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Stoyan Dimitrov
This page provides an incomplete and subjective collection of links related to my research interests.
Some quotes about Combinatorics can be found
here
(selection by
Igor Pak
). My favourite excerpts are
here
!
Some Combinatorics books and links that deserve to be more popular:
Enumerative Combinatorics:
The Art of Bijective Combinatorics
, online course by X. Viennot.
Bijective combinatorics
, 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.
Algebraic Combinatorics:
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.
Others:
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
].
Algorithms:
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):
Adriano Garsia
Alejandro Morales
Aloiz Panholzer
Alan Tucker
Alexander Diaz-Lopez
Alexander Postnikov
Alexandr Kostochka
Andrew Rechnitzer
Andrew Odlyzko
Arthur Benjamin
Benny Sudakov
Brendan McKay
Bridget Tenner
Bruce Sagan
Carl Wagner
Carla Savage
Catherine Yan
Chaim Even Zohar
Colin Defant
Dan Romik
David Callan
David Jackson
Dennis Stanton
Dhruv Mubayi
Dick Lipton
Dominique Foata
Doron Zeilberger
Douglas West
Dudley Stark
Einar Steingrímsson
Enrica Duchi
Eric Egge
Eric Fusy
Eyal Lubetzky
Ezra Miller
Fan Chung
Frank Ruskey
Federico Ardila
Felix Breuer
George Andrews
Gil Kalai
+
Combinatorics blog
Greta Panova
Gyula Katona
Henry Cohn
Ian Goulden
Igor Pak
Ilse Fischer
Ira Gessel
Isabella Novik
Jacques Verstraete
János Pach
Jaroslav Nesetril
Jeniffer Quinn
Joel Spencer
Jozsef Solymosi
Jim Haglund
James Propp
Jay Pantone
John Steimbridge
Kyle Peterson
Lara Pudwell
László Babai
László Lovász
Lauren Williams
Maria Gillespie
Marni Mishna
Mark Dukes
Mark Jerrum
Mark Noy
Mark Wilson
Matjaz Konvalinka
Mathilde Bouvel
Megan Martinez
Michael Krivelevich
Miahi Ciucu
Miklos Bona
Mireille Bousquet-Mélou
Nathan Williams
Natasha Morrison
Nicholas Loehr
Niraj Khare
Noga Alon
Olivier Bernardi
Olya Mandelshtam
Pamela Harris
Paul Seymour
Persi Diaconis
Peter Cameron
+
blog
Peter Hajnal
Peter Keevash
Peter Keevash
Peter Winkler
Presad Tetali
Rebecca Smith
Richard Stanley
Ricky Liu
Robert Proctor
Robin Pemantle
Ronald Graham
Ross Pinsky
Sara Billey
Sergei Fomin
Sergi Elizalde
Sergi Kitaev
Steve Butler
Svante Janson
Sylvie Corteel
Timothy Gowers
Valentin Ferray
Victor Reiner
Volker Strehl
Xavier Viennot
Yan Zhuang
Yuval Filmus
Yuval Roichman
Zoltan Furedi
(extended external list can be found
here
)