
Recent Posts
Archives
 August 2021 (1)
 March 2021 (2)
 November 2020 (1)
 October 2020 (1)
 September 2020 (3)
 August 2020 (2)
 January 2020 (2)
 December 2019 (1)
 September 2019 (1)
 July 2019 (1)
 May 2019 (1)
 September 2018 (1)
 April 2018 (1)
 March 2018 (1)
 November 2017 (2)
 August 2017 (2)
 July 2017 (1)
 April 2017 (2)
 September 2016 (1)
 July 2016 (1)
 May 2016 (2)
 December 2015 (1)
 October 2015 (1)
 August 2015 (2)
 June 2015 (1)
 May 2015 (1)
 April 2015 (1)
 March 2015 (4)
 January 2015 (1)
 September 2014 (3)
 August 2014 (1)
 July 2012 (3)
Categories
 Coding Theory (2)
 Combinatorics (38)
 Extremal Combinatorics (18)
 Ramsey Theory (7)
 Spectral Graph Theory (6)
 Conferences (1)
 Finite Geometry (28)
 Incidence Geometry (13)
 Job openings (1)
 Number Theory (1)
 Polynomial Method (15)
 Real Analysis (1)
 References (1)
 Research Diary (1)
 Uncategorized (2)
Blogs I Follow
 I Can't Believe It's Not Random!
 Random Permutations
 What's new
 Manu S Pillai
 cgroenland.wordpress.com/
 Radimentary
 Cosmin Pohoata
 Sleepless in Seattle
 Bloag
 Jagriti is professoring
 Math3ma
 Aparajita's blog
 The Intrepid Mathematician
 Ratio Bound – A Combinatorics Blog
 all the women
 ellipticnews
 Becoming My Better Self
 Points And Lines
 Some Plane Truths
 Gentzen translated
 E. Kowalski's blog
 Quomodocumque
 Short, Fat Matrices
 Combinatorics and more
 Yufei Zhao
 Abhishek Khetan
 urduwallahs
 Gaurish4Math
 Jerusalem Combinatorics Seminar
 Personal Blog
Author Archives: Anurag Bishnoi
A short video on Ramsey numbers
I was recently involved in making a 1 minute maths video for a contest organised by Veritasium. Here is the main requirement for the video We are looking for videos that clearly and creatively explain complex or counterintuitive concepts in … Continue reading
Posted in Combinatorics, Ramsey Theory
Tagged combinatorics, extremal problems, ramsey, ramsey numbers, Veritasium, Youtube
Leave a comment
A postdoc position at TU Delft
I would like to advertise a 3 year postdoc position at my research group. Please apply if you are interested in the kind of research that Dion and I do (https://anuragbishnoi.wordpress.com/publications/). The deadline is April 15 2021. Here are some … Continue reading
A coding theoretic application of the AlonFüredi theorem
The AlonFüredi theorem is something that I have written a lot about in this blog. I spent a considerable amount of time on this theorem during my PhD. In fact, it’s generalisation that I obtained and it’s applications in finite … Continue reading
Bilinear forms and diagonal Ramsey numbers
The recent breakthrough of Conlon and Ferber has shown us that algebraic methods can be used in combination with probabilistic methods to improve bounds on multicolour diagonal Ramsey numbers. This was already shown for the offdiagonal Ramsey numbers by Mubayi … Continue reading
Covering the binary hypercube
A finite grid is a set , where is a field and each is a finite subset of . The minimum number of hyperplanes required to cover can easily be shown to be , with the hyperplanes defined by , … Continue reading
Improved lower bounds for multicolour diagonal Ramsey numbers
Big news in combinatorics today: David Conlon and Asaf Ferber have posted a 4page preprint on arXiv that gives exponential improvements in the lower bounds on multicolour diagonal Ramsey numbers, when the number of colours is at least (also see … Continue reading
The dual version of Ryser’s conjecture
I talked about our new results related to Ryser’s conjecture in a previous post (also see an even earlier post). The conjecture, and its variants, have some interesting equivalent formulations in terms of edge colourings of graphs. While I was … Continue reading
Heisenberg groups, irreducible cubics and minimal Ramsey
As I mentioned in a previous post, we recently improved the upper bound on a Ramsey parameter, in collaboration with John Bamberg and Thomas Lesgourgues. My favourite thing about this work is how it ends up using the properties of … Continue reading
Generalized polygons in extremal combinatorics
Jacques Tits invented generalized polygons to give a geometrical interpretation of the exceptional groups of Lie type. The prototype of these incidence geometries already appears in his 1956 paper, while they are axiomatically defined in his influential 1959 paper on … Continue reading
Posted in Combinatorics, Extremal Combinatorics, Finite Geometry, Incidence Geometry, Ramsey Theory, Uncategorized
Tagged extremal problems, generalized polygons, generalized quadrangles, Graph Theory, hypergraphs, John Bamberg, ramsey, ramsey numbers, research, Thomas Lesgourgues, turan problems
Leave a comment
Minimal Ramsey problems
Thanks to Anita Liebenau, I have recently been introduced to some very interesting questions in Ramsey theory and I have been working on them for the past few months in collaboration with various people. In my recent joint work with … Continue reading