Wednesday, February 7, 2018

Partitions, Dyson, and Ramanujan - George Andrews

In 2013, Freeman Dyson celebrates his ninetieth birthday and also marks his sixtieth year as a Professor at the Institute for Advanced Study. Dreams of Earth and Sky, conceived by Dyson’s colleagues in the School of Natural Sciences, was an opportunity to provide a perspective on his work and impact across the sciences and humanities. Held on the Institute campus from September 27-28, the program featured a range of talks on mathematics, physics, astronomy, and public affairs that reflect both the diversity of Dyson’s interests and his ability to open new dialogues and inspire generations of scholars. https://video.ias.edu/dyson-dreams

Partitions, Dyson, and Ramanujan - George Andrews
Introduction by Peter Sarnak

Tuesday, September 19, 2017

Mathematicians...

“Mathematicians are finite, flawed beings who spend their lives trying to understand the infinite and perfect.” (Bruce Schechter, My Brain is Open: The Mathematical Journeys of Paul Erdős)

Friday, August 25, 2017

Lectures on Gravity

February 14 - 28, 2015 Winter School on Gravity and Light
Johannes Kepler University, Linz, Austria
100th anniversary of Einstein's theory of general relativity
Great set of YouTube video lectures - HERE

Plimpton 322


Mathematical mystery of ancient Babylonian clay tablet solved - PHYS.ORG - August 24, 2017 

Photo source: Plimpton 322, Babylonian tablet listing pythagorean triples - Wikimedia commons 

Sunday, August 20, 2017

Monday, April 17, 2017

Forthcoming experimental/computational number theory book: Sequential Experiments with Primes (Springer 2017 - by Mihai Caragiu)

Forthcoming book:
Sequential Experiments with Primes © 2017

http://www.springer.com/us/book/9783319567617

Presents experimental and computational number theory in a new and interesting context
Offers new mathematical ideas and problems involving prime numbers and related sequences
Perfect for graduate and advanced undergraduate students studying applied and computational number theory

Due: July 26, 2017
ISBN 978-3-319-56762-4

With a specific focus on the mathematical life in small undergraduate colleges, this book presents a variety of elementary number theory insights involving sequences largely built from prime numbers and contingent number-theoretic functions. Chapters include new mathematical ideas and open problems, some of which are proved in the text. Vector valued MGPF sequences, extensions of Conway’s Subprime Fibonacci sequences, and linear complexity of bit streams derived from GPF sequences are among the topics covered in this book. This book is perfect for the pure-mathematics-minded educator in a small undergraduate college as well as graduate students and advanced undergraduate students looking for a significant high-impact learning experience in mathematics.

Mihai Caragiu is a professor of mathematics at Ohio Northern University. He is the recipient of the 2010 Outstanding Teaching Faculty Award for the Department of Mathematics and Statistics.

Wednesday, November 2, 2016

The amazing Grothendieck's view on research...

I am not really doing research, just trying to cultivate myself.
Alexander Grothendieck (1928–2014)

Sunday, March 27, 2016

An amazing "prime conspiracy" discovered by Lemke Oliver and Soundararajan

QUANTA MAGAZINE / Number Theory
Mathematicians Discover Prime Conspiracy
A previously unnoticed property of prime numbers seems to violate a longstanding assumption about how they behave. 

Terrence Tao: Biases between consecutive primes 
https://terrytao.wordpress.com/2016/03/14/biases-between-consecutive-primes

Lemke Oliver and Soundararajan  ArXiv article
http://arxiv.org/abs/1603.03720