About me

I am an Integrated MSc. student at the National Institute of Science Education and Research(NISER) Bhubaneswar, India. Currently, I am pursuing a major degree in physics and a minor degree in mathematics; and have completed five semesters of the course.

Raised in the serene countryside of Kerala, my curiosity was sparked by the mathematical descriptions of natural phenomena. This curiosity grew into a deep respect for the various mathematical methods used to understand the world around us, guiding me on a path to becoming an aspiring theoretical physicist with a keen interest in unraveling the mysteries of the universe through mathematics.

Interests & Hobbies

  • Theoretical Physics

    Describing the beauty and complexity of the world around us.

  • Mathematics

    The most beautiful language I have ever learned, spoken and written.

  • Computational studies

    Making use of computational power to simulate theoretical models.

  • Cinema, Friends, Music

    Former for the joy, latter for the soul and the middle for the heart.

Project Guides

  • Daniel lewis

    Dr. Shovan Dutta

    Summer project 2024 at the theoretical physics division of Raman Research Institute(RRI), Bangalore on semi-classical quantization in open quantum systems.

  • Jessica miller

    Dr. Anisa Chorwadwala

    Winter project 2023 at the mathematics department of IISER Pune on isoperimetric problems.

  • Emily evans

    Dr. Anupam Pal Choudhury

    Summer project 2023 at the School of Mathematical Sciences, NISER, on planar systems of differential equations.

  • Henry william

    Dr. Sayantani Bhattacharyya

    Summer project 2023 at the School of Physical Sciences, NISER, on nonlinear dynamics and chaos theory.

Daniel lewis
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Daniel lewis

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Resume

Education

  1. Integrated MSc. (Major - Physics, Minor - Mathematics)

    2022 - Current date

    I am currently enrolled in the sixth semester of the Integrated MSc. programme at the National Institute of Science Education and Research (NISER), Bhubaneswar, India. I am having a CGPA of 9.75 at the end of five semesters.

  2. AISSCE

    2021-2022

    I have completed my higher secondary education from Citadel Residential School Ranni, Pathanamthitta, Kerala. I managed to secure a total of 99.2 % in the AISSCE examination, with the subjects - English, Physics, Chemistry, Mathematics and Biology.

  3. AISSE

    2019-2020

    I have completed my secondary education from Citadel Residential School Ranni, Pathanamthitta, Kerala. I managed to secure a total of 98.4 % in the AISSE examination, with the subjects - English, Malayalam, Mathematics, Science and Social Science.

Experience

  1. Summer Internship 2024 : Open Quantum Systems

    I have completed a summer internship at the theoretical physics division of Raman Research Institute(RRI), Bangalore under the supervision of Dr. Shovan Dutta. The project was on semi-classical quantization in open quantum systems.

  2. Dynamical Systems Project Group Supervisor

    Vikiran, the physics club of NISER, offered me the chance to lead a team of students exploring and applying concepts in dynamical systems.

  3. Winter Internship 2023 : isoperimetric Problems

    I have completed a winter internship at the mathematics department of IISER Pune under the supervision of Dr. Anisa Chorwadwala. The project was on shape optimization(isoperimetric) problems.

  4. Summer Internship 2023 : differential equations

    I have completed a summer internship at the School of Mathematical Sciences, NISER, under the supervision of Dr. Anupam Pal Choudhury. The project was on planar systems of differential equations.

  5. Summer Internship 2023 : Nonlinear dynamics and chaos

    I have completed a summer internship at the School of Physical Sciences, NISER, under the supervision of Dr. Sayantani Bhattacharyya. The project was on nonlinear dynamics and chaos theory.

Awards & Achievements

  1. Academic Achievements

    I received the following accolades for my academic excellence:
    • Achieved the highest CGPA in the batch of 2022 at the end of the academic year 2022-23
    • Achieved the highest CGPA among all Int. MSc students in the odd semester of 2023-24
    • Achieved the highest CGPA among all Int. MSc students in the even semester of 2023-24

  2. INSPIRE Scholarship

    Recipient of Innovation in Science Pursuit for Inspired Research (INSPIRE) Scholarship issued by Department of Science and Technology - Government of India.

  3. AISSCE

    District topper in All India Senior School Certificate Examination (AISSCE) 2022 with centum in physics and chemistry. Also, I received awards from Central Travancore Sahodaya Complex for subject topper in Physics, Chemistry and Mathematics in class 12 examination.

  4. Third position at Science Expo

    I had secured third position at the Science Expo 2019 held at the Department of Physics, Catholicate College, Pathanamthitta in collaboration with the International Society for Optics and Photonics Bellingham Washington USA.

My skills

  • Python
    95%
  • Mathematica
    90%
  • LaTeX
    90%
  • Linux
    80%

Languages

  • English
    100%
  • Malayalam
    100%
  • Hindi
    80%
  • Tamil
    70%

Contributions

TALK : Harmonizing Classical and Quantum Mechanics
A semi-classical approach to quantum systems

  1. Abstract

    Classical and quantum mechanics: so united in purpose, yet worlds apart in their formalism. While position-momentum phase space, poison brackets and Hamilton’s equations reign the realm of classical mechanics, the quantum domain is governed by Hilbert spaces, hermitian operators and Schrodinger equation. Initial attempts to bridge the gap are quickly thwarted by Heisenberg and his uncertainty principle, but let’s not give up just yet. In the talk, I will try to define the quantum counterparts of elements of classical mechanics using the language of Wigner-Weyl transform. I’ll aim to establish a robust semi-classical approach to quantum mechanics — one that isn’t just an approximation, but is actually exact! Along the way, expect some fun examples, fewer headaches, and a bit more harmony in the universe—or at least in our equations!

  2. Youtube Link

    Harmonizing Classical and Quantum Mechanics - Ashlin V Thomas - VIKIRAN Weekly Talk

  3. Slides of the talk

    Download Slides

PROJECT : Nonlinear Dynamics

  1. Abstract

    In this project, we will discuss the basics of nonlinear dynamics and will dive into the study of a nonlinear system - a population growth model involving different population interactions. Nonlinear dynamics involves the study of systems that are governed by equations that are not of the linear form - such as population dynamics, double pendulum, weather dynamics and fluid dynamics. We will begin our study with an analysis of first-order and linear systems, introducing the notion of fixed points and their stability and bifurcations and its different types. We will look into a few numerical methods to solve these systems and phase plane analysis. We will conclude by analyzing a second-order nonlinear system of two populations interacting with each other.

  2. Project Report

    Download Report

PROJECT : Google PageRank Algorithm

  1. Abstract

    The Google PageRank algorithm is a cornerstone of modern web search engines, providing a mechanism to rank web pages based on their link structure. This project explores the mathe- matical foundation of the algorithm, modeling the internet as a directed graph and employing concepts such as probability vectors and stochastic matrices. An iterative scheme is utilized to compute the PageRank vector, representing the steady-state distribution of web page ranks. The computational challenges of convergence and the scalability of the algorithm are addressed. A modification, the Random Surfer Algorithm, is also discussed, which simulates a user randomly clicking links and resolves issues like dead ends in the hyperlink matrix. Implementation re- sults using Python demonstrate the evolution and convergence of page ranks. The theoretical underpinnings, including the Perron-Frobenius theorem and eigenvector analysis, are validated through numerical experiments, showcasing the robustness and adaptability of the algorithm in handling complex web networks.

  2. Project Report

    Download Report

  3. Slides of the talk

    Download Slides

PROJECT : Automorphism Group of Symmetric Groups

  1. Abstract

    In the domain of group theory, one finds symmetric groups or permutation groups to be significant when it comes to understanding the symmetries and structure of mathematical objects, extending its applications to topology, combinatorics and cryptography. In this report, we will discuss about the group of automorphisms - structure-preserving maps - on symmetric groups and list a few important theorems.

  2. Project Report

    Download Report

PROJECT : The Splitwise Problem

  1. Abstract

    One evening, out of sheer boredom, I started pondering how the famous application Splitwise works. The concept is straightforward: you and your friends make numerous payments for each other, and at the end of the day, you want to settle all debts. What is the minimum number of transactions required to achieve this? Check out the report to find the answer.

  2. Project Report

    Download Report