Research Interests:
Publications
An exponential improvement for diagonal Ramsey
– Arch. Formal Proofs
(2026)
203,
869
(doi: 10.4007/annals.2026.203.3.4)
Upper bounds for multicolour Ramsey numbers
– Journal of the American Mathematical Society
(2026)
39,
765
(doi: 10.1090/jams/1069)
On the Spielman-Teng Conjecture
– Geometric and Functional Analysis
(2025)
35,
633
(doi: 10.1007/s00039-025-00707-z)
The sparse circular law, revisited
– Bulletin of the London Mathematical Society
(2024)
57,
330
(doi: 10.1112/blms.13199)
The least singular value of a random symmetric matrix
– Forum of Mathematics, Pi
(2024)
12,
e3
(doi: 10.1017/fmp.2023.29)
The singularity probability of a random symmetric matrix is exponentially small
– Journal of the American Mathematical Society
(2024)
38,
179
(doi: 10.1090/jams/1042)
The structure and number of Erdős covering systems
– Journal of the European Mathematical Society
(2023)
26,
75
(doi: 10.4171/JEMS/1357)
Singularity of random symmetric matrices revisited
– Proceedings of the American Mathematical Society
(2022)
150,
3147
(doi: 10.1090/proc/15807)
On the Erdos covering problem: the density of the uncovered set
– Inventiones Mathematicae
(2021)
228,
377
(doi: 10.1007/s00222-021-01087-5)
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