Paul Musial

Paul Musial is an Adjunct Lecturer in the Department of Computing, Information, Mathematical Sciences, and Technology at Chicago State University, part of the College of Arts and Sciences. He holds a Ph.D. in Mathematics from the University of Illinois at Chicago and has been actively involved in teaching, research, and service at CSU.

• Ph.D., Mathematics, University of Illinois at Chicago, 2002
• M.S., Mathematics, University of Illinois at Chicago, 1997
• B.S., Mathematics, University of Illinois at Urbana-Champaign, 1984

His research focuses on real analysis and integration theory, particularly the Henstock-Kurzweil and Lr-based integrals. He explores descriptive characterizations, duality, and extensions of integrals, contributing to the theoretical foundations of nonabsolute integration. He also investigates applications in trigonometric series and BV functions.

Paul Musial's recent publications center on the HKr, Pr, and Lr variational integrals, with a consistent focus on structural properties and relationships between generalized integrals. The articles reflect a deep engagement with real analysis, functional spaces, and the recovery of functions from derivatives, indicating a sustained and specialized research trajectory in advanced integration theory.

He has not received explicitly mentioned scientific awards in the provided text.

Paul Musial has advised over a dozen master’s students on projects and theses in areas such as nonabsolute integrals, game theory, statistics, and fractal geometry. He has served as a committee chair on multiple federally and institutionally funded grants, including projects on mathematics mastery and summer symposia in real analysis. His service includes extensive committee work at the departmental, college, and university levels, particularly in curriculum, assessment, and strategic planning.

He is actively involved in research projects including the dual space of HKr integrable functions, extensions of the Henstock-Kurzweil integral, and functions of Lr bounded variation. He also pursues creative work in music with a project involving cello and computer programming.