Projects and Grants per year
Personal profile
Education/Academic qualification
Doctor of Philosophy, Stanford University
2014
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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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Topics in Analytic Number Theory and Additive Combinatorics
Shao, X. (PI)
7/1/22 → 6/30/25
Project: Research project
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Topics in Analytic Number Theory and Additive Combinatorics
Shao, X. (PI)
7/1/22 → 6/30/25
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
- 30 Article
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Additive energies of subsets of discrete cubes
Shao, X., 2024, (Accepted/In press) In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics.Research output: Contribution to journal › Article › peer-review
Open Access -
Bounds in a popular multidimensional nonlinear Roth theorem
Peluse, S., Prendiville, S. & Shao, X., Nov 2024, In: Journal of the London Mathematical Society. 110, 5, e70019.Research output: Contribution to journal › Article › peer-review
Open Access -
A transference principle for systems of linear equations, and applications to almost twin primes
Bienvenu, P. Y., Shao, X. & Teräväinen, J., 2023, In: Algebra and Number Theory. 17, 2, p. 497-539 43 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Scopus citations -
Higher uniformity of arithmetic functions in short intervals I. All intervals
Matomäki, K., Shao, X., Tao, T. & Teräväinen, J., Oct 19 2023, In: Forum of Mathematics, Pi. 11, e29.Research output: Contribution to journal › Article › peer-review
Open Access2 Scopus citations -
On Hilbert cubes and primitive roots in finite fields
Alsetri, A. & Shao, X., Jan 2022, In: Archiv der Mathematik. 118, 1, p. 49-56 8 p.Research output: Contribution to journal › Article › peer-review
1 Scopus citations