MY WORK

Publications

1. 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

2. 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. Nonabelian descent types, available at arXiv:2401.00340, 39 pages, 2024.

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

3. Groupes de Brauer algébriques modulo les constantes d'espaces homogènes et leurs compactifications, available at arXiv:2204.10967, 9 pages, in French, 2022.
   To appear in Comptes Rendus Mathématique.

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.

Talks

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

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

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

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

5. 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.

6. 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.