Links to research papers in pdf
Last update: January 17, 2020
Papers on arXiv,
on MathSciDoc,
reviewed in
AMS MathSciNet .
- [*] A blow-up formula in GW theory, (with
Y.-P. Lee and H.-W. Lin) work in progress.
- [pdf]
Algebraic methods in periodic singular Liouville equations, in
"Proceeding of the International Consortium of Chinese
Mathematicians 2017", International Press 2021, Boston,
51–101.
- [pdf]
Quantum flips I: local model, (with Y.-P. Lee and H.-W. Lin),
in "Integrability, Quantization, and Geometry II (Dubrovin
memorial volume)", AMS Proceedings of Symposia in Pure
Mathematics 103.2 (2021), 303–352. arXiv:1912.03012.
- [pdf]
Geometric quantities arising from bubbling analysis of mean
field equations, (with C.-S. Lin), Comm. Anal. Geom. 28
(2020), no. 6, 1289–1313 arXiv:1609.07204.
- [pdf]
Aspects on Calabi–Yau moduli, in "Proceeding of
Uniformizations, Riemann–Hilbert correspondence, Calabi–Yau
manifolds, and Picard–Fuchs equations, Mittag–Leffler
Institute 2015", Advanced Lectures in Mathematics 42 (2018),
529–552.
- [pdf]
Towards A + B theory in conifold transitions for Calabi–Yau
threefolds, (with Y.-P. Lee and H.-W. Lin), J. Differential
Geometry 110 (2018), no. 3, 495–541, arXiv:1502.03277.
- [pdf]
Green function, Painlevé VI equation, and Eisenstein series of
weight one, (with Z. Chen, T.-J. Kuo and C.-S. Lin), J.
Differential Geometry 108 (2018), 185–241.
- [pdf]
Quantum cohomology under birational maps and transitions,
(with Y.-P. Lee and H.-W. Lin), in "Proceedings of the
String-Math Conference 2015 at TSIMF, Sanya", AMS Proceedings
of Symposia in Pure Mathematics 96 (2017), 149–168. arXiv:1705.04799.
- [pdf]
On the minimality of extra critical points of Green functions
on flat tori, (with C.-S. Lin), Int. Math. Res. Notices
(2017), no. 18, 5591–5608.
- [pdf] Mean
field equations, hyperelliptic curves and modular forms II,
with an appendix by Y.-C. Chou, (with C.-S. Lin), Journal de
l’École polytechnique – Mathématiques 4 (2017), 557–593. arXiv:1502.03295.
- [pdf]
Invariance of quantum rings under ordinary flops III: A
quantum splitting principle, (with Y.-P. Lee, H.-W. Lin and F.
Qu), Cambridge J. of Math. 4 (2016), no. 3, 333–401. arXiv:1401.7097.
- [pdf]
Invariance of quantum rings under ordinary flops II: A quantum
Leray–Hirsch theorem, (with Y.-P. Lee and H.-W. Lin),
Algebraic Geometry 3 (2016), no. 5, 615–653. arXiv:1311.5725.
- [pdf]
Invariance of quantum rings under ordinary flops I: Quantum
corrections and reduction to local models, (with Y.-P. Lee and
H.-W. Lin), Algebraic Geometry 3 (2016), no. 5, 578–614. arXiv:1109.5540.
(Here for the original
combined version.)
- [pdf]
Mean field equations, hyperelliptic curves and modular forms
I, (with C.-L. Chai and C.-S. Lin), Cambridge J. of Math. 3
(2015), no. 1–2, 127–274. arXiv:1502.03297.
- [pdf]
Invariance of Gromov–Witten theory under a simple flop, (with
Y. Iwao, Y.-P. Lee and H.-W. Lin), J. reine angew. Math. 663
(2012), 67–90. arXiv:0804.3816.
- [pdf]
Analytic continuations on quantum cohomology, in "Proceeding
of the Fifth International Congress of Chinese Mathematicians,
Beijing 2010", AMS/IP Studies in Advanced Mathematics 51
(2012), 269–282.
- [pdf]
Extensions of multiply twisted pluri-canonical forms, (with
C.-Y. Chi and S.-S. Wang), Pure Appl. Math. Quarterly 7
(2011), no. 4, 1129–1164. arXiv:1101.2077.
- [pdf] Quantum
invariance under flop transitions, in "Geometric Analysis:
Present and Future", Adv. Lect. Math. 18 (2010), 347–370.
- [pdf]
A function theoretic view of the mean field equations on tori,
(with C.-S. Lin), Adv. Lect. Math. 11 (2010), 173–193.
- [pdf]
Elliptic functions, Green functions and the mean field
equations on tori, (with C.-S. Lin), Annals of Math. 172
(2010), no. 2, 911–954. arXiv:math/0608358.
- [pdf]
Flops, motives and invariance of quantum rings, (with Y.-P.
Lee and H.-W. Lin), Annals of Math. 172 (2010), no. 1,
243–290. arXiv:math/0608370.
- [pdf]
Motivic and quantum invariance under stratified Mukai flops,
(with B. Fu), J. Differential Geometry 80 (2008), no. 2,
261–280. arXiv:0801.3551.
- [pdf]
K-equivalence in birational geometry, in "Proceeding of the
Second International Congress of Chinese Mathematicians,
Taipei 2001", New Stud. Adv. Math. 4 (2004), 199–216. arXiv:math/0204160.
- [pdf]
Curvature properties of the Calabi–Yau moduli, Documenta
Mathematica 8 (2003), 577–590.
- [pdf]
Quasi-Hodge metrics and canonical singularities, Math. Res.
Lett. 10 (2003), 57–70. arXiv:math/0211456.
- [pdf]
K-equivalence in birational geometry and characterizations of
complex elliptic genera, J. Algebraic Geometry 12 (2003), no.
2, 285–306. arXiv:math/0103063.
- [pdf]
Cohomology theory in birational geometry, J. Differential
Geometry 60 (2002), no. 2, 345–354.
- [pdf]
Weak Lefschetz principle is false for ample cone, (with B.
Hassett and H.-W. Lin), Asian J. of Math. 6 (2002), 95–100.
- [pdf]
On the topology of birational minimal models, J. Differential
Geometry 50 (1998), no. 1, 129–146. arXiv:math/9804050.
- [pdf]
On the incompleteness of the Weil–Petersson metric along
degenerations of Calabi–Yau manifolds, Math. Res. Lett. 4
(1997), 157–171. (Here
for the update of section 3 from my 1998 Dissertation
concerning non-trivial monodromy.)
Co-authors
Zhijie Chen, Chen-Yu Chi, You-Chen Chou, Ching-Li
Chai, Baohua Fu, Brendan Hassett,
Y. Iwao, Ting-Jung Kuo, Yuan-Pin Lee, Chang-Shou
Lin, Hui-Wen
Lin, Feng Qu, Sz-Sheng Wang