This page provides an incomplete and subjective collection of links related to my research interests.
Some quotes about Combinatorics can be found
). My favourite excerpts are
Some Combinatorics books and links that deserve to be more popular:
The Art of Bijective Combinatorics
, online course by X. Viennot.
, book by N. Loehr.
Proofs that Really Count: The Art of Combinatorial Proof
, book by A. Benjamin and J. Quinn.
[a sequel should appear soon]
Algebraic and geometric methods in enumerative combinatorics
, survey by F. Ardila.
Notes on Counting: An Introduction to Enumerative Combinatorics
, by P. J. Cameron.
Combinatorics: The Art of Counting
, book by B. Sagan.
Enumerative Combinatorics and Applications
, Journal Archive including interesting interviews.
Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra
book by J.Matoûsek.
The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions
book by B. Sagan.
Algebraic Combinatorics Walks, Trees, Tableaux, and More
book by R. Stanley.
Linear Algebra methods in Combinatorics
book by L. Babai and P. Frankl.
Invitation to Discrete Mathematics
book by J. Matousek, J. Nesetril.
Combinatorial Problems and Exercises
book by L.L ovâsz.
List of Combinatorics books
Probability, Statistics and Machine Learning:
Counterexamples in Probability
, book by J. Stoyanov.
Understanding Machine Learning
, book by S. Ben-David et al.
Machine Learning Video Library
, online courses by Y. Abu-Mostafa from Caltech.
Podcast on AI
, by Lex Fridman [with some very interesting guests]
Ten great ideas about chance
, great book by P. Diaconis and B. Skyrms
[see also my
blog post on the development of the concept for probability
The Analysis of Algorithms (AofA) conference
Relations and Oppositions - Mathematics, Data Analysis, Computer Science:
The Two Cultures of Mathematics
, T. Gowers.
Computer Science and Its Relation to Mathematics
, D. Knuth.
Statistical Modelling: The Two Cultures
, L. Breiman.
Data Mining and Statistics - What’s the connection
, J. Friedman.
Proofs helping to understand popular theorems:
Two Proofs of the Central Limit Theorem
, Y. Filmus.
The Combinatorialization of Linear Recurrences
, A. Benjamin et al.
Advices on math career:
Advices to young mathematicians
, T. Tao.
Advice for amateur mathematicians
, H. Cohn.
Some career advice for Postdocs and Grad Students
, K. Martin.
Get a job!
, S. Hurder.
Other interesting articles:
What is an answer?
, H. Wilf.
Complexity problems in Enumerative Combinatorics
, I. Pak.
Desperately seeking mathematical proof
, M. Nathanson.
Theories of Data Analysis: From Magical Thinking Through Classical Statistics
, P. Diaconis.
Statistical proof? The problem of irredproducibility
, S. Holmes.
Websites and blogs of some people in Combinatorics (mainly Enumerative):
Chaim Even Zohar
(extended external list can be found