About me
I am a chargé de recherche of CNRS located at the Université Sorbonne Paris Nord (Université Paris 13). Here is my CV.
Publications and Preprints
- Brauer classes not split by genus one curves. With Zinovy Reichstein. Submitted August 2025.
- On direct summands of products of Jacobians over arbitrary fields. With Fumiaki Suzuki. Submitted July 2025.
- Specialization and rigidity. With Zinovy Reichstein. Submitted June 2025.
- Variétés réelles connexes non stablement rationnelles. With Jean-Louis Colliot-Thélène and Alena Pirutka. Submitted June 2025.
- Generically trivial torsors under constant groups. With Alexis Bouthier and Kęstutis Česnavičius. Submitted May 2025.
- The lifting problem for Galois representations. With Alexander Merkurjev. Submitted January 2025.
- Galois representations modulo p that do not lift modulo p2. With Alexander Merkurjev. Accepted by Journal of the American Mathematical Society.
- Non-formality of Galois cohomology modulo all primes. With Alexander Merkurjev. Accepted by Compositio Mathematica.
- On the Massey Vanishing Conjecture and Formal Hilbert 90. With Alexander Merkurjev. Proceedings of the London Mathematical Society. (3) 130 (2025), no. 3, Paper No. e70036.
- Varieties over ℚ̅ with infinite Chow groups modulo almost all primes. Journal of the London Mathematical Society (2) 110 (2024), no. 4, Paper No. e12994, 20 pp..
- Two coniveau filtrations and algebraic equivalence over finite fields. With Fumiaki Suzuki. Accepted by Algebraic Geometry.
- The Massey Vanishing Conjecture for fourfold Massey products modulo 2. With Alexander Merkurjev. Accepted by Annales Scientifiques de l'École Normale Supérieure.
- Sur l'injectivité de l'application cycle de Jannsen. With Jean-Louis Colliot-Thélène. Perspectives on Four Decades of Algebraic Geometry, In Memory of Alberto Collino, Volume 1, 151–183. Progr. Math., 351, 2025.
- Eilenberg-Moore spectral sequence and Hodge cohomology of classifying stacks. With Dmitry Kubrak. Accepted by Journal of Algebraic Geometry.
- Quotient singularities in the Grothendieck ring of varieties. With Louis Esser. Journal of Algebraic Geometry. 34 (2025), 183-204
- Degenerate fourfold Massey products in Galois cohomology. With Alexander Merkurjev. Journal of the European Mathematical Society, published online.
- Non-injectivity of the cycle class map in continuous l-adic cohomology. With Fumiaki Suzuki. Forum of Mathematics, Sigma. Volume 11, 2023, e6.
- Non-algebraic geometrically trivial cohomology classes over finite fields. With Fumiaki Suzuki. Advances in Mathematics. Volume 458, Part A, Paper No. 109964, 30
- Pathologies du groupe des classes de R-équivalence d'un groupe algébrique linéaire. Mathematische Annalen 387, 1333–1342 (2023)
- The behavior of essential dimension under specialization II. With Zinovy Reichstein. Algebra & Number Theory 17(2023), no.11, 1925-1958.
- The behavior of essential dimension under specialization. With Zinovy Reichstein. Épijournal de Géométrie Algébrique 6(2022), Art. 21, 28 pp.
- Sur la conjecture de Tate entière pour certains produits en dimension 3 sur un corps fini. Épijournal de Géométrie Algébrique. Volume 6 (2022).
- Steenrod operations on the de Rham cohomology of algebraic stacks. Journal Inst. Math. Jussieu. 22 (2023), no. 2, 493-540.
- Essential dimension of extensions of finite groups by tori. With Zinovy Reichstein. Algebraic Geometry 8 (6) (2021) 749-769.
- On the Mixed Tate property and the motivic class of the classifying stack of a finite group. Algebra & Number Theory Vol. 16 (2022), No. 10, 2265-2287.
- Motivic classes and the integral Hodge Question. C. R. Math. Acad. Sci. Paris. Volume 359, issue 3 (2021), p. 305-311.
- Sur la conjecture de Tate entière pour le produit d'une courbe et d'une surface CH0-triviale sur un corps fini. With Jean-Louis Colliot-Thélène. Rend. Circ. Mat. Palermo, II. Ser 72, 2895–2927 (2023)
- Torsion classes in the equivariant Chow groups of algebraic tori. Annales Scientifiques de l'École Normale Supérieure. Tome 56, fascicule 2 (2023), p. 571-587
- Embeddings of maximal tori in groups of type F4. With Andrew Fiori. Pacific Journal of Mathematics. Vol. 311 (2021), No. 1, 53-88.
- The Noether problem for spinor groups of small rank. With Zinovy Reichstein. Journal of Algebra 548 (2020), 134-152.
- On the Noether problem for torsion subgroups of tori. Pacific Journal of Mathematics 306 (2020), no. 2, 699-719.
- Motivic classes of classifying stacks of some semi-direct products. With Ivan Martino. Journal of Algebra 544 (2020), 62-74.
- Essential dimension and genericity for quiver representations. Documenta Mathematica 25 (2020), 329-364.
- Retract rationality and algebraic tori. Canadian Math. Bulletin 63 (2020), no. 1, 173-186.
- On the motivic class of an algebraic group. Algebra & Number Theory 14 (2020), no. 4, 855-866.
- Rational Picard group of moduli of pointed hyperelliptic curves. International Math. Research Notices 21 (2020), 8027-8056.
- Essential dimension of representations of algebras. Commentarii Mathematici Helvetici 95 (2020), 661-702.
Videos of talks
- Codimension two cycles on classifying stacks of algebraic tori. "Quadratic forms, Linear algebraic groups and Beyond" online seminar. May 29, 2020.
- Motivic classes of classifying stacks of algebraic groups. Joint Columbia-CUNY-NYU Number Theory Seminar. October 22, 2020.
- Degenerate fourfold Massey products over arbitrary fields. "Quadratic forms, Linear algebraic groups and Beyond" online seminar. December 7, 2022.
- Massey products in Galois cohomology. IAS | PCMI Park City Mathematics Institute. July 2024.