已在拟共形特殊函数、拟双曲几何和拟共形映射的几何和分析，以及双曲型度量几何等方面做了深入的研究。特别是近年来给出了距离比度量在Möbius变换下的精确Lipschitz系数估计，刻画了双曲Lambert四边形在拟共形映射下的形变，引入了visual angle度量和拟反射的概念，并刻画了拟反射的拟共形性等等。在《中国科学》、《数学年刊》、《数学物理学报》、《Proc. Amer. Math. Soc.》、《Proc. Roy. Soc. Edinburgh Sect. A》、《Ann. Acad. Sci. Fenn. Math.》、《Math. Scand.》、《J. Math. Anal. Appl.》、《Proc. Edinburgh Math. Soc.》、《Comput. Method Funct. Theory》和《Monatshefte Math.》等国际重要数学期刊上发表论文50余篇。

近年来主要论文：

(1)Wang Gendi, The Adjacent Sides of Hyperbolic Lambert Quadrilaterals, Bull. Malays. Math. Sci. Soc., 2016, DOI 10.1007/s40840-016-0439-7

(2)Wang Gendi, The inverse hyperbolic tangent function and Jacobian sine function, J. Math. Anal. Appl., 2017, 448(1): 498-505.

(3) Wang Gendi，Vuorinen M, The visual angle metric and quasiregular maps, Proc. Amer. Math. Soc., 2016, 144(11): 4899-4912.

(4) Wang Gendi, Zhang Xiaohui, Chu Yuming, A power mean inequality involving the complete elliptic integrals. Rocky Mountain J. Math. 2014, 44 (5): 1661-1667. 

(5) Wang Gendi, Zhang Xiaohui, Jiang Yueping, Hölder concavity and inequalities for Jacobian elliptic functions. Integral Transforms Spec. Funct. 2012, 23 (5): 337-345.

(6) Wang Gendi, Zhang Xiaohui, Jiang Yueping, Concavity with respect to Hölder means involving the generalized Grötzsch function. J. Math. Anal. Appl.  2011, 379 (1):  200–204. 

(7) Wang Gendi, Zhang Xiaohui, Chu Yuming, A power mean inequality for the Grötzsch ring function. Math. Inequal. Appl. 2011, 14(4):  833–837.

(8) 王根娣，张孝惠，褚玉明, Hersch-Pfluger偏差函数的Hölder平均不等式. 中国科学,  2010, 40 (8): 783- 786.

(9) Kalaj David, Vuorinen Matti, Wang Gendi, On quasi-inversions, Monatsh Math., 2016, 180:785–813.

(10) Hariri Parisa, Vuorinen Matti, Wang Gendi, Some Remarks on the Visual Angle Metric, Comput. Methods Funct. Theory, 2016, 16 (1): 187–201. 

(11) Simic Slavko, Vuorinen Matti, Wang Gendi, Sharp Lipschitz constants for the distance ratio metric , Math. Scand.  2015, 116(1): 86 –103.

(12) Klén Riku, Lindén Henri, Vuorinen Matti, Wang Gendi, The visual angle metric and Möbius transformations. Comput. Methods Funct. Theory, 2014, 14 (2): 577–608. 

(13) Vuorinen Matti, Wang, Gendi, Bisection of geodesic segments in hyperbolic geometry. Complex analysis and dynamical systems V, 273–290, Contemp. Math., 591, Amer. Math. Soc., Providence, RI, 2013.  

(14)Vuorinen Matti, Wang Gendi, Hyperbolic Lambert quadrilaterals and quasi- conformal mappings. Ann. Acad. Sci. Fenn. Math. 2013, 38(2): 433–453.