History of REU and SPUR (Summer Program for Undergraduate Research) Programs
The Department has offered a summer research program for undergraduates for many years. Prior to 2015 the REU Program (Research Experiences for Undergraduates) funded by the NSF (National Science Foundation) was offered. From 2015  2017 after the grant temporarily expired, the program transitioned to a nonfunded program named SPUR (Summer Program for Undergraduate Research), which offers the same opportunity to undergraduate students, but the only difference in the two programs is funding. Beginning in 2018 the REU Program returned, and the department has continued both programs. These are 8week programs that provide an opportunity for undergraduate students of mathematics to participate in leadingedge research. Projects are offered every summer, each led by an expert in the field.
Previous Years' Projects and some Results
2022  REU and SPUR

Periodic nonintersecting random walks and random matrices  REU

Nonintegrable Constraints in Mechanics  REU

Optimality & Uncertainty  REU

Symplectic embeddings of 4D toric domains  SPUR
This detailed information link includes links to end of project summaries.
2021  REU and SPUR

Loop groups and Verlinde algebra  SPUR

Theoretical aspects of deep learning  REU
Summer 2021 REUSPUR Programs.pdf
2020  REU and SPUR

Mechanics and Manipulation of Active Structures, directed by Andy Borum  SPUR

Analysis and Implementation of Spectral Methods, directed by Alex Townsend  REU
2019  REU and SPUR

Analysis on Fractals, directed by Robert Strichartz  SPUR

Computations in Derived Algebraic Geometry and Equivariant Cohomology, directed by Harrison Chen  SPUR

Mechanics, Control, Robotics, and Dynamics, directed by Andy Borum  REU
2018  REU and SPUR

Analysis on Fractals, directed by Robert Strichartz  SPUR

Topological Methods in Discrete Geometry, directed by Florian Frick  SPUR

Generating Sets of Finite Groups, directed by Keith Dennis  SPUR

Optimality and Uncertainty, directed by Alex Vladimirsky  REU
2017  SPUR

Analysis on Fractals, directed by Robert Strichartz

Topological Methods in Discrete Geometry, directed by Florian Frick

Generating Sets of Finite Groups, directed by Keith Dennis
2016  SPUR

Analysis on Fractals, directed by Robert Strichartz

Topological Methods in Discrete Geometry, directed by Florian Frick

On Reay's relaxed Tverberg conjecture and generalizations of Conway's thrackle conjecture

Nonlinear Heat Equations, directed by Xiaodong Cao
2015  SPUR

Analysis on Fractals, directed by Robert Strichartz

Harmonic Analysis on Stiefel Manifolds, directed by Raul Gomez

Graphs, ChipFiring Games, and Algebraic Geometry, directed by Farbod Shokrieh
2014

Analysis on Fractals, directed by Robert Strichartz

Surfaces with Fractal Curvature

Nonlinear Heat Equations, directed by Xiaodong Cao

Graphs, ChipFiring Games, and Algebraic Geometry, directed by Farbod Shokrieh
2013

Analysis on Fractals, directed by Robert Strichartz


Generating Sets for Finite Groups, directed by Keith Dennis

High Dimensional Data Analysis, directed by Matthew Hirn
2012

Analysis on Fractals, directed by Robert Strichartz

Packings and Tilings, directed by Robert Connelly

The Heat Equation, directed by Xiaodong Cao
2011

Analysis on Fractals, directed by Robert Strichartz

Generating Sets for Finite Groups, directed by Keith Dennis

Combinatorics of Triangulations, directed by Ed Swartz
2010

Analysis on Fractals, directed by Robert Strichartz

Geometric Differential Equations, directed by Xiaodong Cao

Optimality and Uncertainty, directed by Alexander Vladimirsky
2009

Analysis on Fractals (Robert Strichartz)

Solving Games on Graphs, Fast (Sasha Rubin)

Groups via Actions (Collin Bleak)
2008

Analysis on Fractals (Robert Strichartz)


Games, Linear Orders, and Logic (Francois Dorais)

Topological Dynamics, Group Actions, and Cantor Set nCubes (Collin Bleak)
2007
2006
Older Work

Conformal Energy, Conformal Laplacian, and Energy Measures on the Sierpinski Gasket

Geometry of Numbers Work 2001

Karl Papadantonakis Henon Mapping Work (and some other)

Finite Elements on the Sierpinski Gasket

Differential Equations on the Sierpinski Gasket

Harmonic Mappings of the Sierpinski Gasket

Sampling Theory for Functions with Fractal Spectrum

Sampling on the Sierpinski Gasket

Fourier Series on the Sierpinski Gasket

PEnergy on the Sierpinski Gasket (2001)

PEnergy on Sierpinski Gaskets (2002)

Pentagasket Research (Alex Smith)

Polynomials and Power Series on Sierpinski Gaskets

Levy's Dragon

FEM on Sierpinski Gaskets

Periodic Solutions to Forced Van der Pol

Forced VdP, Bifurcation Diagram, Canards

FVDP Summaries and Auto Work

Surfaces Related to Henon Maps and the Program Cubism

Work from 1998