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:

##### Probability, Statistics and Machine Learning:

##### Algorithms:

##### Relations and Oppositions - Mathematics, Data Analysis, Computer Science:

##### Proofs helping to understand popular theorems:

##### Advices on math career:

##### Other interesting articles:

##### 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)

Some quotes about Combinatorics can be found here (selection by Igor Pak). My favourite excerpts are here!

- 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

- 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 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 - Whatâ€™s the connection, J. Friedman.

- Two Proofs of the Central Limit Theorem, Y. Filmus.
- The Combinatorialization of Linear Recurrences, A. Benjamin et al.

- 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.

- 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.

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