MY WORK

Publications

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

2. 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

3. 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

4. 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

1. On the descent conjecture for rational points and zero-cycles, available at arXiv:2305.13228, 41 pages, 2023.

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.

Selected talks

1. 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).

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

3. 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).

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

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

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

7. 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.

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

Miscellaneous writings

• Định lý phân loại mặt đóng (Classification theorem for closed surfaces), in Vietnamese.

• Tôpô số học: số nguyên tố giống nút như thế nào? (Arithmetic topology: how similar are primes and knots?), in Vietnamese.

• Từ bài toán tổng các  bình phương đến giả thuyết Milnor (From the sum-of-square problem to the Milnor conjecture), in Vietnamese.