Department of Mathematics, National Taiwan
University, Taipei, Taiwan
Education
1991-1998: National Taiwan Normal University,
Taipei, Taiwan. Ph.D. in Mathematics
1988-1990: National Taiwan Normal University,
Taipei, Taiwan. M.A. in Mathematics
1983-1987: National Taiwan University, Taipei,
Taiwan. B.A. in Mathematics
Occupation
Professor at National Taiwan University since
August 2008.
Associate Professor at National Central
University, August 2004 to July 2008.
Assistant Professor at National Central
University, August 2001 to July 2004.
Postdoctor at the National Center of Theoretic
Sciences, July 2000 to July 2001.
Postdoctor at the Institute of Mathematics,
Academia Sinica, August 1998 to June 2000.
International visitings
Institute of Mathematics and System Sciences at
Beijing, March 2016.
University of Utah, July to August 2010.
Korea Institute for Advanced Study (KIAS),
November 2008.
Institute Hautes Etudes Scientifiques (IHES),
July 2006.
Harvard University, February to May 2001.
Research
interests
Algebraic Geometry
Commutative Algebra
Mirror
Symmetry
Research works
On
crepant resolutions of some hypersurface singularities and a
criterion for UFD, Trans. AMS. 354, No. 5 (2002),
1861-1868. pdf.
(with B.
Hassett and C.-L. Wang) Weak Lefschetz principle is false
for ample cone, Asian J. of Math. 6 (2002),
95-100. pdf.
Combinatorial
method in adjoint linear systems on toric varieties,
Michigan Math. J. 51 (2003), 491-501. pdf.
Quantum
invariance of simple flops, Proceedings of the fourth
International Congress for Chinese Mathematicians, Higher
Education Press 2007. pdf.
(with
Y.-P. Lee and C.-L. Wang) Flops, motives and invariance of
quantum rings, Annals of Math. 172, no. 1 (2010),
243-290. pdf.
Quantum
invariance under P^1 flops of type (k+2,k), Advanced
Studies in Pure Mathematics 60 (2010), 271-300. pdf.
(with Y.
Iwao, Y.-P. Lee and C.-L. Wang) Invariance of
Gromov-Witten theory under simple flops, J. Reine.
Angew. Math. 663 (2012), 67-90. pdf (the version
with appendix pdf)
(with
Y.-P. Lee and C.-L. Wang) Analytic continuations of
quantum cohomology, AMS/IP Studies in Advanced
Mathematics, Vol. 51 (2012), 269-282. pdf.
(with
Y.-P. Lee and C.-L. Wang) Invariance of quantum rings
under ordinary flops I: Quantum corrections and reduction to
local models, Algebraic Geometry, Vol. 3, No. 5 (2016),
pp. 578-614. pdf.
(with
Y.-P. Lee and C.-L. Wang) Invariance of quantum rings
under ordinary flops II: A quantum Leray—Hirsch theorem,
Algebraic Geometry, Vol. 3, No. 5 (2016), pp. 615-653. pdf.
(with
Y.-P. Lee, F. Qu and C.-L. Wang) Invariance of quantum
rings under ordinary flops III: A quantum splitting
principle, Cambridge Journal of Mathematics, Vol. 4,
No. 3 (2016), pp. 333-401. pdf.
(with
Y.-P. Lee and C.-L. Wang) Towards A + B theory in conifold
transitions for Calabi-Yau threefolds, Journal of
Differential Geometry, Vol. 110, No. 3 (2018), pp. 495-541.pdf.
(with
Y.-P. Lee and C.-L. Wang) Quantum Cohomology under
birational maps and transitions, "Proceeding of the
String-Math Conference 2015 at TSIMF, Sanya", AMS Proceedings
of Symposia in Pure Mathematics, Vol. 96 (2017), pp. 149-168.
arXiv:1705.04799.
(with
T.-J. Lee) Tautological systems under the conifold
transition on G(2,4), Asian J. of Math. 23, no. 3
(2019), 501–526. pdf.
(with
Y.-P. Lee and C.-L. Wang) Quantum flips I:local model,
Dubrovin memorial volume; AMS Proceedings of Symposia in Pure
Mathematics, Vol. 103.2(2021), pp. 303-352. pdf
Recent talks
(selective)
November 2008, “Algebraic Geometry in East Asia” at KIAS.
Title: Quantum invariance under flops.
December 2010, “The Fifth
International Congress of Chinese Mathematicians
ICCM-2010” at Tsinghua University, Beijing. Title: Analytic
continuation of Quantum cohomology.
November 2011,
“Algebraic Geometry in East Asia” at Taipei, Title: Quantum
Leray Hirsch theorem.
July 2013, “The Sixth
International Congress of Chinese Mathematicians
ICCM-2010” at National
Taiwan University, Taipei. Title: Quantum Leray Hirsch
theorem and Analytic continuation.
March 2016, “4th Beijing
Algebraic Geometry Colloquium” at Chinese Academy of Sciences,
Beijing. Title: Quantum cohomology under smooth
blow-ups along complete intersections.
June 2016, “Workshop on Global
Mirror Symmetry” at Chern Institute of
Mathematics, Tianjin. Title: Quantum
invariance under ordinary flops.
December 2018, "2018
Annual meeting of International Consortium of
Chinese Mathematics" at National Taiwan
University, Taipei. Title: Quantum Flips.
