Previous Pairings

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 Artmanov	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 Arthamanov	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.