Mehtaab Sawhney wins Clay Research Fellowship
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3M ago
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Papers by MIT combinatorialists—Fall 2023
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4M ago
Summaries of recent papers by students and postdocs ..read more
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Schildkraut: Equiangular lines and large multiplicity of fixed second eigenvalue
Yufei Zhao Blog
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1y ago
Graph with high second eigenvalue multiplicity for a fixed eigenvalue ..read more
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Nearly all k-SAT functions are unate
Yufei Zhao Blog
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1y ago
We proved the Bollobás--Brightwell--Leader conjecture characterizing the structure of a typical k-SAT function ..read more
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Kwan–Sah–Sawhney–Simkin: High-girth Steiner triple systems
Yufei Zhao Blog
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1y ago
Resolution of a 1973 Erdős conjecture showing the existence of Steiner triple systems with arbitrarily high girth ..read more
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Graphs with high second eigenvalue multiplicity
Yufei Zhao Blog
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1y ago
How high can the second eigenvalue multiplicity of a connected bounded degree graph get ..read more
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Enumerating k-SAT functions
Yufei Zhao Blog
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1y ago
How many k-SAT functions are there? What does a typical one look like ..read more
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Mathematical tools for large graphs
Yufei Zhao Blog
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1y ago
General audience essay on the graph regularity lemma, graph limits, and additive combinatorics ..read more
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How I manage my BibTeX references, and why I prefer not initializing first names
Yufei Zhao Blog
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1y ago
A how-to guide, and my rationale ..read more
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The cylindrical width of transitive sets
Yufei Zhao Blog
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1y ago
A finite transitive subset of a high dimensional sphere lies close to a subspace ..read more
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