In this talk, we give a formula for the number of lattice points in the dilations of Schubert matroid polytopes. As applications, we obtain the Ehrhart polynomials of uniform and minimal matroids as simple special cases, and give a recursive formula for the Ehrhart polynomials of (a, b)-Catalan matroids. Ferroni showed that uniform and minimal matroids are Ehrhart positive. We show that all sparse paving Schubert matroids are Ehrhart positive and their Ehrhart polynomials are coefficient-wisely bounded by those of minimal and uniform matroids. This confirms a conjecture of Ferroni for the case of sparse paving Schubert matroids. Furthermore, we express the Ehrhart polynomials of three families of Schubert matroids as positive combinations of the Ehrhart polynomials of uniform matroids, yielding Ehrhart positivity of these Schubert matroids. This is based on joint work with Yao Li（李垚）.