Math
A highly entertaining book on cellular automata: http://williampoundstone.net/Recursive.html
A book I've enjoyed on Riemann surfaces: https://bookstore.ams.org/gsm-5/
Do the mathematical outputs of the human mind coincide with those of the ideal computer? An interesting Penrose venture: https://www.pdcnet.org/collection/authorizedshow?id=jphil_2018_0115_0007_0337_0360&pdfname=jphil_2018_0115_0007_0337_0360.pdf&file_type=pdf&googlescholar=true
A singularity in the Euler equations: https://www.quantamagazine.org/famous-fluid-equations-spring-a-leak-20191218
A disproof of the strong cosmic censorship conjecture: https://www.quantamagazine.org/mathematicians-disprove-conjecture-made-to-save-black-holes-20180517/