Ekansh

Ekansh (born August 3, 1992) is a young Indian mathematician at University of Cambridge. His research interests span additive number theory, arithmetic functions and p-adic function.
Biography
Ekansh is the son of a school teachers, his father is Kamlesh Tiwari, a teacher in an Indian high school of Hindi subject, his mother is a teacher of Sanskrit, an ancient Indian language in an Indian school. Ekansh grew up in a north-eastern territory of Bihar (ancient Patliputra), India. From beginning Ekansh attended the English school, his junior schooling was very bright, but when it came to the High School, his interest began in several segments, one of the segment was Computer Science. While attending the school, Ekansh was a bright fan of Bill Gates and the way the computer programs are designed and developed. His interest at that time nurtured in Java, a computer programming language. His mentor was Vijay Kumar, one of his school teacher. Ekansh began programming at a very young age, and due to the huge interest in the computer programming, he was sacrificing a lot for the other subjects. He used to neglect the studies for programming, he also started bunk the school class for the sake of his interest. At such an earlier age, he was a firm believer of making a business of a software company, he shared his thought to his mentor Vijay Kumar, and also designed some software for the common businesses, which he was planning to sell. His programming skill was fine tuned with his abilities and determination. He also liked Mathematics a lot, later on Ekansh on the recommendation of his parents went on to study for the preparation of common entrance examinations for entry in Indian prestigious engineering colleges, while preparing, he allowed his interest to grow in the field of Physics and Mathematics.
At the time of his senior school, he started taking keen interest in Mathematics and devoted the time to solve mathematics for more than half a day. He started learning Number Theory and in a short time, studied many books on advanced topics like Ramanujan Lost Notebooks, Hardy book on Number Theory and many such advanced books.
He completed his course of senior school and after that went ahead for his research work in Mathematics.
Mathematical career
Ekansh's work on Odd perfect number conjecture proved to be correct. His mathematical work started gaining maturity at an age of 17 years. While attending his senior schools, he started learning Number Theory and soon devoted all his time on Mathematics leaving behind Physics and Chemistry. Though he was associated partially with Physics due to Mathematics, but he looses the entire interest in Chemistry. Ekansh found a friend Gaurav Sharma, and both started woring on Mathematics and Number Theory. Soon, Ekansh picked a problem, Odd perfect number conjecture that is rooted back around 300 BCE. The problem initially proposed by Euclid.
Ekansh's research was on the paper, Odd perfect, and he sent his papers to John Coates, a mathematician at University of Cambridge requesting him to review the paper. Later on, John Coates positively replied and suggested more to work on the problem. Later on, for his work on the problem, Odd perfect, Infinite Triangle research paper co-author by Gaurav Sharma, and some more mathematical works, Ekansh was selected for the fellowship in mathematics at Trinity College, University of Cambridge.
The proof of odd perfect number conjecture
Working in the summer of 2009, Ekansh realized that his mathematical ability can lead to the solution of the problem Odd perfect number. Before starting his serious work on the problem, he studied and researched on several subjects that fall under Number Theory, learning Algebra, Complex Numbers, Calculus. He started studying the history of the problem and worked on many previously research papers by several mathematician. Continously he moved ahead with a lot of patience and in a complete darkness, here darkness must not compared with secrecy, but darkness is an indication of an isolation. Despite of enough mathemaical knowledge and training, he succeeded in finding many step-solutions of the problem, but his attention was not to publish any papers in any mathemaica journals. His motto was to use the step-solutions to work for the final solution of the problem. He widely searched the matter on world wide web and gathered related information and papers on the subject and used them as a tool for the development of the formal solution of the problem.
It tooks more than a year, to finally get the formal solution of the Od perfect number problem. He widely used techniques and properties of arithmetic functions. Finally, the proof was sent for the publication to the Journal in November 2010.
Contributions
Ekansh has writen many mathematical papers and generalized the Fermat's last theorem for the case n = 4k + 3, and n = 9k + 1. The most important contribution of his work is on the unsolved problems in number theory. His research includes contributions in the field of arithmetic functions, p-adic function, modular forms, rings and fields, perfect number. A short ist of his mathematical contributions are:
* The arithmetic-quadratic twenty three form of Erdos-Strauss conjecture
* Proof of the Odd perfect number conjecture, Oldest unsolved problem in history of mathematics.
* The three form of redution of Egyptian fraction
* Cryptography and Mersenne Primes
* The reduce reciprocal form of an even perfect number
* The study of p-adic function and its generalization
* The proof of q-adic function for a singular quadratic residue

Awards and honours
Ekansh is the first youngest mathematician in the world to resolve any mathematical conjecture. He is also first Indian to give the correct solution of any mathematical conjecture. He is also the first mathematician of India who at the age of 18 went on to publish the outstanding and advanced research paper in mathematics.
Ekansh has been awarded AMU Prize in Number Theory for his great contribution in the year 2010, but the award was rejected by Ekansh. Ekansh received the youngest honour by University of Cambridge to attend the university as the research fellow.
Ekansh also got invitation in 2011 from the Director of Indian Institute of Advanced Studies, Shimla to join the institute as a Visiting Research Scholar to study and work on Indian science and logic. He also received Invitation from University of Glasgow to attend the department as a Research Scholar and to work on pure mathematics.
He is also working on a mathematical physics project for the government of India.
Ekansh has been a content writer of Mathematics Section, Research Horizon Magazine, a publication of University of Cambridge. He also writes for some journals and newspapers. Ekansh is a member of the Researchers Club of Trinity College. In the fall of 2010, Ekansh began reviewing the journals of Acta Mathematics. His referee report was counted as one of the most trused report.
Extra activities
Ekansh is presently associated with a group, formed by himself and some youths, Inspiration, for the work on the advancement in the culture of Science.

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