Undergraduate Research

The School of Mathematics at Georgia Tech has a rich tradition for undergraduate research. The projects have been mentored by many different faculty, on topics ranging from fad formation, to random walks, tropical geometry, one bit sensing, extremal graph theory, and convex polyhedra. Our students have published many papers, have won a number of awards, and have been very successful in their graduate school applications. For a sample of the past projects please see below. 

During the Summer 2024 the School of Mathematics will run the following projects (click on the topic for project description): 

To complement the research projects, the School of Mathematics also will hold professional development sessions on relevant topics, such as:

  • How to create and present a poster,
  • Writing CV, personal statement, papers using LaTeX,
  • Why go to math graduate school, and what to expect there,
  • Applying to graduate school,
  • Responsible conduct of research.

Apply at MathPrograms.org. The deadline is February 19th, 2024. Recruiting will be ongoing in February, March and April and all decisions will be announced by April 10th.

A typical research project will last approximately 8 weeks, in June and July, although the exact timing is negotiable and can be worked out between students and their mentors. There will be a summer stipend, and there is affordable housing available on campus. More details can be found at the FAQ page.

If you have any questions about the program, or about undergraduate research in general, please contact Igor Belegradek.

The School of Mathematics generally does not organize undergraduate research during Spring & Fall semesters. However some faculty mentor students on individual basis. 

Students are invited to the Atlanta Undergraduate Research in Math Seminar.

 




Research Experiences for Undergraduates at Georgia Tech

Summer 2024 GT REUs

Special Thanks go to Noah Solomon, Christina Athanasouli and Rahul Kumar for their role as REU 2024 General Helpers
Mentor Student Topic
Matt Baker Hope Dobbelaere (GaTech) The Matroid Bingo Game
Federico Bonetto Vishal Kumar* (GaTech) Tangent Space of the Stable Manifold of the Perturbed Arnold's Kitten Map
Xinghan (Jack) Wang* (UC Berkeley)

*Jack and Vishal's work resulted in this poster
Gong Chen Mahnav Petersen* (U Chicago) Fourier Analysis and Dispersive Equations
Yongyu Qiang* (GaTech)

*Mahnav and Yongyu's work resulted in this poster
John Etnyre and Sierra Knavel Angela Cai* (University of Pennsylvania) Loops in 4 Dimensional Spaces
Nina Chafee* (Haverford College)
Brooke Lytle* (Vanderbilt University)
Alexandra Vorontsova* (Baruch College)

*Angela, Nina, Brooke, and Alexandra's work resulted in this poster
Tom Kelly Alexander Divoux (GaTech) Counting colorings with the entropy method

*
Rachel Kuske, Christina Athanasouli, and Rahul Kumar Aine Doherty* (Vassar College) Cooperative Energy Dynamics of a Vibro-Impact System
Yash Permalla* (Johns Hopkins University)
Arnav Garg** (New York University) Improving Energy Harvesting Using a Coupled Vibro-Impact System
Nathan Samuel Hasegawa** (Harvey Mudd)

*Aine and Yash's work resulted in this poster
**Arnav and Nathan's work resulted in this poster
Rachel Kuske, Maria Martignoni, and Sam Brown Aleksandra Gavrilova* (University of Minnesota Duluth) Mathematical Modeling of Pseudomonas aeruginosa Quorum Sensing
Winn Gillen* (University of Vermont)
Brendan Shrader* (University of Central Florida)
Karthik Krishnan** (GaTech) A multi-scale simulation approach to understanding
aggregate dynamics in Pseudomonas aeruginosa

*Aleksandra, Winn, and Brendan's work resulted in this poster
**Karthik's work resulted in this poster
Rachel Kuske and Sam Brown Matthew Walloch* (Georgia Tech) In Silico Evolution Dynamics of Quorum Sensing

*Matthew's work resulted in this poster
Wenjing Liao Asim Suhail* (University of Texas Austin) Dimensionality Reduction for Predicting COVID-19 Dynamics
Emily Zhao* (GaTech)
Nyambura Njenga* (GaTech)

*Asim, Emily and Nyambura's work resulted in this poster
Rose McCarty Anshul Tripathy* (GaTech) Weighted Independent Set and Bounded Odd Cycle Tree Decompositions

*Anshul's work resulted in this poster

Summer 2023 GT REUs

Special Thanks go to Roberta Shapiro in her role as REU 2023 General Helper
Mentor Student Topic
Austin Christian and Daniel Irvine Maya Basu* (UC Berkeley)  Persistent Legendrian Contact Homology
Ethan William Clayton* (UIUC)
Fredrick Mooers* (Virginia Tech)

*Ethan, Maya, and Fredrick's work resulted in this poster
Orli Herscovici Aryaan Jena* (Cornell University) Numerical Approaches to Statistics on Ordered Set Partitions
Austin Longin* (GaTech)

*Aryaan and Austin's work resulted in this poster
Rachel Kuske, Rahul Kumar, and Christina Athanasouli Emily Helene Almgren* (Haverford College) Dynamics of a Vibro-Impact Energy Harvester Under Non-Smooth Forcing
Hung Nguyễn* (U Penn) 
Nilay Patel* (Cornell U) 
Karthik Krishnan (GaTech)   
Samuel Ho-Ching Kwan** (Rice University) Markov Chain Modeling of Inelastic Impacts in Energy Harvesters
Aaron Lee** (UC Davis) 

*Emily, Hung, and Nilay's work resulted in this poster
**Samuel, and Aaron's work resulted in this poster
Tom Kelly Alexander Divoux* (GaTech) Random Latin Squares
Camille Elisabeth Kennedy* (Northwestern University) 
Jasdeep Singh Sidhu* (Stanford U)

*Alexander, Camille, and Jasdeep's work resulted in this paper and this poster to be presented at JMM 2024
Anton Leykin Timothy Cheek* (U Michigan) Solving System of Polynomials via Analytic Continuation and Monodromy
Taoran Wen* (GaTech)
Vladyslav Havriutkin** (GaTech)  6R Robots and their Inverse Kinematics via Monodromy
Cameron MacMahon** (Lehigh University)
Harris Barton (GaTech)  Pose Determination with Conics
Vishal Muthuvel (Columbia U)

*Timothy and Taoran's work resulted in this poster, which Timothy presented at the Young Mathematicians Conference (YMC)
**Vladyslav and Cameron's work resulted in this poster
***Harris and Vishal's work resulted in this poster
Dan Margalit, Sahana Balasubramanya, Karim Sane Ryan Kickmann, and Wade Bloomquist  Sami Aurin* (GT/Agnes Scott College) The Curve Graph of the 5-Punctured Sphere
Darrion Thornburgh* (Bard College)
Georgia Burkhalter** (U North Georgia) Property (NL) in Coxeter Groups
Rachel Niebler** (Haverford) 
Sophie Gardiner*** (Haverford College) The Non-Simple Arc Graph
Alyssa McPoyle*** (Bowdoin College)
Matthew Palani Lideros**** (UC Berkeley)  Geodesic-preserving bijections of Thurston geometries
Akash Narayanan**** (GaTech)

*Sami and Darrion's work resulted in this poster
**Georgia and Rachel's work resulted in this poster
***Sofie and Alyssa's work resulted in this poster
****Akash and Matthew's work resulted in this poster
Jonathan Simone Katerina Stuopis* (University of Wisconsin-Madison) Cubiquitous Lattices and χ-sliceness
Erica Choi* (Columbia U)

*Erica and Katerina's work resulted in this poster
 

Summer 2022 GT REUs

Special Thanks go to Ashley K. Wheeler in her role as REU 2022 General Helper
Mentor Student Topic
Igor Belegradek Dimitrios Kidonakis* (GaTech) Moduli Space of Complete Nonnegatively Curved Riemannian Metrics

*Dimitrios' work resulted in this poster.
Anton Bernshteyn Faren Roth* (Yale University) Bounding Chromatic Number of Graphs with Girth at Least 5

and 

On the Average Chromatic Number and Independence Number
Henry Asa Simmons* (Iowa State University) 
Cameron Alexander Chang* (University of Chicago) 
Horace Fusco* (Carleton College) 
Sarah Peterson* (Indiana University-Bloomington) 

*Faren, Henry, Cameron, Horace, and Sarah's work resulted in this poster and this poster
Austin Christian and Agniva Roy Edo Biluar* (Grinnell College) Legendrian Connected Sums
Sarah Vaughn Brown* (SUNY Buffalo)
Michael J Edwards** (University of Scranton)  Product Structure as an Invariant for Legendrian Knots
Manyi Guo** (Lehigh University) 
Bitong (Shelly) Cao** (Hamilton College) 

*Edo and Sarah's work resulted in this poster
**Manyi, Michael, and Shelly's work resulted in this poster
Christian Houdré Dorian Kidonakis* (GaTech) The Eigenvector-eigenvalue Identity: Generalizations and Extensions

*Dorian's work resulted in this poster
Jonathan Simone and Hannah Turner Evan Huang* (Rice University) Applications of Donaldson’s Diagonalization Theorem
Sophia Fanelle* (Barnard College) 
Ben Huenemann* (University of Utah)

*Evan, Sophia, and Ben's work resulted in this poster
Edward Timko Yash Rastogi* (University of Chicago) Estimates for Power-Bounded Operators

*Yash's work resulted in this poster
Manasa Vempati Edward Bielawa* (Brown University) Dyadic Decomposition Approaches in Harmonic Analysis and the T(1) Theorem
Zhaocheng Dong* (Columbia University) 
Peter Grundy Nydam* (Vassar College)

*Edward, Zhaocheng, and Peter's work resulted in this poster
Ashley K. Wheeler Andrew Rodriguez* (Baruch College CUNY) The Toric Structure of Principal 2-minor Varieties
Erick Boniface* (North Carolina State University) 
Saisudharshan Sivakumar* (University of Florida) 

*Andrew, Erick, and Saisudharshan's work resulted in this poster
 

Summer 2021 GT REUs

Special Thanks go to Roberta Shapiro in her role as REU 2021 General Helper
Mentor Student Topic
Anton Bernshteyn Tyler Brazelton* (GaTech) Counting Colorings of Triangle-Free Graphs
Ruijia Cao** (GaTech)
Akum Kang* (GaTech)

*Tyler, Ruijia, and Akum's work resulted in this paper, which is currently under review for publication

**Ruijia gave a talk about the result in the GT Graph Theory Seminar
Jianbo Cui, Luca Dieci and Haomin Zhou Sam William Dulin* (U Virginia) Numerical Simulations in Optimal Transport
Scott McIntyre* (UC Berkeley) 

*Sam and Scott's work resulted in this poster
Jorge Gonzales Ivan Antonio Garcia* (Princeton U) Existence of a Periodic Orbit in the Fitzhugh-Nagumo Model
Foyez Alauddin* (Trinity School NYC) 

*Foyez and Ivan's work resulted in this poster
Siddhi Krishna and Marissa Loving Len White* (CalPoly Pomona) Braid Groups and the Braid Index of 1-Bridge Braids
Viridiana Jasmin Neri* (Columbia U) 
Dane Gollero* (U Utah)
Izah Tahir* (GaTech)

*Dane, Viridiana, Izah, and Len's work resulted in these slides for a talk and this paper
Rachel Kuske Ricardo Ivan Gonzalez Franco (CIMAT, U Guanajuanto, Mexico) Targeted Energy Transfer with Vibro-Impact Nonlinear Energy Sink
Julia Sanger (Bucknell U) 
Corinne Vicario* (Pomona College)
Ruofeng 'Charlie' Liu* (Rice U)

*Charlie and Corinne's work resulted in this poster
Wenjing Liao Joshua Gammage* (U Texas at Dallas) The Double Descent Phenomenon in Machine Learning
Jincheol 'Mike' Jeong* (New Jersey Institute of Technology) 

*Josh and Mike's work resulted in this poster
Doron Lubinsky Sarah Gold* (Haverford College) Erdős-Szekeres Polynomials and Their L2 Norms
Ephraim Linder* (Rutgers U) 
Cooper Billsborough* (GaTech)
Jiahui 'Rose' Yu* (Pomona College)

*Cooper, Sarah, Ephraim, and Jiahui's work resulted in this poster, and their work will appear in
the paper On Average Growth of Erdős-Szekerez Polynomials in Acta Math. Hungarica. 
Cheng Mao Sean Stuhlsatz* (U Virginia) Ranking from Pairwise Comparisons
Alexander Mangiapane* (UNC at Chapel Hill) 

*Alex and Sean's work resulted in this poster
Dan Margalit and Wade Bloomquist Elyssa Cirillo* (Christopher Newport U) Counting Filling Pairs on Surfaces
Jiamin Li* (Agnes Scott) 
Alice Ponte* (GaTech) 

*Elyssa, Jiamin, and Alice's work resulted in this poster
Dan Margalit and Yvon Verberne Adele Long* (Smith College) Automorphisms of the Fine Curve Graph
Thi Phuong Anh 'Anna' Pham* (U Texas at Dallas) 
Wenxi Claudia Yao* (U Chicago)

*Adele, Anna, and Claudia's work resulted in this poster, and 
a paper which will appear in the Transactions of the American Mathematical Society
Dan Margalit and Nancy Scherich Julia Shneidman* (Rutgers U) Curves in Non-Orientable Surfaces
Sarah Ruth Nicholls* (Wake Forest U) 

*Sarah and Julia's work resulted in this poster, and their work won the
2021 MAA Outstanding Student Paper Session Presentation Award at Mathfest
Dan Margalit Caleb Partin* (GaTech) Inductive Methods for Twisted Rabbit Problems
Lily Li* (UC Berkeley) 

*Caleb and Lily will give a talk on their results at the Tech Topology Conference
Mayya Zhilova Meredith Clayton* (Stephen Austin State U) Bootstrapping on Heavy Tail Data
Rachel Thornton* (U Texas at Austin) 

*Meredith and Rachel's work resulted in this poster
 

Summer 2020 GT REUs
Wade Bloomquist and Roberta Shapiro Jose Luis Guzman (UT Austin)   Images of Untwisted Dijkgraaf-Witten Representations
Andrea Barton (Brigham Young U)
Hannah Moon (U Michigan)
*Jose, Andrea, and Hannah's work resulted in this poster
Federico Bonetto Charles Haynes* (GaTech) The Lyapunov Spectrum of Coupled Arnold Cat Maps.

*Charles' work resulted in this presentation
Rachel Kuske and Larissa Serdukova Sam Dulin* (University of Virginia) Dynamics and Noise in Energy Harvesting
Kailee Lin* (Harvey Mudd College)
Yihua Xu** (GaTech) Dynamics and Noise in Optimization Algorithms
Ariba Khan** (Agnes Scott C)

*Sam and Kailee's work resulted in this presentation
**Yihua and Ariba's work resulted in this presentation, and the research has made to several conferences including
Mathematics Continued Conferences, UMS Poster Session, and the
Nebraska Conference for Undergraduate Women in Mathematics Poster session
Miriam Kuzbary and Roberta Shapiro Madison Ford* (Wayne State U) Pure Braids and Link Concordance
Sarah Pritchard* (GaTech) 
Erin Wilkerson* (Clark Atlanta)  
Ben Pagano* (Occidental C)

*Madison, Sarah, Erin, and Ben's work resulted in this poster, and this paper
Doron Lubinsky Ana Sammel* (Humboldt State U) Generalizations of Orthogonal Polynomials
Erdos-Szekeres Type Problems
Cooper Billsborough* (GaTech)
Samuel Hart* (GaTech)
Michael Freedman* (U Florida)
Ari Pomeranz* (U Marlyand)
Gidon Kowalsky* (GaTech)

*Ana, Cooper, Samuel, Michael, Ari, and Gidon's work resulted in this poster, and 
a paper which will appear in Proceedings of the AMS
Cheng Mao Zachary Sekaran* (UPenn) Statistical Ranking
Haoran Zhang* (GaTech)

*Zachary and Haoran's work resulted in this presentation
Henry Matzinger Hannah Phillips* (GaTech) Statistical Study of Covid-19 Epidemy
*Hannah's work resulted in this presentation
Jung Park Daniel Guyer (U Wisconsin-Eau Claire)  Knot Concordance
Thomas Sachen (Princeton U)
*Daniel and Thomas' work resulted in this poster and paper
Lutz Warnke Suchakree "Petch" Chueluecha* (Lehigh U) Random Graphs/Networks
Tolson Bell** (GaTech)

*Suchakree and Tolson's work resulted in a 20-min talk at the Young Mathematicians Conference (YMC) on August 14th, and
the presentation of this poster at the Undergraduate Mathematics Symposium (UMS) on November 7th,
as well as this paper which has already recieved a citation 
**Tolson also gave a 55-min talk in the Georgia Tech ACO Student Seminar on October 23rd
 

Summer 2019 GT REUs
Mentor Student Topic
Prasad Tetali Daniel Hathcock* (GaTech)  

*Daniel's work resulted in a paper Acyclic Orientations of Complete Multipartite Graphs, coauthored by Arvind Ayyer and Prasad Tetali
and resulted in this paper and this poster which has been/will be presented at the 
Young Mathematicians Conference 2019, Ohio State University, and the
Joint Mathematics Meeting 2020, Denver, CO
Doron Lubinsky Gidon Kowalsky* (GaTech)  

*Gidon's work resulted in this paper
Yoav Len Steven Creech* (GaTech)  
Caelan Ritter* (Brown)
Derek Wu* (GaTech)

*Steven, Caelan, and Derek's work resulted in this paper that appeared here
and they gave a poster and slide presentation at the 
Young Mathematicians Conference 2019, Ohio State University
Dan Margalit with Wade Bloomquist (GaTech) Jessica Appel* (Kentucky) Congruence Subgroups
Katie Gravel* (MIT)
Annie Holden* (Colby)

*Jessica, Katie, and Annie's work resulted in this poster and this paper
and has been/will be presented at the
Undergraduate Geometry and Topology Summer Workshop 2019 (Katie and Annie), Notre Dame, 

Young Mathematicians Conference 2019 (Jessica and Katie), Ohio State University, and
Nebraska Conference for Undergraduate Women 2020 (Jessica, Katie, and Annie), U Nebraska

Outstanding Poster, Joint Mathematical Meetings, Denver, Feb 2020
Dan Margalit with Kevin Kordek (GaTech)  Alice Chudnovsky* (illinois) Totally Symmetric Sets
Lily Li* (Berkeley)
Caleb Partin* (GaTech)

*Alice, Lily, and Caleb's work resulted in this paper, and
their work will be presented at the 
Nebraska Conference for Undergraduate Women 2020 (Lily), U Nebraska

Honorable Mention, Joint Mathematical Meetings Poster Session, Denver, Feb 2020
Dan Margalit with Hyunshik Shin (UGA) Sidhanth Raman* (GaTech) Stretch Factors
Nia Walton* (Spelman)
Ruoyi Wang* (Agnes Scott)

*Sidhanth, Ruoyi, and Nia's work resulted in this poster, and
their work was presented at the 
Young Mathematicians Conference 2019 (Sidhanth and Ruoyi), Ohio State University
Rachel Kuske Janice Lee (Pomona)  
Rachel Walker* (Central Washington U)
Emily Zhang* (MIT)
Trevor Ridley** (Pomona)
Charanpreet Singh (Adelphi U)
Mil'Yonta Wiliams** (U of Alabama, Huntsville)

*Rachel and Emily's work resulted in this paper, and they presented their work at
the Young Mathematicians Conference 2019, and
the MIT IEEE Undergrad Research Conference
**Trevor and Mil'Yonta's work resulted in this poster

*Sidhanth, Ruoyi, and Nia's work resulted in this poster, and
their work was presented at the 
Young Mathematicians Conference 2019 (Sidhanth and Ruoyi), Ohio State University
Michael Lacey and Wenjing Liao Julia Balukonis* (Providence College)  
Sabrina Fuller* (Virginia's Community Colleges)
Haley Rosso* (University of Houston)
Hrishikesh Bodas** (Carnegie Mellon U)
Annika Cleveland** (New Mexico Sate U)
Maato McKinney** (Spelman)

*Julia, Sabrina, and Haley's work resulted in this poster.

**Hrishikesh, Annika, and Maato's work resulted in this poster.
Mohammed Ghomi Joshua Tso (Tufts)  
Robin Thomas Pedro Sacramento de Oliveira (U Penn)  
 

Summer 2018 GT REUs
Mentor Student Topic
Wenjing Liao Andrew Suh (GaTech) Nonlinear Dimension Reduction Techniques
Chris Kwan* (GaTech) Laplacian Eigenmaps and Diffusion Maps

*Chris presented at the MathFest in Denver
Mohammad Ghomi Alex Avery (GaTech) Shadow Problem for Polyhedral Surfaces
Molei Tao Gabriell Hall (Spelman College) Numerical Optimal Control: an Interplay of Calculus of Variation, Modern Optimization, Numerical PDE, and Applications
Huy-Hoang Nguyen (Minerva Schools at KGI)
John Etnyre with Sudipta Kolay Andrew Sack (University of Florida) Braid Coloring of Knots
Brandon Cosgrove (UNC - Chapel Hill)
Caitlin Leverson Hunter Vallejos* (GaTech) Legendarian Knots
DeVon Ingram* (GaTech)

*Hunter and DeVon presented this poster
Dan Margalit with Justin Lanier Xian Li* (San Francisco) All Rabbit Subgroups of the Mapping Class Group
Abby Saladin** (Michigan State)
Santana Afton* (GaTech)

*Xian, Abby and Santana presented this poster
**Abby presented a poster at the Young Mathematicians Conference at Ohio State U
Dan Margalit with Rebecca Winarski Janet Huffman* (Indiana Wesleyan University) Twisted Rabbit Problems and the Curve Complex
Ruotong Zhai** (Agnes Scott College)
Sarah Davis (GaTech)

*Janet and Ruotong presented this poster
**Ruotong will present at the National Conference for Undergraduate Research at Kennesaw State U
Dan Margalit with Balazs Strenner Logan White* (University of Chicago) Transition Matrices for Topological Polynomials
Jacob Shulkin* (University of Michigan)
Agniva Roy* (GaTech)

*Logan, Jacob and Agniva presented this poster
Galyna Livshyts and Michael Lacey Johannes Hosle* (UCLA) On the Comparison of Measures of Convex Bodies via Projections and Sections

*Johannes work resulted in this paper
 

Spring 2018 GT REUs
Mentor Student Topic
Dan Margalit Yihan Zhou (GaTech) Algorithms for Mapping Class Groups
Sung Ha Kang Hyunsu Park (GaTech) Curvature Constraint Path Optimization
Wenjing Lia Chris Kwan  
 

Fall 2017 GT REUs
Mentor Student Topic
Dan Margalit, Balazs Strenner Shreyas Casturi (GaTech) Simplifying Curves on Surfaces
Jonathan Chen (GaTech)
Vignesh Raman (GaTech)
Kyle Xiao (GaTech)
 

Summer 2017 GT REUs
Mentor Student Topic
Doron Lubinsky Andrea Martinez* (GaTech) Orthogonal Polynomials
*The work resulted in this poster
Robin Thomas Rose McCarty* (GaTech) Colin de Verdiere Invariant of Graphs, and the Extremal Function for Bipartite Linklessly Embeddable graphs
*The work resulted in these two papers #1, #2, the research helped Rose secure admission
to the graduate program in the Combinatorics and Optimization Department at the University of Waterloo,
a top program in the field
Josephine Yu Catherine Chen (GaTech) Matroid Theory and Tropical Geometry**
Nhu Do (Mt Holyoke)
Devraj Duggal (GaTech)
James Anderson* Pseudo-Equivalence Classes of Line Arrangements
*James Anderson's work resulted in this poster
**The work of Chen, Do, and Duggal resulted in this poster
Mohammad Ghomi Nicholas Barvinok* (U Michigan) Unfoldings of Convex Polyhedra
*The work resulted in this paper
Sung Ha Kang Jun Xiang (GaTech) Video and Image Restoration with Atmospheric Turbulence Distortion
Sayem Hoque (GaTech)
Caitlin Leverson Hunter Vallejos* (GaTech) Augmentations of Legendrian Knots and Links
*The work resulted in this poster
Christian Houdre Ken Adams (GaTech) A Computational Study of the Longest Common Subsequences in Random Words
Dan Margalit Libby Taylor (GaTech) The Second Johnson Homomorphism
Matt Baker Regular and Oriented Matroids*
*Libby presented her work at Dalton State College in Fall 2017 
and the JMM in San Diego; her work also resulted in a paper (in preparation)
Jen Hom, Sudipta Kolay Shiyu Liang (Jilin University) Non-left-orderable Surgeries on 1-bridge Braids*
*Shiyu's work resulted in this paper
 

Summer 2017 GT REU: Mapping Class Groups 

Supervisor: Professor Dan Margalit
Mentors Student Topic
Becca Winarski Sarah Davis** (GaTech) Symmetric Mapping Class Groups and the Symplectic Group*
Laura Stordy (Agnes Scott)
Queena Zhou*** (GaTech)
*The work resulted in this poster which was presented at JMM 2018 Undergraduate Poster Session
**Sara Davis presented the work at Tech Topology Conference, Georgia Tech, Dec 2017
***Queena Zhou was awarded the Spring 2018 Travel President's Undergraduate Research Award
Justin Lanier Santana Afton (William & Mary) Big Mapping Class Groups*
Sam Freedman (Michigan)
Liping Yin (Ga State)
*The work resulted in this poster which was presented by Santana and Sam at MathFest 2017,
for which they received an Outstanding Presentation Award
Balazs Strenner Ian Katz (Gatech) Nielsen-Thurston Classification Algorithms*
Yandi Wu (Berkeley)
Yihan Zhou (GaTech)
*The work resulted in this poster which was presented by Yandi at MathFest 2017 and YMC 2017,
and received the Outstanding Presentation Award at MathFest 2017, and also resulted in this paper
 

Summer 2017 GT IMPACT REU 

Supervisor: Professor Michael Lacey
Mentors Student Topic
Robert Kesler, Scott Spencer Bryson Kagy (GT) One Bit Sensing: Phase Transitions for the RIP Property*
Amadou Buh (Perimeter College at Georgia State University)
Emily Smith (Agnes Scott College)
*The work resulted in this poster and the work was presented at the JMM in San Diego
Andre Souza, Michael Northington Alison Madson (GT) Chaos in Lorentz Attractor
Korynn Claiborne (Alabama State University)
Jade Rice (University of Miami)
Samuel Hood (Morehouse University)
 
Spring 2017 GT REUs
Professor Student Topic
Sung Ha Kang Sayem Hoque Anisotropic Diffusion and Counting
 
Fall 2016 GT REUs
Professor Student Topic
Sung Ha Kang Sayem Hoque Anisotropic Diffusion and Counting
 

Summer 2016 GT REU: Geometric Group Theory

Supervisor: Professor Dan Margalit
Mentors Student Topic
Justin Lanier and Shane Scott Sarah Butchko* (Indiana) Algebraic Geometry and Geometric Group Theory
Ryan Dickmann** (GaTech)
Charles Wang*** (GaTech) Gemetric Combinatorics
*Sarah went on to grad studies at GaTech
**Ryan went on to grad studies at Utah
***Charles Wang won the Robert A. Pierotti Memorial Scholarship and the 2017 Love Family Foundation Scholarship (highest undergraduate award at Georgia Tech), and published two papers paper#1/paper#2. Charles went on to grad studies at Berkeley
 

Summer 2016 GT IMPACT REU

Supervisor: Professor Christine Heitsch
Mentors Student Topic
Megan Bernstein  Ibrahim Apata (Morehouse College) RNA Folding
*The work resulted in this poster
Heather Smith Ida De Vierno (Georgia Tech) Meanders*
Isabella Nang (Georgia State University)
*The work resulted in this poster
Megan Bernstein  Chelsea Huston (Spelman College) RNA Secondary Structures*
*The work resulted in this poster
Torin Greenwood Jason Kolbush (Georgia Tech) RNA Secondary Structures*
Taylor Strickland (Agnes Scott College)
*The work resulted in this poster
 
Spring 2016 GT REUs
Mentors Student Topic
Mohammad Ghomi Biao Ma* (Jilin U., China)  
Tianhao Xian** (Jilin U., China)
*Biao went on to graduate school at Iowa
**Tianhao went on to graduate school at Cornell
Matt Baker Yang An* (Xi'an Jiotong University) Canonical Representatives for Divisor Classes on Tropical Curves and the Matrix-Tree Theorem
Yao Wang** (Xi'an Jiotong University) The Bernardi Process and Torsor Structures on Spanning Trees
*Yang's work resulted in this paper, and helped in securing entry to the graduate program at Columbia
**Yao's work resulted in this paper, and helped in securing entry to the graduate program at Princeton
Michael Damron Thomas Koelle* (GaTech) Random Walks and Electrical Networks
*The work resulted in the presentation of this paper and an appointment to be an Undergraduate Research Ambassador
Sung Ha Kang Nick Selby* (GaTech) A Dynamical Model for Color Trend and Fad Formation
Sayem Hoque (GaTech) Anisotropic Diffusion and Counting
Kumbit Hwang (GaTech) Graph Representation and Numerical Algorithm
*Nick Selby won the Best Oral Presentation Award, 11th Annual Undergraduate Research Symposium, CoS, Spring 2016
 
Fall 2015 GT REUs
Mentors Student Topic
Sung Ha Kang Kumbit Hwang* (Gatech) Graph Representation and Numerical Algorithm
Chris Kwan (GaTech) Data Clustering and K-means
Sayem Hoque (GaTech) Analysis of Applied Physiology Wheel Chair Data
*Kumbit Hwang won the Best Junior Undergraduate Award, SoM, Spring 2016
Igor Belegradek Zixin Jiang* Smoothness of Minkowsi Sum and Generic Rotations
*The work resulted in this paper, and Zixin went on to grad school at Berkeley
 
Summer 2015 GT REUs
Mentors Student Topic
Kirsten Wickelgren Brandon Boggess* Splitting Varieties for Cup Products with Z/3-Coefficients
*The work resulted in this publication
 

Summer 2015 GT IMPACT REU:

Applied and Computational Mathematics plus Computational Science and Engineering

​Supervisors: Professor Sung Ha Kang and Professor Haomin Zhou
Mentors Student Topic
Christina Frederick Rosahn Bhattari (Georgia State University) Numerical Analysis
Jamese Lewis (Spelman College)
Austin Little (Morehouse College)
Maryam Yashtinin Veronica Fulton* (Spelman College) Image Processing
Michael Mbaba (Morehouse College)
Rachel Shore (Agnes Scott College)
*Veronica F Fulton received the 1st Place Oral Presentation Award, April, 2016 Spelman College Research Day.
 
Spring 2015 GT REUs
Professor Student Topic
Sung Ha Kang Sayem Hoque (GaTech) Analysis of Applied Physiology Wheel Chair Data
Fall 2014 GT REUs
Professor Student Topic
Mohammad Ghomi Alena Kim (Alabama School of Fine Arts)  
Leonid Bunimovich Soek-Joo Chae (GaTech) Social Networks*
*The work resulted in this paper
 
Spring 2014 GT REUs
Professor Student Topic
Sung Ha Kang Chenxing Wang (Xi'an Jiotong University) Total Variation, Heat Equation and Edge Detection Using Mumford-Shah Functional
Lin Li (Xi'an Jiaotong University)
 
Summer 2013 GT REUs
Professor Student Topic
Yuri Bakhtin Andrew Travis Rogers Invariant Distributions for Systems with Random Switchings
Jeff Geronimo Andrew Pangia Toeplitz Matrices and Bivariate Orthogonal Polynomials
Mohammad Ghomi Arun Jambulapati (U. Tennessee) Foldability of Prismoids
*Arun went on to Stanford Graduate School in Mathematics
 
Spring 2013 GT REUs
Professor Student Topic
Sung Ha Kang Tyler Cox* (GaTech) Heart Flow Simulation Using RKHS
*Tyler Cox won the Undergraduate Award, SoM, Spring 2013
 
Summer 2012 GT REUs
Professor Student Topic
Yuri Bakhtin Gautam Goel* Burgers Equation with Random Forcing
*Gautam won the Goldwater Scholarship and went on to grad school at Cal Tech
Ernie Croot Nicholas Dunn Improving the Performance of Algorithms to Solve the Knapsack Problem
Wilfrid Gangbo Ross Granowski* Boundedness Properties of Michell Trusses
*Ross independently submitted this paper, and Ross went on to grad school at Princeton
Mohammad Ghomi Andrew McCullough Polyhedral Approximation of Surfaces and the Gauss-Bonnet Theorem
*Andrew was accepted to the GaTech Mathematics Graduate Program
Klara Grodzinsky Andrea Crews Determining the Most Beneficial Teaching Style: PLUS Leaders vs. TAs
Doron Lubinsky Nguyen Vy Universality Limits for Arcs of the Unit Circle
Dan Margalit Peter Woolfitt Entropy Versus Word Length
*Peter went on to grad school at UGA
Tom Morley Roger Mercanti A Study of Roll over - A Combinatorial Game
Doug Ulmer Sam Kim Elliptic Curves, Group Representations, and Lattices
Xingxing Yu Qiqin (Jill) Xie Kuratowski's Theorem
Sung Ha Kang Tyler Cox (GaTech) Cardiac MR Image Segmentation Using Reproducing Kernel Hilbert Spaces and Total Variation Minimization
Plamen Iliev Vladimir Grantcharov (GaTech)* Solvable Lie Algebras and Graphs
*Vladimir's work resulted in this paper and was presented on May 1, 2012,
and he has went on to a MS degree in CS at Georgia Tech
 
Fall 2011 GT REUs
Professor Student Topic
Sung Ha Kang Joshua Liu (GaTech) Partial Segmentation and Tracking
 
Summer 2011 GT REUs
Professor Student Topic
Silas Alben Brittany Smith Optimal Crawling of a Three-link Snake
Matt Baker Melanie Dunn Tropical Implicitization
Jean Bellissard Jon Paprocki Applications of Cuntz-Krieger Algebras to BPS State Counting
Ernie Croot Sean Murphy Hidden Markov Models and Speech Recognition
Jeff Geronimo Howard Tong One and Two Variable Orthogonal Polynomials
Christine Heitsch David Esposito Improved RNA Secondary Structure Prediction Using Stochastic Context Free Grammars 
Christine Heitsch Stephen Nanney Analyzing Optimality Criterion for RNA Secondary Structures Prediction
Plamen Iliev Andrew McCullough Spectral and Self-dual Properties of Krawtchouk Polynomials
Michael Lacey Ross Granowski Toward a Geometric Estimate of the Haar Coeffcients for the Periodically Shifted Halton-Hammersley Set in Four Dimensions
Anton Leykin/Josephine Yu Henry Duong Numerical computation of tropical curves
Doron Lubinsky Trevor Loranger Polynomials that are Biorthogonal to a Fixed Set of Exponentials
Tom Morley Kathleen Sickler Variations on Chomp
Prasad Tetali David Hollis Classical Questions in Computational Complexity Theory, with Focus on Circuit Complexity for Bipartite Matching and Other Problems
Doug Ulmer Mahadi Osman Purity of Gauss and Jacobi sums
 
Spring 2011 GT REUs
Professor Student Topic
Sung Ha Kang Jacob Yongtaik Mok (GaTech) Biological Particle Tracking Algorithms
 
Summer 2010 GT REUs
Professor Student Topic
Silas Alben Michiel Shortt Some Interesting Variants on the Thomson Problem
Matt Baker Melanie Dunn Plotting Tropical Curves
Igor Belegradek Melanie Stam* Families of Hyperplanes in the Real and Complex Hyperbolic Plane
*Melanie went on to grad school at Cornell
Jean Bellissard James (Greg) Douthit Computation of the Spectrum of the Fibonacci Hamiltonian Using Bloch Theory
Jean Bellissard Jonathan Paprocki Phason Modes in Quasicrystals
Leonid Bunimovich Mark Bolding Rewiring in Dynamical Networks
Ernie Croot David Hollis Deterministic Methods to Find Primes
David Lowry
Jeff Geronimo Philip Benge Parameters Associated with Bivariate Bernstein-Szego Measures
Plamen Iliev Michael Qin Admissible q-Difference Operators in Two Variables
Tom Morley John Cummings Computations in combinatorial games
Prasad Tetali Harrison Brown Graph Homomorphisms and a Graph Polynomial Conjecture
Xingxing Yu Michelle Delcourt Sum-set Bounds on Graphs
Sung Ha Kang Elisa Trejo (GaTech) Data Clustering and Mathematics
Kevin Lewis* (GaTech) Anisotropic Diffusion and Imaging
MRI and Ultrasound and Transforms
*Kevin Lewis won the PURA Award (President's Undergraduate Research), Spring 2011
 
Spring 2010 GT REUs
Professor Student Topic
Sung Ha Kang Trevor Siu (GaTech) Imaging System and Medical Imaging
 
Summer 2009 GT REUs
Professor Student Topic
Silas Alben Leo Chen Stability of an Elastic Sheet with Vortices
Reginald McGee Optimizing a Fin Ray for Strength
Yuri Bakhtin Dustin Burns  
Ernie Croot Nathaniel Chen Number of Problems About Whether Certain Sets Contain
Arithmetic Progressions
William Drobny Counting the Number of Lines that Intersect an n x n Lattice
in Exactly k Points
Christine Heitsch Joshua Anderson Discrete Mathematics Applied to mRNA Codon Variation and Folding Kinetics
Plamen Iliev Hau Chan Orthogonal Polynomials Satisfying Second-order Difference Equations
Doron Lubinsky John Reinhardt Second and Higher Order Differential Equations Associated with Orthogonal Polynomials
Henry Matzinger Vladimir Kolesov Analysing Responses to a Questionnare by Using Decision Trees
Tom Morley Ben Sirb Investigations in Game Theory
Prasad Tetali Aisha Arroyo G-Parking Functions of Special Graphs
Maria Westdickenberg
Sung Ha Kang 		 Jing Cui* (Agnes Scott College) Anisotropic Diffusion and the Perona-Malik Scheme
Chuya Guo* (Agnes Scott College) Numerical Methods for Isotropic and Non-isotropic Diffusion, Including Total Variation Denoising
Tarik Trent (Emory University) Shock Filter and Variational Models for Image Deblurring, Including the Case of Non-isotropic Blur Kernels
Janatta Washington (Spelman College) Principal Component Analysis, SVD and Image Analysis
Yingfei Yi Racheal Lunde Modeling, Simulation, and Analysis of Chemical Reactions with Applications to Cell-biology
*Not funded by NSF grants
 
Summer 2008 GT REUs
Silas Alben Daniel Yancey Effect of Fin Shape on the Dynamics of Flexible Rubber Fins in a Flow Tunnel
Josh Anderson Collective Motions of Magnetic Swimmers
Kevin Spears (math/bio) Modeling Synchronous and Metachronal Swimming of Krill
Matt Baker Stefan Froehlich Brill-Noether Theory for Graphs
Daniel Connelly Green's Functions for Mandelbrot-like Sets
Yuri Bakhtin Spencer Nettleton Directed Polymers in Random Environment
Igor Belegradek Cindy Phillips* Complex Hyperbolic Plane in Cylindrical Coordinates about the Real Hyperbolic Plane
*Cindy went on to grad school at U Arizona
Johan Belinfante William Drobney Zorn's Lemma
Luca Dieci Abhishek Pandey Exploration of the Deterministic and Stochastic Van Der Pol Equation
Christine Heistch Nicole Larsen Enumerating Pseudoknotted RNA Structures
Doron Lubinsky Nicholas McKibben Sanders Curious q-series on the Unit Circle
Tom Morley Patrick Brandt Markov Chains and Music
Prasad Tetali Robert Glenn On Sampling Spanning Trees with no Broken Circuits
Hao Min Zhou/Shui-Nee Chow Fei He Computations of Stochastic Different Equations for Oscillators
 
Summer 2007 GT REUs
Ernie Croot Aisha Aroyo Develop Basic Integer Factoring Algorithms
Jonathan Eisen Improve Upon More Basic Integer Factoring Methods
John McCuan Arthur J. Friend
Rob Ward		 Exotic Capillary Tubes (ordinary differential equations, physics and mean curvature)
Prasad Tetali Brian Benson G-parking Runctions and Acyclic Orientations of Graphs
 
Fall 2006 GT REUs
Mohammad Ghomi Arthur J. Friend* (GaTech)  
*Arthur went on to obtain his PhD from Stanford
 
Summer 2006 GT REUs
Matt Baker Dragos Ilas On the Abel-Jacobi Map from a Graph to its Jacobian
Ander Steele* Carmichael Numbers in Number Rings
*Ander independently published this paper based on his REU research, and
won GaTech Sigma Xi Undergraduate Research Award in 2006
Johan Belinfante Lee Martie GOEDEL
Shui-Nee Chow D. Andrew Brown Study of Control of a Nonlinear System Modeling a Terrorist Attack
John Etnyre Gokhan Civan* Invariants Derived from the Contact Homology Eifferential Graded Algebra
*Resulted in this publication
Mohammad Ghomi Robert Vincent DeMarco* The Four Vertex Theorem and the Extension of its Converse to the Sphere
Brian Nakamura** Alexandrov's Conjecture
*Robert went on to work for the NSA
**Brian went on to obtain his PhD from Rutgers
Lew Lefton Darshan Bryner The Homology of 17-Crossing Knots: A Computational Approach to Knot Theory
Doron Lubinsky Beth Hart Rodrigues formulae for biorthogonal polynomials
John McCuan Steven Britt
Laura Stilz		 A Mathematical Framework for Paper Folding
Tom Morley Garrett Thompson Searching for Periodicity in the Game of Officers
Emanuel Indrea Markov Chains and Traffic Analysis
Robin Thomas Masanori Koyama An Algebraic Approach to a Graph Choosability Problem
Yang Wang Brian Benson An Analysis of the Three Hat Problem
 
Summer 2005 GT REUs
Matt Baker Ander Steele Carmichael Numbers in Abelian Extension Fields
Matt Baker Matthew Tanzy Minimizing the Effective Resistance Energy on a Graph
Johan Belinfante Claudia Huang Automated Reasoning Assistant GOEDEL and Peano's Arithmetic
Ernie Croot Brian Williams Small roots of polynomials modulo squarefree numbers
Brian Swanagan Determining Lower Bounds for Differences of Powers of 2 and 3 Using Pade Approximations
Jeff Geronimo Nick Cotton Numerical Analysis of an Epsilon-Difference Equation
C. Houdré, L. Peng Alexander Block Credit Risk Modeling
Lew Lefton Darshan Bryner Parallel Computing in Various Mathematical Algorithms
Yingjie Liu Carina Saxton Simulation of Plankton Ecosystem Dynamics in Oceans
Doron Lubinsky Ioana Soran Orthogonal and Biorthogonal Polynomials
John McCuan Alan Diaz A Geometric Method for Measuring the Structure of Optical Fibers
Peter Mucha A. J. Friend A Local Community Detection Algorithm for Weighted Real-world Networks
Tom Trotter Bill March On-line Coloring of Interval Graphs
Yang Wang Charles Martin Basic Digit Sets: Investigations and Applications
 
Summer 2004 GT REU
Shui Nee Chow Caroline Seabrook 
Stephanie Chung		 Pattern Formation
Ernie Croot Bayazid Sarkar Fermat Numbers
John McCuan Jeffrey Elms Soap Films in Corners
Mason Porter
Leonid Bunimovich		 Julie Bjornstad 
Alexie Dachevski		 Mathematical Biology
Dana Randall Brittany Hughes Markov Chains
Robin Thomas Matt Perry Topics in Graph Theory
Hou Min Zhou Robert Pruvenok Image Processing
Mohammad Ghomi James Krysiak (Penn State)  
Zachary McCoy (Penn State)
 
Summer 2003 GT REUs
Shui-Nee Chow/Mason Porter Jeremy Corbett Numerical Work in Spatial Temporal Chaos
Michael Lacey Brandon Luders
Alex Charis		 Additive Number Theory
Peter Mucha Casey Warmbrand Political Network Theory
Thomas Callaghan Football Network Theory
Mason Porter Steven Lansel Computer Simulation of Billiard Systems
Robin Thomas Michael Abraham Topics in Graph Theory
 
Summer 2002 GT REUs
Peter Mucha Michael Abraham Small World Networks, on the Bewoulf Cluster
John McCuan Roberto Lopez
Jeffery Elms		 ACE Lab, Electrostatics
John Pelesko Ryan Hynd ACE Lab, Electromagnetics
Joe Landsberg Erika Norenberg Morse Theory
Joe Montgomery Degenerate Gauss Maps on Algebraic Varieties
Johan Belinfante David Eger Artificial Intelligence
Xingxing Yu Jeremy Barrett Algebraic and Topological Aspects of Graphs
Prasad Tetali David Skoog Random Codes
Margaret Symington Andy Wand* Contact Topology
*Andy is currently a professor at Glasgow
Anthony Yezzi Ganesh Sundaramoorthi Electrostatics Charge, Image Segmentation
Prasad Tetali Boris Kerzhner Random Codes
 
Summer 2001 GT REUs
Evans Harrell Clark Alexander Convex Geometry
Chris Heil Nick Bronn Time Frequency Analysis
Michael Lacey Nick Bronn Sets avoiding Arithmetic Progression
Prasad Tetali Blair Dowling Elliptic Curves, Cryptography
Brendan Nagle Erika Norenberg Hypergraphs
Johan Belinfante Tack Soo Im Automated Reasoning