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Merge pull request #190 from MiikaTuo/master
DRP updates
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drp/faq.md

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**When do I give my final presentation?**
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There is some flexibility here. Some students may opt to prepare their presentation before the semester is over and give it near the end of the semester or right at the beginning of the next semester, while other students might prefer preparing during the break and presenting sometime during the next semester.
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Presentations are usually given at the start of the next semester. However, there is some flexibility here such as in cases where the student might not be present the next semester.

drp/index.md

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The Directed Reading Program pairs undergraduate students with
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graduate student or postdoc mentors for independent reading projects. Each
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reading project lasts the duration of a semester and culminates with
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the undergraduate student giving a presentation by the end of the next semester. The content of the
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project is decided on by the student and mentor with the approval of
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the DRP committee.
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the undergraduate student giving a presentation. The content of the
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project is decided on together by the student and the mentor.
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This program provides the opportunity for undergraduate students to
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dig deeper into a subject of their interest under the guidance of a knowledgeable
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graduate student. For students interested in pursuing
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undergraduate research this is a great first step! The DRP is also a great way to decide
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if a math major is right for you.
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graduate student or postdoc. For students interested in pursuing
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undergraduate research this is a great first step! The DRP is a great way to decide
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if a math major is right for you or to explore topics not covered by the regular courses at UVA.
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<h2 class="mb-3">Requirements</h2>
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The student is required to meet with their mentor once a week for an
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hour to discuss their progress. Additionally four hours of independent
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study is required each week. Finally, each
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student will give a presentation about their project by the end of the next semester.
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student will give a presentation about their project the next semester.

drp/projects.md

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<h2 class="mb-3">Projects</h2>
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### Spring 2024
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+ From calculus to de Rham cohomology
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- Text: Madsen and Tornehave, From calculus to cohomology: de Rham cohomology and characteristic classes
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- Mentee: Ethan Fu
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- Mentor: Eleftherios Chatzitheodoridis
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+ Knots and Seifert surfaces
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- Text: Livingston, Knot Theory
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- Mentee: Claire Kehoe
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- Mentor: Sarah Blackwell
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+ Knot Theory
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- Text: Crowell and Fox, Introduction to Knot Theory
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- Mentee: Wynn Smith
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- Mentor: Beth Branman
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+ Algebraic Number Theory
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- Text: Stewart and Tall, Algebraic Number Theory and Fermat's Last Theorem
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- Mentee: Brandon Werbel
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- Mentor: Alejandro De Las Penas Castano
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+ Symmetric functions and representation theory
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- Text: Prasad, Representation theory: A combinatorial viewpoint
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- Mentee: Henghui Li
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- Mentor: Kang Lu
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+ Category theory
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- Texts: Lawvere and Rosebrugh, Sets for Mathematics; Riehl, Category Theory in Context; Leinster, Basic Category Theory
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- Mentee: Luke Moyar
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- Mentor: William Balderrama
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+ Matroids
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- Text: Gordon and McNulty, Matroids: A geometric introduction
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- Mentee: John Yan
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- Mentor: Mark Pengitore
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+ Nonlinear Dynamics and Chaos
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- Text: Strogatz, Nonlinear Dynamics and Chaos
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- Mentee: Mary Edith Plunkket
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- Mentor: Pedro Brunialti
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+ An Overview of Combinatorial and Geometric Group Theory
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- Text: Löh, Geometric Group Theory: An Introduction
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- Mentee: Grady Hollar
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- Mentor: Darien Farnham
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+ The RSK Correspondence and its applications
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- Texts: Schensted, Longest increasing and decreasing subsequences; Stanley, Increasing and decreasing subsequences of permutations and their variants
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- Mentee: Brendan Malaugh
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- Mentor: Petch Chueluecha
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### Fall 2023
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+ Choosing the optimal number of clusters for the k-means algorithm

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