Andrew R Linshaw

Andrew R Linshaw is a Professor in the Department of Mathematics at the University of Denver's College of Natural Sciences and Mathematics. He specializes in representation theory, vertex algebras, and their applications to mathematical physics. Linshaw received his Ph.D. in Mathematics from Brandeis University in 2005 under Bong H. Lian, followed by postdoctoral positions at institutions including the National University of Singapore and UC San Diego before joining DU in 2013. His research bridges pure mathematics and theoretical physics, with a focus on invariant theory, Lie algebras, and conformal field theories.

Linshaw teaches both undergraduate and graduate mathematics courses and has developed a first-year seminar on Mathematics and Art. His recent work explores topics like W-algebras, vertex algebras associated with super Lie algebras, and chiral de Rham complexes on geometric manifolds. He collaborates with mathematicians and physicists to advance understanding of algebraic structures in modern theoretical frameworks.

His publications from 2022–2025 highlight advancements in vertex algebra constructions, invariant theory for arc spaces, and applications to geometric and physical systems. Notable themes include modular representations of affine Lie algebras, orbifold vertex algebras, and trialities in orthosymplectic W-algebras. Linshaw's work contributes to foundational aspects of algebraic geometry and quantum field theory.