Chin-Lung Wang

- CV in pdf updated August, 2020

Education

Harvard University, Cambridge, Massachusetts. Ph.D. in Mathematics, 1993–1998. Advisor: Shing-Tung Yau. Dissertation:Topology of birational manifolds and applications to degenerations,pdf

National Taiwan University, Taipei, Taiwan. B.A. in Mathematics, 1986–1990.

Affiliation and Position

ProfessoratNational Taiwan Universitysince August 2008.

ProfessoratNational Central University, August 2004 to July 2008.

Associate ProfessoratNational Central University, February 2004 to July 2004.

Associate ProfessoratNational Tsing-Hua University,August 2001 to January 2004.

Assistant ProfessoratNational Tsing-Hua University, August 2000 to July 2001.

Assistant ProfessoratNational Taiwan University, August 1998 to July 2000.

Research Fields and Summary of Works

Algebraic Geometry,Differential GeometryandHodge Theory.

I got interested in K-equivalence relation in birational geometry since my early career and I had worked on a series of conjectures surrounding it. Notably the motivic conjecture predicts the equivalence of Chow motives.

For those cases that the motivic conjecture holds, one may proceed to study quantum invariance under analytic continuations. Together with H.-W. Lin and Y.-P. Lee (LLW), we achieved the goal for general ordinary flops.

I also worked on mean field equations on tori with critical parameters, where the solvability is sensitive to the conformal structures. With C.-S. Lin and C.-L. Chai we have laid the foundation via Lame curves and pre-modular forms.

I raised the idea of A + B theory for Calabi—Yau 3-folds in my inaugural speech at TIMS in 2009. Partial success was recently achieved by the LLW team by studying the GW invariants linked with the B-model vanishing cycles.

We also made progresses on the functoriality of quantum cohomology under blowups with complete intersection centers and under simple flips by techniques of quantum D modules and F-manifolds.

Publications

- See Researches or General Articles

Recent Honors

NTU chair professor, since 2012

NTU Shih, Kung-Sing Memorial Chair, 2019-2024

Dissertations Supervised

PhD Thesis

Keng-Li Lin (林耿立), NCU 2010.

Counting solutions of the mean field equations on tori via algebraic goemetry

Sz-Sheng Wang (王賜聖), NTU 2015.

The connectedness problem of Calabi--Yau moduli spaces

Tsung-Ju Lee (李宗儒, co-supervised with Hui-Wen Lin), NTU 2016.

Geometry arising from periods of Calabi--Yau degenerations and transitions

Master Thesis

Cherng-tiao Perng (彭成條), NTU 1999,

A discussion ofduality problem in the context of intersection cohomology, pdf

Yu-Jen Shu (徐玉真), NTU 2000,

Vanishing Theorems: A discussison of techniques, pdf

Sinhua Lai (賴馨華), NCU 2007,

k-Noncollapsing estimates along the Ricci flow, pdf

Sz-Sheng Wang (王賜聖), NCU 2009.

Extensions of multiply twisted pluricanonical forms(2009Taiwan Mathematical SocietyDistinguished Master Thesis, 2009New World Mathematics AwardGold Medal for Master Thesis), pdf

Shih-Kai Chiu (邱詩凱), NTU 2014,

On the existence problem of special Lagrangian spheres, pdf

Bachelor Thesis

Cheng-Chiang Tsai (蔡政江), NTU 2010. (1)

On the behavior of Newton iteration(2007New World Mathematics AwardGold Medal for Bachelor Thesis), pdf; (2)Localization on moduli spaces and multiple cover formula,pdf

You-Cheng Chou (周祐正), NTU 2014.

Generalized Lame equations with finite monodromy(2014New World Mathematics AwardGold Medal for Bachelor Thesis), pdf. arXiv:1611.06643.

- Shih-Wei (Wille) Liu (劉士瑋), NTU 2016.
Motivic equivalence under semismall flops(2016New World Mathematics AwardGold Medal for Bachelor Thesis), pdf. arXiv:1603.06152.