryBreaking

On symmetry breaking of dual polyhedra of non-crystallographic group H₃

Mariia Myronova
Acta Crystallographica Section A 2021
CentralSplitting

Central Splitting of A₂ Discrete Fourier–Weyl Transforms

Jiří Hrivnák, Mariia Myronova, Jiří Patera
Symmetry 2020
NestedPolytopes

Nested Polyhedra and Indices of Orbits of Coxeter Groups of Non-Crystallographic Type

Mariia Myronova, Jiří Patera, Marzena Szajewska
Symmetry 2020
AlphaContours

The orthogonal systems of functions on lattices of SU(n+1), n<∞

Mariia Myronova and Marzena Szajewska
Geometric Methods in Physics XXXVII 2019
Graphene

Dynamical Generation of Graphene

Mariia Myronova, Emmanuel Bourret
Geometric Methods in Physics XXXVII 2019