数学科学研究所
Insitute of Mathematical Science

涂君武 JunWu Tu

Career

• 2018-present, Associate Professor, ShanghaiTech University

• 2014—2018, Assistant Professor, University of Missouri, Columbia
• 2011—2014, Visiting Assistant Professor, University of Oregon, Eugene, OR
• 2005—2011, Teaching Assistant, University of Wisconsin-Madison, Madison, WI


Education
• August 2011, Ph.D. (Mathematics), University of Wisconsin-Madison, Madison, WI, Advisor: Dr. Andrei Ca˘lda˘raru – Thesis: Koszul duality and its applications in algebraic geometry
• June 2005, Bachelor of Science (Mathematics), Nanjing University, Nanjing, China


Research
My research centers around homological algebra and its applications in algebraic geometry, symplectic geometry, homological mirror symmetry and data sciences. Recently, I have been working on defining and understanding categorical Gromov-Witten invariants.


Publications
1. Lino Amorim, Junwu Tu.  
Tensor product of cyclic A-infinity algebras and their Kontsevich classes.  
Transactions of the AMS, DOI:https://doi.org/10.1090/tran/7321, 2017, 33pp. (Article in press which have not yet published).
2. Junwu Tu.
Homological Mirror Symmetry and Fourier-Mukai Transform.
International Mathematics Research Notices, January 2015, Volume 2015, Issue 3-1, Pages 579-630.
3. Alexander Polishchuk, Junwu Tu.  
DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms.
Mathematische Annalen, October 2014, Volume 360, Issue 1-2, Pages 79-156.
4. Junwu Tu
Matrix factorizations via Koszul duality
Compositio Mathematica, September 2014, Volume 150, Issue 9, Pages 1549-1578.
5. Damien Calaque, Andrei Caldararu, Junwu Tu.  
On the Lie algebroid of a derived self-intersection.
Advances in Mathematics, September 2014, Volume 262, Pages 751-783.
6. Junwu Tu.  
On the reconstruction problem in mirror symmetry.
Advances in Mathematics, May 2014, Volume 256, Pages 449-478.
7. Damien Calaque, Andrei Caldararu, Junwu Tu.
PBW for an inclusion of Lie algebras.
Journal of Algebra, March 2013, Volume 378, Pages 64-79
8. Andrei Caldararu, Junwu Tu.
Curved A-infinity algebras and Landau-Ginzburg models.
New York Journal of Mathematics, 2013, Volume 19, Pages 305-342.

Email:

tujw@shanghaitech.edu.cn

Office: S418, School of Creativity & Arts




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