2003年6月毕业于北京大学数学科学学院，获博士学位

几何与代数，线性代数，数学物理方程与特殊函数，复变函数，微积分等

复分析

2005年，全国百篇优秀博士学位论文

2009年，清华大学优秀班主任

1.   G. W. Yao, On infinitesimally weakly non-decreasable Beltrami differentials, Kodai Math. J. 43 (2020), no. 2. 339-348.

2.   G. W. Yao, Geodesic disks in the universal asymptotic Teichmüller space, Trans. Amer. Math. Soc. 371 (2019), no. 11, 7707–7724.

3.   G. W. Yao, On non-uniqueness of weakly non-decreasable extremal dilatations, Studia Math. 247 (2019), no. 3, 241–250.

4.   G. W. Yao, Angular derivatives of quasiconformal harmonic maps on the Poincaré disk, Math. Z. 288 (2018), no. 1-2, 115–123.

5.   G. W. Yao, Non-decreasable extremal Beltrami differentials of non-landslide type, Int. J. Math. 29 (2018), no. 10, 1850066, 1-16.

6.   G. W. Yao, On nonuniqueness of geodesics in asymptotic Teichmüller space, J. Geom. Anal. 27 (2017), no.2, 1445-1667.

7.    G. W. Yao, A binary infinitesimal form of Teichmüller metric, J. Anal. Math. 131 (2017), 323-335.

8.    G. W. Yao, On trivial and locally trivial Beltrami differentials, Bull. London Math. Soc. 49 (2017), no.2, 291-303.

9.    G. W. Yao, On Reich sequence for uniquely extremal quasiconformal mapping of Teichmüller type, Results Math. 71 (2017), no. 3-4, 997-1014.

10.    G. W. Yao, Infinitesimally extremal Beltrami differentials of non-landslide type, Complex Var. Elliptic Equ. 62 (2017), no. 11. 1601-1610.

11.    G. W. Yao, Non-decreasable and weakly non-decreasable dilatations, J. Austral. Math. Soc. 102 (2017), no. 3, 420-434.

12.    G. W. Yao, Extremal Beltrami differentials of non-landslide type, P. Edinburgh Math. Soc. (2), 60 (2017), no. 2, 519-526.

13.    G. W. Yao, On nonuniqueness of geodesic disks in infinite-dimensional Teichmüller spaces, Monatsh Math. 181 (2016), no. 1, 235-244.

14.    G. W. Yao, On compactness of quasiconformal harmonic maps on the Poincaré disk, Comput. Methods Funct. Theory, 16 (2016), no. 3, 365-374.

15.    G. W. Yao, Asymptotically conformal classes and non-Strebel points, Studia Math. 233 (2016), no. 1, 13-24.

16.    G. W. Yao, A note on holomorphic quadratic differentials on the unit disk, Kodai Math. J. 39 (2016), 72-79.

17.    G. W. Yao, Local boundary dilatation attained by asymptotical extremal, Complex Var. Elliptic Equ. 61 (2016), no. 2, 275-283.

18.    G. W. Yao, Gluing quasiconformal mappings in the plane, Houston J. Math. 41 (2015), no. 4, 1107-1117.

19.    G. W. Yao, On the landslide set of extremal quasiconformal mappings, Kyushu J. Math. 69 (2015), no.2, 285-291.

20.    G. W. Yao, Maximal open radius for Strebel point, Monatsh Math. 178 (2015), no. 2, 311-324.

21.    G. W. Yao, Infinitesimal local boundary dilatation attained by asymptotical extremal, New York J. Math. 21 (2015), 801-809.

22.    G. W. Yao, On completing triangles in Teichmüller space, Filomat. 29 (2015), no.2, 343-350.

23.    G. W. Yao, Hamilton sequences for extremal quasiconformal mappings of doubly-connected domains, Bull. Austral. Math. Soc. 88 (2013), no. 3, 376-379.

24.    G. W. Yao, Comparing hyperbolic distance with Kra’s distance on the unit disk, Osaka J. Math. 49 (2012), no.2, 349-356.

25.    G. W. Yao, Transformations of spheres without the injectivity assumption, in: Quasiconformal Mappings, Riemann Surfaces, and Teichmuller Spaces, Contemporary Mathematics, vol. 575, Amer. Math. Soc., Providence, RI, 2012, pp. 371-375.

26.    G. W. Yao, Fundamental theorem of hyperbolic geometry without the injectivity assumption, Math. Nachr. 284 (2011), no. 11-12, 1577-1582.

27.    G. W. Yao, Existence of extremal Beltrami coefficients with nonconstant modulus, Nagoya Math. J. 199 (2010), 1-14.

28.    Z. Chen, X. Zheng and G. W. Yao, Quadrilaterals, extremal quasiconformal extensions and Hamilton sequences, Appl. Math. J. Chinese Univ. Ser. B, 25 (2010), no. 2, 217-226.

29.    B. K. Li and G. W. Yao, On characterizations of sphere-preserving maps, Math. Proc. Cambridge Philos. Soc. 147 (2009), no.2, 439-446.

30.    G. W. Yao, Some characterizations of unique extremality, J. Math. Anal. Appl. 343 (2008), no. 1, 31-39.

31.    G. W. Yao, Unique extremality, local extremality and extremal non-decreasable dilatations, Bull. Austral. Math. Soc. 75 (2007), no.3, 321-329.

32.    G. W. Yao, Harmonic maps and asymptotic Teichmüller space, Manuscripta Math. 122 (2007), no. 4, 375-389.

33.    G. W. Yao, On existence of degenerate circle-preserving maps, J. Math. Anal. Appl. 334 (2007), 950-953.

34.    G. W. Yao and Y. Qi, On the modulus of extremal Beltrami coefficients, J. Math. Kyoto Univ. 46 (2006), no. 2, 235-247.

35.    G. W. Yao, -energy integral and uniqueness of harmonic maps, Math. Nachr. 278 (2005), no. 9, 1086-1096.

36.    G. W. Yao, On extremality of two connected locally extremal Beltrami coefficients, Bull. Austral. Math. Soc. Vol. 71 (2005), no. 1, 37-40.

37.    G. W. Yao, On Hamilton sequences of extremal Teichmüller mappings, Acta. Sci. Natur. Univ. Pekinensis, 41 (2005), no. 5, 663-666.

38.    G. W. Yao, Is there always an extremal Teichmüller mapping? J. Anal. Math. Vol. 94 (2004), 363-375.

39.    G. W. Yao, Hamilton sequences and extremality for certain Teichmüller mappings, Ann. Acad. Sci. Fenn. Math. 29 (2004), no. 1, 185-194.

40.    G. W. Yao, A proof of Sethares’ conjecture, Science in China, Ser. A. Math. Vol. 47, no. 2, 236-244 (2004).

41.    G. W. Yao, On criteria for extremality of Teichmüller mappings, Proc. Amer. Math. Soc. 132 (2004), no. 9, 2647-2654.

42.    G. W. Yao, Convergence of harmonic maps on the Poincaré disk, Proc. Amer. Math. Soc. 132 (2004), no. 8, 2483-2493.

43.    G. W. Yao, -energy integral and harmonic mappings, Proc. Amer. Math. Soc. 131 (2003), no. 7, 2271-2277.