Shu SHEN (申述)

Maître de conférences HDR

à l'Equipe Analyse Algébrique

Institut de Mathématiques de Jussieu-Paris Rive Gauche

Sorbonne Université

Case Courrier 247, 4 place Jussieu

75252 Paris Cedex 05


 Research Interests



 Publications and Preprints

  1. Bismut hypoelliptic Laplacians for manifolds with boundaries, with F. Nier. Preprint.
    arXiv: 2107.01958  abstract
  2. Coherent sheaves, superconnections, and Riemann-Roch-Grothendieck, with J.-M. Bismut and Z. Wei. Progr. Math. 347, (2023), x+184 pp.
    book  arXiv: 2102.08129  abstract
  3. Geometric orbital integrals and the center of the enveloping algebra, with J.-M. Bismut. Compos. Math. 158 (2022), 1189–1253.
    journal  pdf  abstract
  4. Intégrales orbitales semi-simples et centre de l'algèbre enveloppante, with J.-M. Bismut. C. R. Acad. Sci. Paris 357 (2019), 897-906.
    journal  pdf  abstract
  5. Complex valued analytic torsion and dynamical zeta function on locally symmetric spaces. Int. Math. Res. Not. IMRN. (2023), No. 5, 3676–3745.
    journal  pdf  abstract
  6. Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists. Comm. Math. Phys. 387 (2021), 1215–1255.
    journal  pdf  abstract
  7. Dynamical zeta functions in the nonorientable case, with Y. Borns-Weil. Nonlinearity 34 (2021), 7322-7334.
    journal  pdf  abstract
  8. Analytic torsion and dynamical flow: A survey on the Fried conjecture. Arithmetic L-Functions and Differential Geometric Methods, Progr. Math., 338, (2021), 247-299.
    journal  pdf  abstract
  9. Morse-Smale flow, Milnor metric, and dynamical zeta function, with Jianqing Yu. J. Éc. polytech. Math. 8 (2021), 585-607.
    journal  pdf  abstract
  10. The Fried conjecture in small dimensions, with N.V. Dang, C. Guillarmou, and G. Rivière. Invent. Math. 220 (2020), 525–579.
    journal  pdf  abstract
  11. Flat vector bundles and analytic torsion on orbifolds, with Jianqing Yu. Comm. Anal. Geom. Vol. 30, No. 3 (2022), 575-656.
    journal  pdf  abstract
  12. Analytic torsion, dynamical zeta functions, and the Fried conjecture. Anal. PDE. 11 (2018), 1-74.
    journal  pdf  abstract
  13. Laplacien hypoelliptique, torsion analytique, et théorème de Cheeger-Müller. J. Funct. Anal. 270 (2016), 2817-2999.
    journal  pdf  abstract
  14. Analytic torsion, dynamical zeta functions and orbital integrals. C. R. Acad. Sci. Paris 354 (2016), 433-436.
    journal  pdf  abstract
  15. The hypoelliptic Laplacian, analytic torsion and Cheeger–Müller Theorem. C. R. Acad. Sci. Paris 352 (2014), 153-156.
    journal  pdf  abstract