Erdős' discrepancy problem - recently solved

Blog comment, collab help man attack old maths problem 
Phys.Org - September 26, 2015 by Nancy Owano 

The Erdos Discrepancy Problem - Terrence Tao - http://arxiv.org/abs/1509.05363

Maryam Mirzakhani - first woman to be awarded the Fields Medal - ICM 2014 Seoul

Maryam Mirzakhani - Iranian mathematician, full Professor of Mathematics at Stanford, first woman to be awarded the Fields Medal, at The International Congress of Mathematicians 2014 (Seoul, August 13-21)

"for her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces" - see presentation and video @  http://www.icm2014.org/en/awards/prizes/f4

An analogue of the Proth-Gilbreath conjecture (new paper)

O fenomenologie a numerelor prime - in gen fantasy cu demonstratii plus "experiment" (computer).

Far East Journal of Mathematical Sciences (FJMS)

Volume 81, Issue 1, Pages 1 - 12 (October 2013)
AN ANALOGUE OF THE PROTH-GILBREATH CONJECTURE 
Mihai Caragiu, Alexandru Zaharescu and Mohammad Zaki
Communicated by Juliusz Brzezinski

Fractals and partitions

A recent major breakthrough is announced here (Emory University's site, eScienceCommons). Looks like ultimately periodic sequences made the news. Also see here a recent article by Ken Ono (The Last Words of a Genius, Notices of the AMS Volume 57, Number 11, 1410-1419), and here a relevant abstract by John Webb (An improved “zoom rate” for the Folsom-Kent-Ono l-adic fractal behavior of partition values).

Image source.

A relevant video - Ken Ono talk (Emory University YT Channel):

http://youtu.be/aj4FozCSg8g
New Theories Reveal the Nature of Numbers