May, J. Peter - Department of Mathematics, University of Chicago

• A collection of informal reports and seminars Edited by A. Dold, Heidelberg and B. Eckmann,Zurich
• THE UNIVERSITY OF CHICAGO 2007 Summer VIGRE Program for Undergraduates
• 1 Algebra 2 2 Algebra 3
• FINITE GROUPS AND FINITE SPACES NOTES FOR REU BY J.P. MAY
• REU 2009: SCHEDULE FOR WEEKS FIVE AND SIX Afternoon talks are in E206 or Kent 101
• NEWTON'S METHOD SARAH RASKIN
• REU 2011: SCHEDULE FOR WEEKS THREE AND FOUR Apprentice talks are in R251. Afternoon talks are in E206.
• Parametrized Homotopy Theory J. Sigurdsson
• GROUP THEORY AND THE RUBIK'S CUBE HANNAH PROVENZA
• CUTTING SEQUENCES IN EUCLIDEAN AND HYPERBOLIC MERU BHANOT
• COHEN-MACAULEY AND REGULAR LOCAL RINGS 1. Flat, projective, and free modules 1
• MARKOV CHAINS ZSOLT TERDIK
• MATHEMATICAL PHYSICS A SURVEY OF GAUGE THEORIES AND SYMPLECTIC TOPOLOGY
• TOPOLOGICAL PROOFS OF THE EXTREME AND INTERMEDIATE VALUE THEOREMS
• THREE THEOREMS IN KNOT THEORY ELEANOR BRUSH
• CONNECTIONS MATTHEW WOOLF
• UNSTABLE FIRST-ORDER THEORIES JOHN BINDER
• FINITE CATEGORIES NOTES FOR THE REU: JULY 27
• FREUDENTHAL SUSPENSION THEOREM TENGREN ZHANG
• THE GRIGORCHUK GROUP KATIE WADDLE
• Theoretical Computer Science 305 (2003) 135158 www.elsevier.com/locate/tcs
• THE COHOMOLOGY OF RESTRICTED LIE ALGEBRAS AND OF HOPF ALGEBRAS12
• MARKOV CHAIN MONTE CARLO Abstract. This paper gives a brief introduction to Markov Chain Monte
• FINITE CATEGORIES: JULY 19 NOTES FOR THE REU
• MINIMAL ATOMIC COMPLEXES A.J. BAKER AND J.P. MAY
• Turing Machines, Oracle Turing Machines, and the Turing Hierarchy
• THE BORSUK-ULAM AND HAM SANDWICH THEOREMS BRIAN LIBGOBER
• NOTES ON FILTRATIONS, TOPOLOGIES, AND COMPLETIONS 1. Filtered groups 1
• SOME BASIC PROPERTIES OF BROWNIAN MOTION AARON MCKNIGHT
• BASIC THEORY OF ALGEBRAIC GEOMETRY SAMUEL BLOOM
• Subgroups of Mapping Class Groups Generated by Three Dehn Twists
• AN INTRODUCTION TO THE LEBESGUE INTEGRAL CHARLES DOSS
• REPRESENTATION THEORY OF SL2 OVER A P-ADIC FIELD: THE PRINCIPAL SERIES
• FINITE CATEGORIES NOTES FOR THE REU: JULY 28
• CAPSULE INTRODUCTIONS BLOCK 1: Babai and May. Those in the apprentice program will attend the first
• DOUGLAS EVERSON, JR. Abstract. This paper is intended as a introduction to Gaussian Curvature
• SOME EXAMPLES OF SUBDIVISION OF SMALL CATEGORIES MARCELLO DELGADO
• GENERAL ABSTRACT NONSENSE MARCELLO DELGADO
• THE EULER CHARACTERISTIC, POINCARE-HOPF THEOREM, AND APPLICATIONS
• FINITE CATEGORIES: JULY 26 NOTES FOR THE REU
• PLANE SYMMETRY GROUPS MAXWELL LEVINE
• A BRIEF INTRODUCTION TO RAMSEY THEORY OF GRAPHS JUSTIN WALKER
• AN INTRODUCTION TO THE PRACTICAL USE OF MUSIC-MATHEMATICS
• REU 2005: SCHEDULE FOR WEEKS THREE AND FOUR Morning talks: Ryerson Annex 276
• EQUITABLE PARTITIONS AND ORBIT PARTITIONS SATORU KUDOSE
• AN INTRODUCTION TO NONSTANDARD ANALYSIS ISAAC DAVIS
• 'Edited by A Dold and B. Eckmann J. Peter May
• FOURIER ANALYSIS AND THE UNCERTAINTY PRINCIPLE Abstract. Fourier analysis is not only a useful tool in mathematics, but has
• THE ALGEBRAIC GEOMETRY DICTIONARY FOR BEGINNERS Abstract. This paper is a simple summary of the first most basic definitions
• Principles of Pseudo-Random Number Generation in Cryptography
• FRIEZE GROUPS IN R2 MAXWELL STOLARSKI
• GODEL'S COMPLETENESS AND INCOMPLETENESS BEN CHAIKEN
• GIRTH AND CHROMATIC NUMBER OF GRAPHS AARON HALPER
• Annotation: A discussion of the fundamental ideas behind Selberg's "Elementary proof of the
• THE WEAK HOMOTOPY EQUIVALENCE OF Sn AND A SPACE
• DIFFERENTIAL TOPOLOGY AND THE POINCARE-HOPF ARIEL HAFFTKA
• PACKING TRIANGLES ON A SPHERE ISAAC OTTONI WILHELM
• 2nd subdivision of a simplicial set 1 Subdivision of simplicial sets -Kan version
• REU 2009: SCHEDULE FOR WEEKS SEVEN AND EIGHT Afternoon talks are in E206
• AN EXPLORATION OF THE METRIZABILITY OF TOPOLOGICAL SPACES
• REPRESENTATIONS OF GL2(Fq) PATRICIA BRENT
• TEMPLATE FOR REU PAPERS Abstract. Give a brief description of your paper here
• Classical groups and bundle theory We introduce the spaces we shall study and review the fundamentals of bundle
• Characteristic classes of vector bundles We here develop the classical theory of characteristic classes. Our procedure is
• General Instructions for Final Draft of Short Paper (18.310) Your first draft was in every case reasonably well written, but I want you to make an attempt to make
• MENTORING PAIRINGS Graduate students and e-mails
• CLASSIFICATION OF FINITE SIMPLE GROUPS ABHINAV SHRESTHA
• AN INTRODUCTION TO FUNCTIONAL ANALYSIS DILEEP MENON
• CONCEPTUALIZING MUSIC THROUGH MATHEMATICS AND THE GENERALIZED INTERVAL SYSTEM
• AN INTRODUCTION TO FREE QUANTUM FIELD THEORY THROUGH KLEIN-GORDON THEORY
• THE UNIVERSITY OF CHICAGO 2003 Summer VIGRE Program for Undergraduates
• QUASI-FROBENIUS RINGS I'll sketch a solution to the following interesting problem, where R is commutative
• EVEN WALKS ON VERTEX-TRANSITIVE GRAPHS MATTHEW STEFFEN
• FINITE CATEGORIES: JULY 25 NOTES FOR THE REU
• REU 2010 Abel's Theorem-8 Peter May and Rina Anno ABEL'S THEOREM-8. BASIC THEOREM OF ALGEBRA.
• EQUIVARIANT ORIENTATIONS AND THOM ISOMORPHISMS 1. The fundamental groupoid and categorical definitions 3
• AN INTRODUCTION TO LINEAR AND CYCLIC CODES MICHAEL CALDERBANK
• THE UNIVERSITY OF CHICAGO 2009 Summer VIGRE Program for Undergraduates
• GALOIS CATEGORIES MELISSA LYNN
• A PROOF OF THE GAUSS-BONNET THEOREM AARON HALPER
• TEMPLATE FOR REU PAPERS Abstract. This is a sample latex document with emphasis on using math
• DYNAMICAL SYSTEMS 1. Introduction 1
• Maximal Functions in Analysis Robert Fefferman
• Probability Theory Muhammad Waliji
• THE ATIYAH-GUILLEMIN-STERNBERG CONVEXITY WOLFGANG SCHMALTZ
• THE PRIME NUMBER THEOREM RILEY HECKEL
• ENUMERATION OF HOMOTOPY CLASSES OF FINITE T0 TOPOLOGICAL SPACES
• THE INDEX OF A VECTOR FIELD AS AN INVARIANT Introduction
• Curriculum Vitae J. Peter May
• PROJECT DESCRIPTION: HIGHER CATEGORICAL STRUCTURES AND THEIR APPLICATIONS
• OPERADIC CATEGORIES, A-CATEGORIES AND n-CATEGORIES
• Math 327, Spring 2011 Office: Eckhart 314
• SOME ALGEBRAIC DEFINITIONS AND CONSTRUCTIONS Definition 1. A monoid is a set M with an element e and an associative multipli-
• 1. Symmetric monoidal categories and enriched categories In practice, categories come in nature with more structure than just sets of
• 1. Enriching confusion Let me try to clarify the example. Let V be the category of chain complexes
• NOTES ON DEDEKIND RINGS 1. Fractional ideals 1
• SOME NOTES ON NOETHERIAN LOCAL RINGS These notes may serve as a very brief outline sketch of a few things that every al-
• NOTES ON TOR AND EXT 1. Basic homological algebra 1
• Chapter 1. Extract from the introduction 3 Chapter 2. Bialgebras and Hopf algebras 5
• THE AXIOMS FOR TRIANGULATED CATEGORIES 1. Triangulated categories 1
• THE VIGRE PROGRAM Vertical integration of teaching and research has been a tradition
• UNDERGRADUATE STATISTICS DECLARED MAJORS (SPRING)
• JoIJRNAL OF .\LGEBRA 3, 123-146 (I 966) The Cohomology of Restricted Lie Algebras
• CATEGORIES OF SPECTRA AND INFINITE LOOP SPACES J. Peter May
• A GENERAL ALGEBRAIC APPROACH TO STEENROD OPERATIONS J. Peter May
• ILecture Notes in Mathematics For information about Vols. 1-342. please contact your book-
• MODERN FOUNDATIONS FOR STABLE HOMOTOPY THEORY A. D. ELMENDORF, I. KRIZ, M. A. MANDELL, AND J. P. MAY
• BRAVE NEW WORLDS IN STABLE HOMOTOPY THEORY I will give a broad survey of the general area of structured ring spectra in modern
• STABLE ALGEBRAIC TOPOLOGY, 19451966 1. Setting up the foundations 3
• THE HARE AND THE TORTOISE It is a pleasure to be here to help celebrate Mike Boardman's 60th birthday.1
• A Concise Course in Algebraic Topology Introduction 1
• MODEL CATEGORIES OF DIAGRAM SPECTRA M. A. MANDELL, J. P. MAY, S. SCHWEDE, AND B. SHIPLEY
• THE ADDITIVITY OF TRACES IN TRIANGULATED Abstract. We explain a fundamental additivity theorem for Euler charac-
• IDEMPOTENTS AND LANDWEBER EXACTNESS IN BRAVE NEW ALGEBRA
• OPERADS AND SHEAF COHOMOLOGY Abstract. I explain how to construct E cochain algebras for computing
• CATERADS AND ALGEBRAS OVER CATERADS Abstract. I define "symmetric monoids", and "caterads" in a closed sym-
• THE UNIVERSITY OF CHICAGO 2002 Summer VIGRE Program for Undergraduates
• SUMMER 2003 REU PARTICIPANTS AND ASSIGNMENTS Dean Baskin
• REU: SCHEDULE FOR WEEKS ONE AND TWO UNLESS OTHERWISE POSTED, ALL TALKS WILL BE IN RYERSON 251
• MENTORING PAIRINGS (plus others with mentors in common)
• THE UNIVERSITY OF CHICAGO 2005 Summer VIGRE Program for Undergraduates
• Name (18) @uchicago.edu Padraic James Bartlett padraic
• GRADUATE STUDENT COURSE ASSIGNMENTS Block 0 Analysis ---Fefferman Week 1
• MENTORING PAIRINGS Graduate students and e-mails
• FINITE CATEGORIES NOTES FOR THE REU BY J.P. MAY
• FINITE CATEGORIES: JULY 21 NOTES FOR THE REU
• FINITE CATEGORIES: JULY 22 NOTES FOR THE REU
• THE UNIVERSITY OF CHICAGO 2006 Summer VIGRE Program for Undergraduates
• REU: REVISED SCHEDULE FOR WEEKS SEVEN AND EIGHT BABAI'S AFTERNOON TALKS ARE IN R276
• Name (24) @uchicago.edu Emily Bargar ebargar
• A Short Guide to Hackenbush Padraic Bartlett VIGRE REU 2006
• 2006 VIGRE REU Paper Matthew Bruce
• Graph Theory and Cayley's Formula Chad Casarotto
• LAMBDA CALCULUS 1. Background
• ASYMPTOTIC BEHAVIOR OF THE NUMBER OF PRIME PARTITIONS
• REU Project: Topics in Probability Trevor Davis
• ELEMENTARY MOVES ON POLYGONAL TRIANGULATIONS OF THE DISK
• The Mergelyan-Bishop Theorem Dan Gardner
• The Number of Elementary Moves Required to Begin to Swap Triangulations
• July 13, 2006 Hae Young Noh
• REU PROJECT Robert Prag
• MASCHKE'S THEOREM ABIGAIL SHELDON
• Problems in Ordinary Differential Equations Andrew Steiner
• Monkeys and Walks Muhammad Waliji
• FORBIDDEN MINORS AND MINOR-CLOSED GRAPH Abstract. Kuratowski's Theorem gives necessary and sufficient conditions for
• APPRENTICE and SIT-INS Name (33) @uchicago.edu
• GRADUATE STUDENT COURSE ASSIGNMENTS Block 1 Discrete mathematics ---Babai Weeks 18
• MENTORING PAIRINGS APPRENTICE and SIT-INS
• REU 2007: SCHEDULE FOR WEEKS ONE AND TWO Morning, TTh 1:30, and M-F 4:00 talks: Ryerson 251
• THE UNIVERSITY OF CHICAGO 2008 Summer VIGRE Program for Undergraduates
• APPRENTICE and SIT-INS Name (34) @uchicago.edu
• FINITE TOPOLOGICAL SPACES NOTES FOR REU BY J.P. MAY
• FINITE SPACES AND SIMPLICIAL COMPLEXES NOTES FOR REU BY J.P. MAY
• THE DYNAMICAL SYSTEM GENERATED BY THE 2D NAVIER-STOKES EQUATIONS
• PERSPECTIVES ON AN OPEN QUESTION IOANA BERCEA
• Cohomology and Vector Bundles Corrin Clarkson
• FREE GROUPS AND GRAPHS: THE HANNA NEUMANN LAUREN COTE
• BROWNIAN MOTION Abstract. This paper seeks to study standard Brownian motion and some
• A More Stable Approach To LISP Tree GP Joseph Doliner
• AN ELUCIDATION OF VECTOR CALCULUS THROUGH DIFFERENTIAL FORMS
• MATRIX GROUPS DANIEL FELTEY
• THE REGULARITY LEMMA AND GRAPH THEORY ARIEL HAFFTKA
• Apprentice Program Alternate Proof of the Spectral Theorem
• A COMBINATORIAL APPROACH TO STALLINGS' HIKARU KIYO
• CW COMPLEXES OF THE FORM K(G, n) DENNIS KRIVENTSOV
• Stallings' Folding Process in (almost) Linear Carmel Levy
• SET AND AFFINE CAPS ELLEN MCCULLAGH
• AN INTRODUCTION TO THE STOCHASTIC INTEGRAL Abstract. This paper gives an elementary introduction to the development
• The Spectral Theorem and Beyond Guillaume Pouliot
• UNDERSTANDING IRREDUCIBLE REPRESENTATIONS ALEX ROSENFELD
• AN EXPLORATION OF COMPLEX JACOBIAN VARIETIES MATTHEW WOOLF
• INTRODUCTION TO CODING THEORY: BASIC CODES AND SHANNON'S THEOREM
• PROJECTIVE GEOMETRY KRISTIN DEAN
• SURPRISINGLY DIFFICULT LATTICE PROBLEMS WAI LEE CHIN FEMAN
• ALGEBRAICALLY TRIVIAL, BUT TOPOLOGICALLY NON-TRIVIAL MAP
• FINITE MARKOV CHAINS BEN NORDSTROM
• THE FUNDAMENTAL THEOREM OF MARKOV CHAINS AARON PLAVNICK
• GAME THEORY AND THE MINIMAX THEOREM MIRA SCARVALONE
• THE ROOMMATES PROBLEM DISCUSSED NATHAN SCHULZ
• RECTILINEAR EMBEDDINGS OF Kn IN THE PLANE JOHN WILTSHIRE-GORDON
• PRIMES AND QUADRATIC RECIPROCITY ANGELICA WONG
• THE BANACH-TARSKI PARADOX Abstract. Stefan Banach and Alfred Tarski introduced the phrase: "a pea
• Abstract. In this paper I analyze the game Nim, starting with an introduc-tion of the game and ending with the solution. Within, I explain some of the
• Apprentice First-Year Name (26) @uchicago.edu Mentors
• Graduate Student Participants Timur Akhunov
• HILBERT'S NULLSTELLENSATZ AND ITS APPLICATION IN GRAPH THEORY
• MULTIDIMENSIONAL SCHRODINGER OPERATORS AND SPECTRAL THEORY
• DE RHAM COHOMOLOGY, CONNECTIONS, AND CHARACTERISTIC CLASSES
• BROWNIAN MOTION JUSTIN HARTMANN
• SECOND-ORDER LOGIC, OR: HOW I LEARNED TO STOP WORRYING AND LOVE THE INCOMPLETENESS THEOREMS
• COMPLEX LIE ALGEBRAS Abstract. We prove that every Lie algebra can be decomposed into a solvable
• THE RESTRICTION PROBLEM AND THE TOMAS-STEIN DENNIS KRIVENTSOV
• POINCARE DUALITY HIKARU KIYO
• RAMSEY THEORY: VAN DER WAERDEN'S THEOREM AND THE HALES-JEWETT THEOREM
• GLn(R) AS A LIE GROUP MAXWELL LEVINE
• GROWTH RATE OF GROUPS CONG HAN LIM
• CONFIGURATION SPACES EMILY MACKEVICIUS
• CARDINAL AND ORDINAL NUMBERS JAMES MURPHY
• Arrow's Paradox Prerna Nadathur
• AN INTRODUCTION TO SCHEMES PETER NELSON
• SIMPLE CLOSED CURVES ON SURFACES WITH INTERSECTION NUMBER AT MOST ONE
• ISOMETRIES OF THE HYPERBOLIC PLANE KATHY SNYDER
• INTEGRATION ON MANIFOLDS SHIV SUBRAMANIAM
• RIEMANNROCH THEOREM VALERIYA TALOVIKOVA
• AN INTRODUCTION TO AFFINE SCHEMES BROOKE ULLERY
• FUNDAMENTAL GROUPS AND THE VAN KAMPEN'S SAMUEL BLOOM
• ISOMETRIES OF THE PLANE TRACY BOSWELL
• A TREATMENT OF THE DIRICHLET INTEGRAL VIA THE METHODS OF REAL ANALYSIS
• ELEMENTARY APPLICATIONS OF FOURIER ANALYSIS Abstract. This paper is intended as a brief introduction to one of the very
• STOKES' THEOREM ON MANIFOLDS GIDEON DRESDNER
• COMPLEXITY THEORY AND THE RSA CRYPTOSYSTEM JAYANTH GARLAPATI
• ON GRAPH CONNECTIVITY AFTER PATH REMOVAL GRAHAM CASEY GIBSON
• THE ISING MODEL: PHASE TRANSITION IN A SQUARE ALEXANDRE R. PUTTICK
• THE UNIVERSITY OF CHICAGO 2010 Summer VIGRE Program for Undergraduates
• REU 2010: SCHEDULE FOR WEEKS ONE AND TWO Morning talks in Ryerson 251, afternoon in R251 or E133
• REU 2010: SCHEDULE FOR WEEKS THREE AND FOUR Apprentice talks are in R251. Afternoon talks are in E206 or Kent 101.
• FIRST YEAR APPRENTICES Name (15) @uchicago.edu
• FIRST YEAR APPRENTICES Name (15) @uchicago.edu
• REU 2010 Abel's Theorem-6 Peter May and Rina Anno ABEL'S THEOREM-6. COMPLEX NUMBERS.
• SOME POSSIBLE DIRECTIONS FOR REU FINAL PROJECTS In case it is useful here is a list of topics which might be interesting to investigate.
• A CATEGORICAL APPROACH TO PROOFS-AS-PROGRAMS CARSEN BERGER
• A Rigorous Introduction to Brownian Motion August 19, 2010
• THE TURING DEGREES AND THEIR LACK OF LINEAR JASPER DEANTONIO
• EXISTENCE AND UNIQUENESS OF HAAR MEASURE JONATHAN GLEASON
• ULTRAPRODUCTS AND MODEL THEORY AARON HALPER
• GROUP COHOMOLOGY AND KUMMER THEORY KRIS HARPER
• PERCOLATION AND THE EXISTENCE OF THE INFINITE OPEN CLUSTER
• THE CANTOR-SCHROEDER-BERNSTEIN PROPERTY IN DON LAACKMAN
• PERSISTENT HOMOLOGY OF FINITE TOPOLOGICAL SPACES HANEY MAXWELL
• DIFFERENTIAL GALOIS THEORY Abstract. Differential Galois Theory is a branch of abstract algebra that
• A FOUNDATIONAL CATEGORY PAIGE NORTH
• IRREDUCIBLE REPRESENTATIONS OF SEMISIMPLE LIE Abstract. The goal of this paper is to study the irreducible representations
• The current article intends to introduce the reader to the concept of ideles and adeles and to describe some of their applications in modern
• A RESULT ON REPRESENTATIONS OF HOMOLOGY MANIFOLDS BY FINITE SPACES
• THE BLACK-SCHOLES MODEL AND EXTENSIONS EVAN TURNER
• ON MINIMAL FINITE MODELS DAPING WENG
• SOME ELEMENTARY RESULTS IN REPRESENTATION ISAAC OTTONI WILHELM
• INTERPOLATION, MAXIMAL OPERATORS, AND THE HILBERT TRANSFORM
• THE CLASS NUMBER THEOREM TIMUR AKMAN-DUFFY
• HIDDEN MARKOV MODELS IN INDEX RETURNS JUSVIN DHILLON
• ALGEBRAIC TOPOLOGY Abstract. The focus of this paper is a proof of the Nielsen-Schreier Theorem,
• AN INTRODUCTORY TREATMENT OF MORSE THEORY ON Abstract. Morse Theory is greatly utilized to find and decompose structures
• ELLIPTIC CURVES AND CRYPTOGRAPHY JOHN KOPPER
• SUMS OF SQUARES JOSHUA BOSSHARDT
• ELEMENTARY NUMBER THEORY AND THE CHINESE REMAINDER THEOREM
• MEASURE THEORETIC ASPECTS OF DYNAMICAL SYSTEMS WATEE SRININ
• TOPOLOGICAL SPACES AND THE FUNDAMENTAL GROUP MAXWELL XIONG
• THE UNIVERSITY OF CHICAGO 2011 Summer VIGRE Program for Undergraduates
• REU 2011: SCHEDULE FOR WEEKS SEVEN AND EIGHT Afternoon talks are in E206
• PHILOSOPHIZING Thought I would take an hour off to just write nonsense about points of view,
• UNIVERSITY OF CHICAGO REU 2007: GROUPS OF 2 2 MATRICES
• FINITE TOPOLOGICAL SPACES NOTES FOR REU BY J.P. MAY
• LOW DIMENSIONAL EXAMPLES NOTES FOR REU BY J.P. MAY
• AN INTRODUCTION TO SIMPLICIAL SETS NOTES FOR REU BY J.P. MAY
• SUBDIVISIONS OF SMALL CATEGORIES NOTES FOR REU BY J.P. MAY
• UNIVERSIDAD DE BUENOS AIRES Facultad de Ciencias Exactas y Naturales
• ADVANCES IN MATHEMATICS Manuscript Draft
• STRONG HOMOTOPY TYPES, NERVES AND COLLAPSES JONATHAN ARIEL BARMAK AND ELIAS GABRIEL MINIAN
• AUTOMORPHISM GROUPS OF FINITE POSETS JONATHAN ARIEL BARMAK AND ELIAS GABRIEL MINIAN
• REU 2010 Abel's Theorem-7 Peter May and Rina Anno ABEL'S THEOREM-7. CONTINUOUS CURVES.
• REU 2010 Abel's Theorem-9 Peter May and Rina Anno ABEL'S THEOREM -9. RIEMANN SURFACES.
• arXiv:0707.1718v2[math.AT]22Feb2008 On the subdivision of small categories
• SEMISIMPLE LIE ALGEBRAS AND THE CHEVALLEY GROUP CONSTRUCTION
• MORLEY'S CATEGORICITY THEOREM NICK RAMSEY
• REU 2009: SCHEDULE FOR WEEKS THREE AND FOUR Apprentice talks are in R251
• Geometry REU Course Description Instructors: Ben McReynolds1
• A COMPARISON OF THE GRAPHS OF THE CHROMATIC AND DIATONIC SCALE
• THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO DIFFERENTIAL EQUATIONS
• University of Chicago, REU 2009: Lecture 1. Tuesday, July 17, 2006 TEXed by Mohammed
• THE PICARD GROUP OF EQUIVARIANT STABLE HOMOTOPY H. FAUSK, L.G. LEWIS, JR, AND J.P. MAY
• -ALGEBRAIC FORMALISM OF QUANTUM MECHANICS JONATHAN JAMES GLEASON
• STABLE ALGEBRAIC TOPOLOGY STABLE TOPOLOGICAL ALGEBRA
• PRINCIPAL COMPONENT ANALYSIS Abstract. The following paper will explore the concepts of linear algebra that
• NOTES ON ATIYAH'S TQFT'S As an example of "categorification", I presented Atiyah's axioms [1] for a topolog-
• The Geometry of Iterated Loop Spaces Retyped by Nicholas Hamblet
• A BRIEF INTRODUCTION TO GAUGE INTEGRATION GREG HERSCHLAG
• Spectral Measures and the Spectral Theorem sraskin@uchicago.edu
• CATEGORIES OF PROBABILITY SPACES MELISSA LYNN
• University of Chicago, REU, 2009 preliminary notes
• Universal Coefficient Theorem for Homology Jia Lin Chen
• A Walking Tour of Microlocal Analysis Jeff Schonert
• A BRIEF STUDY OF DISCRETE AND FAST FOURIER AASHIRWAD VISWANATHAN ANAND
• REU 2007: SCHEDULE FOR WEEKS THREE AND FOUR Apprentice talks: E133 (or R251 if E133 is in use by YSP)
• GENERALIZED ABSTRACT NONSENSE: CATEGORY THEORY AND ADJUNCTIONS
• GRADUATE STUDENT ASSIGNMENTS (Finalizes assignments for last four weeks)
• REU: TENTATIVE GRADUATE STUDENT ASSIGNMENTS The calendar of the program, with duties of undergraduates is
• REPRESENTATIONS OF THE SYMMETRIC GROUP Abstract. I will introduce the topic of representation theory of finite groups
• First Order Logic and Nonstandard Analysis Julian Hartman
• ACTING FREELY GABRIEL GASTER
• UNIVERSITY OF CHICAGO REU 2007: GROUPS OF 2 2 MATRICES
• arXiv:1005.0538v1[math.CO]4May2010 ON QUILLEN'S THEOREM A FOR POSETS
• MINKOWSKI THEORY AND THE CLASS NUMBER BROOKE ULLERY
• TATE'S THESIS ON ZETA FUNCTIONS ON NUMBER FIELDS JOHN BINDER
• FINITE SPACES AND SIMPLICIAL COMPLEXES NOTES FOR REU BY J.P. MAY
• EQUITABLE PARTITIONS IN GRAPH THEORY ALEXANDER STAPLES-MOORE
• Name(34) @math.uchicago.edu weeks (8 = default) Timur Akhunov timur
• Finite topological spaces Department of Mathematics
• EUCLIDEAN ISOMETRIES AND SURFACES Abstract. In this paper, we attempt a classification of the euclidean isome-
• LOW DIMENSIONAL EXAMPLES NOTES FOR REU BY J.P. MAY
• EXERCISES/PROBLEMS ON FINITE TOPOLOGICAL SPACES Exercises are meant to test your understanding. Problems are meant to be less
• BROUWER'S FIXED POINT THEOREM JASPER DEANTONIO
• Wednesday, June 23 Reyerson 251, 7:00 pm
• CLASSIFICATION OF SURFACES JUSTIN HUANG
• SYMMETRIES IN R3 NAMITA GUPTA
• QUARTERNIONS AND THE FOUR SQUARE THEOREM JIA HONG RAY NG
• RSA ENCRYPTION AND DIFFIE HELLMAN KEY EXCHANGE MIRA SCARVALONE
• OPERADIC TENSOR PRODUCTS AND SMASH PRODUCTS Abstract. Let k be a commutative ring. E k-algebras are associative
• Decidability William Chan
• Lecture Notes in Mathematics For information about Vols. 1-1008 please contad your bookseller
• Selected Problems from Marcus, Number Fields Sayer Herin
• COMPLETENESS OF THE RANDOM GRAPH: TWO PROOFS EUGENIA FUCHS
• EXPLAINING BIFURCATIONS NAMITA GUPTA
• UNDERSTANDING RULER AND COMPASS CONSTRUCTIONS WITH FIELD THEORY
• ELLIPTIC CURVES AND CRYPTOGRAPHY MICHAEL CALDERBANK
• BEHIND THE INTUITION OF TILINGS EUGENIA FUCHS
• Topology and its Applications 154 (2007) 20732080 www.elsevier.com/locate/topol
• COUNTING SELF AVOIDING WALKS OF LENGTH N ISAAC OTTONI WILHELM
• Extending an orthonormal rational set of vectors into an orthonormal rational basis
• What Does Mathematical Logic Have To Do With Mathematics?
• THE UNIVERSITY OF CHICAGO 2007 Summer VIGRE Program for Undergraduates
• PICARD GROUPS, GROTHENDIECK RINGS, AND BURNSIDE RINGS OF CATEGORIES
• PROOFS OF THE MODEL AXIOMS FOR TOP Theorem 1 (Quillen model structure). The category of spaces is a model category
• University of Chicago, REU 2009: Peter May and Rina Anno
• EXPLORATIONS OF SPERNER'S LEMMA AND ITS CONNECTIONS TO BROUWER'S FIXED POINT
• REU 2010 Abel's Theorem-5 Peter May and Rina Anno ABEL'S THEOREM-5. PERMUTATIONS.
• Topology and its Applications 125 (2002) 533542 www.elsevier.com/locate/topol
• APPLYING GROBNER BASES TO"SOLVE" SOLVABLE POLYNOMIALS
• The Graphs of Triangulations of Polygons Matthew O'Meara
• ROTATIONS, ROTATION PATHS, AND QUANTUM SPIN MICHAEL THVEDT
• Summer REU 2009 Apprentice Course
• ON FERMAT'S LITTLE THEOREM ROBERT E. BISHOP
• The Ehrenfeucht Game and First Order Logic August 13, 2006
• The Heat Equation and the Li-Yau Harnack Inequality Blake Hartley
• REU 2010 Abel's Theorem-4 Peter May and Rina Anno ABEL'S THEOREM-4. SOLVABLE GROUPS.
• FOURIER ANALYSIS USING REPRESENTATION THEORY Abstract. In this paper, it is our goal to develop the concept of Fourier
• CORES OF SPACES, SPECTRA, AND E RING SPECTRA P. HU, I. KRIZ, AND J.P. MAY
• Undergraduate Participants Dylan Allegretti
• FOURIER SERIES OF CONTINUOUS FUNCTIONS AT GIVEN ALEXANDER STRATMANN
• arXiv:0901.2621v2[math.AT]4Feb2009 On homotopy types of Alexandroff spaces
• REU 2009: SCHEDULE FOR WEEKS ONE AND TWO Morning, TTh 1:30, and M-F 4:00 talks: Ryerson 251
• ELEMENTARY TOPOI: SETS, GENERALIZED CHRISTOPHER HENDERSON
• AN OUTLINE SUMMARY OF BASIC POINT SET TOPOLOGY We give a quick outline of a bare bones introduction to point set topology. The
• [1] The cohomology of restricted Lie algebras and of Hopf algebras. Bull. Amer. Math. Soc. 71(1965), 372377.
• REPRESENTING INTEGERS AS SUMS OF SQUARES MICHAEL WONG
• GRADUATE STUDENT COURSE ASSIGNMENTS Block 1 Discrete Mathematics ---Babai Weeks 18
• Colimits and Homological Algebra Andy Kiersz
• 2-Dimension from the topological viewpoint Jonathan Ariel Barmak, Elias Gabriel Minian
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• Minimal Finite Models Jonathan Ariel Barmak, Elias Gabriel Minian
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• Matrix-Tree Theorem for Directed Graphs Jonathan Margoliash
• Modular forms and the Hilbert class Vladislav Vladilenov Petkov
• THE FUNDAMENTAL GROUP WILLIAM M. LANDAU
• THE GYSIN SEQUENCE AND THE HOPF INVARIANT DAVID PRICE
• REU 2011: SCHEDULE FOR WEEKS ONE AND TWO MONDAY, June 20
• ISOMETRIES OF THE HYPERBOLIC PLANE ALBERT CHANG
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• EQUIVARIANT STABLE HOMOTOPY THEORY J.P.C. GREENLEES AND J.P. MAY
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• REU: TENTATIVE GRADUATE STUDENT ASSIGNMENTS The calendar of the program, with duties of undergraduates is
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• SOME ALGEBRAIC DEFINITIONS AND CONSTRUCTIONS Definition 1. A monoid is a set M with an element e and an associative multipli-
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• LIMITS AND COLIMITS J.P. MAY
• THE HARE AND THE TORTOISE J.P. MAY
• THE UNIVERSITY OF CHICAGO 2007 Summer VIGRE Program for Undergraduates
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• Math 327, Spring 2011 Office: Eckhart 314
• NOTES ON DEDEKIND RINGS J. P. MAY
• THE UNIVERSITY OF CHICAGO 2002 Summer VIGRE Program for Undergraduates
• NOTES ON TOR AND EXT Contents
• BRAVE NEW WORLDS IN STABLE HOMOTOPY THEORY J. P. MAY
• NOTES ON FILTRATIONS, TOPOLOGIES, AND COMPLETIONS J.P. MAY
• APPRENTICE and SIT-INS |_Name_(34)_____________|_____@uchicago.edu______ |
• A Concise Course in Algebraic Topology J. P. May
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• REU: SCHEDULE FOR WEEKS SEVEN AND EIGHT MOST TALKS ARE IN ECKHART 206 or 202
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• THE UNIVERSITY OF CHICAGO 2007 Summer VIGRE Program for Undergraduates
• THE PICARD GROUP OF EQUIVARIANT STABLE HOMOTOPY THEORY
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• THE INFINITE SYMMETRIC PRODUCT AND HOMOLOGY ANDREW VILLADSEN
• Limit Computable Sets and Degrees William Chan
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• LONG EXTENSIONS 0.1. Equivalences of long extensions 1
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• GRADUATE STUDENT COURSE ASSIGNMENTS Block 1 Linear Algebra and Matrix Groups (Weeks 1*8)
• Representations of Matrix Lie Algebras Alex Turzillo
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• OPTIMAL BLUFFING FREQUENCIES RICHARD YEUNG
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• Last changed: October 30, 2000 Rings, Modules, and Algebras in Stable Homotopy Theory
• MAGICAL TRIANGLES PATRICK GREENE
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• ON THE COHOMOLOGY OF GENERALIZED HOMOGENEOUS J.P. MAY AND F. NEUMANN
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• 2-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS
• NETWORK FLOWS AND THE MAX-FLOW MIN-CUT AL STAPLES-MOORE
• TRIANGLE FREE GRAPHS AND THEIR CHROMATIC TENGREN ZHANG
• THE UNIVERSITY OF CHICAGO 2005 Summer VIGRE Program for Undergraduates
• EQUIVARIANT ORIENTATION THEORY S.R. COSTENOBLE, J.P. MAY, AND S. WANER
• FINITE SPACES AND SIMPLICIAL COMPLEXES NOTES FOR REU BY J.P. MAY
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• THE ADDITIVITY OF TRACES IN TRIANGULATED CATEGORIES
• 1. Symmetric monoidal categories and enriched categories In practice, categories come in nature with more structure than just sets of
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• MENTORING PAIRINGS APPRENTICE
• MENTORING PAIRINGS APPRENTICE
• Parametrized Homotopy Theory J. P. May
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• LOCALIZATION AND COMPLETION THEOREMS FOR MU-MODULE SPECTRA
• FINITE GROUPS AND FINITE SPACES NOTES FOR REU BY J.P. MAY
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• IDEMPOTENTS AND LANDWEBER EXACTNESS IN BRAVE NEW ALGEBRA
• FINITE CATEGORIES NOTES FOR THE REU: JULY 28
• EQUIVARIANT ORIENTATIONS AND THOM ISOMORPHISMS J.P. MAY
• ORTHOGONAL SPECTRA AND S-MODULES M. A. MANDELL AND J. P. MAY
• APPRENTICE |_Name_(24)_____________|@uchicago.edu_|
• FINITE CATEGORIES NOTES FOR THE REU BY J.P. MAY
• THE AXIOMS FOR TRIANGULATED CATEGORIES J. P. MAY
• CORES OF SPACES, SPECTRA, AND E1 RING SPECTRA P. HU, I. KRIZ, AND J.P. MAY
• THE UNIVERSITY OF CHICAGO 2003 Summer VIGRE Program for Undergraduates
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• UNIVERSITY OF CHICAGO REU 2007: GROUPS OF 2 x 2 MATRICES
• FINITE CATEGORIES: JULY 25 NOTES FOR THE REU
• FINITE CATEGORIES: JULY 21 NOTES FOR THE REU
• A PRIMER ON SPECTRAL SEQUENCES Contents
• AN OUTLINE SUMMARY OF BASIC POINT SET TOPOLOGY J.P. MAY
• Here are two games invented by John Conway and Michael Paterson at Cam-bridge in 1967. I can attest that these games were still corrupting the place, along
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• LOCALIZATION AND COMPLETION THEOREMS FOR MU-MODULE SPECTRA
• REU 2010 Abel's Theorem-1 Peter May and Rina Anno ABEL'S THEOREM-1. GROUPS.
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• To Infinity and Beyond Some Notes on Set Theory and Transfinite Numbers
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• OPERADS, ALGEBRAS AND MODULES There are many different types of algebra: associative, associative and commu-
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• CONTINUED FRACTIONS AND PELL'S EQUATION SEUNG HYUN YANG
• Geodesics: REU 2006 Brian Taylor
• WHAT THE FUNCTOR?: CATEGORY THEORY AND THE CONCEPT OF ADJOINTNESS
• LIMITS AND COLIMITS Let D be a small category and let C be any category. A D-shaped diagram in
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• CLASSIFICATION OF ROOT SYSTEMS PATRICIA M. BRENT
• FINITE GROUPS AND FINITE SPACES NOTES FOR REU BY J.P. MAY
• SHANNON INFORMATION AND THE MUTUAL INFORMATION OF TWO RANDOM VARIABLES
• A BRIEF GUIDE TO SOME ERRATA AND ADDENDA The additive infinite loop space theory in "The Geometry of Iterated Loop
• MARKOV CHAINS: STATIONARY DISTRIBUTIONS AND FUNCTIONS ON STATE SPACES
• REU: REVISED SCHEDULE FOR WEEKS SEVEN AND EIGHT BABAI'S AFTERNOON TALKS ARE IN R276
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• REU 2007: SCHEDULE FOR WEEKS SEVEN AND EIGHT BABAI'S AFTERNOON TALKS ARE IN R276
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• THE UNIVERSITY OF CHICAGO 2009 Summer VIGRE Program for Undergraduates
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• MENTORING PAIRINGS APPRENTICE and SIT-INS
• ON THE COHOMOLOGY OF GENERALIZED HOMOGENEOUS SPACES
• PROOFS OF THE MODEL AXIOMS FOR TOP Theorem 1 (Quillen model structure). The category of spaces is a model category
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• QUASI-FROBENIUS RINGS I'll sketch a solution to the following interesting problem, where R is commu*
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• REU 2007: SCHEDULE FOR WEEKS ONE AND TWO Morning, TTh 1:30, and M-F 4:00 talks: Ryerson 251
• LONG EXTENSIONS Contents
• FUNDAMENTAL GROUPS AND COVERING SPACES ETHAN JERZAK
• THE HEXATONIC SYSTEMS UNDER NEO-RIEMANNIAN THEORY: AN EXPLORATION OF THE MATHEMATICAL
• TRANSLATION EQUIDECOMPOSABILITY NICK RAMSEY
• THE FIRST FUNDAMENTAL THEOREM OF WELFARE KEGON TENG KOK TAN
• REU: Reciprocity and Polynomials Matthew Morrow (mmorrow@math.uchicago.edu)
• Bialgebras and Hopf algebras We define bialgebras, Hopf Algebras, and related algebraic structures, largely
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• ASSOCIATIVITY CONSTRAINTS IN MONOIDAL CATEGORIES MITYA BOYARCHENKO
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• NATURAL TRANSFORMATIONS Id -Id Here is a categorical way to think about natural transformations : Id -Id,
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• THE h-COBORDISM THEOREM ANDREW R. MACKIE-MASON
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• ON THE DIAMETER OF CAYLEY GRAPHS OF FINITE YAN SHUO TAN
• CLASSIFICATION OF THE ISOMETRIES OF THE UPPER ZACHARIAH SACHS
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• AN INTRODUCTION TO RANDOM WALKS DEREK JOHNSTON
• A GENTLE INTRODUCTION TO COMPUTATIONAL COMPLEXITY THEORY, AND A LITTLE BIT MORE
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• Differential Topology and the Jordan Brouwer Separation Theorem
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• WARING'S PROBLEM FOR n = 2 JAMES ROBERTSON
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• BASIC FUNCTIONAL ANALYSIS WITH APPLICATIONS EDWARD KARABINUS
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• Reverse Mathematics of Topology William Chan1
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• STOCHASTIC CALCULUS ALEC ZIMMER
• ON SOME ASPECTS OF THE THEORY OF MONADS CARSEN BERGER
• DEDEKIND DOMAINS AND THE IDEAL CLASS GROUP BENJAMIN BOYAJIAN
• Measure Theory and the Central Limit Theorem Peter Brown
• STOCHASTIC CONTROL NAFTALI HARRIS
• LIMITS, COLIMITS AND HOW TO CALCULATE THEM IN THE CATEGORY OF MODULES OVER A PID.
• INTRODUCTORY GROUP THEORY AND FERMAT'S LITTLE JENNY MOMKUS
• THE P-ADIC COMPLETION OF Q AND HENSEL'S LEMMA THEODOR CHRISTIAN HERWIG
• LINDSTROM'S THEOREM SALMAN SIDDIQI
• SPECTRAL RIGIDITY ON Tn JAHAN CLAES
• THE SENSITIVITY CONJECTURE AND THE COMPLEXITY OF BOOLEAN FUNCTIONS
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• THE CONTINUUM HYPOTHESIS AND ITS RELATION TO THE CLIVE CHANG
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• AN APPLICATION OF THE VAN KAMPEN THEOREM JOSHUA GENSLER
• BEZOUT'S THEOREM FOR CURVES DILEEP MENON
• BROWNIAN MOTION AND HAUSDORFF DIMENSION PETER HANSEN
• THE UNIFORMIZATION THEOREM AND UNIVERSAL COVERS PETAR YANAKIEV
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• LEBESGUE MEASURE AND L2 SPACE. Abstract. This paper begins with an introduction to measure spaces and
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• CLASSIFICATION OF SURFACES CHEN HUI GEORGE TEO
• GROUP THEORY: AN INTRODUCTION AND AN APPLICATION
• HOW N PEOPLE CAN SIMULATE A FAIR COIN FLIP PHIL WERTHEIMER
• Introductory Probability and the Central Limit Theorem Vlad Krokhmal
• Introduction to Braid Groups Joshua Lieber
• KNOT CLASSIFICATION AND INVARIANCE ELEANOR SHOSHANY ANDERSON
• REGULAR POLYTOPES IN Zn ANDREI MARKOV
• THE CLASSIFICATION OF SURFACES WITH BOUNDARY THOMAS GEORGE
• METRIC SPACES AND THE CONTRACTION MAPPING LUKE PEELER
• SOME APPLICATIONS OF MARTINGALES TO PROBABILITY WATSON LADD
• THE ZETA FUNCTION AND ITS RELATION TO THE PRIME NUMBER THEOREM
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• ON THE CHEBYSHEV POLYNOMIALS JOSEPH DICAPUA
• A 2-ADIC EXTENSION OF THE COLLATZ FUNCTION EZRA KARGER
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• CLASSICAL MECHANICS: THE THREE-BODY PROBLEM ZI CHONG KAO
• THE UNIVERSITY OF CHICAGO 2012 Summer Program for Undergraduates
• Journal of Homotopy and Related Structures, vol. 2(2), 2007, pp.1112 MEMORIAL TALK