The 2nd International Sharjah Spring school 2019 is a sequel to the 1st Spring school which was organized by the Department of Mathematics between 25th-27th March,2018 at the University of Sharjah. The focus of this years spring school will be Algebra,Analysis,Topology and their applications.This event brings together professors, researchers, scholars, and students in the field of Pure mathematics and its Applications making it a perfect platform to share experience, foster collaborations across industry and academia. It will provide a stimulating opportunity to meet national and international experts. The primary aim of organizing such a school is to enhance the understanding of the targeted subject and to provide an opportunity for mathematicians to exchange ideas with their colleagues at the national and international level. The school will also provide opportunities for the participants to exchange new ideas, share knowledge and experiences to establish research relations and to find global partners for future collaborations. As a result, the event acquaints the mathematical community with the latest trends in mathematics.