The field is witnessing a significant shift towards the development of efficient algorithms and mathematical structures to solve complex problems. Researchers are focusing on creating innovative methods for computing and approximating mathematical objects, such as Jordan blocks and Thiele continued fractions. These advancements have the potential to improve the accuracy and speed of various applications in logic, computer science, and mathematics. Notably, the use of interpolation techniques and quadrature-based approximation schemes is becoming increasingly popular. Furthermore, the study of geometrical interpretations and partitions of integers is leading to new insights and discoveries. Overall, the field is moving towards a more computational and algorithmic approach, with a strong emphasis on efficiency and accuracy. Noteworthy papers include: An Exact Algorithm for Computing the Structure of Jordan Blocks, which proposes an efficient method for computing the structure of Jordan blocks. Greedy Thiele continued-fraction approximation on continuum domains in the complex plane, which describes an adaptive greedy algorithm for Thiele continued-fraction approximation.