---
date: 2019-07-01
title: "Reading recommendations master list"
banner: "https://images.unsplash.com/photo-1524995997946-a1c2e315a42f?ixlib=rb-4.0.3&ixid=MnwxMjA3fDB8MHxwaG90by1wYWdlfHx8fGVufDB8fHx8&auto=format&fit=crop&w=1170&q=80"
---

Tags: #resources/recommendations #projects/to-read #nograph #MOC 

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```~dataviewjs
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path includes ${dv.current().file.path}
# you can add any number of extra Tasks instructions, for example:
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`;

dv.paragraph('```tasks\n' + query + '\n```');
```

# Recommendations

## Algebraic Geometry

- [ ] Varieties and Schemes
	- [ ] Cox, Little, O'Shea: "Ideals, varieties, and algorithms".
	- [ ] Voison, Complex Algebraic Geometry #resources/recommendations
	- [ ] Mumford, The Red Book of Varieties and Schemes #resources/recommendations 🔼
	- [ ] Vakil, Algebraic Geometry #resources/recommendation ⏫
	- [ ] Harris: "Algebraic Geometry-A first course"
	- [ ] Schenck: "Computational algebraic geometry"
	- [ ] Eisenbud and Harris, [https://www.maths.ed.ac.uk/~v1ranick/papers/eisenbudharris.pdf](https://www.maths.ed.ac.uk/~v1ranick/papers/eisenbudharris.pdf) #resources/recommendations  
	- [ ] Hartshorne, Algebraic Geometry #resources/recommendations ⏫
- [ ] Commutative algebra
	- [ ]  "Commutative Algebra with a View Toward Algebraic Geometry" by David Eisenbud #resources/recommendations ⏫ 
	- [ ] Atiyah-Macdonald: "Commutative Algebra"
- [ ] Curves and surfaces
	- [ ] Griffiths: "Introduction to Algebraic Curves"
	- [ ] Fulton, Algebraic Cruves #resources/recommendation 🔼
	- [ ] Rick Miranda, Algebraic Curves and Riemann Surfaces #resources/recommendations ⏫
- [ ] K3s
	- [ ] Carlson, Period Mappings and Period Domains [https://www-fourier.ujf-grenoble.fr/~peters/Books/PeriodBook.f/SecondEdition/PerBook.pdf](https://www-fourier.ujf-grenoble.fr/~peters/Books/PeriodBook.f/SecondEdition/PerBook.pdf) #resources/recommendations 🔼
- [ ] Combinatorial AG:
	- [ ] Stanley: "Commutative Algebra and Combinatorics"
	- [ ] Ziegler: "Lectures on Polytopes"
- [ ] Geometric rep theory, Langlands
	- [ ] Kirillov, Lie Groups and Lie Algebras #resources/recommendations by Daniel Litt [Lie algebra](Unsorted/Lie%20algebra.md) 🔼
	- [ ] Diamond, A First Course in Modular Forms #resources/recommendations 🔼
	- [ ] Pramod Achar, Unreleased Text. #resources/recommendations  
	- [ ] Gaitsgory, Singular Support.
- [ ] Mirror Symmetry
	- [ ] Cox Katz
	- [ ] Hori's book
	- [ ] Dustiin Ross and  Emily Clader


## Number Theory / Arithmetic Geometry

- [ ] Algebraic Number Theory, Neukirch #resources/recommendation 🔼
- [ ] Milne, Algebraic Number Theory #resources/recommendation 
- [ ] Cassels-Frohlich, #resources/recommendation 
- [ ] Weil, Basic Number Theory #resources/recommendations 
      See [Number theory](Number%20theory.md).
- [ ] Valenza, Fourier Analysis on Number Fields #resources/recommendations 
- [ ] Silverman, The Arithmetic of Elliptic Curves #resources/recommendations 
      See [elliptic curve](elliptic%20curve.md)
- [ ] Apostol, Intro to Analytic NT
	- [ ] Good for Dirichlet's theorem, PNT. Good for Fourier and complex analysis.
- [ ] An invitation to analytic combinatorics
	- [ ] Recommended by Matt Just.

	      
## Geometry

- [ ] do Carmo, Riemannian Geometry #resources/recommendation 
- [ ] A Theory of Generalized Donaldson-Thomas Invariants. Dominic Joyce Yinan Song #resources/recommendation 
	- [ ] Recommended by Joyce.
- [ ] A Torelli-type theorem for gravitational instantons, Kronheimer.
	- [ ] Recommended by Joyce.
- [ ] The construction of ALE spaces as hyperkahler quotients, Kronheimer.
	- [ ] Recommended by Joyce.
- [ ] Foundations of Hyperbolic Manifolds, Ratcliffe.

## Topology

- [ ] Guillemin?, Stable Mappings and Their Singularities #resources/recommendations 
- [ ] Rolfsen's Knots and Links, #resources/recommendations 
- [ ] Milnor's Characteristic Classes, #resources/recommendations  
- [ ] Milnor's Morse Theory, #resources/recommendations 
- [ ] Milnor's Topology from a Differentiable Viewpoint, #resources/recommendations 
- [ ] Gompf and Stipsicz's 4-manifolds and Kirby Calculus. #resources/recommendations 
- [ ] Lee, Smooth Manifolds #resources/recommendations #geomtop/manifolds  #geomtop/differential-geometry 
- [ ] Cannas da Silva, [https://people.math.ethz.ch/~acannas/Papers/lsg.pdf](https://people.math.ethz.ch/~acannas/Papers/lsg.pdf) #resources/recommendations  #geomtop/symplectic-topology 
      Skip chapters 4, 5, 25, 26, 30
- [ ] Eliashberg, From Stein to Weinstein and Back #resources/recommendations #geomtop/symplectic-topology 
- [ ] Milnor, Morse Theory #resources/recommendations 
- [ ] Pollack, Differential Topology #resources/recommendations 
- [ ] Milnor, Lectures on h-Cobordism #resources/recommendations 
- [ ] McDuff, Introduction to Symplectic Topology #resources/recommendations 
- [ ] Osvath and Szabo, [https://web.math.princeton.edu/~petero/GridHomologyBook.pdf](https://web.math.princeton.edu/~petero/GridHomologyBook.pdf) #resources/recommendations 
- [ ] Frank Warner, Foundations of Differentiable Manifolds and Lie Groups #resources/recommendations 
- [ ] Principal Bundles, Sontz

## Seiberg-Witten Theory 

- [ ] *The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds* by Morgan.  #resources/recommendations 
- [ ] Some lecture notes: <http://wwwf.imperial.ac.uk/~ssivek/papers/regensburg-notes.pdf> #resources/recommendations 
- [ ] [Fukaya category](Fukaya%20category.md) :  
	- [ ] Start from here: <https://arxiv.org/pdf/1301.7056.pdf>
- [ ]  [Casson invariants](Casson%20invariants) :
	- [ ] Saveliev’s book: <https://www.degruyter.com/view/title/121170/>

## Homotopy Theory

- [ ] Goerss-Jardine, Simplicial Homotopy Theory.  #resources/recommendations 
- [ ] FGA Explained. #resources/recommendations 
- [ ] The Handbook of Homotopy Theory. #resources/recommendations 🔼

## Algebra

- [ ] Donkin, [Generalized Schur algebras](https://core.ac.uk/download/pdf/82485012.pdf#page=1&zoom=auto,-290,648)
- [ ] Irving, BGG algebras and the BGG reciprocity principle
	- [ ] Recommended by Nakano.
- [ ] Peter J. Hilton Urs Stammbach, A Course in Homological Algebra (via Dan Nakano) #resources/recommendations 
- [ ] Nicolas Libedinsky, Introduction to Soergel Bimodules  [https://arxiv.org/abs/1702.00039](https://arxiv.org/abs/1702.00039) #resources/recommendations/papers
      
## Analysis

- [ ] Simon, Complex Analysis #resources/recommendations 
- [ ] Taylor, Complex Analysis #resources/recommendations 
- [ ] Folland, Analysis #resources/recommendations 
- [ ] Ordinary Differential Equations: Basics and Beyond. Shcaeffer and Cain.

# Light / Expository

- [ ] Littlewood's Miscellany #resources/recommendations
	- Contains Cambridge gossip! 
- [ ] ![French for mathematicians]([https://people.brandeis.edu/~jbellaic/French.pdf](https://people.brandeis.edu/~jbellaic/French.pdf))

# Physics

- [ ] Arnold, Methods in Classical Mechanics #resources/recommendations 
- [ ] [Supersymmetry for mathematicians](attachments/Supersymmetry%20for%20mathematicians.pdf) #resources/recommendations 
- [ ] [Geometry of Yang-Mills](attachments/Atiyah-Geometry-of-Yang-Mills-Field.pdf) #resources/recommendations From Nat!
- [ ] [String theory for undergraduates](https://ocw.mit.edu/courses/physics/8-251-string-theory-for-undergraduates-spring-2007/lecture-notes/) #resources/recommendations  from Leo!
- [ ] Atiyah, The Geometry and Physics of Knots #resources/recommendations 
- [ ] Thermodynamics: B. Diu et al, "Éléments de Physique Statistique" #resources/recommendations 
- [ ] Applications of TFTs from Arun #resources/recommendations 
	- [ ] <https://arxiv.org/abs/1604.06527> #resources/recommendations 
	- [ ] <https://arxiv.org/abs/1908.09916> #resources/recommendations 
- [ ] 2 volumes of Quantum Fields and Strings for Mathematicians (AMS) #resources/recommendations 
- [ ] Some resources on mirror symmetry: <https://www-math.umd.edu/research/seminars/rit-on-geometry-and-phsyics.html> #resources/recommendations 
- [ ] A ton of graduate physics courses: <https://www.damtp.cam.ac.uk/user/tong/teaching.html> #resources/recommendations 
- [ ] Electricity and Magnetism, Berkeley Physics Course Vol. II by Edward M. Purcell. 
	- [ ] Prereq of special relativity.
- [ ] Feynman lectures on physics
- [ ] The Quantum Theory of Fields, volume 1 by Steven Weinberg.
- [ ] Quantum Field Theory in a Nutshell by Anthony Zee.
- [ ] Towards the Mathematics of Quantum Field Theory 
	- [ ] Recommended by Tim Hosgood
- [ ] Varadarajan's "Supersymmetry for Mathematicians: An Introduction".
- [ ] "Analysis, Manifolds, and Physics"
- [ ] Direct Methods in the Calculus of Variations
      
      
# Journals

[To Review/2021-04-26_Journals](To%20Review/2021-04-26_Journals.md)
[attachments/Journals.pdf](attachments/Journals.pdf)