From July 3 to 7, 2024, Taras Shevchenko National University of Kyiv, A.S. Makarenko Sumy State Pedagogical University, and the Institute of Mathematics of the National Academy of Sciences of Ukraine held the 14th Ukraine Algebra Conference as part of a series of biannual conferences originally initiated by V. Kirichenko, V. Sushchansky, and V. Usenko. The 14th Ukraine Algebra Conference was held online due to Russian bombings. It brought together 350 participants from nearly 40 countries and featured 150 talks. The conference proceedings consist of two volumes: Volume 1 contains papers on Representation Theory, and Volume 2 contains papers on Groups and Algebras.