Qirui Li

I work in number theory and arithmetic geometry. My interests are the relative trace formula approach to Gross–Zagier type formulas, the linear arithmetic fundamental lemma, and the geometry of Lubin–Tate and Rapoport–Zink spaces.

qiruili [at] postech.ac.kr
Curriculum vitae

Publications and Preprints

• Arithmetic transfer for inner forms of GL_2n, with Andreas Mihatsch. Forum Math. Sigma 13 (2025), e128.
• On the linear AFL: the non-basic case, with Andreas Mihatsch. Compos. Math. 161 (2025), no. 2, 385–425.
• Intersections in Lubin–Tate space and bi-quadratic fundamental lemmas, with Ben Howard. Amer. J. Math. (2025).
• A computational proof of the biquadratic linear AFL for GL₄. Preprint (2025).
• An intersection formula of CM cycles on Lubin–Tate spaces. Duke Math. J. 171 (2022), no. 9, 1923–2011.
• A proof of the linear arithmetic fundamental lemma for GL₄. Canad. J. Math. 74 (2022), no. 2, 381–427.
• Extensions of vector bundles on the Fargues–Fontaine curve. J. Inst. Math. Jussieu 21 (2022), no. 2, 487–532.
• On Keating's results of formal module endomorphisms lifting. Preprint (2019).