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Contestants of the 28th All-Russian Möbius Contest (2024)


Undergraduates and graduates

 
Aleksander Andreev

Astrakhan State Technical University (Astrakhan)
  Decomposition of Semiprime Numbers into Primes and Application of Sax’s Spirals in the RSA Algorithm.
 
Andrey Chernyshev

Lomonosov Moscow State University (Moscow)
  Normalization Flow and Poincare-Dulac Theory.
 
Vladimir Glazatov

Moscow Institute of Physics and Technology (Moscow)
  Invariant measures on Hilbert space.
 
Pavel Gubkin

St. Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences (Saint Petersburg)
  Krein systems with oscillating potentials.
 
Sergey Guminov

Higher School of Economics (Moscow)
  Perverse sheaves on toric varieties and stacks.
 
Denis Lyskov

Higher School of Economics (Moscow)
  Graphical generalisation of operads and their Hilbert series.
 
Mikhail Novikov

St. Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences (Saint Petersburg)
  Sharp bounds for distribution of martingale transform of bounded functions.
 
Vladislav Smolin

N.N. Krasovskii Institute of Mathematics and Mechanics (Ekaterinburg)
  Maps of metrizable and submetrizable spaces.
 
Maria Votiakova

Moscow Institute of Physics and Technology (Moscow)
  Classical and wave dynamics of long nonlinear waves localized in the vicinity of gentle shores, and their connection with billiards with semi-rigid walls.
 
Zaitsev Alexandr Vladimirovich

Higher School of Economics (Moscow)
  Automorphisms of two-dimensional quadrics and Jordan constants of Cremona group of rank 2.
 
Ekaterina Zlobina

Saint Petersburg State University (Saint Petersburg)
  Diffraction of short waves by contours with nonsmooth curvature. Nontangential incidence.
 

Undergraduates

 
Vsevolod Afanasev

Novosibirsk State University (Novosibirsk)
  On axial algebras with 3 eigenvalues.
 
Kirill Aleksandrov

Higher School of Economics (Moscow)
  Computational complexity of linearly approximable extensions of basic propositional logic.
 
Damir Asanov

Peter the Great St.Petersburt Polytechnic University
  Modified transport task.
 
Vadim Gorev

Lomonosov Moscow State University (Moscow)
  Functional analogs of the Shephard and Busemann-Petty problems.
 
Rodion Gvozdev

Siberian Federal University (Krasnoyarsk)
  Generating sets of conjugate involutions of groups PSL(n,9).
 
Nikolay Knyazev

Saint Petersburg State University (Saint Petersburg)
  Flexibility design of Tullock contest.
 
Nikolay Kononenko
Higher School of Economics
(Moscow)
  Lagrangian Subvarieties in Hyperspherical Varieties Related to G2.

We consider two S-dual hyperspherical varieties of the group G2 x SL(2): an equivariant slice for G2, and the symplectic representation of G2 x SL(2) in the odd part of the basic classical Lie superalgebra g(3). For these varieties we check the equality of numbers of irreducible components of their Lagrangian subvarieties (zero levels of the moment maps of Borel subgroups' actions) conjectured in arXiv:2310.19770.
 
Konstantin Kovalyov

Moscow Institute of Physics and Technology (Moscow)
  Fragments of IOpen.
 
Petr Kucheriaviy

Higher School of Economics (Moscow)
  Erdos inequality for primitive sets.
 
Alexey Lvov

Saint Petersburg State University (Saint Petersburg)
  Coherent sheaves on maximally singular curves.
 
 
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