Algebra & Logic Lab

About the Lab

The Algebra & Logic Lab at Sacramento State explores problems and facilitates learning around various mathematical topics, focusing on those lying in the intersection of group theory and model theory. It aims to drive research, build excitement and capacity for advanced mathematics, and support students in pursuing advanced degrees and other professional goals. The Lab also serves as a space to build community around a shared love of mathematics. Please email Joshua Wiscons [joshua.wiscons@csus.edu] if you have any questions or want to drop by.

Launched in late Fall 2020, the Lab warmly acknowledges the support of the National Science Foundation. Much of this material is based upon work supported by the National Science Foundation under grant number DMS-1954127. Any opinions, findings, and conclusions or recommendations expressed on this website are those of Joshua Wiscons and do not necessarily reflect the views of the National Science Foundation.


Research

Modules with an additive dimension

Relational complexity of finite permutation groups

Additional projects


Change Maker Series

The Lab collaborates with the the Department of Mathematics and Statistics, Women in STEM and Math Club to organize the Change Maker Series at Sacramento State. This is a yearly series—launched in Spring of 2021—that aims to connect the Sacramento State community with leaders in the mathematical sciences who are transforming the discipline by advancing knowledge and improving access for all.


ANTC Seminar Series

Spring 2021: Representation theory of the symmetric group

In Spring 2021, we ran a seminar series on the representation theory of the symmetric group. It was a joint offering between the Lab and the Algebra, Number Theory, and Combinatorics (ANTC) seminar at Sacramento State. The target audience was undergraduate (and beyond) math-interested folk with some exposure to linear algebra, and the main goals were for folks to have fun, learn something interesting they wouldn’t see in a regular class, and hopefully get excited to study more math. It is hoped that the seminar might also be a starting point for an independent study or research project. The series drew about 10 people at each meeting (including undergraduates, masters students, and faculty). We are looking forward to the next series in Spring 2022.

Spring 2022: Topics in Permutation Groups

In Spring 2022, we developed a seminar series around the theory of finite permutation groups. As with the 2021 series, the target audience was math-interested folk with exposure to linear algebra. Familiarity with permutations and modular arithmetic (as one would see in Math 110A) will also be useful, but not necessary.