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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 2021 the School of Mathematics expects to run the following projects (listed by mentor and tentative topic):
- Jianbo Cui, Luca Dieci and Haomin Zhou Numerical simulations in optimal transport
- Jorge Gonzales Dynamical Systems with computer assistance
- Siddhi Krishna & Marissa Loving Braids, surfaces, and low-dimensional phenomena
- Rachel Kuske Dynamical modeling for sustainable energy
- Wenjing Liao High-dimensional data analysis and neural networks
- Doron Lubinsky Inequalities for polynomials
- Cheng Mao Comparison of Ranking Systems
- Dan Margalit Curves on Surfaces
- Lutz Warnke Probabilistic combinatorics and random discrete structures
- and more!
To complement the research projects, the School of Mathematics will also 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.
There will a poster session at the end of the program.
A typical research project lasts 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.
Apply at MathPrograms.org
The deadline for applications will be February 15th, 2021. Decisions will be announced by March 30th, 2021. 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. In particular, for research in algebra and topology you may contact Dan Margalit (the prerequisites are familiarity with proofs and some exposure to algebra and/or topology).
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Research Experiences for Undergraduates at Georgia Tech |
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Summer 2020 GT REUs |
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| Mentor | Student | Topic |
| Jonathan Beardsley and Roberta Shapiro | Brendan Murphy* (U Washington) | Hopf Algebras and Monoidal Categories |
| Suhyeon Lee* (UC Berkeley) | ||
| Luke Trujillo* (Harvey Mudd College) | ||
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*Brendan, Suhyeon, and Luke's work resulted in this poster |
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| 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. |
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*Charles' work resulted in this presentation |
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| 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) | ||
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*Sam and Kailee's work resulted in this presentation |
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| 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) | ||
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*Madison, Sarah, Erin, and Ben's work resulted in this poster, and this paper |
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| 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) | ||
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*Ana, Cooper, Samuel, Michael, Ari, and Gidon's work resulted in this poster, and |
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| Cheng Mao | Zachary Sekaran* (UPenn) | Statistical Ranking |
| Haoran Zhang* (GaTech) | ||
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*Zachary and Haoran's work resulted in this presentation |
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| 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 paper | ||
| Lutz Warnke | Suchakree "Petch" Chueluecha* (Lehigh U) | Random Graphs/Networks |
| Tolson Bell** (GaTech) | ||
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*Suchakree and Tolson's work resulted in a 20-min talk at the Young Mathematicians Conference (YMC) on August 14th, and |
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Summer 2019 GT REUs |
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| Mentor | Student | Topic |
| Prasad Tetali | Daniel Hathcock* (GaTech) | |
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*Daniel's work resulted in a paper Acyclic Orientations of Complete Multipartite Graphs, coauthored by Arvind Ayyer and Prasad Tetali |
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| Doron Lubinsky | Gidon Kowalsky* (GaTech) | |
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*Gidon's work resulted in this paper |
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| Yoav Len | Steven Creech* (GaTech) | |
| Caelan Ritter* (Brown) | ||
| Derek Wu* (GaTech) | ||
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*Steven, Caelan, and Derek's work resulted in this paper that appeared here |
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| Dan Margalit with Wade Bloomquist (GaTech) | Jessica Appel* (Kentucky) | Congruence Subgroups |
| Katie Gravel* (MIT) | ||
| Annie Holden* (Colby) | ||
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*Jessica, Katie, and Annie's work resulted in this poster and this paper Young Mathematicians Conference 2019 (Jessica and Katie), Ohio State University, and Outstanding Poster, Joint Mathematical Meetings, Denver, Feb 2020 |
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| Dan Margalit with Kevin Kordek (GaTech) | Alice Chudnovsky* (illinois) | Totally Symmetric Sets |
| Lily Li* (Berkeley) | ||
| Caleb Partin* (GaTech) | ||
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*Alice, Lily, and Caleb's work resulted in this paper, and Honorable Mention, Joint Mathematical Meetings Poster Session, Denver, Feb 2020 |
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| Dan Margalit with Hyunshik Shin (UGA) | Sidhanth Raman* (GaTech) | Stretch Factors |
| Nia Walton* (Spelman) | ||
| Ruoyi Wang* (Agnes Scott) | ||
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*Sidhanth, Ruoyi, and Nia's work resulted in this poster, and |
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| 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) | ||
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*Rachel and Emily's work resulted in this paper, and they presented their work at |
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*Sidhanth, Ruoyi, and Nia's work resulted in this poster, and |
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| 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) | ||
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*Julia, Sabrina, and Haley's work resulted in this poster. |
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**Hrishikesh, Annika, and Maato's work resulted in this poster. |
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| Mohammed Ghomi | Joshua Tso (Tufts) | |
| Robin Thomas | Pedro Sacramento de Oliveira (U Penn) | |
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Summer 2018 GT REUs |
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| Mentor | Student | Topic |
| Wenjing Liao | Andrew Suh (GaTech) | Nonlinear Dimension Reduction Techniques |
| Chris Kwan* (GaTech) | Laplacian Eigenmaps and Diffusion Maps | |
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*Chris presented at the MathFest in Denver |
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| 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) | ||
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*Hunter and DeVon presented this poster |
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| Dan Margalit with Justin Lanier | Xian Li* (San Francisco) | All Rabbit Subgroups of the Mapping Class Group |
| Abby Saladin** (Michigan State) | ||
| Santana Afton* (GaTech) | ||
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*Xian, Abby and Santana presented this poster |
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| 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) | ||
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*Janet and Ruotong presented this poster |
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| Dan Margalit with Balazs Strenner | Logan White* (University of Chicago) | Transition Matrices for Topological Polynomials |
| Jacob Shulkin* (University of Michigan) | ||
| Agniva Roy* (GaTech) | ||
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*Logan, Jacob and Agniva presented this poster |
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| Galyna Livshyts and Michael Lacey | Johannes Hosle* (UCLA) | On the Comparison of Measures of Convex Bodies via Projections and Sections |
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*Johannes work resulted in this paper |
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Spring 2018 GT REUs |
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| 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 | |
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Fall 2017 GT REUs |
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| Mentor | Student | Topic |
| Dan Margalit, Balazs Strenner | Shreyas Casturi (GaTech) | Simplifying Curves on Surfaces |
| Jonathan Chen (GaTech) | ||
| Vignesh Raman (GaTech) | ||
| Kyle Xiao (GaTech) | ||
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Summer 2017 GT REUs |
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| 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 |
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| 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 |
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| 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) |
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| Jen Hom, Sudipta Kolay | Shiyu Liang (Jilin University) | Non-left-orderable Surgeries on 1-bridge Braids* |
| *Shiyu's work resulted in this paper | ||
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Summer 2017 GT REU: Mapping Class Groups Supervisor: Professor Dan Margalit |
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| 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 |
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| 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 |
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| 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 |
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Summer 2017 GT IMPACT REU Supervisor: Professor Michael Lacey |
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| 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 |
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Summer 2016 GT REU: Geometric Group Theory Supervisor: Professor Dan Margalit |
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| 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 |
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Summer 2016 GT IMPACT REU Supervisor: Professor Christine Heitsch |
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| 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 |
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| 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 |
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| 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 | ||
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Summer 2015 GT IMPACT REU: Applied and Computational Mathematics plus Computational Science and Engineering ​Supervisors: Professor Sung Ha Kang and Professor Haomin Zhou |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
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| 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 |
