Projects and Grants per year
Personal profile
Education/Academic qualification
Doctor of Philosophy, Stanford University
2014
Fingerprint
Dive into the research topics where Xuancheng Shao is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
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Collaborations and top research areas from the last five years
Recent external collaboration from the last 5 years on country level. Dive into details by clicking on the dots.
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Additive Combinatorics and Multiplicative Functions
Shao, X. (PI)
8/15/25 → 7/31/28
Project: Research project
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Topics in Analytic Number Theory and Additive Combinatorics
Shao, X. (PI)
7/1/22 → 6/30/26
Project: Research project
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Topics in Analytic Number Theory and Additive Combinatorics
Shao, X. (PI)
7/1/22 → 6/30/26
Project: Research project
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Topics in Analytic Number Theory and Additive Combinatorics
Shao, X. (PI)
7/1/18 → 6/30/22
Project: Research project
Research output
- 35 Article
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Burgess-type character sum estimates over generalized arithmetic progressions of rank 2
Alsetri, A. & Shao, X., Feb 2026, In: Bulletin of the London Mathematical Society. 58, 2, e70293.Research output: Contribution to journal › Article › peer-review
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Higher uniformity of arithmetic functions in short intervals II. Almost all intervals
Matomäki, K., Radziwiłł, M., Shao, X., Tao, T. & Teräväinen, J., Jun 2026, In: Inventiones Mathematicae. 244, 3, p. 967-1091 125 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Sums of kloosterman sums over square-free and smooth integers
Shao, X., Shparlinski, I. E. & Wijaya, L. P., Jun 1 2026, In: Bulletin of the Australian Mathematical Society. 113, 3, p. 404-416 13 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Density versions of the binary Goldbach problem
Alsetri, A. & Shao, X., 2025, In: Acta Arithmetica. 218, 3, p. 285-295 11 p.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
Quantitative bounds in a popular polynomial Szemerédi theorem
Shao, X. & Wang, M., 2025, (Accepted/In press) In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics.Research output: Contribution to journal › Article › peer-review
Open Access