Jean-Baptiste Teyssier

PAPERS

• Standard t-structures
  With P. J. Haine and M. Porta. Preprint
• Characteristic cycle and wild Lefschetz theorems (Leitfaden)
  With H. Hu. Preprint
• Estimates for Betti numbers and relative Hermite-Minkowski theorem for perverse sheaves
  With H. Hu. Preprint
• Bounding ramification with coherent sheaves
  With H. Hu. To appear in Tunisian J. Math
• Semi-continuity for conductor divisors of étale sheaves
  With H. Hu. Preprint
• The derived moduli of Stokes data
  With M. Porta. Preprint
• Homotopy theory of Stokes data
  With M. Porta. Preprint
• Exodromy beyond conicality
  With P. J. Haine and M. Porta. Preprint
• Day's convolution for pro-∞-categories
  With M. Porta. Draft
• Topological exodromy with coefficients
  With M. Porta. Preprint
• Cohomological boundedness for flat bundles on surfaces and applications
  With H. Hu. Compositio Mathematica, Vol. 160 (2024)
• The homotopy-invariance of constructible sheaves
  With P. J. Haine and M. Porta. Homology, Homotopy and Applications, Vol 25 (2023)
• Characteristic cycle and wild ramification for nearby cycles of étale sheaves
  With H. Hu. J. für die Reine und Angew. Math. Vol. 776 (2021)
• Moduli of Stokes torsors and singularities of differential equations
  Journal of the European Mathematical Society, Vol. 25 (2023)
• Higher dimensional Stokes structures are rare
  Contemporary Mathematics, Vol. 742 (2020)
• Skeletons and moduli of Stokes torsors
  Annales Scientifiques de l'ENS, Vol. 52 (2019). Video CIRM
• Nearby slopes and boundedness for ℓ-adic sheaves in positive characteristic
• A Boundedness theorem for nearby slopes of holonomic D-modules
  Compositio Mathematica, Vol. 152 (2016)
• Sur une caractérisation des D-modules holonomes réguliers 
  Mathematical Research Letters, Vol. 23 (2016)
• Tensor product and irregularity for holonomic D-modules
  C. R. Acad. Sci. 353 (2015)
• Linéarité de la construction d'Abbes et Saito pour les connexions méromorphes
• La Construction d’Abbes et Saito pour les Connexions Méromorphes : Aspect Formel en Dimension 1 - Publ. RIMS, Kyoto Univ. 50 (2014)

POSITION

• Maître de conférence à Sorbonne Université
• Membre junior de l'Institut Universitaire de France

CONTACT

• Institut Mathématique de Jussieu,
  4 place Jussieu, 75005 Paris
• jean-baptiste.teyssier[at]imj-prg.fr

Research interests

• Singularities of flat bundles
• Stokes phenomenon
• Wild ramification
• Derived Algebraic Geometry

Talks

• Etale cohomology and étale homotopy. 06/25. Frankfurt.
• Ramification in geometric Langlands and non-abelian Hodge theory. 09/24. Heidelberg.
• Non abelian Hodge Theory. 06/22. Abbaye St Jacut de la Mer.
• D-modules: Applications to Algebraic Geometry, Arithmetic and Mirror Symmetry. 04/22. CIRM.

Phd students

• Lucas Jacquier, Sorbonne Université, co-advised with Mauro Porta, 2025 - current
• Enrico Lampetti, Sorbonne Université, co-advised with Mauro Porta, 2023 - current

Doctoral courses

• Homotopy theory of Stokes data and derived moduli - Heidelberg 09/24
  • Exodromy
  • Stokes data : from classical to ∞-categorical
  • The derived moduli of Stokes data
• A course on D-modules - Warwick 03/15
• Irregular singularities of meromorphic connections - ETH, Zurich 10/15