Independent University of Moscow

Solutions to selected problem sets and exams.

⚠️ Note: The solutions are in Russian.

1. Probability Theory-2

Assignment	PDF	LaTeX
Problem set 1	PDF	.tex
Problem set 2	PDF	.tex
Problem set 3	PDF	.tex

2. Category Theory

Assignment	PDF	LaTeX
Midterm exam	PDF	.tex
Final exam	PDF	.tex

3. Algebraic Number Theory

Assignment	PDF	LaTeX
Problem set 1	PDF	.tex
Problem set 2	PDF	.tex
Problem set 3	PDF	.tex
Problem set 4	PDF	.tex

4. Introduction to Braid Groups

Assignment	PDF	LaTeX
Problem set 1	PDF	.tex
Problem sets 9–11	PDF	.tex

5. Combinatorial Group Theory

Assignment	PDF	LaTeX
Problem set 1	PDF	.tex
Problem set 2	PDF	.tex
Problem set 3	PDF	.tex

6. Algebra-3

Assignment	PDF	LaTeX
Problem set 1	PDF	.tex
Problem set 2	PDF	.tex
Problem set 3	PDF	.tex
Problem set 4	PDF	.tex
Problem set 5	PDF	.tex
Problem set 6	PDF	.tex
Problem set 7	PDF	.tex
Problem set 8	PDF	.tex
Problem set 9	PDF	.tex
Extra problems 1	PDF	.tex
Extra problems 2	PDF	.tex

7. Introduction to Infinite-Type Surfaces

Assignment	PDF	LaTeX
Exam	PDF	.tex

8. Introduction to Mapping Class Groups

Assignment	PDF	LaTeX
Problem set 1	PDF	.tex
Problem set 2	PDF	.tex
Problem set 3	PDF	.tex
Problem set 4	PDF	.tex
Problem set 5	PDF	.tex
Problem set 6	PDF	.tex
Problem set 7	PDF	.tex
Problem set 8	PDF	.tex
Problem set 9	PDF	.tex

9. Differential Geometry

Assignment	PDF	LaTeX
Problem set 1	PDF	.tex
Problem set 2	PDF	.tex
Problem set 2 (part 2)	PDF	.tex
Problem set 3	PDF	.tex
Problem set 4 (part 1)	PDF	.tex
Problem set 5 (part 1)	PDF	.tex
Exam	PDF	—

10. Lie Groups and Algebras

Assignment	PDF	LaTeX
Exam	PDF	.tex

11. Topology-2

Assignment	PDF	LaTeX
Exam	PDF	.tex

12. Topology-1

Assignment	PDF	LaTeX
Exam	PDF	.tex
Extra problem	PDF	.tex