Mark Colarusso

Mark Colarusso is an Associate Professor in the Department of Math and Statistics at the University of South Alabama within the College of Arts and Sciences. His research bridges Lie theory, algebraic geometry, and integrable systems through algebraic and geometric methods.

Education

• Ph.D. in Mathematics, University of California, San Diego

Research Interests

Mark specializes in the Gelfand-Zeitlin integrable system, analyzing its action on Lie algebras like gl(n) and so(n), and studying K-orbits on flag varieties. His work connects Poisson geometry with representation theory, focusing on algebraic integrability and eigenvalue coincidences. He also explores Lie-Poisson theory for direct limit Lie algebras and geometric structures in algebraic combinatorics.

Publication Trends

His publications emphasize the interplay between integrable systems and Lie theory, with recurring themes in Poisson geometry, orbit decompositions, and algebraic structures. Collaborations with Sam Evens and Michael Lau highlight interdisciplinary approaches to representation theory and symplectic geometry.

Teaching

He teaches across the calculus sequence (College Algebra, Differential Equations) and upper-level courses for secondary education teachers, including Abstract Algebra and Axiomatic Geometry.