Alex J Feingold

Alex J Feingold is a Professor in the Department of Mathematics and Statistics at Binghamton University, where he has taught since 1979. His research focuses on algebraic structures such as Kac-Moody Lie algebras, vertex operator algebras, and conformal field theory, with notable contributions to hyperbolic Weyl groups and fusion rules.

Education:

• Ph.D., Yale University (1977)

He teaches foundational and advanced courses like Linear Algebra (Math 304) and Advanced Linear Algebra (Math 404), often serving as course coordinator. His scholarly work includes collaborations with institutions like the Albert Einstein Institute and IHES, and he has supervised multiple Ph.D. students.

Research Trends: His publications span hyperbolic Kac-Moody algebras, modular forms, and mathematical physics, often intersecting with representation theory and combinatorics. Recent work includes decomposition of Kac-Moody algebras and fusion rule theorems.

Advising: He actively advises honor societies Phi Beta Kappa and Pi Mu Epsilon at Binghamton University, organizing induction ceremonies.

Labs/Projects: Known for mathematical sculptures, he has exhibited works at venues like the Roberson Museum and the University of South Florida, blending art with hyperbolic geometry and knot theory.