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From Computational Complexity
#### Favorite Theorems: Algebraic Circuits

Most of my favorite theorems tell us something new about the world of complexity. But let's not forget the greatest technical challenges in our area: proving separations...

From Computational Complexity
#### The Godzilla Moment

On the plane earlier this week I got around to watching the Academy Award winning movie Godzilla Minus One, one of the best monster movies I've seen set in Japan...

From Computational Complexity
#### Double Digit Delights

It started with a post from Fermat's Library.
132 is the sum of all the 2-digit numbers made from its digits. It is the smallest such number. pic.twitter.com/hrByAXbr51...

From Computational Complexity
#### Peer Review

Daniel Lemire wrote a blog post Peer Review is Not the Gold Standard in Science. I wonder who was claiming it was. There is whole section of an online Responsible...

From Computational Complexity
#### Jim Simons (1938-2024)

Jim Simons passed away Friday at the age of 86. In short he was a math professor who quit to use math to make money before it was fashionable and used part of his...

From Computational Complexity
#### Favorite Theorems: Dichotomy

A constraint satisfaction problem has a group of constraints applied to a set of variables and we want to know if there is a setting of the variables that makeA...

From Computational Complexity
#### Our Obsession with Proofs

Bullinger's post on this blog last week focused on Vijay Vazirani's public obsession of finding a proof for the 1980 Micali-Vazirani matching algorithm. But why...

From Computational Complexity
#### Is Persistence an Anachronism?

Guest post by Martin BullingerVery recently, Vijay Vazirani's paper A Theory of Alternating Paths and Blossoms, from the Perspective of Minimum Length got accepted...

From Computational Complexity
#### Favorite Theorems: Quantum Provers

For our next favorite theorem, we look at the surprising power of provers who share entangled bits. If you can prove something to an arbitrarily computable verifier...

From Computational Complexity
#### Avi wins the Turing Award

The ACM announced that Avi Wigderson, a force in computational complexity and beyond, will receive the 2023 A. M. Turing Award (Quanta article). This is the first...

From Computational Complexity
#### The Softening of Computing Jobs: Blip or Trend?

Tech companies are performing exceptionally well, driving the S&P 500 to new heights with their soaring stock prices. However, the tech sector, apart from AI, expects...

From Computational Complexity
#### Can you feel the machine?

In the recent academy award winning movie Oppenheimer, Niels Bohr tests a young Oppenheimer.
Bohr: Algebra's like sheet music, the important thing isn't canOppenheimer...

From Computational Complexity
#### Translation in Context

La Scala in Milan
Google translate generally impresses but consider this translation from a short Italian news article. I boldfaced a few items.
Not scheduled...

From Computational Complexity
#### Favorite Theorems: Sensitivity

Our next favorite theorem gave a relatively simple proof of the sensitivity conjecture, a long-standing problem of Boolean functions.Induced subgraphs of hypercubes...

From Computational Complexity
#### A Quantum State

Illinois' most famous citizen working on a quantum computer
The governor of Illinois, JB Pritzker, unveiled his budget last week including $500 million for quantum...

From Computational Complexity
#### Sumchecks and Snarks

Last summer as I lamented that my research didn't have real world implications, one of the comments mentioned the sumcheck protocol used for zero-knowledge SNARKs...

From Computational Complexity
#### Focusing on the Outcomes

An academic field often organizes itself pulling ideas from its own field. For example, students on the economics faculty job search can signal at most two schools...

From Computational Complexity
#### Favorite Theorems: Graph Isomorphism

We start our favorite theorems of the last decade with a blockbuster improvement in a long-standing problem. Graph Isomorphism in Quasipolynomial Time by László...

From Computational Complexity
#### University Challenges

Seems like US universities have been in the news quite a bit recently. You'd think for the great academics and research. Alas, no.I decided to make a list of the...

From Computational Complexity
#### Learning Complexity on Your Own

The following request came from a comment earlier this month (shortened)
Could you give some advice on how to study complexity theory on one's own, and/or to follow...