For a list of projects grouped by math area, see projects by math area.

Winter 2007-2008 (18 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Axiomatic set theory Noah Schweber Damir Dzhafarov  Logic

Mileti, Joseph R. Mathematical Logic for Mathematicians. Course notes, 2007
The Borsuk Ulam Theorem Peter Nelson Niles Johnson  Algebraic topology

Matousek, Jiri. Using the Borsuk-Ulam Theorem
Graph colorings Alex Korbonits Ian Biringer  Graph theory

Differential geometry and general relativity Jesse Marshall Tam Nguyen  Differential geometry/topology

Algebraic graph theory William C Abram Josh Grochow  Graph theory

Biggs, N. Algebraic Graph Theory
Godsil and Royle. Algebraic Graph Theory.
Nonstandard analysis Dylan Allegretti Michael Shulman  Nonstandard analysis

Goldblatt. Lectures on the Hyperreals.
Henle and Kleinberg. Infinitesimal Calculus
Fourier analysis Chenchuan Li Ed Wallace  Fourier analysis

Korner. Fourier Analysis
Bass-Serre theory Nicolas Ford Tom Church  Geometric group theory

Serre. Trees
Scot and Wall. Topological Methods in Group Theory.
Farb. Notes from Geometric Literacy.
P-adic analysis Bo Peng Marius Beceanu  P-adic numbers

Elliptic curves Vladislav Vladilenov Petkov Michael Broshi  Algebraic number theory

Tate and Silverman. Rational Points on Elliptic Curves
Koblitz. A Course in Number Theory and Cryptography
Mordell's Theorem Robert Bishop Bert Guillou  Algebraic number theory

Algebraic number theory Melissa Lynn Adam Allan  Algebraic number theory

Milne. Notes on algebraic number theory.
Euler characteristic and Gauss-Bonnet theorem Elizabeth DeYoung Travis Schedler  Differential geometry/topology

Do Carmo. Differential Geometry of Curves and Surfaces
Riemann surfaces Lisa Wang John Lind  Riemann surfaces

Kirwin. Complex Algebraic Curves
Miranda. Algebraic Curves and Riemann Surfaces.
Farkas and Kra. Riemann Surfaces.
Number Fields and Class Groups Joseph Herbert Sundeep Balaji  Algebraic number theory

Borevich and Shafarevich. Number Theory
Marcus, Daniel. Number Fields
Stochastic Processes Daniel Beksha Shawn Drenning  Probability

Lawler, Gregory. Introduction to Stochastic Processes
Lie groups and geometry Adam Anderson Matthew Day  Differential geometry/topology

Optimization theory David Palm Timur Akhunov  Optimization theory

Sundaram, Rangarajan K. A First Course in Optimization Theory

Spring 2007-2008 (19 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Representation theory and quantum mechanics Vladislav Vladilenov Petkov richard cudney  Representation theory

Linearity, Symmetry, and Prediction in the Hydrogen Atom. Springer UTM
Tropical Geometry Youlian Simidjiyski Elizabeth Beazley  Algebraic geometry

Speyer, David, and Sturmfels, Bernd. Tropical Mathematics
Richter-Gebert, Sturmfels, and Theobald. First Steps in Tropical Geometry
Logic Noah Schweber Damir Dzhafarov  Logic

standard reference by Ebinghaus for Lindstrom's theorem
Introduction to Probability kelly kennedy hanna bennett  Probability

algebraic curves and Riemann surfaces Matthew Woolf Tam Nguyen  Riemann surfaces

Miranda. Algebraic curves and Riemann surfaces.
Ergodic Theory in Number Theory Elan Bechor Tomasz Zamojski  Ergodic theory

Pollicott. (book on dynamical systems of ergodic theory)
First-order logic and model theory Dylan Allegretti David Diamondstone  Logic

Marker, David. Model Theory: An Introduction. Springer-Verlag, New York, 2002.
Mileti, Joseph R. Mathematical Logic for Mathematicians. Course notes, 2007
Zeta functions of number fields adam kaye Nicolas Ojeda Bar  Algebraic number theory

Number theory Robert Bishop burton newman  Combinatorial number theory

First order logic Cong Han Lim John Lind  Logic

Fourier analysis Bo Peng Timur Akhunov  Fourier analysis

Stein. Fourier Analysis
Fourier analysis umnouy ponsukcharoen Shawn Drenning  Fourier analysis

Stein. Fourier Analysis
Topology/analysis korea khalid bou-rabee  Analysis

Jones, Frank. Lebesgue Integration on Euclidean Space
Combinatorics carmel levy Ian Biringer  Combinatorics

Elliptic curves and cryptography Tom Milnor Aaron Marcus  Algebraic number theory

Koblitz. A Course in Cryptography and Number Theory
Game theory Minhao Benjamin Chen Jim Fowler  Game theory

Linear algebra angelica wong Adam Allan  Linear algebra

Representation theory diminate Saravanan Thiyagarajan  Representation theory

Computability and Algorithmic Information: Quantitative Versions of Godel Incompleteness Wai Lee Chin Feman Josh Grochow  Computability and complexity theory

Fall 2008-2009 (14 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Geometry of Surfaces Noah Schweber neil raman Ian Biringer  Differential geometry/topology

sheaves, complex analysis and GAGA Elan Bechor Alan Anders  Algebraic geometry

complexity theory Mark Stoehr Matthew Wright  Computability and complexity theory

http://www.cs.princeton.edu/theory/index.php/Compbook/Draft
Kearns and Vazirani. An Introduction to Computational Learning Theory
The Fundamental Group dfeltey Jared Bass  Algebraic topology

Introduction to Manifolds Patrick Greene Strom Borman  Differential geometry/topology

Janich, Klaus. Vector Analysis
Lee, John. Introduction to Smooth Manifolds
Van der Waerden's Theorem Conor Hughes burton newman  Combinatorics

Reverse math Alex Rosenfeld Damir Dzhafarov  Logic

Simpson, Stephen. Subsystems of Second Order Arithmetic
Gröbner bases Youlian Simidjiyski Daniele Rosso  Algebraic geometry

Cox, Little, and O'Shea. Ideals, Varieties, and Algorithms.
Number theory Michael LeFors Aaron Marcus  Combinatorial number theory

Erdos and Suranyi. Topics in Number Theory
Matrix groups Tom Milnor Vipul Naik  Lie groups

Morton L. Curtis, Matrix Groups
Category theory Donald Laackman Emily Riehl  Category theory

Fourier analysis Aaron McKnight Timur Akhunov  Fourier analysis

Stein. Fourier Analysis
Fractals dustin hedmark Shawn Drenning  Fractals

Falconer. Fractal Geometry
Topological Genericity Melissa Yeung Tomasz Zamojski  Topological dynamics

Hochman. Genericity in topological dynamics. (paper)

Winter 2008-2009 (17 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Reverse math and proof theory Noah Schweber Damir Dzhafarov  Logic

Combinatorial Topology Erin Molloy Jim Fowler  Differential geometry/topology

Algebraic K-theory adam kaye Thanos Papaioannou  Algebraic geometry

Riemann Surfaces and elliptic curves Ryan Julian Vipul Naik  Algebraic number theory

Silverman. Elliptic Curves
Category Theory Donald Laackman Claire Tomesch  Category theory

Maclane. Categories for the Working Mathematician
Descriptive set theory and determinacy Alex Rosenfeld Matthew Wright  Logic

Hyperbolic Geometry Last Feremenga Aaron Marcus  Hyperbolic geometry

Anderson. Hyperbolic Geometry
Algebraic Curves Vladislav Vladilenov Petkov swarnendu datta  Algebraic geometry

Probability Jia Lin Chen Zachary Madden  Probability

Harmonic analysis William C Abram Tomasz Zamojski  Harmonic analysis

Stein. Singular Integrals
Applied mathematics dfeltey David Chudzicki  Applied mathematics

Riemann Surfaces Peter Nelson Jared Bass  Riemann surfaces

Miranda. Algebraic Curves and Riemann Surfaces
Lecture notes from Schlag's first-year graduate complex analysis course.
Algebra Riley Heckel Emily Norton  Algebra

Number theory and combinatorics John Binder burton newman  Combinatorial number theory

Apostol. Analytic number theory
Galois theory of differential equations Guilherme Nettesheim Rita Jimenez  Differential equations

Algebraic Number Theory Wolfgang Schmaltz Daniele Rosso  Elementary number theory

Jones and Jones. Elementary Number Theory
Complex algebraic geometry Wai Lee Chin Feman michael miller  Algebraic geometry

Spring 2008-2009 (24 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Models of Peano Arithmetic Robby Sare David Diamondstone  Logic

Differential Forms in Algebraic Topology Donald Laackman Claire Tomesch  Algebraic topology

Bott and Tu. Differential Forms in Algebraic Topology.
Differential Geometry Hikaru Kiyo Tam Nguyen  Differential geometry/topology

Logic Noah Schweber Damir Dzhafarov  Logic

Stochastic Processes daniel smith Brent Werness  Probability

Williams. Probability with Martingales.
commutative algebra and algebraic geometry Ariel Hafftka Vipul Naik  Algebraic geometry

Dummit and Foote. Abstract Algebra, 3rd Edition.
Eisenbud. Commutative Algebra
Topos Theory in Physics John Dougherty Evan Jenkins  Topos theory

Complex analysis Isaac Davis Timur Akhunov  Complex analysis

Stein and Shakarchi. Complex Analysis
Algorithms of Algebra and Number Theory Cong Han Lim Aaron Marcus  Algebraic geometry

Cox, Little, and O'Shea. Ideals, Varieties, and Algorithms
?. Modern Computer Algebra
Topology from the Differential Viewpoint Wolfgang Schmaltz Strom Borman  Differential geometry/topology

Milnor
Guillemin and Pollack. Differential Topology
number theory Jasper DeAntonio michael miller  Elementary number theory

Silverman, Joseph. A Friendly Introduction to Number Theory
Linear Algebra Shiv Subramaniam Daniele Rosso  Linear algebra

Axler. Linear Algebra Done Right.
Artin. Algebra
complex algebraic curves Vladislav Vladilenov Petkov Sundeep Balaji  Algebraic geometry

Kirwan, Francis. (?)
Introduction to Logic zhongtian dai John Lind  Logic

Robbin. Mathematical Logic: A First Course
Visual Introduction to Complex Analysis Zsolt Terdik Rita Jimenez  Complex analysis

Needham, Tristan. Visual Complex Analysis. Oxford University Press
Fourier analysis Seth Weidman Shawn Drenning  Fourier analysis

Stein. Fourier Analysis
The Spectral Theorem Jonathan James Gleason catalin carstea  Functional analysis

Hassani, S. Mathematical Physics
Reed and Simon. Methods of Modern Mathematical Physics
Combinatorial Game Theory korei klein Jared Bass  Combinatorial game theory

Conway. On Numbers and Games
The Prime Number Theorem Jay Shah burton newman  Analytic number theory

Apostol. Analytic Number Theory
Differential manifolds Je-ok Choi Matthew Thibault  Differential geometry/topology

Existence and Uniqueness for Ordinary Differential Equations Jonathan Libgober Francis Chung  Differential equations

Gamelin and Greene. Introduction to Topology
Algebraic K-theory adam kaye Thanos Papaioannou  Algebraic geometry

Knot Theory Paige North Emily Riehl  Algebraic topology

The Knot Book
Munkres. Topology
Linear Differential Equations McKee Krumpak al anders  Differential equations

Fall 2009-2010 (14 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Algebra Jay Shah al anders  Algebra

Bergman. An Invitation to General Algebra and Universal Constructions
Logic Scott Messick Matthew Wright  Logic

Jech. Set Theory
Harmonic analysis Dennis Kriventsov Timur Akhunov  Harmonic analysis

Stein. Harmonic Analysis
Topology Valer Popa Grigori Avramidi  Algebraic topology

Bott and Tu. Differential Forms in Algebraic Topology
A first course in math culture. Rebecca Hoberg Strom Borman  Elementary mathematics

Laczkovich, Miklos. Conjecture and Proof
Category Theory (Project Canceled) daniel genovessylvan Anna Marie Bohmann 

Mathematical Physics Jonathan James Gleason Evan Jenkins  Mathematical physics

Hassani, Sadri. Mathematical Physics
Category Theory Noah Schweber Rolf Hoyer  Category theory

Goldblatt. Topoi: The categorial analysis of logic
Borceaux. Handbook of categorical algebra I
MacLane, Moerdijk. Sheaves in Geometry and Logic
Awodey. Category Theory
McClarty. Elementary Category Theory
Elementary Number Theory Nick Ramsey Daniele Rosso  Elementary number theory

Jones and Jones. Elementary Number Theory
Group Theory Wolfgang Schmaltz Adam Allan  Group theory

Holt, Dereck. Handbook of Computational Group Theory
Partial Differential Equations Valeriya Talovikova spencer dowdall  Differential equations

Strauss, Walter A. Partial Differential Equations: An Introduction
Category Theory David M Price Aaron Marcus  Category theory

Awodey. Category Theory
Maclane. Categories for the Working Mathematician.
May. A Concise Course in Algebraic Topology
Manifolds Jason Quinones Jared Bass  Differential geometry/topology

Guillemin and Pollack. Differential Topology
Geometry/topology Kathy Snyder Tom Church  Differential geometry/topology

do Carmo. Differential Geometry of Curves and Surfaces
do Carmo. Riemannian Geometry

Winter 2009-2010 (13 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Categorical Logic Noah Schweber Josh Grochow  Logic

Chagrov and Zakharyachev. Modal Logic
Group Theory Neel J. Patel Adam Allan  Representation theory

Flows on manifolds Alex Korbonits Ariel Barton  Differential geometry/topology

Hamilton's papers on the Ricci flow.
Lie Groups Jonathan James Gleason Alex Wright  Lie groups

Hassani, Sadri. Mathematical Physics: A Modern Introduction to Its Foundations
Geometry and differential forms Nick Ramsey Rita Jimenez  Differential geometry/topology

do Carmo. Differential forms and applications
Bachman, David. A Geometric Approach to Differential Forms
Morita, Shigeyuchi. Geometry of Differential Forms
Probability Ryan Wang Zachary Madden  Probability

Manifolds and Lie Groups Tengren Zhang Kathryn Mann  Lie groups

Lee, John M. Introduction to Smooth Manifolds
Algebra John Reilly al anders  Algebraic number theory

Tate and Silverman. Rational Points on Elliptic Curves
Combinatorial Game Theory Paige North Jared Bass  Combinatorial game theory

Conway. On Numbers and Games
Berlekamp, Massey, Guy. Winning Ways For Your Mathematical Plays
Young Tableaux David M Price Daniele Rosso  Representation theory

Fulton. Young Tableaux: With Applications to Representation Theory and Geometry
Fulton and Harris. Representation Theory: A First Course
Algebraic Topology Melissa Lynn Anna Marie Bohmann  Algebraic topology

Aguilar et al. Algebraic Topology from a Homotopical Viewpoint.
May, J.P. A Concise Course in Algebraic Topology
Category Theory daniel genovessylvan Aaron Marcus  Category theory

Awodey. Category Theory
Local class field theory via Lubin-Tate theory Vladislav Vladilenov Petkov Takashi Suzuki  Algebraic number theory

Iwasawa, Kenkichi. Local class field theory. Oxford Science Publications, 1986
Yoshida, Teruyoshi. Local class field theory via Lubin-Tate theory. Ann. Fac. Sci. Toulouse Math. (6) 17 (2008), no. 2, 411--438.

Spring 2009-2010 (12 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Reverse math and knowledge spaces Noah Schweber Damir Dzhafarov  Logic

Model theory Caroline Terry David Diamondstone  Logic

Chang, C. C. and Keisler, H. Jerome. Model Theory
Marker, David. Model Theory
Geometry David M Price Rita Jimenez  Hyperbolic geometry

Iversen, Birger. Hyperbolic Geometry. Anderson, James W. Hyperbolic Geometry
Logic Jasper DeAntonio Matthew Wright  Logic

Enderton.
Young tableaux and representations of the symmetric group John Wiltshire-Gordon Vipul Naik  Representation theory

Kerov.

Compact Lie Groups Neel J. Patel Daniele Rosso  Lie groups

Baker. Matrix groups, an introduction to Lie groups
Simon. Representations of Finite and Compact groups
Special (co)limits and Kan extensions Donald Laackman Emily Riehl  Category theory

Elliptic curves and applications Cong Han Lim Aaron Marcus  Algebraic number theory

Elementary mathematics Maxwell Stolarski John Lind  Combinatorial game theory

Conway. On Numbers and Games
Analytic Number Theory Dylan Allegretti Shawn Drenning  Analytic number theory

Serre. A Course in Arithmetic
Riemann surfaces Wolfgang Schmaltz hyomin choi  Riemann surfaces

Miranda. Algebraic Curves and Riemann Surfaces
Algebraic Geometry Tengren Zhang Kathryn Mann  Algebraic geometry

Smith. An invitation to Algebraic Geometry

Fall 2010-2011 (9 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Introduction to characteristic classes Jay Shah Rita Jimenez  Differential geometry/topology

Bott and Tu. Differential Forms in Algebraic Topology.
Milnor and Stasheff. Characteristic Classes.
Hatcher. Vector Bundles and K-Theory
Representation Theory Neel J. Patel Charles Staats  Representation theory

Fulton and Harris. Representation Theory: A first course
Number Theory Moira Cassidy Tom Church 

Algebraic Curves samuel bloom ian shipman  Algebraic geometry

Fulton, William. Algebraic Curves
Homological Algebra Donald Laackman Jonathan Sun  Homological algebra

Weibel. An Introduction to Homological Algebra
Gelfand and Manin. Methods of Homological Algebra
Topoi and Logic Paige North Jonathan Stephenson  Topos theory

Maclane and Moerdijk. Sheaves in Geometry and Logic
Category Theory Watee Srinin Jared Bass  Category theory

Awodey. Category Theory
Probability zhongtian dai Marcelo Alvisio  Probability

Williams, David. Probability with Martingales.
Cohn, Donald. Measure Theory
Logic William Chan Matthew Wright  Logic

Jech. Set theory

Winter 2010-2011 (6 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
The BGG category O Neel J. Patel Aaron Marcus  Representation theory

Humphreys, James. Representations of Semisimple Lie Algebras in the BGG Category O
Probability Anil Vaitla Marcelo Alvisio  Probability

Williams, David. Probability with Martingales
Rudin, Walter. Real and Complex Analysis
Reverse math Noah Schweber Damir Dzhafarov  Logic

Number theory Watson Ladd Preston Wake 

Categorical logic Nick Ramsey Emily Riehl  Category theory

Lambek and Scott
Awodey. Category Theory
Randomness William Chan David Diamondstone 

André Nies, Computability and Randomness, Oxford University Press, 2009.

Spring 2010-2011 (9 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Complex Analysis and Probability Gideon Dresdner Brent Werness 

Stochastic analysis Greg Mitseas Marcelo Alvisio  Stochastic calculus

Shreve, Steven. Stochastic Calculus for Finance: Continuous-Time Models.
Oksendal, Bernt. Stochastic Differential Equations: An Introduction with Applications
Automorphic forms on GL(2) Neel J. Patel swarnendu datta  Algebraic geometry

Professor Ngo's course on automorphic forms.
Advanced algebraic topology Jay Shah Mona Merling  Model category theory

May, Peter. A Concise Course in Algebraic Topology.
Dwyer and Spalinski. Homotopy Theories and Model Categories
Combinatorial Game Theory Eric Guan Jared Bass  Combinatorial game theory

Conway. On Numbers and Games.
Berlekamp, Conway, and Guy. Winning Ways For Your Mathematical Plays
Number theory Sam Bailey Preston Wake 

The Gamma Function - Emil Artin
Lie groups James Murphy Kathryn Mann  Lie groups

Lee, John C. Introduction to smooth manifolds
Set theory Daping Weng Matthew Wright  Set theory

Jech. Set Theory
Linear algebra up to the spectral theorem Zihao Jiang Fedor Manin  Linear algebra

Axler, Sheldon. Linear Algebra Done Right

Fall 2011-2012 (7 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Model category theory Elden Elmanto Mona Merling  Category theory

May. A Concise Course in Algebraic Topology II
Dwyer and Spalinski. Homotopy Theory and Model Categories
Elementary topology Jasson Elliott Claire Tomesch 

Fourier analysis Alec Zimmer Olga Turanova  Fourier analysis

Duoandikoetxea, Javier. Fourier Analysis
Logic Sam Bailey Matthew Wright  Logic

Enderton.
Algebra (canceled) Joshua Gensler Vaidehee Madhav Thatte 

1. Undergraduate Commutative Algebra, M.REID 2. Introduction to Commutative Algebra, ATIYAH-MACDONALD
Analysis jesse silliman Max Engelstein 

Geometry McKee Krumpak Kathryn Mann  Differential geometry/topology

Thurston. three-dimensional geometry and topology.

Winter 2011-2012 (15 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Geometry of Surfaces arindrima datta Rita Jimenez  Hyperbolic geometry

Stillwell. Geometry of Surfaces
Bonahon. Low-dimensional geometry: from euclidean surfaces to hyperbolic knots
Anderson. Hyperbolic Geometry
Analysis/applied math/Fourier analysis Zhe Wang Olga Turanova  Fourier analysis

Vretblad, Anders. Fourier analysis and its applications
Morse theory Rebecca Hoberg wouter van limbeek  Differential geometry/topology

Guillemin and Pollack. Differential topology
Milnor. Morse theory
Milnor. Topology from the Differentiable Viewpoint
Advanced Algebraic Topology Elden Elmanto Mona Merling 

Hausdorff dimension and Fractals Orest Xherija Daniel Studenmund 

Graph Theory Alexandru Hostiuc Vaidehee Madhav Thatte  Graph theory

Roberts and Tesman. Applied Combinatorics
Anderson, Ian. Combinatorial Designs: Construction Methods
Tucker, Alan. Applied Combinatorics
Probability/analysis Eric Guan hyomin choi  Probability

Ross, Sheldon. Stochastic Processes
Category theory/Logic Benjamin Gammage Matthew Wright  Category theory

Awodey. Category Theory
Number theory Siddharth Patel Valia Gazaki  Algebraic number theory

Ergodic theory Sarah Peluse Alex Wright  Ergodic theory

Einsiedler and Ward. Ergodic theory with a view towards number theory
Fourier Analysis Joshua Bosshardt Bena Tshishiku  Fourier analysis

Terras. Fourier Analysis on Finite Groups and Applications
Stein. Fourier Analysis: An Introduction
Differential Geometry / General Relativity Savannah Thais Markus Kliegl  Differential geometry/topology

Schutz, Bernard. A First Course in General Relativity
Kühnel, Wolfgang. Differential Geometry: Curves - Surfaces - Manifolds
Combinatorial Game Theory Zihao Jiang Jared Bass  Combinatorial game theory

Conway. On Numbers and Games
Berlekamp, Conway, and Guy. Winning Ways For Your Mathematical Plays
Algebraic geometry - Sheaves McKee Krumpak Preston Wake  Algebraic geometry

Elementary number theory (PROJECT CANCELED) Yinglei Chen Vipul Naik  Elementary number theory

Spring 2011-2012 (11 projects):

Project name

 Participants

Math area

Books/resources used (default citation format is author (last, first). title)
Topics in geometry (Morse theory?) jesse silliman Fedor Manin 

Logic Younghan Lee Matthew Wright 

Sipser
Differential forms arindrima datta wouter van limbeek 

Multidimensional Real Analysis - Integration (Duistermaat / Kolk)
Topics in algebra Samuel Dooley Vaidehee Madhav Thatte 

A First Course in Abstract Algebra: J.B. Fraleigh. Undergraduate Commutative Algebra: M. Reid.
Point-set topology Orest Xherija Bena Tshishiku 

Munkres, Topology

PDE's Bradly Stadie Markus Kliegl 

Evans, Lawrence C. Partial Differential Equations.

Steenrod operations Elden Elmanto Mona Merling 

Mean field games Jonathan Libgober Jessica Lin 

Introduction to smooth manifolds Zihao Jiang Asilata Bapat 

An Introduction to Manifolds (Loring Tu) Differential Topology (Victor Guillemin and Alan Pollack)
Mathematical programming and optimization Igor Vasiljevic Olga Turanova 

"Mathematical Programming: An Introduction to Optimization," by Melvyn W. Jeter
Topology jiaqi jiang Jared Bass 

Topology, Munkres.

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