Caleb Shor

Mathematical Sciences

Professor of Mathematics

309B Herman Hall

Education

Ph.D. in Mathematics, Boston University, 2005.
B.S. in Mathematics, Bates College, 2000.
Semester Abroad, Budapest Semesters in Mathematics, Technical University of Budapest, Spring, 1999.

Background

Dr. Caleb Shor is currently a Professor in the Department of Mathematics at Western New England University, where he has taught since 2008. He also serves as director of the PROMYS for Teachers (https://promys.org/programs/for-teachers) program at Boston University. His research interests are in the areas of numerical semigroups, number theory, and algebraic geometry.

Prior to WNE, Dr. Shor was a Visiting Assistant Professor in the Department of Mathematics at Bates College in Lewiston, ME, from 2005--2008. He received his PhD in Mathematics from Boston University in 2005 with a dissertation titled “On towers of function fields and the construction of the corresponding Goppa codes,” advised by Dr. Emma Previato. As an undergraduate, he went to Bates College and attended the Budapest Semesters in Mathematics program in the spring of 1999.

For more information, see Dr. Shor's curriculum vitae .

Website: http://cshor.org.

Interests

Numerical Semigroups
Algebraic Geometry
Number Theory
Coding Theory

Scholarly Works

Book Chapters

T. Shaska and C. Shor. Weierstrass points of superelliptic curves. Advances on Superelliptic Curves and their Applications, NATO Science for Peace and Security Series - D: Information and Communication Security, Amsterdam, 41:15-46, 2015.

Journal Articles

N. Dent and C. Shor. On residues of rounded shifted fractions with a common numerator. Journal of Integer Sequences, vol. 27, 2024, Article 24.2.5.

C. Shor. Reflective numerical semigroups. Albanian Journal of Mathematics, vol. 17, no. 1, 2023, pp. 41-68.

C. Shor. Equidistribution of numerical semigroup gaps modulo m. Discrete Mathematics, vol. 345, no. 10, 2022.

T. A. Gassert and C. Shor. Characterizations of numerical semigroup complements via Apéry sets. Semigroup Forum, vol. 98, no. 1, 2019.

C. Shor. On Free Numerical Semigroups and the Construction of Minimal Telescopic Sequences. Journal of Integer Sequences, 22:Article 19.2.4, 2019.

C. Shor. Higher-order Weierstrass weights of branch points on superelliptic curves. Higher genus curves in mathematical physics and arithmetic geometry, vol. 703 of Contemporary Mathematics, pp. 143--156, 2018.

T. Shaska and C. Shor. 2-Weierstrass points of genus 3 hyperelliptic curves with extra involutions. Communications in Algebra, 45:1879-1892, 2017.

T. A. Gassert and C. Shor. On Sylvester sums of compound sequence semigroup complements, Journal of Number Theory, 180:45--72, 2017.

T. Shaska and C. Shor. Theta functions and symmetric weight enumerators for codes over imaginary quadratic fields. Des. Codes Cryptogr., 76(2):217--235, 2015.

L. Beshaj, T. Shaska, and C. Shor. On Jacobians of curves with superelliptic components. Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces, vol. 629 of Contemporary Mathematics, pp. 1--14, 2014.

C. Shor. Genus calculations for towers of function fields arising from equations of C_{ab} curves. Albanian J. Math., 5(1):31--40, 2011.

T. Shaska, C. Shor, and S. Wijesiri. Codes over rings of size p^2 and lattices over imaginary quadratic fields. Finite Fields Appl., 16(2):75--87, 2010.

C. Shor. On the construction of codes from an asymptotically good tower over F_8. Serdica J. Comput., 1(2):171--184, 2007.

Courses Taught

Undergraduate courses: Introduction to Statistics, Calculus I/II/III, Differential Equations, Engineering Analysis, Linear Algebra, Modern Algebra, Modern Algebra II, Complex Analysis, Number Theory, Creative Problem Solving

Senior Projects advised: in number theory, algebraic geometry, abstract algebra, numerical semigroups, and combinatorics

Graduate courses (MAMT): Calculus Revisited, Linear Algebra, Number Theory