Student Name(s)  Mentor Name  Reading Project Topic  Reference 
Eli Fonseca, David Gao  Kyle Ferendo  Topos Theory  Sheaves in Geometry and Logic by Mac Lane and Moerdijk 
Jerry Chu and Josiah Lim  Alex McDonough  Chip Firing  The Mathematics of ChipFiring by Klivans 
Kenneth Blakey and Taylor Knapp  Sam Freedman  Introduction to TeichmÜller Space  Mostly Surfaces by Schwartz 
Elliott Lehrer and Joanna Tasmin  Tom Stone  Computability Theory  Turing Computability: Theory and Applications by Soare 
Student Name(s)  Mentor Name  Reading Project Topic  Reference 
Alex Bauman  Claudia Yun  Representation Theory of the Symmetric Groups  The Symmetric Group by Sagan 
Joseph Hlavinka  Sam Freedman  Differential Geometry of Curves and Surfaces  Differential Geometry of Curves and Surfaces by do Carmo 
Keith Richie  Alex McDonough  Combinatorics of Coxeter groups  Combinatorics of Coxeter groups by Bjorner and Brenti 
Taro Shima  Luis Baeza  Geometric Analysis  
Josh Lebo, Elliott Lehrer, Dominick Joo  Shiyue Li  Algebraic Geometry  Foundations of Algebraic Geometry by Vakil 
Student Name(s)  Mentor Name  Reading Project Topic  Reference 
Julia Windham  Ashley Weber  Graph Theory 
Introduction to Graph Theory by Trudeau 
Jackson Markey  Kyle Ferendo  Homotopy Type Theory 
Homotopy Type Theory: Univalent Foundations of Mathematics
by The Univalent Foundations Program, IAS 
Isaiah Liu  Ang Li  Ergodic Theory  Introduction to Dynamical Systems by Brin and Stuck 
Shubham Makharia  Xufan Zhang  Statistical Mechanics  Statistical Mechanics of Lattice Systems by Friedli
and Velenik 
Shamay Samuel  Sarah GriffithSiqueira  Category Theory  Category Theory in Context by Riehl 
Nathan Zaldivar  Alex McDonough  Matroid Theory  Matroid Theory by James Oxley 
Jasper Liu  Sam Freedman  Geometry 
Four Pillars of Geometry by Stillwell 
Jennah Gosciak  Milen Ivanov  Partial Differential Equations  Partial Differential Equations in Action by Salsa 
Peihan Huo  Shamil Asgarli  Elementary Number Theory  Proofs from The Book by Aigner and Ziegler 
Student Name(s)  Mentor Name  Reading Project Topic  Reference 
Alex Walsh  Minsik Han  Arithmetic Dynamics 
An Experimental Introduction to Number Theory by Hutz 
Joshua Lebo  Alex Walker  Sieve Theory 
An introduction to Sieve Methods and their applications by
Cojocaru and Murty 
Kenneth Berglund  Alex McDonough  Spectral Graph Theory  Spectra of Graphs by Brower and Haemers 
Emmanuel Peters  Alex McDonough  Chipfiring on Graphs  ChipFiring and RotorRouting by Holroyd and et al. 
Max Lahn  Ashley Weber  Hyperbolic geometry  Threedimension geometry and topology by Thurston 
Jackson Markey  Terrence George  Enumerative Geometry 

Isaiah Liu  Alex Barron  Stochastic Differential Equations 
Introduction to Stochastic Differential Equations by Evans 
Student Name(s) 
Mentor Name  Reading Project Title  Reference 
Alex Walsh  Seoyoung Kim  Elliptic Curves  The Arithmetic of Elliptic Curves by Silverman 
Timothy Sudijono  Linhan Li  Fourier Analysis  Fourier Analysis by
Duoandikoetxea Fourier Analysis: An Introduction by Stein & Shakarchi 
Silei Ren  Shamil Asgarli  Algebraic Geometry  Introduction to Algebraic Geometry by Hassett 
George Spahn  Giovanni Inchiostro  Tropical Geometry  Introduction to Tropical Geometry by Maclagan & Strumfels 
Joshua Lebo  Milen Ivanov  Martingales  Probability with Martingales by Williams 
Kenneth Berglund  Alex Walker  Analytic Number Theory  Introduction to Analytic Number Theory by Apostol 
Shivam Nadimpalli  Alex McDonough  Combinatorics  Combinatorial Reciprocity Theorems by Beck & Sanyal 
Emmanuel Peters  Laura Walton  Elliptic Curves  Rational Points on Elliptic Curves by Silverman 
Jonghyun Lee  Dori Bejleri  Riemann Surfaces  Riemann Surfaces and Algebraic Curves by Cavalieri & Miles 
Tasha Kim  Isaac Solomon  Applied Topology  Computation Topology: An Introduction by Edelsbrunner & Harer 
Owen Lynch  Kyle Ferendo  Category Theory  Basic Concepts of Enriched Category Theory by Kelly 
Student Name(s)  Mentor Name  Reading Project Topic  Reference 
Salil Singh  Alex Barron  Fourier Analysis 
Fourier Analysis: An Introduction by Stein and
Shakarchi 
Taro Shima  Alex Barron  Fourier Analysis 
Fourier Analysis: An Introduction by Stein and Shakarchi 
Michael Mueller  Ashley Weber  Knot Theory  An Introduction to Knot Theory by Raymond Lickorish 
Anabel Tassoni  Dori Bejleri  Hypergeometric Functions  Hypergeometric Functions, My love by Maasaki Yoshida 
Nicholas Tomlin  Dori Bejleri  Category Theory  Category Theory in Context by Emily Riehl 
George Spahn  Brian Freidin  Chip Firing on Graphs 
ChipFiring and the Critical Group of a Graph by Biggs 
Timothy Sudijono  Xufan Zhang  Random walks and Brownian motion 
Modern Graph Theory by Bela Bollobas Brownian Motion by Peres and MÃ¶rters 
Daniel Keliher  Shamil Asgarli  Representation Theory  Linear Representations of Finite Groups by Serre 
Kenneth Berglund  Shamil Asgarli  Representation Theory  Linear Representations of Finite Groups by Serre 
Max Lahn  Isaac Solomon  Differential Topology 
Differential Topology by Guillemin and Pollack 
Kavi Duvvoori  Alicia Harper  Topos Theory 
Sheaves in Geometry and Logic by MacLane and Moerdijk 
Shivam Nadimpalli  Ian Alevy  Combinatorics 
Proofs from the Book by Aigner, Ziegler and Hofmann 
Junewoo Park  Yuhan Wang  Dynamical Systems 
An Introduction to Chaotic Dynamical Systems by Devaney 