June 2003, Ph.D., School of Mathematical Sciences, Peking University

Geometry and Algebra, Linear Algebra, Mathematical Physics Equations and Special Functions, Functions of one Complex variable, Calculus, among others

Complex Analysis

2005, National Outstanding Doctoral Dissertation (Top 100)

2009, Tsinghua University Outstanding Class Advisor

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.