# School for Gifted @Cheenta

**Research**

**program**for gifted school and college students.

*Gifted = above average, consistent, interest in mathematical science*

## We have a dream…

1000 research groups. 300 Mathematics Cafes. By 2021.#### WHY?

Advanced school students often want to do research. A publication or research project, significantly improves the chances of getting into leading universities around the world. More importantly, research oriented program can transform the way a child learns: instead of hunting for answers, they begin to enjoy the questions.

#### How it works

A student is hooked up with an active researcher and research group.

- Student meets the researcher in one-on-one session every week (30 to 45 minutes long)
- They fix a specific (unsolved) problem on which the student may work in the subsequent months.
- The student meets other research group members in weekly group sessions to acquire necessary tools to solve the problem.

#### The Philosophy

Technology in 21st century can connect researchers with learners very easily and in a decentralized manner. Cheenta Research Track hopes to make best use of that and disrupt the research atmosphere in pre-college education ecosystem. Most importantly this may be departure from the regular ‘school’ system that evolved during industrial revolution

# Active research groups

*Stability point – Bifurcation Theory*

Arithmetic dynamics is a field that amalgamates two areas of mathematics, discrete dynamical systems and number theory. Classically, discrete dynamics refers to the study of the iteration of self-maps of the complex plane or real line.

### Group Leader

Arnab Dey Sarkar, (Pursuing Ph.D. in Arithmetic Dynamics at St. Louis University, USA).

*Understand Chaos, past, present and future*

The qualitative theory of Dynamical systems began with Poincaré’s work on the three-body problem. It came from the realization that certain differential equations cannot be solved to a high degree of accuracy even by computers.

### Group Leader

Sankhadip Chakraborty, (Pursuing Ph.D. in Dynamical Systems at Instituto de Matemática Pura e Aplicada, Brazil).

*Graphs, Groups, and Geometry*

Graphs have vertices and edges. Sometimes they do not have cycles. Then they are called trees. If we let a group *act*on such a tree

*geometrically*then interesting information can be found about the group.

### Group Leader

Ashani Dasgupta (Pursuing Ph.D. in Geometric Group Theory at University of Wisconsin Milwaukee)

*Machine Learning*

### Group Leader

Dr. Prabir Dasgupta, (Ph.D., IIT Kharagpur).

# how to join?

## Are you a researcher?

You might be eligible to lead a research group at Cheenta. The entire program is online (so your location won’t matter).