Seminar Leture Notes
1) Set Theory Seminar Notes
Theme: Axiom of Choice and equivalent formulations
What’s inside
- Core statements and intuition (choice functions, well-ordering)
- Standard equivalences and proof structures (Zorn-style arguments)
- Takeaways on how these tools appear in later mathematics
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2) Fourier Analysis Seminar Notes
Theme: Poisson Summation Formula and central consequences
What’s inside
- Schwartz space viewpoint and the idea of periodization
- A derivation path for Poisson summation that is easy to reuse
- Connections to classical special functions and uncertainty principles
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3) Extremal Combinatorics Notes
Theme: Extremal methods at the interface of combinatorics and geometry
What’s inside
- Modeling geometric constraints via graphs (distance graphs as a guiding example)
- Constructive lower bounds and inequality-based upper bounds
- How parameter choices affect the final bound
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