Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 77, pp. 1-14. Title: Standing waves to Chern-Simons-Schrodinger systems with critical exponential growth Authors: Youyan Wan (Jianghan Univ., Wuhan, Hubei, China) Jinggang Tan (Jiangxi Normal Univ., Nanchang, China) Abstract: In this article we study the existence of standing waves to nonlinear Chern-Simons-Schrodinger systems with critical exponential growth. Submitted July 9, 2021. Published September 15, 2021. Math Subject Classifications: 35J50, 35J10. Key Words: Chern-Simons gauge field; Schrodinger equation; Moser-Trudinger inequality.