Past Projects

	A	B	C	D
1	Directed Reading Program - Fall 2024
2	Student Name(s)	Mentor Name	Subject	Reference
3	Luke Briody, Jerry Sun	Eric Zhu	Number Theory
4	Coby Mulliken, Daniel Kyte-Zable, Nicolas Concepcion	Ethan	Combinatorics
5	Christina Stepin, Andy Zhu, Aidan Hennessey, Edwin Lu, Zhengyu Zou, Nathan Smith, Robert Shlyakhtenko	Steven	Representation Theory
6	Yevhen Burkovskyi, Patrick Whiteford	Marino	Category Theory
7	Aren Guralp	Raluca	Algebraic Geometry
8	HaiTian Wu, Junxiang Zhang	Eduardo	Dynamics
9	Aanya Kaur Agrawal, Austin Kim	Ella	Analysis
10	Griffin Wells, Michael Sinclair	Trent	Geometric Topology
11	Muhammad Adam Dombrowski, Benjamin Pomeranz	Yifan	Combo/Algebraic Geometry
12	Emma Zou, Akir Sridharan, Zhixing (Grace) Wang	Anna	Graph Theory
13	Xinbei (Mary) Wang, Valentin Garcia	Aidan	Logic
14	Mackenzie Baker, Jackson Osterhus	Kai	Algebraic Number Theory
15	Petros Gkenos, Lauren Roussel	Zach	Analysis
16	Alice Wang, Sebastian Weinberger, Joshua Kou	Henry	Analytic Number Theory
17
18
19	Directed Reading Program - Fall 2022
20	Student Name(s)	Mentor Name	Reading Project Title	Reference
21	Mattie Ji	Megan Chang-Lee
22	Julia	Steven Creech
23	Seijin Park	Eric Zhu	Modular Forms and Algebraic Number Theory
24	Jack	Tainara Gobetti Borges
25	Jonah Mendel	Henry Twiss
26	Kexin	Teressa
27	Abigail	Teressa
28
29	Directed Reading Program - Fall 2021
30	Student Name(s)	Mentor Name	Reading Project Title	Reference
31	Hammad Izhar	Aidan Backus	Traffic Flow and Hyperbolic Equations
32	John Michael Slezak	Aidan Backus	Traffic Flow and Hyperbolic Equations
33	Quinn Straus	Aidan Backus	Traffic Flow and Hyperbolic Equations
34	Mattie Ji	Megan Chang-Lee	Category Theory in Context	Category Theory in Context by Emily Riehl
35	Semir Mujevic	Megan Chang-Lee	Category Theory in Context	Category Theory in Context by Emily Riehl
36	Joe Hlavinka	Kyle Ferendo
37	Seiji Shaw	Sam Freedman	Discrete Differential Geometry	“Discrete Differential Geometry: An Applied Introduction” by Keenan Crane
38	Jack Cheng	Tainara Gobetti Borges	Introduction to Fourier Analysis	Harmonic Analysis: From Fourier to Wavelets by Maria Cristina Pereyra and Lesley A. Ward
39	Matthew Meeker	Tainara Gobetti Borges	Introduction to Fourier Analysis	Harmonic Analysis: From Fourier to Wavelets by Maria Cristina Pereyra and Lesley A. Ward
40	Alex Feiner	Trent Lucas	Stokes' Theorem	Introduction to Smooth Manifolds by John Lee
41	Alexey Izmailov	Henry Twiss	Dirichlet's Theorem and L-Series	Number Theory in Function Fields by Kenneth Rosen
42	Jonah Mendel	Henry Twiss	Dirichlet's Theorem and L-Series	Number Theory in Function Fields by Kenneth Rosen
43	Griffin Edwards	Eric Zhu	Elliptic Curves
44	Sejin Park	Eric Zhu	Elliptic Curves
45	Directed Reading Program - Spring 2021
46	Student Name(s)	Mentor Name	Reading Project Title	Reference
47	Alexey Izmailov	John Ahn	Functional Analysis
48	Viola Brockman	Aidan Backus	The Hamilton-Jacobi Equation and Optimization	Partial Differential Equations by Craig Evans
49	Lily Mayo	Megan Chang-Lee	Category Theory in Context	Category Theory in Context by Emily Riehl
50	Amelia Shapiro	Megan Chang-Lee	Category Theory in Context	Category Theory in Context by Emily Riehl
51	Tyler Lane	Megan Chang-Lee	Category Theory in Context	Category Theory in Context by Emily Riehl
52	Cindy Zheng	Steven Creech	Combinatorics Through Guided Discovery	Combinatorics Through Guided Discovery by Kenneth Bogart
53	Shane Weiner	Sam Freedman	Introduction to Differential Geometry	Differential Topology by Guilleman and Pollack
54	Kevin Lu	Sam Freedman	Introduction to Differential Geometry	Differential Topology by Guilleman and Pollack
55	Tej Stead	Nate Gillman	Lattice-Based Cryptography	An Introduction to Mathematical Cryptography by Hoffstein, Pipher, and Silverman
56	Jeremy Wang	Sarah Griffith-Siqueira	Algebraic Geometry
57	Alex Feiner	Trent Lucas	Geometry of Surfaces	Geometry of Surfaces by John Stillwell
58	Directed Reading Program - Fall 2020
59	Student Name(s)	Mentor Name	Reading Project Title	Reference
60	Dominick Joo	Alex McDonough	Intro to Representation Theory	Representations and Characters of Groups by James and Liebeck
61	Jeremy Wang	Alex McDonough	Intro to Representation Theory	Representations and Characters of Groups by James and Liebeck
62	Shane Weiner	Sam Freedman	Matrix Groups	Matrix Groups for Undergraduates by Kristopher Tapp
63	Kevin Lu	Sam Freedman	Matrix Groups	Matrix Groups for Undergraduates by Kristopher Tapp
64	Alexander Feiner	Steven Creech	Tropical Geometry	Introduction to Tropical Geometry by Maclagan and Sturmfels
65	Henry Talbott	Steven Creech	Tropical Geometry	Introduction to Tropical Geometry by Maclagan and Sturmfels
66	Chen Li	Megan Chang-Lee	Category Theory	Category Theory in Context by Emily Riehl
67	Lily Mayo	Megan Chang-Lee	Category Theory	Category Theory in Context by Emily Riehl
68	Amelia Shapiro	Megan Chang-Lee	Category Theory	Category Theory in Context by Emily Riehl
69	Tyler Lane	Megan Chang-Lee	Category Theory	Category Theory in Context by Emily Riehl
70	Directed Reading Program - Spring 2020
71	Student Name(s)	Mentor Name	Reading Project Title	Reference
72	Taylor Knapp	Jiahua Zou	Multidimensional Geometry and Functions of a Very Large Number of Variables	Mathematical Analysis of Problems in the Natural Sciences by Vladimir Zorich
73	Jonah Mendel	Siddarth Kannan	Representation theory and combinatorics	Representation theory by William Fulton and Joe Harris
74	Nathan Zelesko	Siddarth Kannan	Representation theory and combinatorics	Representation theory by William Fulton and Joe Harris
75	Dominick Joo	Sam Freedman	Visual Complex Analysis	Visual Complex Analysis by Tristan Needham
76	Angela Zhu	John Ahn	Applications of Linear Algebra	Thirty-three Miniatures by Jiri Matousek
77	Joanna Tasmin	John Ahn	Applications of Linear Algebra	Thirty-three Miniatures by Jiri Matousek
78	Directed Reading Program - Fall 2019
79	Student Name(s)	Mentor Name	Reading Project Title	Reference
80	David Gao	Kyle Ferendo	Topos Theory	Sheaves in Geometry and Logic by Mac Lane and Moerdijk
81	Eli Fonseca	Kyle Ferendo	Topos Theory	Sheaves in Geometry and Logic by Mac Lane and Moerdijk
82	Josiah Lim	Alex McDonough	Chip Firing	The Mathematics of Chip-Firing by Klivans
83	Jerry Chu	Alex McDonough	Chip Firing	The Mathematics of Chip-Firing by Klivans
84	Taylor Knapp	Sam Freedman	Introduction to Teichmüller Space	Mostly Surfaces by Schwartz
85	Kenneth Blakey	Sam Freedman	Introduction to TeichmüllerSpace	Mostly Surfaces by Schwartz
86	Joanna Tasmin	Tom Stone	Computability Theory	Turing Computability: Theory and Applications by Soare
87	Elliott Lehrer	Tom Stone	Computability Theory	Turing Computability: Theory and Applications by Soare
88	Directed Reading Program - Spring 2019
89	Student Name(s)	Mentor Name	Reading Project Title	Reference
90	Alex Bauman	Claudia Yun	Representation Theory of the Symmetric Groups	The Symmetric Group by Sagan
91	Joseph Hlavinka	Sam Freedman	Differential Geometry of Curves and Surfaces	Differential Geometry of Curves and Surfaces by do Carmo
92	Keith Richie	Alex McDonough	Combinatorics of Coxeter groups	Combinatorics of Coxeter groups by Bjorner and Brenti
93	Taro Shima	Luis Baeza	Geometric Analysis	Riemannian Geometry by do Carmo
94	Josh Lebo	Shiyue Li	Algebraic Geometry	Foundations of Algebraic Geometry by Vakil
95	Elliott Lehrer	Shiyue Li	Algebraic Geometry	Foundations of Algebraic Geometry by Vakil
96	Dominick Joo	Shiyue Li	Algebraic Geometry	Foundations of Algebraic Geometry by Vakil
97	Directed Reading Program - Fall 2018
98	Student Name(s)	Mentor Name	Reading Project Title	Reference
99	Julia Windham	Ashley Weber	Graph Theory	Introduction to Graph Theory by Trudeau
100	Jackson Markey	Kyle Ferendo	Homotopy Type Theory	Homotopy Type Theory: Univalent Foundations of Mathematics by The Univalent Foundations Program, IAS