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Steven Sam works at the interface of combinatorics and representation theory in algebraic geometry. A major theme in his work involves commutative algebra with a focus on representation theory, particularly in the emerging area of representation stability. Representation theory studies symmetries and concerns the possible ways symmetries can act on objects. A significant aspect of his research within representation theory is focused on invariants of fixed symmetries. Sam has introduced invariant theory for twisted commutative algebras, which has garnered widespread interest in the field. He has made substantial contributions to understanding the finiteness properties of sequences of representations. Throughout his work, Sam has solved the Lannes-Schwartz Artinian conjecture, further establishing his expertise and contributions in mathematics.
Administered by the Scripps Institution of Oceanography. Curricular groups include Climate-Ocean-Atmosphere (COAP), Geosciences (GEO), and Ocean Biosciences (OBP).