Pseudorandomness of the Mobius function - Peter Sarnak

 

Memories - a beautiful campus and an abstract - 27 years ago

I vividly remember that talk. 

People were great! Added bonus: the campus and the nature were amazing. 

I could recover my abstract from https://scholarworks.umt.edu/mathcolloquia/7/

 

So... about 27 years years ago:

 

Presentation Date 10-23-1997 

Abstract A classical problem considered by Davenport asks for the number of occurrences of a certain pattern of quadratic residues and nonresidues among the set of integers modulo a prime p. We will take this problem as a starting point of an itinerary revealing the interplay between quasirandom structures over finite fields, definable subsets of finite fields, character sums and coding theory. 

Additional Details Thursday, October 23, 1997 4:10 p.m. in MA 109 Coffee/Tea/Treats 3:30 p.m. in MA 104 (Lounge)

The eternal paradox of neuroscience

"If the human brain were so simple that we could understand it, we would be so simple that we couldn't."

Emerson Pugh

Pictured: Cross-section of a human head, showing location of the hypothalamus (source)

Kenneth A. Ribet, "A 2020 View of Fermat's Last Theorem"

 

Are these the same proof?

In his blog, Timothy Gowers presents two proofs of the fact that the product of k consecutive positive integers is a multiple of k! and asks  

"whether there is some sophisticated perspective from which it is possible to regard them as sort of the same". 

There are many interesting answers from the readers, among them being Terence Tao.

My book among the best 20 prime numbers books of all time (10/10/2024)

As of October 10, I noticed that Sequential Experiments with Primes is ranked 6th in the list of best 20 prime numbers books of all time (maintained by bookauthority - here). 

The evaluations in the rubrics New Mathematical Ideas and High Impact Learning make me happy because these were the primary objectives and the spirit in which I wrote the book.

Earl Llhamon at the Schoonover Observatory 60th Anniversary Dinner

 

Earl will soon turn 90! 

It was an extraordinary event. 

Lima Astronomical Society 

October 11, 2024

https://limaastro.com/

Electric Light Orchestra - Shangri La

 

1 proton per 4 cubic meters...

"More than 95% of the energy density in the universe is in a form that has never been directly detected in the laboratory! The actual density of atoms is equivalent to roughly 1 proton per 4 cubic meters."

Source: WMAP- Content of the Universe - NASA https://wmap.gsfc.nasa.gov/universe/uni_matter.html

Image - CMB Timeline300 no WMAP.jpg

Be grateful for the complex life on Earth...

September wonders

 

My office ficus

 

A particular bee