Recent Results on Ramsey Numbers
Theory is the study of inevitable structure, with examples occurring in various areas, including Graph Theory, Number Theory and Geometry. In this mini-course we discuss recent major advances, including the new lower bound on R(4, k) and the exponential improvement for the upper bound on diagonal Ramsey numbers.
 F. Botler, M. Collares, T. Martins, W. Mendon¸ca, R. Morris and G. Mota, Combinatória, XXXIII Colóquio Brasileiro de Matemática (SBM/IMPA).
 M. Campos, S. Griffiths R. Morris and J. Sahasrabudhe, An exponential improvement for diagonal Ramsey, arXiv:2303.09521
 D. Conlon, J. Fox and B. Sudakov, Recent developments in graph Ramsey theory, Surveys in Combinatorics, 424 (2015), 49–118.
 S. Mattheus and J. Verstraete, The asymptotics of r(4, t), arXiv:2306.04007