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From Computational Complexity

Favorite Theorems: The Complete List

Now in one place all of my sixty favorite theorems from the six decades of computational complexity (1965-2024).2015-2024 Graph Isomorphism (Babai) Sensitivity...

From Computational Complexity

We Will All Write Like AI

Will our writing all converge to a generic AI style? Let's take a quick detour into LaTeX. Back in the late '80s, before LaTeX was the standard, there was TeX—a...

From Computational Complexity

Favorite Theorems: Learning from Natural Proofs

October EditionI had a tough choice for my final favorite theorem from the decade 2015-2024. Runners up include Pseudodeterministic Primes and Hardness of Partial...

From Computational Complexity

Steven Rudich (1961-2024)

Complexity theorist Steven Rudich passed away on October 29 at the age of 63. His works on Natural Proofs and Program Obfuscation were both highly influential.great...

From Computational Complexity

Higher Education Under Trump

It feels eerie as pretty much everyone seemingly avoided talking about the election. But Trump back in the White House will likely have a profound effect on USonce...

From Computational Complexity

FOCS 2024

Junior/Senior lunch in 80°F Chicago Last summer I attended the Complexity Conference in Ann Arbor for the first time in eight years largely because it was within...

From Computational Complexity

Family Feud vs Pointless

Every now and then I feel like doing a Gasarchian post. This is one of those weeks. I'm going to look at the mathematics behind the American game show Family Feud...

From Computational Complexity

Computing and the Nobels

Herb Simon Herbert Simon while a political scientist in the 1940s at my institution, the Illinois Institute of Technology, developed the theory of bounded rationality...

From Computational Complexity

Fall Jobs Post 2024

In the fall, I write a jobs post predicting the upcoming CS faculty job market and giving suggestions and links. In the spring I used to crowdsource a list of where...

From Computational Complexity

Favorite Theorems: Gradient Descent

September EditionWho thought the algorithm behind machine learning would have cool complexity implications?The Complexity of Gradient Descent: CLS = PPAD ∩ PLSJohn...

From Computational Complexity

LeetCode and AI

I often do LeetCode problems for fun. This site mainly provides short coding problems for students and others to train for the kinds of question that come up in...

From Computational Complexity

Embracing the Future of Manufacturing

Last week I walked around the International Manufacturing Technology Show with 89,000 other participants at the McCormick Center in Chicago. I went to see how AI...

From Computational Complexity

Natural Proofs is Not the Barrier You Think It Is

If there's a position where I differ from most other complexity theorists it's that I don't believe that natural proofs present a significant barrier to proving...

From Computational Complexity

Favorite Theorems: Parity Games

August EditionA quasipolynomial-time algorithm for a long standing open problem. Yes, we have two of them this decade.Deciding Parity Games in Quasi-polynomialCristian...

From Computational Complexity

My Quantum Summer

Rendering of PsiQuantum's facility in Chicago I wasn't looking for quantum this summer but it found me. At various events I ran into some of the most recognized...

From Computational Complexity

The Levin Translation

Earlier this summer I attended a Celebration for Leonid Levin who recently turned 75. To prepare my talk I wanted to go back to Levin's 1971 two-page Russian masterpiece...

From Computational Complexity

Favorite Theorems: Random Oracles

July EditionThis months favorite theorem is a circuit result that implies the polynomial-time hierarchy is infinite relative to a random oracle, answering an open...

From Computational Complexity

Complexity in Michigan

Invited Speaker Nutan Limaye, Conference Chair Valentine Kabanets,2024 PC Chair Rahul Santhanam, myself, 2025 PC Chair Srikanth Srinivasanand 2025 Local Arrangements...

From Computational Complexity

The Story of Shor's Algorithm

The quantum factoring algorithm of Peter Shor (FOCS 1994, SIAM Review 1999) turns thirty this year. Before his algorithm, quantum computing lacked the killer app...

From Computational Complexity

Favorite Theorems: Extracting Ramsey Graphs

June EditionTwo decades ago, I named the recently departed Luca Trevisan's paper connecting extractors to psuedorandom generators as one of my favorite theorems...
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