Ray Maresca
Assistant Professor of Mathematics
Professor Maresca’s research lies in abstract algebra. He likes to study representations of theoretical structures called algebras, which often arise from quivers. These representations are usually simpler and can be used to develop a deeper understanding of the algebra. Representations can be studied using techniques from other areas of mathematics like geometry, combinatorics, and category theory, allowing Professor Maresca to draw lots of pictures that encode the representations of the algebra in a pleasant visual package.
Professor Maresca often teaches Probability, Linear Algebra, Rings and Fields, and Topics in Advanced Algebra. Although an algebraist at heart, Professor Maresca enjoys teaching Probability because probabilistic thinking is such an important part of daily life. We as humans think probabilistically every day and yet this way of thinking can still be very unnatural. Linear Algebra, Rings and Fields, and Topics in Advanced Algebra lie closer to Professor Maresca’s research interests. Many of the topics covered in each of these classes frequently appear in his research. If you want to find out more about quivers and their representations, make sure to take Professor Maresca’s Topics in Advanced Algebra course!
Education
- PhD, Brandeis University
- MS, Manhattan College
- BS, Manhattan College