In this page you will find a (non-exhaustive) list of my favourite books, articles, blog posts, etc.
Books and Surveys
1. Incidence Geometry
- Projective Geometry: An Introduction by Rey Casse
- Incidence Geometry by Eric Moorhouse
- A Geometrical Picture Book by Burkard Polster
- Finite Geometry and Combinatorial Applications by Simeon Ball
- Prehistory and History of Polar Spaces and of Generalized Polygons, by Francis Buekenhout
Also see Elements of Finite Geometry.
- A Course in Combinatorics by Van Lint and Wilson
- Discrete Mathematics: Elementary and Beyond by Lovasz
- Invitation to Discrete Mathematics by Matousek and Nesetril
- Combinatorics: Topics, Techniques, Algorithms by Cameron
- Linear Algebra Methods in Combinatorics by Babai and Frankl
- Algebraic Graph Theory by Chris Godsil and Gordon Royle
- Algebraic Combinatorics by Chris Godsil
- Thirty Three Miniatures by Jiřì Matoušek
- Extremal Combinatorics by Stasys Jukna
- Eigenvalue techniques in design and graph theory by W. H. Haemers (PhD thesis, 1979).
3. Polynomial Methods
- Polynomials in finite geometries and combinatorics by Aart Blokhuis
- Tools from higher algebra by Noga Alon
- The Jamison method in galois geometries by A. A. Bruen and J. C. Fisher
- Polynomials in Finite Geometries and The Polynomial Method in Galois Geometries by Simeon Ball
- Polynomials in finite geometries and Applications of Polynomials over Finite Fields by Peter Sziklai
- Discrete mathematics: methods and challenges by Noga Alon
- Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory by Terence Tao
- Incidence Theorems and Their Applications by Zeev Dvir
- Unexpected applications of polynomials in combinatorics and Polynomial Methods in Combinatorics by Larry Guth
- The Polynomial Method in Finite Geometry by Simeon Ball and Aart Blokhuis
- How to recognise that the polynomial method might work
- Important formulas in combinatorics
- Where have you used computer programming in your career as an (applied/pure) mathematician?
- Which math paper maximizes the ratio (importance)/(length)?
- Linear Algebra Proofs in Combinatorics?
- Too old for advanced mathematics?
- What are some active areas of research within combinatorics?
- What are some classic papers in mathematics?
- How do you solve the IMO’s 2007 Problem 6?
- Photography, in “Art in the Life of Mathematicians”, by Izabella Laba.
- The wrong way to treat child geniuses, by Jordan Ellenberg.
- One mathematics, by László Lovász.
- What is good mathematics? by Terence Tao.
- What is Combinatorics? (A collection of quotes by Igor Pak).
- Paul Erdos and the Probabilistic Method, by Noga Alon.
- The Many Lives of Lattice Theory, by Gian-Carlo Rota.
- The Many Names of (7, 3, 1), by Ezra Brown.
- A brief history of the classification of finite simple groups, by Ronald Solomon.
- A design dilemma solved minus designs, by Erica Klarreich.
- `Outsiders’ Crack 50-year-old Math Problem, by Erica Klarreich.
- Interview with Endre Szemerédi, by Martin Raussen and Christian Skau.
- On an early paper of Maryam Mirzakhani, by Bill Martin.
- Celebrating Sharadchandra Shrikhande, the Mathematician who disproved Euler, by Nithyanand Rao.
- How the upper bound conjecture was proved, by Richard P. Stanley.