Reed Solomon

Professor

Department of Mathematics

portrait

Contact Info

Office 435 Monteith
Phone 860-486-2341
Email david.solomon@uconn.edu
Address Department of Mathematics
University of Connecticut
341 Mansfield Road U1009
Storrs, CT 06269-1009

Teaching

In Fall 2022, I am teaching Math 5026 (Generic sets and forcing in computability theory). The course is managed through HuskyCT and you can find details there. My office hours this semester are Monday 11:00-12:00, Friday 9:00-10:00 and by appointment.

Research

My research is in mathematical logic, specifically in computability theory and reverse mathematics. I have a number of papers and preprints available in electronic format. I also have a somewhat random collection of lecture notes and slides.

Computability theory is the study of computational properties of sets and functions on the natural numbers. In addition to studying sets and functions which are computable, one is interested in definitions of relative computability. That is, we study various notions of when a set or function is simpler than (or can be computed given knowledge of) another set or function. Under suitable codings, these notions can be used to study effectiveness in areas of mathematics such as algebra, combinatorics, analysis and so on. One of my main research interests is in effective algebra and combinatorics in this sense.

In reverse mathematics, one tries to isolate the smallest fragment of set theory required to prove a particular theorem of classical mathematics. The set theoretic background is typically second order arithmetic and in this context, there are close connections between computability theory and the subsystems of set theory that arise. I study theorems in algebra and combinatorics in this setting.

Graduate Students, Honors Students and Postdoctoral Fellows

My past PhD students are

My past masters students are

My Honors Thesis students are

The past Postdoctoral Fellows and Visiting Assistant Professors in logic at UConn include

Logic Seminars

There are several logic seminars both regionally and at UConn. The Connecticut Logic Seminar is a regional seminar regularly attended by faculty and graduate students from UConn, Wesleyan, Vassar and UMass-Dartmouth. The seminar meets Mondays 4:45-6 at Wesleyan University, Exley Science Center 618 (directions).

We have an interdisciplinary UConn Logic Group composed of faculty and graduate students in mathematics, philosophy and linguistics. We run a seminar which meets at Friday 2:00-3:30 roughly every other week during the semester.

Other logic seminar in the region include the Harvard logic seminar and a variety of logic seminars at CUNY.