袁瑤(數學家)

袁瑤(數學家)

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研究領域代數幾何,模空間,代數曲面,射影概型教育背景

2000-2004 學士 清華大學

2004-2006 碩士 清華大學

2006-2010 博士 義大利國際高等研究院

工作經歷,發表論文,

工作經歷

2015 助理教授 清華大學丘成桐數學科學中心
2012-2015 博士後清華大學丘成桐數學科學中心
2011-2012 博士後 德國波恩馬普數學所
2011 博士後義大利理論物理研究所

發表論文

[1]袁瑤,Estimates of sections of determinant line bundles on Moduli spaces of pure sheaves on algebraic surfaces,Manuscripta Math. 137 (2012), no. 1-2, 57-79, MR2855850.
[2] 袁瑤,Determinant line bundles on Moduli spaces of pure sheaves on rational surfaces and Strange Duality,Asian J. Math. 16 (2012), no. 3, 451-478, MR2989230, Zbl 1262.14013.
[3] 袁瑤,Moduli spaces of semistable sheaves of dimension 1 on,Pure Appl. Math. Q.,Vol. 10, No. 4, pp 723-766,2014
[4] 袁瑤,Affine pavings for moduli spaces of puresheaves onwith degree5,GeometriaeDedicata, Vol. 177, Issue 1 (2015), pp. 385-400, MR3370040.
[5] 袁瑤,Motivic measures of moduli spaces of 1-dimensional sheaves on rational surfaces,Commun. Contemp. Math. 20 (2018), no. 3, 1750019, 32 pp, MR3766729.
[6] 袁瑤,Moduli spaces of 1-dimensional semi-stable sheaves and Strange duality on, Advances in Mathematics, 318 (2017) 130-157.
[7] Lothar Göttsche, 袁瑤,Generating functions for K-theoretic Donaldson invariants and Le Potier's strange duality, J. Algebraic Geom. accepted, arXiv: 1512.06648.
[8] 袁瑤,Strangeduality on rational surfaces,J. Differential Geom.,accepted, arXiv:1604.05509.
[9]袁瑤,Strange duality on rational surfaces II: higher rank cases,Int. Math. Res. Not. IMRN, accepted, DOI: 10.1093/imrn/rny133, arXiv: 1703.06665.
[10]袁瑤,Strange duality onvia quiver representations,arXiv: 1807.09172.

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