The University of Chicago Mathematics REU 2017

Interested in the REU but not at the University of Chicago? (Go)

An essay about Chicago's REU and DRP programs (Go)

2017 REU: Announcement and description of the program (pdf)

Course offerings, Schedules, Mentorship pairings

Program from Charles Smart

Course notes for algebraic topology

Problem sets for algebraic topology


Dead links are to papers under revision

  • Esme Bajo. Amalgamated free products, HNN extensions, and decision problems. (pdf)
  • Diego Andres Bejarano Rayo. Saturation by ultrapowers and Keisler's order. (pdf)
  • Amanda Grace Burcroff. Johnson schemes and certain matrices with integral eigenvalues. (pdf)
  • Eric Y. Chen. Crystal combinatorics and geometric Satake. (pdf)
  • Aaron Tsz Kiu Chow. Local existence theory of the vacuum Einstein equations. (pdf)
  • Maeve Coates Welsh. Elliptic curve cryptography. (pdf)
  • Teodoro Fields Collin. The finite element method and curved boundaries. (pdf)
  • Baptiste J. Dejean. Tate's thesis (pdf)
  • Aygul A. Galimova. Glimpses of Bott periodicity. (pdf)
  • William M. Golding. The qualitative local behavior of ordinary differential equations. (pdf)
  • Robert Green. An introduction to homotopy type theory. (pdf)
  • Anh Hoang Trong Nam. Geometry of the Kerr black holes. (pdf)
  • Charles Hudgins. Understanding Noether's theorem with symplectic geometry. (pdf)
  • Viraaj Jayaram. Proving the non-existence of elementary anti-derivatives for certain elementary functions. (pdf)
  • Alexander Johnson. Counting and realizing types: a survey of stability and saturation. (pdf)
  • Alexander S. Kastner. How many countable models can a complete theory have? (pdf)
  • Shin Kim. Basic Morse theory. (pdf)
  • Cameron Alexis Krulewski. K-theory, Bott periodicity, and elliptic operators. (pdf)
  • Arnab Kundu. The \'etale fundamental group of an elliptic curve. (pdf)
  • Noah del Rio Levine. Public key cryptography and elliptic curves (pdf)
  • Siyang Ling. Maxwell equations and Yang-Mills theory. (pdf)
  • Tian Ma. Contemporary cryptosystems. (pdf)
  • Kaitlyn Loyd. Box product of $C_p$ Mackey functors. (pdf)
  • Jacob Manaker. The thermodynamic formalism in dynamical systems. (pdf)
  • Alberto Sam Miguel Malaney. Characteristic classes and cobordism. (pdf)
  • Adel A. Rahman. Chern-Weil theory. (pdf)
  • Charlotte Rieder. Finitely generating the mapping class group with Dehn twists. (pdf)
  • Matthew Scalamandre. Harmonic analysis on LCA groups. (pdf)
  • Jin Woo Sung. Recurrence and convergence in countable state Markov chains. (pdf)
  • Josh Turner. Ultraproducts in algebra. (pdf)
  • Zhengqu Wan. The Boltzmann distribution. (pdf)
  • Yi Wang. Discrete operators in analysis. (pdf)
  • Zijian Wang. Elementary proof of Dirichlet theorem. (pdf)
  • Catherine Wolfram. Persistent homology on phonological data: a preliminary study. (pdf)
  • Molly Wolfson. Weyl curvature as a cross-ratio of points on the celestial sphere. (pdf)
  • Chen Xu. Combinatorics and its connection with representation theory. (pdf)
  • Younggeun Yoo. Stochastic calculus and Black-Scholes model. (pdf)
  • David Yunis. The Birkhoff ergodic theorem with applications. (pdf)
  • Shangxi Zhang. Brownian motion and It\^o's calculus. (pdf)
  • Yujie (Annika) Zhang. Persistent homology and sparse Vietoris-Rips filtration. (pdf)
  • Lingxian (Rose) Zhang. The $L^p$ convergence of Fourier series. (pdf)


    Dead links are to papers under revision

  • Benjamin Beach. Fuchsian groups and fundamental regions. (pdf)
  • Tejasi Bhatnagar. Covering spaces. (pdf)
  • Casey Breen-Edelstein. The classification of surfaces. (pdf)
  • Jacob Carbone. Introduction to dynamics on the interval. (pdf)
  • Abhimanyu Choudhary. An elementary proof of the prime number theorem. (pdf)
  • John Churay. Classification of surfaces and characterization of graph imbeddings. (pdf)
  • Dylan Cordaro. Markov chaind and coupling from the past. (pdf)
  • Joshua Cruz. The fundamental theorem of space curves. (pdf)
  • Gabriel Day. The Cayley-Hamilton and Jordan normal form theorems. (pdf)
  • Rose Dong. On the relationship between sets and groups. (pdf)
  • Jackson Dougherty. Some applications of the Borsuk-Ulam Theorem. (pdf)
  • Ari Freedman. Convergence theorem for finite Markov chains. (pdf)
  • Ruth Goldstein-Rose. Introduction to knots and braids using Seifert circles. (pdf)
  • Leonardo Ferreira Guilhoto. Applying Markov chains to Monte Carlo integration. (pdf)
  • Alexander Reed Hummels. Topological equivalence of linear ODEs. (pdf)
  • Varun Iyer. The Google spectrum. (pdf)
  • Eric Karsten. Brouwer's fixed point theorem and the Nash theorem. (pdf)
  • Jasmine Katz. Brouwer's fixed point theorem. (pdf)
  • Natalie Leonard. A local-global principle for sums of two squares. (pdf)
  • Benjamin Levine. Finitely generated modules over a principal ideal domain. (pdf)
  • Declan McNamara. Kolmogorov's zero-one law with applications. (pdf)
  • Trevor Moore. Combinatorial proofs of some theorems in algebraic topology. (pdf)
  • Anubhav Nanavaty. A brief introduction to differential forms in $R^n$ and the Gauss-Bonnet theorem in $R^3$. (pdf)
  • Benjamin Oye. Stable graphs. (pdf)
  • Pooja Patel. Quadratic reciprocity. (pdf)
  • Liam Puknys. The Stone-Weierstrass theorem. (pdf)
  • Saikeerthi Rachavelpula. The category of mereotopology and its ontological consequences. (pdf)
  • Parth Sarin. The cup length in cohomology as a bound on topological complexity (pdf)
  • Meryl Seah. Markov chains and hidden Markov chains. (pdf)
  • Calder Sheagren. Uncertainty principles with Fourier analysis. (pdf)
  • Karolina Grace Simcic. The necklace-splitting problem. (pdf)
  • Ryan Spieler. Group actions. (pdf)
  • Mary Stelow. Hamiltonicity in Cayley graphs and digraphs of finite Abelian groups. (pdf)
  • Mihai Stefan Tesliuc. Random graphs and their applications. (pdf)
  • John Thomas. A brief overview of nonlinear ordinary differential equations. (pdf)
  • Mira Wattal. Motivating smooth manifolds. (pdf)
  • Yifan Xu. Kuratowski's theorem. (pdf)
  • Sophia Xue. Convergence of Fourier series. (pdf)
  • Alicia Xiao. Hilbert spaces in quantum mechanics and the Heisenberg uncertainty principle. (pdf)
  • Allen Yuan. Fixed point theorems and applications to game theory. (pdf)
  • Alec X. Zhang. Polya's enumeration. (pdf)
  • Thomas Zheng. Differential equations: existence and uniqueness of solutions in economic models. (pdf)
  • Guanyu Zhouo. Ultrafilter and Hindman's theorem. (pdf)
  • James Zhou. An introduction to NP-complete problems. (pdf)

    2017 REU: Application for University of Chicago students (pdf)

    Completed U of C applications should be returned to E314.

    2017 REU: Application for non-University of Chicago students (pdf)

    This is a template for your Research Statement to be uploaded to your application.

    To apply, go to MathPrograms:

    Acceptance forms

    Miscellaneous program links

  • Link to Laci Babai's REU web page: (Go)
  • Link to Angela Wu's 2016 Apprentice Program web page: (Go)
  • Topology: a book in progress: selected readings to be recommended (pdf)
  • Links to past REUs

    Tex Help

  • Template for texing REU papers: USE THIS TEX FILE (tex)
  • 2017 REU: Mentorship pairings (pdf) (pdf)
  • An excellent latex web page (with an REU template with more examples) (web page)
  • LaTeX -- A document preparation system (web page)
  • Guides to writing papers (Steve Kleiman and Dan Kleitman, MIT)