About Me

Hello! My name is Sean McAfee; I am a graduate student in the University of Utah Mathematics Department, studying representation theory under Dr. Peter Trapa. My specialty concerns the combinatorics of representations of the Lie group U(p,q). When I am not teaching or engaging in research, I enjoy reading, writing, and talking to strangers.

### Teaching

I have been an instructor for a wide range of courses at the University of Utah, from MATH 1010 (Intermediate Algebra) to MATH 2200 (Discrete Mathematics).
This semseter, I am teaching MATH 1050 (College Algebra). Here are some course materials:

MATH 1050 syllabus

Midterm 1

Midterm 2

### Representation Theory

Here are some expository papers I have written concerning representations of Lie groups:

Irreducible representations of the symmetric group S_n

Proof of the Harish-Chandra isomorphism for G=SL(2,C)

Proof that K-finite vectors are invariant under the action of (g,K)

Proof that smooth vectors are dense in V

Proof of the correspondence between (g,K) modules and representations of G

### CV

My CV, updated November, 2018: SeanMcAfeeCV.pdf

### Nonsense

Here is a completely fabricated paper I wrote on the history and practice of Bonology, wonderfully illustrated by Jennifer Kenkel:

Bones: How Many are There?