Reading Groups

Description

Reading mathematical literature is a major skill used in math research and advanced math classes (presumably college level courses). At GirlsxMRO, we hope to introduce these skills and give the student a hands-on experience in self-studying and reading. The reading groups each week dig deeper than the weekly live sessions, possibly going into abstract math theorems and applications, as well as providing harder math problems for the students to think about. This is also your chance to really build community, as you will get to work closely with mentors and other girls.

The program consists of three weeks (07/04/21-07/24/21) of reading groups, independent of each other, students may attend any combination of the reading groups. There is a number of limited spots for reading groups since this is a fully-mentored small group experience. We will do our best to accommodate all interested students.


Meeting Schedule

Week 2: Group Theory Tuesday 7/6/21 3:00-4:00 PM PST/6:00-7:00 PM EDT

Friday 7/9/21 3:00-4:00 PM PST/6:00-7:00 PM EDT

Week 3: Algebraic Combinatorics Tuesday 7/13/21 3:00-4:00 PM PST/6:00-7:00 PM EDT

Friday 7/16/21 3:00-4:00 PM PST/6:00-7:00 PM EDT

Week 2: Topology Tuesday 7/20/21 3:00-4:00 PM PST/6:00-7:00 PM EDT

Friday 7/23/21 3:00-4:00 PM PST/6:00-7:00 PM EDT

Prerequisites

Group Theory

  • Algebra II concepts

    • Polynomials

    • Basic understanding of complex numbers

    • Exponents

  • Basic modular arithmetic

Algebraic Combinatorics

  • Counting/combinatorics concepts

    • Factorials

    • Permutations

    • Combinations

  • Algebra II concepts

    • Exponents

    • Functions

Topology

  • Properties of sets

  • Advanced properties of functions

    • AT LEAST the following:

      • Onto/surjective

      • One-to-one/injective

  • Participation in Group Theory reading group will be helpful

Expectations

During registration, you will be asked to rank your interest in reading groups and provide any additional information about your If you are in a reading group, you are expected to attend the Sunday live Zoom session for that week. After that session, you will receive the reading materials and you are expected to do 30-45 min asynchronous work to prepare for each of the reading group meetings later in the week. Reading groups will meet on Tuesdays and Fridays at 3:00-4:00 PM PST/6:00-7:00 PM EDT. These meetings serve to:

  1. Go over the reading materials and expand the concepts, aiming to understand abstract theories

  2. Challenging problems to collaborate/work on as a group

  3. Build a community within the group as we hope students can make friends by attending our program