The concept of splitting of a lattice dates back to the 1940's and the general theory of splittings in the lattice of subvarieties of a variety has been used and abused for a long time. However one can also look at splitting in the lattice of subquasivarieties of a (quasi)variety since the theory is not much different (and in fact it is, in a certain sense, easier). We will talk briefly about the general theory and, as an application, we will prove a generalization of Baker's Finite Basis Theorem for quasivarieties. This is a joint work with Alex Citkin.
Splittings and a (yet another!) generalization of Baker's Finite Basis Theorem
I will be giving an overview of some of the materials that I have developed in my time as a course assistant and an instructor at CU. All of the materials that I will be showing during this talk are things that I currently use in my role as the course assistant for Calc III and which I have found to be helpful in fulfilling that role. I also believe that access to these materials would be a boon to the rest of the coordinated courses in our math program, so it is the goal of this talk to show off some of these tools and hopefully disseminate them amongst the various instructors, TAs, course coordinators, and course assistants of our department. The presentation itself will be composed of 3 parts:
(1) A brief introduction to Canvas API tools with Python: how to not spend 4 hours editing all of your assignment due dates individually. (2) Diversifying homework assignments: how to build a problem portfolio and generate random assignments on the fly with LaTeX. (3) No more grading parties: how ideas from mastery reform grading can help make grading faster and more consistent in coordinated courses. Bonus: How to set up your shared overleaf file so that people can actually find things.
All materials presented within this talk will be made available to those who are interested. I hope to see you there!
Reorganizing Undergraduate Math Courses: Lessons from a Course Assistant
Oct. 31, 2023 3:30pm (MATH 3…
Topology
Andrew Doumont
X
We often come across spaces that look nearly like manifolds but for some singularities. This talk will be an introduction to stratified spaces, which are a generalization of smooth manifolds that allow us to retain some important smooth manifold properties for spaces that aren't quite themselves smooth manifolds.