@article{https://authors.library.caltech.edu/records/xvzd6-kyz76, title = "A question of Erdős and Graham on Egyptian fractions", journal = "Discrete Analysis", year = "2025", url = "https://authors.library.caltech.edu/records/xvzd6-kyz76", id = "record", issn = "2397-3129", doi = "10.19086/da.154329", volume = "2025" } @article{https://authors.library.caltech.edu/records/9j8v9-dvk17, title = "Sunflowers in Set Systems with Small VC-Dimension", journal = "Combinatorica", year = "2025", url = "https://authors.library.caltech.edu/records/9j8v9-dvk17", id = "record", issn = "0209-9683", doi = "10.1007/s00493-025-00186-8", volume = "45" } @article{https://authors.library.caltech.edu/records/q6ry1-7x950, title = "The Largest Subgraph Without A Forbidden Induced Subgraph", journal = "Combinatorica", year = "2025", url = "https://authors.library.caltech.edu/records/q6ry1-7x950", id = "record", issn = "0209-9683", doi = "10.1007/s00493-025-00190-y", volume = "45" } @article{https://authors.library.caltech.edu/records/xtea2-gmn29, title = "Sharp Bound for the Erdős–Straus Non-averaging Set Problem", journal = "Geometric and Functional Analysis", year = "2025", url = "https://authors.library.caltech.edu/records/xtea2-gmn29", id = "record", issn = "1016-443X", doi = "10.1007/s00039-025-00728-8", volume = "35" } @article{https://authors.library.caltech.edu/records/9mpsw-88x77, title = "An explicit economical additive basis", journal = "Combinatorics, Probability and Computing", year = "2025", url = "https://authors.library.caltech.edu/records/9mpsw-88x77", id = "record", issn = "0963-5483", doi = "10.1017/s096354832510014x", volume = "34" } @article{https://authors.library.caltech.edu/records/8j74t-1r107, title = "Short proof of the hypergraph container theorem", journal = "Combinatorics, Probability and Computing", year = "2025", url = "https://authors.library.caltech.edu/records/8j74t-1r107", id = "record", issn = "0963-5483", doi = "10.1017/s0963548325000112", volume = "34" } @article{https://authors.library.caltech.edu/records/eebg4-rbt63, title = "Set-Coloring Ramsey Numbers and Error-Correcting Codes Near the Zero-Rate Threshold", journal = "IEEE Transactions on Information Theory", year = "2024", url = "https://authors.library.caltech.edu/records/eebg4-rbt63", id = "record", issn = "0018-9448", doi = "10.1109/tit.2023.3327846", volume = "70" } @article{https://authors.library.caltech.edu/records/sc4y5-c1068, title = "On a conjecture of Talagrand on selector processes and a consequence on positive empirical processes", journal = "Annals of Mathematics", year = "2024", url = "https://authors.library.caltech.edu/records/sc4y5-c1068", id = "record", issn = "0003-486X", doi = "10.4007/annals.2024.199.3.6", volume = "199" } @article{https://authors.library.caltech.edu/records/zaber-9mz98, title = "Regularity method and large deviation principles for the Erdős–Rényi hypergraph", journal = "Duke Mathematical Journal", year = "2024", url = "https://authors.library.caltech.edu/records/zaber-9mz98", id = "record", issn = "0012-7094", doi = "10.1215/00127094-2023-0029", volume = "173" } @article{https://authors.library.caltech.edu/records/amyc1-hkk39, title = "Small subsets with large sumset: Beyond the Cauchy–Davenport bound", journal = "Combinatorics, Probability and Computing", year = "2024", url = "https://authors.library.caltech.edu/records/amyc1-hkk39", id = "record", issn = "0963-5483", doi = "10.1017/s0963548324000014", volume = "33" } @article{https://authors.library.caltech.edu/records/hd7e7-7mb42, title = "On random irregular subgraphs", journal = "Random Structures \& Algorithms", year = "2023", url = "https://authors.library.caltech.edu/records/hd7e7-7mb42", id = "record", issn = "1042-9832", doi = "10.1002/rsa.21204", volume = "64" } @article{https://authors.library.caltech.edu/records/vkhej-47e23, title = "A rigorous framework for the mean field limit of multilayer neural networks", journal = "Mathematical Statistics and Learning", year = "2023", url = "https://authors.library.caltech.edu/records/vkhej-47e23", id = "record", issn = "2520-2316", doi = "10.4171/msl/42", volume = "6" } @article{https://authors.library.caltech.edu/records/2d31p-cjn16, title = "A proof of the Kahn–Kalai conjecture", journal = "Journal of the American Mathematical Society", year = "2023", url = "https://authors.library.caltech.edu/records/2d31p-cjn16", id = "record", issn = "0894-0347", doi = "10.1090/jams/1028", volume = "37" } @article{https://authors.library.caltech.edu/records/xfvsq-pqf42, title = "Dimension reduction for maximum matchings and the Fastest Mixing Markov Chain", journal = "Comptes Rendus. Mathématique", year = "2023", url = "https://authors.library.caltech.edu/records/xfvsq-pqf42", id = "record", issn = "1631-073X", doi = "10.5802/crmath.447", volume = "361" } @article{https://resolver.caltech.edu/CaltechAUTHORS:20221017-10817000.4, title = "The upper logarithmic density of monochromatic subset sums", journal = "Mathematika", year = "2022", url = "https://resolver.caltech.edu/CaltechAUTHORS:20221017-10817000.4", id = "record", issn = "0025-5793", doi = "10.1112/mtk.12167", volume = "68" } @article{https://authors.library.caltech.edu/records/b80br-qcv76, title = "Tower-type bounds for Roth's theorem with popular differences", journal = "Journal of the European Mathematical Society", year = "2022", url = "https://authors.library.caltech.edu/records/b80br-qcv76", id = "record", issn = "1435-9855", doi = "10.4171/jems/1271", volume = "25" } @article{https://authors.library.caltech.edu/records/wf08c-mwx40, title = "Universality for Low-Degree Factors of Random Polynomials over Finite Fields", journal = "International Mathematics Research Notices", year = "2022", url = "https://authors.library.caltech.edu/records/wf08c-mwx40", id = "record", issn = "1073-7928", doi = "10.1093/imrn/rnac239", volume = "2023" } @article{https://authors.library.caltech.edu/records/2wcx5-6zd15, title = "Spectral independence, coupling, and the spectral gap of the Glauber dynamics", journal = "Information Processing Letters", year = "2022", url = "https://authors.library.caltech.edu/records/2wcx5-6zd15", id = "record", issn = "0020-0190", doi = "10.1016/j.ipl.2022.106268", volume = "177" } @article{https://authors.library.caltech.edu/records/rqnfa-1pg82, title = "Mixing time of fractional random walk on finite fields", journal = "Electronic Journal of Probability", year = "2022", url = "https://authors.library.caltech.edu/records/rqnfa-1pg82", id = "record", issn = "1083-6489", doi = "10.1214/22-ejp858", volume = "27" } @article{https://authors.library.caltech.edu/records/jfxe1-xbm62, title = "Common and Sidorenko Linear Equations", journal = "The Quarterly Journal of Mathematics", year = "2021", url = "https://authors.library.caltech.edu/records/jfxe1-xbm62", id = "record", issn = "0033-5606", doi = "10.1093/qmath/haaa068", volume = "72" }