Altermagnets have a distinctive pattern of spin splitting in their electronic and magnonic band structures that make them attractive for potential spintronic applications. At the lab we are interested in the fundamental condensed matter physics of these newly discovered materials with on-going work in both theoretical and experimental directions. This internship on theoretical condensed matter physics will explore the role of spin symmetries in condensed matter systems and especially generalizations of altermagnetism beyond the limit of collinear magnetism.