Cassandra (Cass) Halleck-Dubé

Teaching

Teaching and Mentoring

I enjoy teaching mathematics at a wide range of levels, with a focus on integrating inquiry-based and active learning techniques. A teaching statement can be found here.

My teaching and mentoring experience includes graduate instruction at UC Berkeley, summer REU mentorship, and instruction at intensive inquiry-based summer programs. For my complete teaching record, see the curriculum vitae.

2025 REU materials

The materials below are a series of problem sets developed for the group I co-mentored with Ansuman Bardalai during the 2025 Berkeley Summer REU. The problem sets develop, in an inquiry-based style, fundamental concepts in geometric representation theory, including the spherical and affine Bruhat decompositions. They assume a first course in linear algebra, abstract algebra, and some basic notions from topology and measure theory. The final item is a problem set on nonarchimedean orbital integrals used to initiate the research portion of the REU.

  • Problem Set 1 PDF
  • Problem Set 2 PDF
  • Problem Set 3 PDF
  • Problem Set 4 PDF
  • Problem Set 5 PDF
  • Problem Set 6 PDF
  • Problem Set 7 PDF
  • Problem Set 8 PDF
  • Problem Set 9 PDF
  • Orbital Integrals Problems PDF