LinhAT's personal page

Journal publications

Nguyen M. Linh, On the descent conjecture for rational points and zero-cycles. Journal of the Institute of Mathematics of Jussieu First View:1–49 (2025).
DOI: 10.1017/S1474748025101400
Nguyen M. Linh, Nonabelian descent types. Journal of Algebra 661:380–429 (2025).
DOI: 10.1016/j.jalgebra.2024.07.049
Nguyen M. Linh, Groupes de Brauer algébriques modulo les constantes d'espaces homogènes et leurs compactifications. Comptes Rendus. Mathématique 362:693–700 (2024).
DOI: 10.5802/crmath.587
Nguyen M. Linh, Arithmetics of homogeneous spaces over p-adic function fields. Journal of the London Mathematical Society 109(1):e12842 (2024).
DOI: 10.1112/jlms.12842
Nguyen M. Linh, Sur les espaces homogènes de Borovoi–Kunyavskii. Algebra & Number Theory 18(2):349–387 (2024).
DOI: 10.2140/ant.2024.18.349

Preprints & works in progress

Mayer–Vietoris sequences for complexes of tori, available at arXiv:2509.16056, 29 pages (2025).
(with Ramdorai Sujatha) Local–global principles for nonabelian second Galois cohomology over p-adic function fields, to appear.
Representations of amalgams of group schemes, in progress.
Iterated amalgams and noncommutative Mayer–Vietoris sequences, in progress.
Five-term exact sequence for morphisms of sites, in progress.

Surveys & popularization of mathematics

Nguyen M. Linh, Từ bài toán tổng các bình phương đến giả thuyết Milnor. Thông tin toán học Tập 29 (Số 2), trang 17–24 (Tháng 8, 2025).
(From the sum-of-square problem to the Milnor conjecture. Newsletter of the Vietnam Mathematical Society 29(2):17–24 (2025), in Vietnamese) (Journal version, part I).
Nguyen M. Linh, Định lý phân loại mặt đóng trong tôpô học. Tạp chí Pi Tập 7 (Số 9), trang 10–19 (Tháng 9, 2023) và Tạp chí Pi Tập 7 (Số 10), trang 11–15 (Tháng 10, 2023).
(Classification theorem for closed surfaces. Pi Journal 7(9):10–19 (2023) and Pi Journal 7(10):11–15 (2023), in Vietnamese).
Nguyen M. Linh, Tôpô số học: số nguyên tố giống nút như thế nào?. Tạp chí Pi Tập 7 (Số 5), trang 2–7 (Tháng 5, 2023) và Tạp chí Pi Tập 7 (Số 6), trang 2–9 (Tháng 6, 2023).
(Arithmetic topology: how similar are primes and knots?. Pi Journal 7(5):2–7 (2023) and Pi Journal 7(6):2–9 (2023), in Vietnamese).

Selected talks

Memoirs & theses

The manuscript of my Ph. D. thesis: Cohomological studies of rational points over fields of arithmetico-geometric nature (and its beamer), under the supervision of David Harari.
My memoir of the second year of Master: L'obstruction de Brauer–Manin pour certains espaces homogènes (d'après Harpaz et Wittenberg) (and a summary which I presented at ENS), under the supervision of David Harari, in French.
My memoir of the first year of Master: The question on the uniform bound for ranks of elliptic curves (after Poonen et al.), under the supervision of Loïc Merel.
My memoir of the first year at ENS: Théorème de Bézout (and its beamer), with Nghiêm Trần Trung, under the supervision of Antoine Ducros, in French.

Miscellaneous writings

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