#### INTEGRATED BS-MS DUAL DEGREE - Math major

##### INDIAN INSTITUTE OF SCIENCE EDUCATION RESEARCH (IISER) , KOLKATA

- 8.4/10 CGPA at the end of the fourth years.
- Currently pursuing the 9th semester, with Math as the major subject.

- Nadia, WB
- 09975224519
- [email protected]

Room No C-311 , NETAJI SUBHAS CHANDRA BOSE HALL,

MAIN CAMPUS, IISER KOLKATA

MOHANPUR, PIN:741246

NADIA, West Bengal, INDIA.

- 8.4/10 CGPA at the end of the fourth years.
- Currently pursuing the 9th semester, with Math as the major subject.

First I started with studying Markov Chain and Application of Discrete Markov Chain in time series analysis. In order to gain further insight I also studied Hidden Markov Chain and understood how they used in speech recognition.

Started working with Prof. Abhyuday Mandal, Department of Statistics, the University of Georgia on the topic " Design of Discrete Choice Experiments ." I started my work by studying the book named "Linear Models with R" by Julian Faraway. While working on this project, I was very fascinated by the techniques of multiple linear and non-linear regressions with their applications to various real-life problems. For gaining more insight about it, I studied two courses Prof. Mandal offers at the University of Georgia on Applied Linear Models and Design and Analysis of Experiments and how these experiments are analyzed in R. I learned about basic concepts in design of experiments including randomization, replication and blocking, analysis of covariance, and also advanced designs like orthogonal arrays and fractional factorial experiments.

In this seminar, I studied the application of regression and fraction factorial designs. I tried to study how good designs for fraction factorial can be identified for different models used to describe dataset with the help of regression analysis and how optimal designs are identified in different real-life situations.

In this seminar, I studied crossover designs and some optimality criterions. In which I studied different models of crossover designs for normally distributed data along with an understanding of how period and subject effects are incorporated in those models depending upon the type and availability of data. Also, studied D-, A-, E- optimality criterion which helped me to understand how optimal crossover designs are identified.

Currently, working under Prof. Abhyuday Mandal, on the topic " Crossover Designs and its Optimization". We are trying to explore Crossover designs using the Generalized Linear Model. As a part of my master's dissertation, I am investigating how optimal crossover designs can be identified for response data which are not precisely normal but belongs to a certain exponential family. We then plan to extend our research to incorporate random subject effects in our present model and find optimal crossover design that minimizes the variance matrix of parameters which is calculated with help of generalized estimating equation.

**MATHEMATICS :**

- Linear algebra (ref Lang and Axler)
- Real analysis (ref Rudin)
- Statistics and Probability (ref. Hoel-Port-Stone, S.Ross)
- Foundations (set theory, the theory of equations etc.)
- Algebra Group Theory (ref Artin M - Algebra)
- Graph Theory and Combinatorics (ref Ainger M, Douglas West - Introduction to Graph Theory)
- Number Theory ( ref Burton )
- Topology (ref Simmons - Introduction to Topology and Modern Analysis)
- The geometry of Curves and Surfaces (ref S. Montiel, and A. Ros - Curves and Surfaces)
- Algebra Ring Theory (ref Musil - Introduction to Rings and Modules, M.Artin - Algebra)
- Statistical Economics
- Data Structure
- Functional and Complex Analysis (ref Rudin - Functional Analysis, Rudin - Real and Complex Analysis, Lang - Complex Analysis )
- Measure Theory (ref G. B. Folland - Real Analysis: Modern Techniques and Their Applications, Evans and Gariepy - Measure Theory and Fine Properties of Functions)
- Fourier Analysis (ref Y. Katznelson - An Introduction to Harmonic Analysis)
- Ordinary and Partial Differential Equations (ref Evans - Partial Differential Equations)
- Algebraic Topology and Differential Geometry (ref Munkres - Elements of Algebraic Topology, A. Mukherjee - Topics in Differential Topology, L. W. Tu - An Introduction to Manifolds)
- Mathematical Statistics I (Multinomial and multivariate hypergeometric distributions, the normal approximation to binomial; bivariate normal distribution; distribution of functions of random variables; distribution of sample correlation coefficient when a population correlation is zero; large sample distributions of sample quantiles; variance stabilizing transformation; chi-square, t and F distributions,chi-square goodness-of-fit test, frequency chi-square and its use in testing of hypothesis, distribution of multiple and partial correlation coefficients; multicollinearity, heteroscedasticity and autocorrelation in connection with multiple regression.)
- Time Series Analysis (ref Brockwell and Davis - Introduction to time series and forecasting. Introduction to stationary processes and ARMA Models, Multivariate time series and State space models.)

- State level soccer player(Maharashtra, India).
- National Bronze in Taekwondo.
- Student committee head of Inter IISER Sports Meet (IISM) 2016.

- Student Academic Council General Secretary for Games and Sports, IISER Kolkata (2015-2016 academic year)
- Various gold and silver medals in football and Kho-Kho in IISM 2014,2015 and 2016
- Hobbies – Reading, Writing, Debates, Sports.

**Prof. Abhyuday Mandal,**Professor, Department of Statistics, University of Georgia, USA, [email protected]**Dr. Saugata Bandyopadhyay,**Associate Professor, Department of Mathematics and Statistics, IISER-Kolkata, India, [email protected]**Prof. Asok Kumar Nanda,**Professor, Department of Mathematics and Statistics, IISERKolkata, India, [email protected]

I am an enthusiastic budding mathematician, curious and straightforward. I am always looking for opportunities to learn and acquire knowledge about new and different things. So far, I have mainly been concentrating on developing the right kind of skills and theoretical background. I believe that is important in order to do perform better during my graduate studies and to do something worthwhile in science. Given that time and proper guidance, I am certain that I wouldn't be a disappointment at the end of it.

Thanks and regards.