1. Nguyen M. Linh, On the descent conjecture for rational points and zero-cycles. Journal of the Institute of Mathematics of Jussieu 25(1):515–563 (2026).
   DOI: 10.1017/S1474748025101400

2. Nguyen M. Linh, Nonabelian descent types. Journal of Algebra 661:380–429 (2025).
   DOI: 10.1016/j.jalgebra.2024.07.049

3. 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

4. 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

5. 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

1. Mayer–Vietoris sequences for complexes of tori, available at arXiv:2509.16056, 29 pages (2025).

2. (joint with Ramdorai Sujatha) Local–global principles for nonabelian second Galois cohomology over p-adic function fields, submitted, 36 pages (2025).

3. Representations and algebraic goodness, in progress.

4. Noncommutative Mayer–Vietoris sequences, in progress.

5. Five-term exact sequence for morphisms of sites, in progress.

1. 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) và Thông tin toán học Tập 29 (Số 3 & 4), trang 22–28 (Tháng 12, 2025).
   (From the sum-of-square problem to the Milnor conjecture. Newsletter of the Vietnam Mathematical Society 29(2):17–24 (2025) and Newsletter of the Vietnam Mathematical Society 29(3 & 4):22–28 (2025), in Vietnamese) (Journal version, part I and part II).

2. 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).

3. 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).

4. Emily Riehl, Lý thuyết phạm trù vô cực mang lại tầm nhìn "Từ trên xuống dưới" cho toán học (trans. Nguyen M. Linh).Tạp chí Pi Tập 7 (Số 4), trang 8–17 (Tháng 4, 2023).
   (Pi Journal 7(4):8–17 (2023), translated from Emily Riehl, Infinity Category Theory Offers a Bird’s-Eye View of Mathematics, Scientific American, 325(4), 2021).

1. Patching and local–global principle over semiglobal fields – talk at the Pan Asia Number Theory Conference 2026 at Institute for Mathematical Sciences, National University of Singapore (Singapore, December 2026).

2. The descent conjecture for torsors under connected linear algebraic groups – talk at the Linear Algebraic Groups over Arithmetic Fields Workshop, during the Thematic Programme on Rational Points, Algebraic Cycles and the Local–Global Principle by Lodha Mathematical Sciences Institute (Mumbai, April 2026).

3. Local–global principle for nonabelian second Galois cohomology over p-adic function fields – talk at the Linear Algebraic Groups over Arithmetic Fields Workshop, during the Thematic Programme on Rational Points, Algebraic Cycles and the Local–Global Principle by Lodha Mathematical Sciences Institute (Mumbai, March 2026).

4. Purity of Brauer group – talk at the Purity theorem for the Brauer group Block seminar by Hanoi Institute of Mathematics (Hanoi, February 2026).

5. Duality theorems and arithmetics of homogeneous spaces over p-adic function fields – talk at A Morning of Arithmetic of Algebraic Groups by University of British Columbia's Department of Mathematics (Vancouver, November 2025).

6. L'obstruction de Brauer–Manin et la méthode de la descente – talk at Journées galoisiennes d'hiver by Laboratoire de Mathématiques Nicolas Oresme (Caen, December 2024).

7. Hilbert property – online talk at Group schemes and related topics workshop by Hanoi Institute of Mathematics (Hanoi, September 2024).

8. Cohomological study of rational points (see video here, in Vietnamese) – online invited plenary talk at DAHITO (Algebra, Number Theory, Geometry and Topology) 2024 by Hanoi Institute of Mathematics (Da Lat, May 2024).

9. Around the descent conjecture – talk at the 10th Vietnam Mathematical Congress - VMC 2023 by Vietnam Mathematical Society (Da Nang, August 2023).

10. Representations and comodules – online talk at Tannakian categories workshop by Hanoi Institute of Mathematics (August 2021).

11. Computing the Mordell–Weil group – online talk at The Mordell–Weil theorem workshop by Hanoi Institute of Mathematics (Tuan Chau, August 2020).

12. Hilbert's third problem (see video here) – online talk during the Science Webinar Series by MaSSP (Math and Science Summer Program) (June 2020), in Vietnamese.

13. Gaussian periods and regular p-gons (see report here)– talk at the Students' Research Conference by VNU University of Science (Hanoi, May 2017).

• 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.

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