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Geometric Energies: Between Discrete Geometry and Additive Combinatorics
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Classroom Contents
Algebraic Methods in Combinatorics
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- 1 Explicit sum-of-squares lower bounds via the polynomial method
- 2 Submodular minimization and set-systems with restricted intersections
- 3 Ranks of matrices with few distinct entries
- 4 Geometric Energies: Between Discrete Geometry and Additive Combinatorics
- 5 Few products, many sums
- 6 Let’s talk about multiple crossings
- 7 Removal lemmas for triangles and k-cycles
- 8 Subspace evasion, list decoding, and dimension expanders
- 9 The polynomial method in Fourier analysis
- 10 Polynomials, Rank and Cap Sets
- 11 Ramsey Numbers Combinatorial and Geometric
- 12 Intersection of linear subspaces in R^d and instances of the PIT problem
- 13 Cutting curves into segments and incidence geometry
- 14 On the unit distance problem
