DRP - Mathematics Graduate Organization (MGO)

Directed Reading Program (DRP)

Mission Statement

The primary goal of the DRP is to broaden participation in mathematics, especially among members of underrepresented groups, by increasing individuals’ self-identity as mathematicians, by providing them with mentors close to their age, and by welcoming them into the broader mathematical family. Secondary objectives of the program are to extend the undergraduate curriculum and to provide mentoring experience to graduate students.

Requirements

Student mentees are expected to meet with their mentors for one hour each week and spend about four hours prior to each meeting reading and preparing. The precise details of what the undergraduates should do outside of these meetings can be worked out between mentors and mentees, but could include taking notes and preparing questions, working out exercises, or preparing to present a proof on the board at the next meeting. During the second to last week of classes mentees will give a 15 minute presentation on what they learned.

Organization

The DRP is organized by a committee of graduate students. The committee’s responsibilities include recruiting participants, pairing mentors and mentees, and providing guidance and mediation as needed.

Webpage

The main page for the Directed Reading Program at Syracuse University can be found at this link.

Previous Projects

Year		Project	Student(s)	Advisor
2023	Spring
		Complex Analysis and Applications to Fluid Flow	Nicholas Rubayiza	Jesse Hulse
		Rank Nullity Theorem	Lillian Impastato	Des Martin
		Lasker-Noether Theorem	Connor Ritchie	Richard Bartels
		Category Theory	Zhiyu Miao	Ben Kaufman
		Relator Games on Groups	Xizhe Zhang, Taeheun Lee	Henry Potts-Rubin
		Knot Theory	Hao Yao	Jacob Migdail-Smith
		Graph Colorings	Hanbing Wei	Chelsea Sato
		Algorithms on Trees	Aksel Malatak	Marie Kramer
		Graph Labelings	Juliette Mangon	Hannah Kimbrell
		Number Theory	Sadie Meyer	Elana Israel
		Basic Applications of Graph Theory	Spencer Evans-Cole	Karie Schmitz
2022	Fall	Number Theory	Lillian Impastato	Elana Israel
		Complex Analysis	Trevor Knight	Jesse Hulse
		Combinatorics	Elizabeth Ricchetti	Hannah Kimbrell
		Algebra	Lisa Zhang	Nicholas Ng
		Graph Theory	Hanbing Wei	Chelsea Sato
		Topology	Hao Yao	Jacob Migdail-Smith
		Graph Theory	Chance Baggett & Connor Ritchie	Marie Kramer
2022	Spring	Topology, Topological Properties of the Fundamental Group of the Circle	Aksel Malatak	Nicholas Ng
		The Pumping Lemma and Regular Languages	Athanasios Hadjidimoulas	Eric Cochran
		Topological Space	Bei Luo	Ralph Xu
		Defining a Hilbert Space	Chance Baggett	Tim Tribone
		Knot Theory	Hanbing Wei	Elana Israel
		Surface Integrals and the Divergence Theorem	Isaac Lehigh	Jesse Hulse
		Number Theory	Lillian Impastato	Chelsea Sato
		Combinatorics	Mikhail Khramov	Hannah Kimbrell
		The Residue Theorem	Yao Cai	Jesse Hulse
		Group Operation and Group Action	Yuming Jiang	Bhargavi Pathasarathy
2021	Fall	Introduction to Group Theory	Yuming Jiang	Kaiyue He
		Number Theory	Yao Cai	Keshab Raj Adhikari
		Frenet Fields and Their Uses	Arthur “Will” Edwards	Paul Makkumba
		Maximizing Network Flows Algorithmically	Anthony Mazzacane	Chelsea Sato
		Knot Theory	Kevin Nam	Jacob Migdail-Smith
2021	Spring	Pólya Enumeration Theory	Erika Hall	Nathan Uricchio
		Rolle’s Theorem to the Cauchy Mean Value Theorem	Chien-peng Lee	Rick Bartles
		Matroid Duality and the Greedy Algorithm	Kalayaan Raguso	Nathan Uricchio
		The Joy of X	Tongxi Yu	Casey Necheles
2020	Fall	Introductory Matroid Theory	Chenmeinian Guo	Nathan Uricchio
		Elementary Linear Algebra	Juha Schraden	Tim Tribone
		Worlds beyond metrics	Megan Perlman	Jacob Migdail-Smith
		An Invitation to Algebraic Topology		Elahe Samani
		Game Theory		Caleb Mcwhorter
2020	Spring/Fall	Network Flows and the Augmenting Flow Algorithm	Bradley Pirie	Nathan Uricchio
2020	Spring*	Planar Graphs	Michael Perry	Nathan Uricchio
2020	Spring*	Mathematical Cryptography	Joseph D’Angelo	Tim Tribone
2019	Fall	Rouche’s Theorem and Applications	Austin Church	Steven Farnham
2019	Spring	Mathopoly: A Game Theory Saga	Kevin Aubrey, Emily Dyckman	Josh Fenton
		An Introduction to Elliptic Curves and Their Cryptographic Applications	Samuel Wheeler	Caleb McWhorter
		Machine Learning Outline: Neural Network and Digit Recognition	Yantao Wu	Erin Tripp
2018	Fall	Gröbner Bases	Delong Chen	Laura Ballard
		Optimal Blackjack Strategy	Tighe Gugerty	Josh Fenton
		The Four Vertex Theorem and its Converse	Seif Hejazine	Alice Lim
		Linear Optimization Theory and Applications	Chang Liu	Steve Farnham
		Fermat’s Last Theorem	Xinxuan Wang	Caleb McWhorter
		Some Fundamental Theorems of Number Theory and their Proofs	Brooke Weiss	Rachel Diethorn

*Cut short due to Covid-19