Universiade "Lomonosov" in mathematics and mechanics
Russian
The Universiade comes for 3rd-4th year students and graduates of educational programs in maths, mechanics and technology
Students
3 sections
Privileges
During the registration, a participant may choose one of the thematic sections, listed below
The Universiade awardees will obtain privileges in Master's programs admission
2 stages
Universiade includes two stages:
  • qualifying stage: February 21−26,
  • final stage: April 3−22.
How can I take part in the Universiade?
  • To enroll and to choose the section
    It is necessary to enroll and choose the most appropriate section to take part in the Universiade. In case of any problems with the registration, including the absence of an appropriate value for "Previous education" field, please contact us via universiade@math.msu.ru
    1
  • Qualifying stage
    The qualifying stage will be held by correspondence, using remote learning technologies. The participants will have some days to complete the task, which includes detailed written solution of a set of problems, and send the solutions to the Organizing Commitee.

    The qualifying stage awardees will receive invitations to participate in the final stage. The Universiade's final stage awardees are welcome to participate in the Universiade-2024's final stage without this year's qualifying stage.
    2
  • Final stage
    The final stage will be held in the oral presentation form.

    The participants of the final stage must give a talk on a single scientific topic, chosen from the Organizing Commitee's list. Remote participation is allowed.
    3
  • Universiade awardees
    The jury will award the winners and awardees of the Universiade. The winners will receive a privilege "100 points for the master’s entry exam", the awardees - "75 points for the master’s entry exam" during the admission to the master’s programs of the Faculty of Mechanics and Mathematics of the LMSU.
    4
Thematics of the Universiade
Basic disciplines of the Universiade include calculus, analytical geometry,
linear algebra, differential equations,
probability theory and mathematical statistics.

Sections of the Universiade:
  • Mathematics and Computer Science
    Special disciplines —
    • theory of complex variable functions,
    • differential geometry,
    • mathematical logic and theory of algorithms.
    This section comes in Russian.
  • Geometry and Quantum Fields
    Special discipline — mathematical physics.
    This section comes in English.
  • Mechanics and Mathematical modelling
    Special disciplines —
    • theoretical mechanics,
    • theory of optimization and control.
    This section comes in Russian.
Timeline
1
20.01 - 20.02.2025
Registration
2
21.02 - 25.02.2025
Qualifying stage
3
27.02.2025
The Organizing Commitee will announce possible topics for the final stage presentations
4
28.03.2025, 23:59 GMT+3
Final stage presentation abstract submission deadline
5
09.04.2025, 16.04.2025, 17.04.2025
Final stage in the section
"Mathematics and Computer Science"
6
23.04.2025, 14:30 GMT+3
Final stage in the section
"Mechanics and Mathematical Modeling"
7
April 2025
Final stage in the section
"Geometry and Quantum Fields"
Final stage topics (2025)
The awardees of the qualifying stage may participate in the final one. The final stage is in an oral presentation; the possible topics of this presentation are listed below.
Математика и компьютерные науки
  1. Евклидовы минимальные остовные деревья и триангуляция Делоне.
  2. Проблема Штейнера на плоскости и алгоритм Мелзака-Венга.
  3. Замкнутые геодезические на (двумерных) поверхностях постоянной кривизны.
  4. Правильные многогранники в трехмерном, четырехмерном и пятимерном пространстве.
  5. Триангуляция Делоне и кусочно-линейная аппроксимация функций нескольких переменных.
  6. Синтез структурных автоматов.
  7. Задачи удовлетворения ограничениям.
  8. Теория клеточных автоматов и клеточных автоматов с локаторами.
  9. Теория графов и автоматы на графах.
  10. Применение машинного обучения в гуманитарных областях.
  11. Большие языковые модели.
  12. Математические методы защиты информации, информационная безопасность.

Geometry and Quantum Fields

1. Quantum theory of angular momentum and representations of SU (2)

2. Evolution in quantum mechanics. Schrodinger, Heisenberg and interaction representations.

3. Spinors and the Dirac equation in the Clifford algebra approach.

4. Noether’s theorem. Symmetries and conservation laws in mechanics and field theory.

Механика и математическое моделирование
1. Математические модели отолитового органа.
2. Математические модели микромеханического датчика угловой скорости.
3. Методы определения ориентации спутника по астродатчикам.
4. Математическая модель построения экзоскелета.
Qualifying stage results
The results of the qualifying stage are listed below.
Registration
The registration is available using the Universiade website.
In case of any problems with the registration, including the absence of an appropriate value for "Previous education" field, please contact us via universiade@math.msu.ru
Go to the Universiade website
Personalities
Here you may find interviews of the Universiade awardees, judges and organizers
Saturday, February 10
Timur Nurkhabinov's interview
Master's student, Universiade-2023 awardee
Friday, February 9
Elyar E. Gasanov's interview
Head of the department of mathematical theory of intelligent systems, doctor of science in physics and mathematica
Saturday, January 27
Alexey Raev's interview
Master's "Geometry and Quantum Fields" student, Universiade-2023 winner
Do you have any questions?
We are happy to answer any further questions via Telegram
or the e-mail universiade@math.msu.ru