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
2025	Spring
		Complex Analysis: Fourier Series, Residue Theorem	Anthony Arguetta, Rongtian Ye	Jesse Hulse
		Joy of Sets	Srestha Thangaswamy, Justin Prondak	Karie Schmitz
		Matrix Problems and Quiver Representations	Phillip Umeadi	Ben Kaufman
		Category Theory and its Applications	Jada Garafalo, John Nguyen	Michael Perry
		Exploring Complex Numbers Quaternions and Frobenius’ Theorem	Amanda Wang	Michael Vance
		Dissecting Brain Networks: Graph Theory	Valerie De La Cruz Sanchez, Sara Jenabzadeh	Joseph Beckmann
		Rings and Polynomials	Qiong Wu, Meagan Gonzalez	Bhargavi Parthasarathy, Henry Potts-Rubin
		An Introduction to Linear Codes	David Pascual	Nazia Valiyakath
		Metric Spaces	Jiya Sharma, Melissa Young	Sabrina Traver
2024	Fall
		Quanternionic Analysis	Juliana Mini	Michael Vance
		Number Theory	Macy Aiken	Karie Schmitz
		Learning Mathematics via Puzzles	Piper Moskow, Arshjott Bhangu	Sabrina Traver
		The Shannon Switching Game	Christian Han, Phillip Umeadi	Elana Israel, Des Martin
		Embedding Graphs on Manifolds	Keval Mehta	Marie Kramer
		Differential Geometry	Zewei Chen	Ralph Xu
		Space-Efficient Knot Mosaics	Mingfu Chen	Henry Potts-Rubin
2024	Spring
		Hilbert Spaces	Juliana Mini, Anthony Mazzacane	Richard Bartels
		Riemann Surfaces	Connor Ritchie	Jesse Hulse
		Differential Geometry	Allison Arias, Gil Markman	Nazia Valiyakath
		Planarity and the Three Utilities Problem	Isabella Ross	Marie Kramer
		The Three Utilities Problem	Mairead Cummins	Marie Kramer
		Intro to Graph Theory	Julia Camp	Elana Israel
		Metric Spaces	Lillian Impastato	Sabrina Traver
		Election Manipulation	Yuchen Jin, Jiayi Wei	Ben Kaufman
		Conformal Mappings	Ezekiel Deveyra	Adam Krause
		Matchings and Edge Colorings	Arshjott Bhangu	Chelsea Sato
2023	Fall
		Winner Selection Method	Hanbing Wei	Ben Kaufman
		The Euler-Lagrange Equation and its Applications	Chance Baggett	Adam Krause
		Residue Theory	Darren Murphy	Melody Wolff
		The Tor Functor	Connor Ritchie	Des Martin
		The Yoneda Lemma	Zhiyu Miao	Richard Bartels
		Axiomatic Set Theory	Gianna Voce	Michael Vance
		Curvature	Arshjott Bhangu	Nazia Valiyakath
		Graph Colorings and the Axiom of Choice	Lillian Impastato	Bhargavi Parthasarathy
		Walks and Paths in Graphs	Meagan Gonzalez	Elana Israel
		Integration on Manifolds	Aksel Malatak	Eric Cochran
		Lights Out Game	Hao Yao	Henry Potts-Rubin
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