Research Articles
-
(With Z. L. Lim and F.-T. Tu)
Galois representations and modularity
for twisted moments of Kloosterman sums
(arXiv).
-
(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.
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(With C. Sabbah)
Hodge properties of Airy moments
(arXiv).
Tunis. J. Math. 5 (2023), no. 2, 215--271.
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(With J. Fresán and C. Sabbah)
Quadratic relations between Bessel moments
(arXiv).
Algebra Number Theory 17 (2023), no. 3, 541--602.
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(With J. Fresán and C. Sabbah)
Quadratic relations between periods of connections
(arXiv).
Tohoku Math. J. (2) 75 (2023), no. 2, 175--213.
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(With C. Sabbah)
Irregular Hodge numbers of confluent hypergeometric differential equations.
(arXiv).
Épijournal Geom. Algébrique 3 (2019), Art. 7, 9 pp.
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(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.
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Irregular Hodge filtration on twisted de Rham cohomology
(2013.10.4).
Manuscripta Math. 144 (2014), no. 1, 99--133.
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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.
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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.
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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
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Local structure of the moduli space of K3 surfaces
in positive characteristic
(link).
Int. Math. Res. Not. IMRN 2009, no. 23, 4480--4495.
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Special lifts of ordinary K3 surfaces and applications
(2010.4.27).
Pure Appl. Math. Q. 8 (2012), no.3, 805--824.
Last updated 2026.9.15. (y.m.d)