Student Name(s) | Mentor Name | Reading Project Topic | Reference |
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 |
Nathan Zelesko and Jonah Mendel | Siddarth Kannan | Representation theory and combinatorics | Representation theory by William Fulton and Joe Harris |
Dominick Joo | Sam Freedman | Visual Complex Analysis | Visual Complex Analysis by Tristan Needham |
Joanna Tasmin and Angela Zhu | John Ahn | Applications of Linear Algebra | Thirty-three Miniatures by Jiri Matousek |
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 Chip-Firing 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 Griffith-Siqueira | 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 | Chip-firing on Graphs | Chip-Firing and Rotor-Routing by Holroyd and et al. |
Max Lahn | Ashley Weber | Hyperbolic geometry | Three-dimension 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 |
Chip-Firing 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 Mörters |
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 |