The University of Chicago Mathematics REU 2024

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

An essay about Chicago's REU and DRP programs (from 2014) (pdf)

2024 REU: Announcement and description of the program (pdf)

2024 REU: Application for University of Chicago students (pdf)

Completed U of C applications should be returned to E314 (slip under the door if nobody is there)

2024 REU: Application for non-University of Chicago students (pdf)

To apply, go to MathPrograms: https://www.mathprograms.org/db/login/ja

Links to past REUs

• Link to the 2023 REU (Go)
• Link to the 2022 REU (Go)
• Link to the 2021 REU (Go)
• Link to the 2020 REU (Go)
• Link to the 2019 REU (Go)
• Link to the 2018 REU (Go)
• Link to the 2017 REU (Go)
• Link to the 2016 REU (Go)
• Link to the 2015 REU (Go)
• Link to the 2014 REU (Go)

LINKS TO COME

SCHEDULES, ABSTRACTS, and MENTORSHIP PAIRINGS

• FIRST and SECOND WEEK SCHEDULES, June 10-June 14 and June 17 June 21 (pdf)
• FIRST and SECOND WEEK Abstracts (pdf)
• THIRD and FOURTH WEEK SCHEDULES, June 24-June 28 and July 1-July 5 (pdf)
• THIRD and FOURTH WEEK ABSTRACTS (pdf)
• FIFTH and SIXTH WEEK SCHEDULES, July 8-July 12 and July 15-July 19 (pdf)
• FIFTH and SIXTH WEEK ABSTRACTS (pdf)
• SEVENTH and EIGHTH WEEK SCHEDULES, July 22-July 26 and July 29-August 2 (pdf)
• SEVENTH and EIGHTH WEEK ABSTRACTS (pdf)
• 8 week tentative schedule of talks and events (except for the apprentice program) (pdf)
• REU: Table of mentorship pairings (pdf)

Notes and readings for talks

• Finite Spaces Book Rough Draft (Parts in red may not be ready for reading) (pdf)
• Definitions: Operads, algebras, and modules (pdf)
• Operads, algebras, and modules (pdf)
• Operads, moperads, and bioperads (pdf)
• Glimpses of equivariant algebraic topology (pdf)
• Notes on condensed mathematics (pdf)

2024 REU: PARTICIPANT PAPERS -- FULL PROGRAM

Dead links are to papers under revision

• Aliakseyeu, Raman. Gromov's Betti number bound. (pdf)
• Amzallag, Romain. The Weil conjectures for elliptic curves. (pdf)
• Armstrong, Benjamin. Traveler's guide to spectral deferred correction. (pdf)
• Chen, Dadu and Gu, Zhuohan. An introduction to Loewner energy. (pdf)
• Chen, Kaiyi. Hodge theory and algebraic geometry. (pdf)
• Chen, Yuyuan. Handle decomposition and Wall's theorem on h-cobordisms. (pdf)
• Contractor, Maryam and Reed, Otto. Minimal dilatation Thurston pseudo-Anosov mapping classes. (pdf)
• DeRosa, A. J. Studies in strong contextuality. (pdf)
• Descollonges, Pascal. Moore-type bounds in hypergraphs. (pdf)
• Dupor, Tom. Brownian motion, Hausdorff dimension, and dimension doubling. (pdf)
• Flowers, Will. TBD (pdf)
• Fox, Avery. Random fractals from the sample paths of Brownian motion. (pdf)
• Ganguly, Akash. Mapping class groups through a kaleidoscope. (pdf)
• Garicano, Marten. Farey graphs, frieze patterns, and $SL_2$-tilings. (pdf)
• Goldman, Shanna. Classic examples in dynamical systems. (pdf)
• Grannis, Dillon. An introduction to the ring of fractions. (pdf)
• Gu, Zhuohan (See Chen, Dadu). An introduction to Loewner energy. (pdf)
• He, Yike. Ricci flow with surgery. (pdf)
• Ho, Aaron. Russo-Seymour-Welsh theory for percolation models. (pdf)
• Houston, William. A proof of Stiefel's parallelizability theorem. (pdf)
• Hovanec, Julian. Algorithmic methods for Kakeya and Furstenberg sets in the plane. (pdf)
• Jarboe, Grayson. Introduction to fractal dimensions using algorithmic information. (pdf)
• Jafar Nia, Nika. Algebraic operads and Kosxul duality. (pdf)
• Kaibni, Michael Andre. The Euler characteristic and smooth vector fields. (pdf)
• Kaufmann, Julian. $A_1$ calculation. (pdf)
• Khansa, Inanna. Hyperbolic dynamical systems and structural stability. (pdf)
• Komorech, Vaughn. The four color theorem. (pdf)
• Lafevers, C. Dow. An elementary treatment of Chern classes. (pdf)
• Leacock, Colleen. The modular group and building Riemann surfaces. (pdf)
• Lee, Michael. The De Giorgi method with applications to fluid dynamics. (pdf)
• Lu, Zichen. Linear inviscid damping for two-dimensional homogeneous Euler equation. (pdf)
• .Lys, Andrew. Converse of the Lebesgue number lemma. (pdf)
• Matta, Kisna. Free boundary regularity for the classical obstacle problem. (pdf)
• Mehmedagic, Mirza. Geometric measure theory with methods from algorithmic complexity. (pdf)
• Narayanan, Akash. Teichm\"uller space and the Nielsen realization problem. (pdf)
• Nottley, George. Construction and basic properties of the continuum random tree. (pdf)
• Oberoi, Arina. Riemann surfaces in machine learning. (pdf)
• O'Farrell, Ryan. Renormalization and universality in dynamics. (pdf)
• Pan, Kailin. Ring operads and symmetric bimonoidal categories. (pdf)
• Peng, Yebo. Notes on prismatic cohomology. (pdf)
• Pham, Hung. Some results in tensor rank decomposition. (pdf)
• Ragone, Frank. TBD. (pdf)
• Rastogi, Yash. Intertwining classical and quantum dynamics on hyperbolic sufaces: a microlocal perspective. (pdf)
• Reed, Otto. (See Contractor, Maryam). Minimal dilatation Thurston pseudo-Anosov mapping classes. (pdf)
• Seignourel, Simon. A survey of techniques in elliptic regularity theory. (pdf)
• Singh, Aditya. The Galton-Watson branching process. (pdf)
• Song, Valen. Comparison of two algorithms for shortest path problem. (pdf)
• Steinberg, Ezra. To $\bC^{\infty}$ and beyond! Solving Hilbert's 19th problem. (pdf)
• Strupp, Adam. Complex linear representations. (pdf)
• Stump, Jacob. An introduction to quasifuchsian manifolds in hyperbolic space. (pdf)
• Sun, Junfei. A Hamiltonian perspective on Sherman's area-convexity algorithm based on symplectic conjugate and its relationship to dual extrapolation. (pdf)
• Tran, Dinh-Quan. Viscosity solutions in optimal control theory and zero-sum differential games. (pdf)
• Williams, Diego. Solving fixed point problems with differential forms. (pdf)
• Wu, Zongjin (Tracy). N-radial function of loop-erased random walk. (pdf)
• Yagupsky, Joshua. Forcing: an introduction to independence proofs in set theory. (pdf)
• Yin, Eric. Elliptic curves and the Hilbert class field. (pdf)
• Zhang, Cloudifold. TBD (pdf)
• Zhang, David. The function-sheaf correspondence and $\ell$-adic Fourier transform. (pdf)
• Zhou, Peter. The Langlands program and residual modularity. (pdf)

2024 REU: PARTICIPANT PAPERS -- APPRENTICE PROGRAM

Dead links are to papers under revision

• Ananthakrishnan, Sriram. Galois theory and the fundamental theorem of algebra. (pdf)
• Bastiani-Fonck, Claudio. Hall's theorems on solvable groups. (pdf)
• Bengi, Mehmet Kaan. An introduction to commutative rings. (pdf)
• Cahilly, Glen. Counterfactual regret minimization: intuition, theory, and application (pdf)
• Chen, Aden. Spectral theory and the min-max theorem. (pdf)
• Comess, William. A comprehensive exploration of the central limit theorem. (pdf)
• Courbe, Leo. Topology, geometry, and dynamical system of torus. (pdf)
• Das, Joaquim. An introduction to the probabilistic method. (pdf)
• Eifert, Liam. An introduction to rings with algebraic curves. (pdf)
• Esteva, Agustin. Measure theory, stochastic calculus, and the Black-Scholes-Merton model. (pdf)
• Etterer, Aidan. Non-equilibrium impacts on evolvability. (pdf)
• Frankel, Leo. Primer on modular forms. (pdf)
• Gillbrand, James. Exposition on the connections between descent methods and Hamiltonian mechanics. (pdf)
• Gupta, Avni. Totally symmetric sets. (pdf)
• Hah, Andrew. Lattice-based cryptography. (pdf)
• Hao, Wanqing (Anita). The Hausdorff dimension: construction and methods of calculation. (pdf)
• Jiang, Asher. A random walk into the Black Scholes model. (pdf)
• Johnson, Joshua. Basics of representation theory. (pdf)
• Kaimal, Gayathri. The arithmetic hierarchy and some examples from real analysis. (pdf)
• Kommanapalli, Darshan and Wang, Andrew. Finite Markov chains. (pdf)
• Larson, Annika. Every braid group is linear. (pdf)
• Li, Jasmine. Lattice basis reduction and applications in cryptanalysis. (pdf)
• Luo, Anthony. Residual lives of renewal processes. (pdf)
• Lys, Matthew. Variance bound for stationary exponential last passage percolation. (pdf)
• Mustata, Maya. Topological tools for distinguishing knot types. (pdf)
• Nguyen-Dang, Minh-Anh. Rational points of finite order on elliptic curves. (pdf)
• Oukacha, Leila. Arbitrage and market dynamics: a probability-based approach. (pdf)
• Piao, Lina. On the link between Markov chain mixing time and gradient descent convergence bound. (pdf)
• Ren, Andrew. Introduction to the Nullstellensatz and its capability. (pdf)
• Rivas Varela, Ramon. The closed subgroup theorem. (pdf)
• Rychlik, Julia. Lebesgue measure. (pdf)
• Saunders, Desmond. Two proofs of the prime number theorem. (pdf)
• Shastry, Siddharth. On the universal approximation theorems. (pdf)
• Sheehan, Morgan. Martingales and their applications. (pdf)
• Sriram, Shreyas. Stein's method in diverse settings. (pdf)
• Vargas-Hurlston, Isabel Zdena. Introduction to Bezout's theorem. (pdf)
• Wang, Alice. The toric code. (pdf)
• Wang, Andrew. (See Kommanapalli.) Finite Markov chains. (pdf)
• Wen, Hanlei. Burnside's theorem. (pdf)
• Yang, Paris. Pants decomposition and Teichm\"uller space. (pdf)
• Zhou, Alexandra Zhitong. Convexity and duality in optimal control: Kuhn-Tucker coefficients, the minimax theorem and Fenchel duality. (pdf)
• Zou, Yi. Spectral graph theory and matrix tree theorem. (pdf)

Tex Help

• Template for texing REU papers: \underline{YOU MUST USE THIS TEX FILE} (tex) (pdf)
• An excellent latex web page (with an REU template with more examples) (web page)
• LaTeX -- A document preparation system (web page)
(web page)
• LaTeX -- A document preparation system (web page)

Guides to writing papers (Steve Kleiman and Dan Kleitman, MIT)

• Writing a math paper (two formats): READ THIS CAREFULLY (pdf) (pdf)
• Another useful guide: READ THIS TOO (pdf)