Research Areas

Algebraic Geometry; Quantum Gravity

Education

2014-2018  B.S., Department of Mathematical Sciences, Tsinghua University

2018-2023  Ph.D., Department of Mathematics, Harvard University

Work Experience

2023-2024  Postdoctoral Fellow, Center of Mathematical Sciences and Applications (CMSA), Harvard University

2024-2026  Postdoctoral Fellow, Department of Physics, Harvard University

Awards

2016  National Scholarship

2016  Shing-Tung Yau College Student Mathematics Contest: Gold Medals in Algebra, Geometry, and Individual All-Around; Silver Medals in Analysis and the Team Competition.

2017  Tsinghua University Special Scholarship

2018  Pierce Fellowship, Harvard University

2020  Certificate of Distinction in Teaching, Harvard University

2022  Chinese Government Award for Outstanding Self-Financed Students Abroad

2024  ICCM Graduate Thesis Award

Publications

[1] H.-C. Kim and K. Xu, "Intersection Bounds for BPS Strings in Six-Dimensional Supergravity," JHEP (accepted, 2026), arXiv:2607.26197.

[2] Z. K. Baykara, M. Dierigl, H.-C. Kim, C. Vafa, and K. Xu, "Bounds on Discrete Gauge Symmetries in Supergravity," JHEP 03 (2026) 171.

[3] H.-C. Kim, C. Vafa, and K. Xu, "Finite Landscape of 6d N=(1,0) Supergravity," SciPost Phys. 20 (2026) 016.

[4] M. Delgado, D. van de Heisteeg, S. Raman, E. Torres, C. Vafa, and K. Xu, "Finiteness and the Emergence of Dualities," SciPost Phys. 19 (2025) 047.

[5] S. Huang and K. Xu, "The orbifold Hochschild product for Fermat hypersurface," Adv. Math. 429 (2023) 109186.

[6]S. Lüst, C. Vafa, M. Wiesner, and K. Xu, "Holography and the KKLT scenario," JHEP 10 (2022) 188.

[7] J. Wang, K. Xu, and S.-T. Yau, "Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging," Phys. Rev. Research 3 (2021) 013185.

[8] Z. Gui, S. Li, and K. Xu, "Geometry of Localized Effective Theories, Exact Semi-classical Approximation and the Algebraic Index," Commun. Math. Phys. 382 (2021) 441-483.

[9] J. Wang and K. Xu, "Higher-rank tensor field theory of non-Abelian fracton and embeddon," Ann. Phys. 424 (2021) 168370.