email: rsrinivasan.anitha AT gmail.com
I like to think about conjectures (in Number Theory), specially to see whether some simple aspects have been overlooked. For example, the fascinating Markoff conjecture, that celebrated its centenary in the year 2013. To know more about this conjecture see the highlighted articles below, where you can find an elementary proof of the conjecture in the prime power case that can be understood by even a non-mathematician (who knows what a gcd, greatest common divisor is). A few of the other conjectures that interest me are the Hall's conjecture, the Erdos-Strauss conjecture and the Jesmanowicz conjecture.