Math Faculty and Staff
Maureen Carroll, Ph.D.
Loyola Science Center 314A
Steven Dougherty, Ph.D.
Loyola Science Center 314B
Dr. Steven Dougherty is interested in coding theory, especially self-dual codes and codes over rings. He is also interested in the relationship of coding theory with finite geometry and design theory (finite affine, projective planes, finite nets) and also works on the relationship of codes and lattices, self-dual codes and unimodular lattices in particular. He is interested in Latin Squares and other topics in combinatorics. Outside the field of research Dr. Dougherty is interested in algebra, set theory, and the history of mathematics.
Anthony Ferzola, Ph.D.
Loyola Science Center 319B
Dr. Anthony Ferzola conducts research in differential equations. He is also an expert in computer algebra systems and in history of mathematics. His publication: "Euler and Differentials" has received a 1994 Pólya Award. Dr. Ferzola is a Student Teacher Supervisor and State Coordinator for National MAA JHS test.
Jason Graham, Ph.D.
Loyola Scienc Center 319A
Dr. Graham works, generally, in the field of applied mathematics, and more specifically, in mathematical biology. Most of his research revolves around developing mathematical models of biological phenomena of interest in current biomedical research. He is currently working on mathematical representations of bone remodeling and injury response in articular cartilage.
Jakub Jasinski, Ph.D.
Loyola Science Center 311A
Dr. Jakub Jasinski is interested in Foundations of Mathematics. He specializes in applications of set theory in analysis, topology, and measure theory. More specifically he works with Blackwell Spaces, special sets of real numbers, and restrictions to continuous functions. Dr. Jasinski frequently presents his results at the departmental seminar. He also developed and taught courses in mathematical logic and axiomatic set theory.
John Levko, S.J., SEOD, Ph.D.
Loyola Science Center 475
Dr. John Levko specializes in differential geometry. He teaches a special section of calculus, with emphasis on theory and proofs, designed for mathematics majors. Dr. Levko is a Jesuit who holds a second doctorate in spirituality from the Pontifical Oriental Institute in Rome.
Kenneth Monks, Ph.D.
Loyola Science Center 311C
Dr. Kenneth Monks obtained his PhD in algebraic topology, specializing in the Steenrod algebra and its applications. His current research interests include work on the 3x+1 problem, discrete dynamics, and category theory. He has developed and taught many advanced courses including Problem Solving, Chaos and Fractals, Surreal Numbers and Games, and Category Theory. His teaching style emphasizes the use of formal logic as a mechanism for learning proofs and using technology in the classroom. He is a co-developer of several educational software packages, include AiM, an online assessment program, and Lurch, a program for verifying formal proofs. Dr. Monks has worked with several students in the faculty student research program, on various aspects of the 3x+1 problem and chaos theory.
Jerry Muir, Ph.D.
Loyola Science Center 293
Dr. Jerry Muir studies if, when, or how classical results from the theory of univalent functions of one complex variable can be generalized to spaces of finite or infinite complex dimension, where the roads have more potholes than in NEPA. Recently, he has considered classes of operators that extend one-variable mappings to higher dimensions in a manner preserving particular geometric characteristics of the mappings’ ranges.
Stacey Muir, Ph.D.
Loyola Science Center 271
Dr. Stacey Muir is interested in geometric function theory of one complex variable. Currently, she is studying geometric properties of complex-valued harmonic functions and connections with minimal surfaces.
Masood Otarod, Ph.D.
Loyola Science Center 474
Dr. Masood Otarod specializes in various aspects of applied mathematics. In particular he works on mathematical models of chemical reaction systems. His recent publication was written jointly with a student. Dr. Otarod teaches advanced courses in probability, statistics and differential equations.
Associate Professor and Department Chairperson
Loyola Science Center 211D
Dr. Thomas Shimkus is an algebraic topologist specializing in obstruction theory and its applications with a particular interest in the immersion problem for lens spaces. He is also interested in applications of topology to chemistry and molecular biology.
Zhongcheng (Bonnie) Xiong
Loyola Science Center 211B
Dr. Bonnie Xiong specializes in differential geometry and topology. In particular she works on almost Hermitian structures. She is interested in developing computer based projects for calculus and differential equations.
Jennifer F. Vasquez, Ph.D.
Loyola Science Center 314
Dr. Jennifer Vasquez is a topologist specializing in knot theory and its applications to quantum computing. She is also interested in applications of topology to biology.