Position Overview
About Stanford University Mathematics Camp (SUMaC)
SUMaC leads participants on a journey in advanced mathematics through lectures, guided research, and group problem solving. In an environment centered on mathematics, participants explore current lines of mathematical research, the historical development of important areas of mathematics, and applications across scientific disciplines. Orientation and training will begin the week of June 10, 2024.
Program I: Abstract Algebra & Number Theory
Session 1: Monday, June 17, 2024 - Friday, July 5, 2024
AM class: 8am-11am PT
PM class: 5pm-8pm PT
Session 2: Monday, July 8, 2024 - Friday, July 26, 2024
8am-11am PT
The course topics begin with an investigation of Group Theory covering symmetries of regular polygons, isometries of the plane, isomorphism, classification of finite groups, group products, quotient groups, permutation groups and more. Later in the course, students further their study of abstract algebra through an introduction to rings and fields, and they will see the complete classification of finite fields. Additionally, they will explore applications in the famous Greek construction problems, as well as modern-day applications in coding theory. Ultimately, they will learn key ingredients of Galois Theory and the connections to solutions of polynomial equations. In parallel, students explore number theory including applications in cryptography.
Program II: Algebraic Topology
Session 2: Monday, July 8, 2024 - Friday, July 26, 2024
5pm-8pm PT
Program II centers on algebraic topology and follows the book written for this course, Algebraic Topology 1st ed. 2021, by Clark Bray, Adrian Butscher, and Simon Rubinstein-Salzedo.
Topology is the study of the properties of shapes that remain unaffected by deformations. For example, a sphere made out of rubber can be deformed into the shape of a cube. While it may appear that a sphere and a cube don't have that much in common, it turns out that they are topologically equivalent and in a way that can be made precise mathematically. This course will explore different ways of analyzing topological properties of shapes using algebraic concepts, such as the notion of group.
Compensation:
Compensation is tentatively scheduled to be approximately $36/hour
Time Commitment:
Approximately 30 hours/week
- Orientation and training will occur during the week of June 10, 2024.
Responsibilities
- Attend all instructional sessions and lead group problem-solving sessions, office hours and small group conferences with students to give them feedback on their problem-set solutions. The schedule of these activities will be approved by the Instructor for the course to which you are assigned.
- Regularly checking-in via slack and email with your primary supervisor.
- Administrative support
- Upload materials and announcements to Canvas as needed
- Monitoring team email
- Monitoring Slack channel
- Monitor/Host student social engagement on technology platforms:
- Provide behavior management support by ensuring the expectations of the student Code of Conduct is upheld.
- Moderate student chat: This includes, but is not limited to, disabling Zoom features if used inappropriately (e.g. chat tool, annotation tool).
*Note: The job duties listed are typical examples of work performed by positions in this job classification and are not designed to contain or be interpreted as a comprehensive inventory of all duties, tasks, and responsibilities. Specific duties and responsibilities may vary depending on department or program needs without changing the general nature and scope of the job or level of responsibility. Employees may also perform other duties as assigned.
*Consistent with its obligations under the law, the University will provide reasonable accommodation to any employee with a disability who requires accommodation to perform the essential functions of the job.
*Stanford is an equal employment opportunity and affirmative action employer. All qualified applicants will receive consideration for employment without regard to race, color, religion, sex, sexual orientation, gender identity, national origin, disability, protected veteran status, or any other characteristic protected by law.
* Visa sponsorship is not available for this position. All candidates must be eligible to work in the U.S.
Apply
Complete the application and submit your resume and cover letter.
We will continue to review applications and extend interview invitations on a rolling basis until all positions are filled.