Research Articles

• (With P.-H. Chuang) The Bessel operator and determinants of Bessel moments. 11 pp.
  Appendix to P.-H. Chuang, On the periods of twisted moments of the Kloosterman connection. (arXiv).
  Ramanujan. J. 65 (2024), no. 3, 1227--1277.


• (With C. Sabbah) Hodge properties of Airy moments (arXiv).
  Tunis. J. Math. 5 (2023), no. 2, 215--271.


• (With J. Fresán and C. Sabbah) Quadratic relations between Bessel moments (arXiv).
  Algebra Number Theory 17 (2023), no. 3, 541--602.


• (With J. Fresán and C. Sabbah) Quadratic relations between periods of connections (arXiv).
  Tohoku Math. J. (2) 75 (2023), no. 2, 541--602.


• (With C. Sabbah) Irregular Hodge numbers of confluent hypergeometric differential equations. (arXiv).
  Épijournal Geom. Algébrique 3 (2019), Art. 7, 9 pp.


• (With J. Fresán and C. Sabbah) Hodge theory of Kloosterman connections (arXiv).
  Duke Math. J. 171 (2022), no. 8, 1649--1747.


• (With C. Sabbah) Irregular mixed Hodge structures.
  Chapter 3 (pp.81--112) of C. Sabbah, Irregular Hodge theory. (arXiv).
  Mém. Soc. Math. Fr. 156 (2018), vi+126 pp.


• (With K.-C. Chen) The Künneth formula for the twisted de Rham and Higgs cohomologies (arXiv).
  SIGMA Symmetry Integrability Geom. Methods Appl. 14 (2018), 055, 14 pages.


• (With C. Sabbah) On the irregular Hodge filtration of exponentially twisted mixed Hodge modules (arXiv).
  Forum Math. Sigma 3 (2015), e9, 71 pp.


• (With H. Esnault and C. Sabbah) E₁-degeneration of the irregular Hodge filtration (with an appendix by Morihiko Saito) (arXiv).
  J. Reine Angew. Math. 729 (2017), 171--227.


• Irregular Hodge filtration on twisted de Rham cohomology (2013.10.4).
  Manuscripta Math. 144 (2014), no. 1, 99--133.


• On ordinary crystals with logarithmic poles (2011.6.9).


• (With C.-F. Yu) Mass formula for supersingular abelian surfaces (2009.8.14).
  J. Algebra 322 (2009), no. 10, 3733--3743.


• Notes on Calabi-Yau ordinary differential equations (2009.6.26).
  Commun. Number Theory Phys. 3 (2009), no. 3, 475--493.
  (A longer version (2009.6.26) is also available.)


• (With Y. Yang) Structure of the cuspidal rational torsion subgroup of J₁(pⁿ) (link).
  J. Lond. Math. Soc. (2) 82 (2010), no. 1, 203--228.


• Variation of the unit root along certain families of Calabi-Yau varieties (2009.6.15).


• (With N. Yui) K3 surfaces of finite height over finite fields (2008.5.1).
  J. Math. Kyoto Univ. 48 (2008), no. 3, 499--519.


• Variation of the unit root along the Dwork family of Calabi-Yau varieties (2008.6.16).
  Math. Ann. 343 (2009), 53--78. The original publication is available at www.springerlink.com


• Local structure of the moduli space of K3 surfaces in positive characteristic (link).
  Int. Math. Res. Not. IMRN 2009, no. 23, 4480--4495.


• Special lifts of ordinary K3 surfaces and applications (2010.4.27).
  Pure Appl. Math. Q. 8 (2012), no.3, 805--824.

Last updated 2025.10.23. (y.m.d)