2025 · MIT PRIMES
Totally dense collections of subspaces
Student: Leo Hong
In this project we studied Diophantine approximations with restrictions on numerators and denominators via the Khintchine-Jarnik's construction of singular matrices.
Mentoring & teaching
This page shows some of my experience in mentoring high school students in math research.
Mentoring
2023 · MIT PRIMES
Schmidt Diagrams
Student: Eric Zhan
In this project we studied the classical Schmidt's game on two families of subsets of real numbers: the set of d-Badly approximable numbers and the sets with certain restriction on digit frequencies.
2019–2022
Tournament of Young Mathematicians
Coached AESC MSU (Kolmogorov School) teams in collaborative mathematical research and mathematical fights.
- 2019 — VII Saint Petersburg Tournament of Young Mathematicians: Joint first place (Diploma I)
- 2019 — XXI Republican Tournament of Young Mathematicians, Minsk: Fourth place
- 2020 — VIII Saint Petersburg Tournament of Young Mathematicians, online: Diploma II
- 2022 — X Saint Petersburg Tournament of Young Mathematicians, online: Second place
Teaching
My teaching has ranged from university calculus and differential equations to number theory and mathematics olympiad programs.
2023–2025
Calculus
Instructor · Brandeis University
+ Classes taught− Classes taught
- Fall 2023
- MATH 10B-2
- Spring 2024
- MATH 10B-3
- Fall 2024
- MATH 10B-3
- Spring 2025
- MATH 10A-3
2025
Multivariable Calculus
Instructor · Brandeis University
2024
Differential Equations
Instructor · Brandeis University
Summer 2024
Number Theory
Instructor · AwesomeMath Summer Program
2018–2022
Math instructor
Instructor · AESC MSU (Kolmogorov School)
Taught geometry, analysis, and algebra, as well as mathematics olympiad preparation courses and intensive schools.
+ Classes taught− Classes taught
- 2017–22
- Class 11E — Geometry
- 2019–20
- Classes 10A/B/V — Algebra
- 2020–22
- Class 11E — Mathematics Practicum
- 2021–22
- Class 10N — Mathematical Analysis
2018–2021
Sunday Olympiad Courses
Instructor · AESC MSU (Kolmogorov School)
Sunday mathematics olympiad courses for school students.
+ Classes taught− Classes taught
- 2018–19
- Grades 4, 6
- 2019–20
- Grades 3, 5, 7
- 2020–21
- Grades 6, 7
Additional experience
Organizer, undergraduate reading course
Brandeis University
Organized the reading course “Ergodic Theory and Number Theory,” using Manfred Einsiedler and Thomas Ward’s Ergodic Theory with a View Towards Number Theory.
Teaching assistant, grader, and mathematics tutor
Brandeis University
Teaching assistant and team coach
Lyceum “Second School”
Instructor
Association of Olympiad Winners
Teaching materials
Lecture notes: introduction to group theory (eng)
These notes were created for the AESC MSU lectorium I hosted in 2019-2021 [Auto-translated]
Open fileLecture notes: introduction to group theory (rus)
These notes were created for the AESC MSU lectorium I hosted in 2019-2021 [Original russian version]
Open file