For more recent projects, please visit the new archive.
Fall 2021 Pairings
| Mentee |
Mentor |
Project |
| Rajeev Atla |
Quentin Dubroff |
Markov Chains and Electric Networks |
| Dewan Chowdhury |
Victoria Chayes |
|
| Rohit Rao |
Evan Gong |
|
| Akhil Reddy |
Nicholas Backes |
|
| Chris Shafer |
Maxwell Aires |
|
Summer 2021 Pairings
Spring 2021 Pairings
Spring 2020 Pairings
| Mentee |
Mentor |
Project |
| Anne Antal |
Terence Coelho |
The Factorial Function |
| Matthew Isaac |
Quentin Dubroff |
|
| Sangjun Ko |
Blair Seidler |
Two Results on Prime and Divisor Sums |
| Chenqi Zhao |
Brian Pinsky |
Fingerprinting and Its Applications |
Older Pairings
Fall 2020 Pairings
| Mentee |
Mentor |
| Daniel Hogan |
Leonidas Daskalakis |
| Daniel Twili |
Blair Seidler |
| Saydain Sheikh |
George Hauser |
| Dewan Chowdhury |
Louis Gaudet |
| Girish Ganesan |
Doyon Kim |
| Wassim Idrissi Azzouzi |
Rashmika Goswami |
| Kailash Raman |
James Holland |
Fall 2019 Pairings
| Mentee |
Mentor |
| Siddharth Baireddy |
Justin Semonsen |
| Dale Mack |
Jason Saied |
| Zhiyan Chen |
Brooke Logan Ogrodnik |
Summer 2019 Pairings
| Mentee |
Mentor |
| Tianyu Chen |
Saurabh Gosavi |
| Stephanie Zhou |
Parker Hund |
| Karen Li |
Mingjia Yang |
| Matthew Issac |
Alejandro Ginory |
Spring 2019 Pairings
| Mentee |
Mentor |
| Zhigang Wu |
Brian Pinsky |
| Salman Manzoor |
Soham Chanda |
| Adeeb Kabir |
David Herrera |
| Arnav Lohe |
Tamar Lichter Blanks |
| Yasa Syed |
Matt Charnley |
| Riya Prabhudesai |
Xiaoping Zhu |
Fall 2018 Pairings
| Mentee |
Mentor |
| Ananya Kapoor |
Justin Semonsen |
| Qiqi Liu |
Hamidreza Mahmoudian |
| Mahavir Patel |
Liuwei Gong |
| Nick Cooper |
George Hauser |
| Anton Maliev |
Yonah Biers-Ariel |
Summer 2018 Pairings
| Mentee |
Mentor |
| Simon Bird |
James Holland |
| Bill Lee |
Matthew Charnley |
| Benjamin Yan |
Alejandro Ginory |
Spring 2018 Pairings
| Mentee |
Mentor |
| Yingyi Guo |
Alejandro Ginory |
| Xulai Jiang |
Chloe Wawrzyniak |
| Scott Harman |
Louis Gaudet |
| Leanne Young |
Matthew Charnley |
Fall 2017 Pairings
| Mentee |
Mentor |
Project |
| Alex Elgart |
Matthew Welsh |
The Prime Number Theorem |
| Cecelia Higgins |
Martin Koeberl |
Large Cardinals |
| Chenyang Ma |
Louis Gaudet |
Topics in Number Theory and Combinatorics |
| Maneet Mahal |
Kelly Spendlove |
Cohomology and Hodge Theory |
| Guantao Zhao |
Jinyoung Park |
Graph Theory |
Spring 2017 Pairings
| Mentee |
Mentor |
Project |
| Daniel Solano |
Marco Castronovo |
Manifolds in Fluid Dynamics |
| Michael Zlatin |
Michael Breeling |
Fourier Analysis: Proving Heisenberg Uncertanity Principle |
| Hyeri Cho |
Abigail Raz |
Games on Hypergraphs |
| Mahmoud Aboulmakarem |
Pat Devlin |
Nash Equilibrium in Game Theory |
| Jennifer Borucki |
Corrine Yap |
Markov Chains |
| Nicholas LoBosco |
Surya Teja Gavva |
Public key Cryptography |
| AbdulRahman Alharbi |
Alejandro Ginory |
Lie Groups and Symmetries of PDEs |
| Jacob Dabrowski |
Erik Amorim |
Fourier Series |
Fall 2016 Pairings
| Mentee |
Mentor |
Project |
| Muhammad Mahdi Emad |
Nathan Fox |
Theoretical Computer Science |
| Jingchen Liang |
Justin Semonsen |
Generating Functions |
| Mauricio Alvarez |
Pat Devlin |
Combinatorial Game Theory |
| General Obiora Ozochiawaese |
Alejandro Ginory |
Fundamental Group of Topological Spaces |
| Srivatsa Tata |
Semeon Artamonov |
Differential Geometry and Yang-Mills Theory |
Summer 2016 Pairings
| Mentee |
Mentor |
Project |
| Austin Chennault |
Fei Qi |
Real Analysis |
| Jing Yu |
Fei Qi |
Real Analysis |
| Francesca Falzon |
Pat Devlin |
Graph Algorithms |
Spring 2016 Pairings
| Mentee |
Mentor |
Project |
| Matthew Kownacki |
Katie McKeon |
Analytic Number Theory |
| Chang-Yuan Li |
Erik Amorim |
|
| Jingchen Liang |
Cole Franks |
Enumerative Combinatorics |
| Han Lin |
Nathan Fox |
|
| Xiaoou Su |
Rachel Levanger |
Computational Topology |
| Renna Yi |
Matt Charnley |
Legendre polynomials |
Fall 2015 Pairings
| Mentee |
Mentor |
Project |
| AbdulRahman Alharbi |
Alejandro Ginory |
Group Theory |
| Julian Barata |
Ed Karasiewicz |
Number Theory |
| Jane Frank |
Glen Wilson |
Fractals, Topology |
| Nivedh Rajesh |
Howard Nuer |
Number Theory |
| Kyle Robbins |
Chloe Urbanski |
Analysis |
| Xiaoou Su |
Rachel Levanger |
Computational Topology |
| Jianhui Xu |
Nathan Fox |
Number theory |
| Jing Yu |
Zhuohui Zhang |
|
Summer 2015 Pairings
| Mentee |
Mentor |
Project |
| Jusin Schulberg |
Zhuohui Zhang |
Elementary number theory |
| Jongwon Kim |
Alejandro Ginory |
Representation theory of finite groups |
| Rachel Barnett |
Fei Qi |
Real analysis |
| Michael Jang |
Frank Wagner |
Real analysis |
| Allison Regna |
Pat Devlin |
Markov chains |
Spring 2015 Pairings
| Mentee |
Mentor |
Project |
| Jiaoyue Yuan |
Hanlong Fang |
Combinatorics |
| Benjamin Noland |
Matt Charnley |
Fourier analysis |
| Yuan Zhuang |
Thomas Sznigir |
Real analysis |
| Matthew Kownacki |
Lun Zhang |
Rigorous Probability Theory |
| Jared Gallegos |
Tim Naumoviz |
The Probabilistic Method |
| Xiaoyue Zhang |
Trinh Tien |
Abstract Algebra |
Fall 2014 Pairings
| Mentee |
Mentor |
Project |
| Thomas Gill |
Tim Naumovitz |
| Yingjie Hu |
Shashank Kanade |
| Justine Langman |
Rebeccas Coulson |
| Kunting Li |
Patrick Devlin |
| Michael McNulty |
Matt Charnley |
| Andres Ortiz |
Alejandro Ginory |
| Joy Zeng |
Brian Garnett |
Measure Theory |
| Yiyi Zhao |
Shashank Kanade |
Summer 2014 Pairings
| Mentee |
Mentor |
Project |
| Troy Sewell |
Bud Coulson |
|
| Justin Luckenbaugh |
Mike Donders |
| Basil Ahmad |
Pat Devlin |
| Kevin Sun |
Edmund Karasiewicz |
| Roland Gorzkowski |
Matthew Russell |
Fall 2013 Pairings
| Mentee |
Mentor |
Project |
| Aleksandra Niepla |
Knight Fu |
Analysis on manifolds |
| Ushma Majmudar |
Glen Wilson |
Dynamical systems |
| Eric Fay |
Ed Chien |
Topology of Manifolds |
| Xuan Zuo |
John Miller |
Introductory Financial Mathematics |
| Aniket Shah |
Ed Karasiewicz |
Introductory Abstract Algebra |
| Richard Wong |
Semeon Arthamonov |
Knot Theory |
| Brennan Young |
Burak Kaya |
Set theory |
Summer 2013 Pairings
| Mentee |
Mentor |
Project |
| Aleksandra Niepla |
Knight Fu |
Generalized Uncertainty Principle |
Spring 2013 Pairings
| Mentee |
Mentor |
Project |
| Haripriya Chakraborty |
Michael Marcondes de Freitas |
Ergodic Number Theory |
| Dhir Patel |
Humberto Montalvan-Gamez |
Introduction to Algebraic Number Theory |
| Michael Hamilton |
Moulik Balasubmaranian |
Basics of Calculus of Variations |
| Gyu Eun Lee* |
Ali Malaaoui |
Lefschetz Fixed Point Theory |
| Yao Rui Yeo |
Burak Kaya |
Set Theory |
Fall 2012 Pairings
| Mentee |
Mentor |
Project |
| Haripriya Chakraborty |
Michael Marcondes de Freitas |
Axiomatic Set Theory |
| Michael Hamilton |
Jake Baron |
Measure Theoretic Probability |
| Gyu Eun Lee |
Ali Maalaoui |
Degree Theory |
Summer 2011 Pairings
| Mentee |
Mentor |
|
| Jordan Ash |
Chris Sadowski |
| Daniel Cunha |
Humberto Montalvan-Gamez |
| Koushik Dasika |
Brian Garnett |
| Joseph Primavera |
Humberto Montalvan-Gamez |
| Aron Samkoff |
Kellen Myers |
| Jazmin Velez |
David Duncan |
Spring 2011 Pairings
| Mentee |
Mentor |
Project |
| Michael Boemo |
Brent Young |
Riemannian Geometry |
| Daniel Cunha* |
Humberto Montalvan-Gamez |
Elementary Group Theory, Matrix Groups and Mathematical Theory of Musical Composition |
| Koushik Dasika* |
Brian Garnett |
Real Analysis |
| David Feinblum* |
Michael Marcondes de Freitas |
Extraordinary Examples in Real Analysis |
| Christopher Glass* |
Thom Tyrrell |
Binary Quadratic Forms |
| Diana Oliff* |
Jay Williams |
Nonstandard Analysis |
| Aron Samkoff* |
Kellen Myers |
Matrix Lie Groups |
| Vaibhav Sharma* |
Justin Bush |
Measure Theory and Brownian Motion |
| Jazmin Velez* |
David Duncan |
Linear Algebra of a Complex Variable with Applications |
Fall 2010 Pairings
| Mentee |
Mentor |
Project |
| Michael Boemo |
Brent Young |
Differential Geometry |
| Daniel Cunha |
Humberto Montalvan-Gamez |
Abstract Algebra and the Philosophy of Mathematics |
| Koushik Dasika |
Emilie Hogan |
Hypergeometric Function Summation |
| David Feinblum |
Michael Marcondes de Freitas |
Axiomatic Set Theory and the Construction of Number Systems |
| Christopher Glass |
Brandon Bate |
Binary Quadratic Forms |
| Diana Oliff |
Jay Williams |
Nonstandard Analysis |
| Vivak Patel |
Thom Tyrrell |
The Riemann Hypothesis and the Prime Number Theorem |
Summer 2010 Pairings
| Mentee |
Mentor |
Project |
| Darlayne Addabbo |
Knight Fu |
Non-Commutative Algebra |
| Daniel Cunha |
Humberto Montalvan-Gamez |
Mathematics & Music + Elementary Number Theory |
| Pratik Desai |
David Duncan |
Set Theory, Equivalence Classes and the Hopf Fibration |
| Christopher Glass |
Brandon Bate |
Topics in Number Theory |
| Abdelrahman Mohamed |
Michael Marcondes de Freitas |
Weierstrass' Approximation Theorem |
| Vivak Patel |
Thom Tyrrell |
The Prime Number Theorem |
| Dustin Richwine |
Robert McRae |
Abstract Algebra |
| Vaibhav Sharma |
Brent Young |
Real Analysis |
Spring 2010 Pairings
| Mentee |
Mentor |
Project |
| Darlayne Addabbo |
Knight Fu |
General Topology |
| Matthew Fishbein* |
Ali Maalaoui |
Fourier Analysis & Applications |
| Barry Ickow |
Camelia Pop |
Introduction to Mathematical Finance |
| Mark Kim |
Yusra Naqvi |
Representation Theory of Finite Groups |
| John Marcus |
Thom Tyrrell |
Primes in Arithmetic Progressions & Cyclotomic Polynomials |
| Jordan Romvary |
Justin Bush |
The Borsuk-Ulam Theorem |
| Emily Sergel |
Kellen Myers |
Graph Theory & Ramsey Theory |
| Vaibhav Sharma |
Brent Young |
Analysis |
Fall 2009 Pairings
| Mentee |
Mentor |
Project |
| Barry Ickow |
Brandon Bate |
Analytic Number Theory |
| Ian Laflotte |
Brent Young |
Stability of Matter in Quantum Mechanics |
| John Marcus |
Thom Tyrrell |
The Group Law on Weierstrass Elliptic Curves |
| Drew O'Neill |
Humberto Montalvan-Gamez |
Mathematics and Music |
| Dustin Richwine |
Jay Williams |
Recursion Theory |
| Lea Umansky |
Justin Bush |
The Arc Sine Law |
Summer 2009 Pairings
| Mentee |
Mentor |
Project |
| Vyacheslav Kiria* |
Humberto Montalvan-Gamez |
Basic Analysis |
Spring 2009 Pairings
| Mentee |
Mentor |
Project |
| Ari Blinder |
Sarah Blight |
Primes and Arithmetic Functions |
| Mark Kim |
Robert McRae |
Group Theory |
| Vaibhav Sharma* |
Jorge Cantillo |
Sieve Theory |
Fall 2008 Pairings
| Mentee |
Mentor |
Project |
| Daniel Greene |
Andrew Baxter |
Fractal Geometry |
| William Gunther |
Jay Williams |
Modal Logic |
| Angel David Martinez* |
Brandon Bate |
Algebraic Number Theory |
| Michael Ratner |
Wes Pegden |
Group Theory |
| Vaibhav Sharma |
David Duncan |
the Riemann-Zeta Function |
Summer 2008
| Mentee |
Mentor |
Project |
| Timothy Beauchamp |
Aek Thanatipanonda and Beth Kupin |
Graph Theory |
| Meredith Klein |
Eric Rowland |
Elementary Number Theory |
| Ryan Kowalick |
Yusra Naqvi |
Finite Reflection Groups |
| Chris Skalit |
Catherine Pfaff |
Algebraic Topology |
| Bo Zhen |
James Dibble |
Complex Variables |
Spring 2008
| Mentee |
Mentor |
Project |
| Ray DiFelice* |
Ming Shi |
Mathematical Finance |
| Sherwood Hachtman |
Paul Ellis |
Set Theory |
| Amanda Hood |
Beth Kupin |
Probabilistic Method |
| Justin Martin* |
Humberto Montalván |
Elementary Number Theory |
| Michael Park* |
Reza Rezazagedan |
Lie Algebras |
| Michael Ratner |
Eduardo Osorio |
Probability Theory and Stochastic Analysis |
| Leizar Teran |
Justin Bush |
Measure Theory and Probability |
| Bo Zhen |
James Dibble |
Modules |
Fall 2007
| Mentee |
Mentor |
Project |
| Matt Calhoun |
David Duncan |
Matrix Lie Groups |
| Jordan Ledvina |
John Bryk |
Analytic Number Theory |
Summer 2007
| Mentee |
Mentor |
Project |
| Yoni Berkowitz* |
Aek Thanatipanonda |
Analysis |
| Peter Enny |
Mike Neiman |
Differential Geometry |
| David Gonzalez |
Eric Rowland |
Probability Theory |
| Joseph Guirguis |
Paul Geyer |
Financial Mathematics |
| Jordan Ledvina |
John Bryk |
Analytic Number Theory |
| Joonhee Lee |
Liviu Ilinca |
Probability Theory |
| Jing Pu |
Beth Kupin |
Abstract Algebra |
| Charles Siegel |
Sara Blight |
Algebraic Number Theory |
| Leizer Teran |
Arvind Ayyer |
Statistical Mechanics |
Spring 2007
| Mentee |
Mentor |
Project |
| Wei Chen |
Brian Manning |
Calculus on Manifolds |
| Mark Dondero* |
Sam Coskey |
Model Theory |
| Jordan Ledvina |
Catherine Pfaff |
Geometric Group Theory |
| Tim Lou |
Eric Rowland |
Difference Equations |
| Christopher Skalit |
Mike Neiman |
Group Theory in Quantum Chemistry |
| Leizer Teran |
Jared Speck |
Maxwell's Equations |
| Ally Tubis* |
Paul Ellis |
Generating Functions |
Fall 2006
| Mentee |
Mentor |
Project |
| Mark Dondero |
Sam Coskey |
Completeness of Modal Logic |
| Patrick Mucci |
Aek Thanatipanonda |
Number Theory |
| Charles Siegel* |
Reza Rezazagedan |
Ricci Flow on Manifolds |
| Tamar Swerdel |
Scott Schneider |
Set Theory |
Summer 2006
| Mentee |
Mentor |
Project |
| Jordan Ledvina |
Chris Stucchio |
Functional Analysis and Quantum Mechanics |
| Adam Pantel |
Paul Ellis |
Set Theory |
Spring 2006
| Mentee |
Mentor |
Project |
| George Fu |
Sam Coskey |
Measure Theory |
| Jack Hanson |
Moa Apagodu |
Integer Partitions |
| Jacob Hosler |
Eric Rowland |
Elementary Number Theory |
| Aziza Jefferson |
Zsuzsi Dancso |
Linear Algebra and Representation Theory |
| Jordan Ledvina |
Catherine Pfaff |
Topology |
| Will McGowan |
Brian Manning |
Minimal Surfaces |
| Adam Pantel |
Wes Pegden |
Graph Theory |
| Christopher Sadowski* |
John Bryk |
p-adic Numbers |
| Charles Siegel |
Brian Vancil |
Particle Physics through Groups and Gauge Theory |
| Eric Wayman |
Jared Speck |
Fourier Analysis Techniques for Quantum Mechanics |
Fall 2005
| Mentee |
Mentor |
Project |
| Paul Geyer* |
Paul Ellis |
Metric Spaces |
| Mark Labrador |
Eric Rowland |
Elementary Number Theory |
| Yifan Lin |
Dan Staley |
Elementary Number Theory |
| Christopher Sadowski |
John Bryk |
Quadratic Reciprocity |
| Charles Siegel |
Sarah Genoway |
Commutative Algebra |
| Marla Slusky* |
Wes Pegden |
Primality Testing Algorithms |
| Eric Wayman |
Jared Speck |
Hilbert Spaces and Fourier Analysis |
Summer 2005
| Mentee |
Mentor |
Project |
| Alex Conway* |
Mike Richter |
Topology |
| Paul Geyer |
Paul Ellis |
Set Theory |
| Michael Hall* |
Eric Rowland |
Algebraic Number Theory |
| Nathan Melehan |
Saša Radomirović |
Elliptic Curve Cryptography |
| Aron Samkoff |
Catherine Pfaff |
Geometry of Surfaces |
| Charles Siegel |
Catherine Pfaff |
Riemann Surfaces |
| Eric Wayman |
Jared Speck |
Classical Mechanics |
* The mentee participated in the program but did not give a final presentation.
