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Ryan Williams

@rrwilliams.bsky.social

professor of EECS at MIT, currently visiting IAS. working in theoretical computer science namely algorithm design, complexity theory, circuit complexity, etc. i'll let you know when P != NP is proved (and when it's not)

1,388 Followers  |  176 Following  |  43 Posts  |  Joined: 04.03.2024  |  1.9939

Latest posts by rrwilliams.bsky.social on Bluesky

They are doing some construction on the blackboards in the usual classroom, this was the backup

24.09.2025 00:50 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0
Simulating Time With Square-Root Space (And With Details) - Ryan Williams
YouTube video by Institute for Advanced Study Simulating Time With Square-Root Space (And With Details) - Ryan Williams

Today at IAS, I gave a 2 hr 15 mins lecture on why TIME[t] is in SPACE[√(t log t)]. You can watch it here!
www.youtube.com/watch?v=ThLv...

23.09.2025 20:22 β€” πŸ‘ 37    πŸ” 7    πŸ’¬ 1    πŸ“Œ 0

A related anecdote: as a PhD student, I was assigned to be a teaching assistant for my advisor's cryptography course. When I asked Manuel how I should prepare for this, he replied:

"Read every paper that Adi Shamir has written."

I tried to follow this advice. At least I read the abstracts :)

25.08.2025 17:46 β€” πŸ‘ 20    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

Nowadays, I think that slightly biasing your reading priority towards the top conferences/venues in your area makes sense. But I still believe that attempting to read every abstract in your area is good advice.

25.08.2025 17:41 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

Adi Shamir's advice to young researchers:

1. Read, read, read. Back in the eighties, I read every cryptography paper out there. Once that became impossible, I read the abstract of every paper. Now I read at least every title.

26.03.2025 11:24 β€” πŸ‘ 16    πŸ” 4    πŸ’¬ 2    πŸ“Œ 1
Preview
Bobby Fischer Teaches Chess - Wikipedia

Is it Bobby Fischer Teaches Chess?
en.m.wikipedia.org/wiki/Bobby_F...
As a kid, I thought that was such a fun book.

17.08.2025 00:25 β€” πŸ‘ 4    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

πŸ’‘ For students, the yearly IEEE (or ACM) membership costs less than USD 20. And leads to a #FOCS2025 registration fee reduced by USD 80...

08.08.2025 00:43 β€” πŸ‘ 3    πŸ” 4    πŸ’¬ 1    πŸ“Œ 1
Preview
New Method Is the Fastest Way To Find the Best Routes | Quanta Magazine A canonical problem in computer science is to find the shortest route to every point in a network. A new approach beats the classic algorithm taught in textbooks.

This is very impressive. Breaking the sorting barrier for directed single source shortest paths
search.app/wnEUo

06.08.2025 17:33 β€” πŸ‘ 20    πŸ” 5    πŸ’¬ 1    πŸ“Œ 3

It's fun to publish something 20 years ago which refutes a recently published proof of P β‰  NP

05.08.2025 04:44 β€” πŸ‘ 53    πŸ” 5    πŸ’¬ 1    πŸ“Œ 0
Some thoughts on journals, refereeing, and the P vs NP problem A guest post by Eric Allender prompted by anΒ  (incorrect)Β PΒ β‰  NP proof Β  recently published Β in Springer Nature's Frontiers of Computer Scie...

Springer publishes a P β‰  NP "proof" and Eric Allender has words to say.

blog.computationalco...

04.08.2025 18:08 β€” πŸ‘ 43    πŸ” 15    πŸ’¬ 2    πŸ“Œ 5

Hirahara, Illango, and Loff posted on the arXiv a lovely result, showing that determining the communication complexity of a function f is NP-hard. A fundamental question first asked by Yao in '79. The proof is very clean and elegant. A fun read for the weekend!

arxiv.org/pdf/2507.104...

19.07.2025 11:28 β€” πŸ‘ 30    πŸ” 3    πŸ’¬ 0    πŸ“Œ 0

There is session 9C... But yeah not a lot of papers

26.06.2025 12:18 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

Spread the word: there is a new prize in Theoretical Computer Science in honor of Luca Trevisan--

cs.unibocconi.eu/call-nominat...

(Intent-to-nominate letters due by July 31.)

09.06.2025 12:46 β€” πŸ‘ 46    πŸ” 18    πŸ’¬ 1    πŸ“Œ 1
Computational Complexity Conference

CCC’25 will take place August 5-8 at the Fields Institute in Toronto! Students/postdocs (from any institution) are eligible to apply for a travel allowance. For full consideration, please apply by June 20; awards to be announced on June 25. www.computationalcomplexity.org/travelAllowa...

11.06.2025 21:03 β€” πŸ‘ 4    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

The 2025 GΓΆdel Prize is given to Eshan Chattopadhyay and David Zuckerman, β€œExplicit two-source extractors and resilient functions”.

Paper: doi.org/10.4007/anna...

Favorite Theorems Blog Post: blog.computationalco...

07.06.2025 22:59 β€” πŸ‘ 34    πŸ” 8    πŸ’¬ 0    πŸ“Œ 0

Yeah GP and I were arguing over this πŸ˜‚ Eventually he believed my side, and proved it true by induction. We wanted to check what ChatGPT thought...

04.05.2025 16:23 β€” πŸ‘ 0    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0
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ChatGPT 4o thinks 27 < 10

04.05.2025 15:47 β€” πŸ‘ 12    πŸ” 0    πŸ’¬ 1    πŸ“Œ 0

One strange thing about writing is that the harder you work, the easier many people think it was to do

25.04.2025 04:47 β€” πŸ‘ 50    πŸ” 2    πŸ’¬ 3    πŸ“Œ 0

The link for Ryan Williams' talk (@rrwilliams.bsky.social) is now available on our website.

See you tomorrow, 1pm ET! www.tcsplus.org/welcome/next...

23.04.2025 00:24 β€” πŸ‘ 6    πŸ” 2    πŸ’¬ 0    πŸ“Œ 0

Ryan's talk is this Wednesday!

forms.gle/fZa3ATXC7n14...

21.04.2025 09:01 β€” πŸ‘ 8    πŸ” 4    πŸ’¬ 0    πŸ“Œ 0

If you take a photo of your whiteboard with the camscanner app, it will also do this

11.04.2025 00:08 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0
theory day website

theory day website

NY Theory Day is returning on Friday April 11 at Columbia! It's free to attend but you have to register on the website by April 4. We have a great speaker lineup:

Rachel Cummings (Columbia)
Bill Kuszmaul (CMU)
Nick Spooner (Cornell)
Ryan Williams (MIT)

sites.google.com/view/nyctheo...

23.03.2025 21:31 β€” πŸ‘ 15    πŸ” 4    πŸ’¬ 0    πŸ“Œ 0

Cool. Just taught Rice's theorem yesterday!

02.04.2025 12:31 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

I can say for sure that this result has totally broken my intuition about what are "reasonable" time-space tradeoff lower bounds that we can assume for time-bounded computation!

01.04.2025 11:08 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

πŸ‘€ ...

06.03.2025 01:36 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0
Post image

when my family asks me about the impact of my research

04.03.2025 17:34 β€” πŸ‘ 50    πŸ” 13    πŸ’¬ 1    πŸ“Œ 1

Well, linear programming is P complete (e.g., it can efficiently implement circuit evaluation), and the current wisdom is that such problems should not be in n^{eps} space for all eps > 0...

03.03.2025 21:21 β€” πŸ‘ 2    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0

If this problem is in n^{0.99} space, then the simulation of time in small space can be improved beyond a square root

03.03.2025 16:30 β€” πŸ‘ 1    πŸ” 0    πŸ’¬ 0    πŸ“Œ 0
Easiness Amplification and Uniform Circuit Lower Bounds

I would have said the Circuit Evaluation problem, but now we know better ... :)

A "conplete" problem for n^2 time would be something like "General Circuit n-Composition" problem defined in the paper
drops.dagstuhl.de/entities/doc...

03.03.2025 16:29 β€” πŸ‘ 2    πŸ” 1    πŸ’¬ 1    πŸ“Œ 0
ACM SIGACT - Knuth Prize

Please nominate candidates to the πŸ† Knuth Prize, to be awarded this year during #STOC2025!

The prize recognizes "major research accomplishments and contributions to the foundations of Computer Science over an extended period of time."

⏰ Deadline: March 31

www.sigact.org/prizes/knuth... #TCSSky

02.03.2025 01:37 β€” πŸ‘ 10    πŸ” 5    πŸ’¬ 0    πŸ“Œ 1

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