Welcome to Weiyi Zhang's Homepage
Contact Info
I am an associate professor at University of Warwick.
Email: weiyi.zhang@warwick.ac.uk
Tel: +44(0)24 765 28318
Office:
B1.09
Mathematics Institute
Zeeman Building
Research Interests
My research interests contain symplectic topology, complex geometry and the interactions between them.
For more, see my CV.
Conferences Organizing
Workshop on Geometry and Mathematical Physics, U. Warwick, July 9-10 2018
AMS/CMS joint meeting, Special session on Symplectic Geometry, Shanghai, June 11-14 2018
Interactions of Symplectic and Algebraic Geometry, U. Warwick, August 1-4 2017
Great Lakes Geometry Conference 2015, Ann Arbor, Mar 13-15 2015
One day event on complex geometry and symplectic topology , U. Warwick, Nov 3 2014
Workshop
on symplectic birational geometry, Ann Arbor, Oct 3-5 2014
Warwick-Seoul National University Symplectic Geometry Workshop, U. Warwick, Feb 18-19 2014
Teaching
Some notes:
MA 3D9 Geometry of curves and
surfaces (2016)
MA 4E0 Lie Groups (2018)
MA 4J7 Cohomology and Poincare duality (2013)
MA 954 Complex Geometry (2020)
Publications
19. (With Louis Bonthrone) J-holomorphic curves from closed J-anti-invariant forms, arXiv:1808.09356, submitted.
18. (With Haojie Chen) Kodaira dimensions of almost complex manifolds, arXiv:1808.00885, submitted.
17. Intersection of almost complex submanifolds, arXiv:1707.08253, to appear in Camb. J. Math.
16. Moduli space of J-holomorphic subvarieties, arXiv:1601.07855, submitted.
15. The curve cone of almost complex 4-manifolds, arXiv:1501.06744, Proc. Lond. Math. Soc. (3) 115 (2017), no. 6, 1227--1275.
14. Geometric structures, Gromov norm and Kodaira dimensions, arXiv:1404.4231, Adv. Math. 308 (2017), 1--35.
13. (With Anar Akhmedov) The fundamental group of symplectic 4-manifolds with b+=1, submitted.
12. (With Tian-Jun Li) J-holomorphic curves in a nef class, arXiv:1210.3337, Int. Math. Res. Not. IMRN 2015, no. 22, 12070--12104.
We study curve configurations in this paper...
11. (With Tian-Jun Li) Almost Kahler forms on rational 4-manifolds, arXiv:1210.2377, Amer. J. Math. 137 (2015), no. 5, 1209--1256.
This paper studies Nakai-Moishezon type question and Donaldson's "tamed to compatible"...
10. (With Daniel Angella and Adriano Tomassini) On cohomological
decomposability of almost-Kahler structures,
arXiv:1211.2928, Proc. Amer. Math. Soc. 142 (2014), no. 10, 3615--3630. MR3238437
In this paper, we discuss the cohomological decomposability...
9. From Taubes currents to almost Kahler forms, Math. Ann. 356 (2013), no. 3, 969--978. MR3063903
Taubes current is introduced in Taubes' "tamed to compatible" paper...
8. (With Tedi Draghici) A note on exact forms on almost complex manifolds, arXiv:1111.7287, Math. Res. Lett. 19 (2012), no. 3, 691--697.
The main goal of this note is to demonstrate...
7. (With Tedi Draghici and Tian-Jun Li) On the J-anti-invariant cohomology of almost complex 4-manifolds , arXiv:1104.2511 , Q. J. Math. 64 (2013), no. 1, 83--111. MR3032090
This is the second paper of a series written with Draghici and Li...
6. (With Tedi Draghici and Tian-Jun Li) Geometry of tamed almost complex structures in dimension 4 , Fifth International Congress of Chinese Mathematicians. Part 1, 2, 233--251, AMS/IP Stud. Adv. Math., 51, pt. 1, 2, Amer. Math. Soc., Providence, RI, 2012. MR2908071
This is mainly a survey paper...
5. (With Tian-Jun Li) Additivity and Relative Kodaira Dimensions, arXiv:0904.4294, Geometric and Analysis, Vol II (Yau's 60th birthday conference), 103--135, Advanced Lectures in Mathematics, No. 18.
This paper is dedicated to Yau...
4. (With Tedi Draghici and Tian-Jun Li) Symplectic forms and cohomology decomposition of almost complex 4-manifolds , arXiv:0812.3680 , Int. Math. Res. Not. IMRN 2010, no. 1, 1--17. MR2576281
This paper is a continuation of the previous paper...
3. (With Josef G. Dorfmeister) The Kodaira Dimension of Lefschetz Fibrations , arXiv:0809.4861 , Asian J. Math. 13 (2009), no. 3, 341--357. MR2570443
This paper is a joint work with my academic brother Josef. G. Dorfmeister...
2. (With Tian-Jun Li) Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds , Comm. Anal. Geom. 17 (2009), no. 4, 651--683, arXiv:0708.2520. MR2601348
This paper is written with my advisor Tian-Jun Li...
1. (With Bohan Fang and Xiao-Jiang Tan) Some results on special stable vector bundles of rank 3 on algebraic curves.
Acta Math. Sin. (Engl. Ser.) 24 (2008), no. 3, 417--430. MR2393168
Xiao-Jiang Tan is a Professor in Peking University...
Links
Math ArXiv, MathSciNet, Math Genealogy, Terry Tao's blog
Wikipedia, Google, Sohu, Youtube, The New Yorker
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