Summer of Science 2017

Summer of Science is an initiative by the Maths and Physics Club, to encourage, and help discover, the joy of learning. To know more, click here! and we will be posting the projects online soon, keep visiting!

Summer of Science Projects 2017

	Special Theory Of Relativity Time, mass change with observer? Well, let's go through the very famous theory of special relativity with Abhijit Garg and find out what unsolved ambiguities gave rise to radical but most logical thinking which gave this theory right here.
	How classical mechanics is linked to Quantum mechanics The counterintuitive concepts of quantum mechanics have revolutionised our understanding of reality. Is Quantum Mechanics really a completely abstract concept or is does it arise from things we have known all along? Abhisek Sahu attempts to find the relations between classical mechanics and Quantum mechanics here.
	Galactic Dynamics and Stellar Dynamics How do stars form ?, What governs the motion of stars ?, What types of orbits do they move in ?, How do galaxies and stars evolve over time ?, What are the phenomenons observed when galaxies and stars interact ?, all these and more questions have been studied and answered in this report by Aditya Konale.
	Basic Astronomy This report by Ajay Dangi gives a brief description about history of astronomy and the mathematics involved in astronomy.It also provides an introduction to calendars and star gazing for beginners.
	Group Theory In mathematics and abstract algebra, group theory studies the algebraic structures known as groups. Here Akhil Naik explores some concepts of a group theory which is central to abstract algebra.
	Quantum Mechanics Although quantum mechanics has been here for nearly a century, it is still not easily understood. Aniket Pawan Dubey endeavors to perceive it. Explore the basics of quantum mechanics here
	Deep learning techniques for face verification Face verification finds its applications in security systems and biometrics. Deep learning is used to determine the most characteristic facial features and classify the data. Anish Ram Senathi studies the neural network architectures used in this task.
	Mathmatical Finance The field of finance can prove to be quite difficult to comprehend, but use of mathematical and computational models can make the analysis simpler. How can mathematics help uncover profitable strategies in the stock market ? Archiki Prasad studies the basic financial strategies using mathematical tools for the evaluation of stock markets right here
	Special Theory of Relativity How do the laws of physics transform in the high-speed regime? What seemingly weird effects unfurl as we go closer to the speed of light? In this report, A. S. V. Kireeti lays out the details of the famed Einstein's special relativity in this report
	Coordination compounds and their chemistry From hemoglobin in our blood to the photography we do, everywhere coordination compounds have a role to play. This summer Bhavya Garg tried to learn about them in depth and enjoyed the experience. This is her report
	Probability and Statistics Everything in real world is random. So to analyze different systems in our real life, we need theory of probability and statistics. Chhavi Sharma explores some basics of probability and statistics in this report.
	Molecular Motor simulations Have you ever wondered how the essential components we require for our life are transported in the cells? How is the flow of building material regulated inside the cell? Debanjali Chatterjee delves into the microscopic highways of our body and explores the functioning of motor proteins and the cytoskeleton. You can find a report of her learnings here!
	Astronomy What we observe in the night sky, is it just stars and galaxies and planets? What is space made of? How did we living beings came into existence? Himani Gangurde studies and writes the basic concepts and theories of astronomy.You can find a report of her learnings here.
	Cosmology Join Hrithik Diwakar in his pursuit for understanding the evolution of the universe from the Big Bang to now and on into the future here . Discover modern ideas and mysteries that await human enlightenment.
	Non-linear Dynamics While studying biophysics and molecular motors Jovina Vaswani , stumbled upon the equations governing the dynamics of it. This newfound discovery of her's fascinated me more than her previous topic of research and here is a compilation of her learnings
	Quantum Computing Quantum Computing has emerged as an exciting field of research for both physicists and computer scientists. Can we achieve what a classical modern computer will never be able to? The basic introduction to quantum computing and logic was studied by Keshav Janyani and you can find the report here.
	Machine Learning " A breakthrough in machine learning would be worth ten Microsofts. "- Bill Gates. In today's world, machine learning plays a major role ranging from cyber security to bank transactions or the virtual assistants in today's mobile phones. So Kinjal Saxena tried learning the basic algorithms which goes into such a vast subject and this is what she learnt.
	Special Theory of Relativity Einstein in STR approached towards different conventional problems at his time from a completely different angle. He suspected time, his theory replaced conventional notion of an absolute universal time. Want to know why moving clocks runs slow? So in that case this report by Kratvesh Pandey is ideal for you.
	Machine Learning Ever wondered how does Amazon or Netflix recommend you stuff or how do market forecasting takes place or how does google sorts the websites for your search or how does speech recognition and image recognition work? In this report, Krishna Wadhwani explores the concept that has taken the world by storm.
	Game Theory Over the past few decades, game theory has become an important tool to solve problems in various natural, applied and social sciences. Kumaresh Ramesh studies the basic concepts that go into modelling and analyzing games. Have a look at his findings!
	Special Relativity and Pre-requisites for General Relativity Relativity- one of the most fascinating and the least intuitive studies of all. In the early twentieth century, everyday experience and common sense were flung out of the window by Albert Einstein and what remained back turned itself into the Theory of Relativity. Manu Srivastava attempts to understand the mysteries of spacetime through the relative eyes of a curious student.
	Special Theory of Relativity The new concepts introduced in the Special Theory of Relativity changed the whole perception of space and time drastically.The fictious time travel can now become a reality. How is it so? Mayank Sultania has explored the changes and transformations, it brings to the various aspects of physics . His report can be found here
	Machine learning Machine learning in the recent years has grown to become one of the most prominent ways to realise the Big AI dream. What does Machine Learning have to offer us in this context? In this short note, Myana Rukmangadh Sai studies the basics of machine learning and tries to give a feel of what it is.
	Machine Learning Yasar Adeel Ansari was fascinated by the potential interference of Artificial Intelligence into our daily lives and has studied machine learning this summer to explore that potential. Machine Learning is widely being used to solve problems that have troubled our scientific community for decades, the report gives a brief description on some of those wide applications of Machine Learning.
	CRISPR It might sound like a cereal brand, but CRISPR stands to be one of the biggest revolutions in genetics during our lifetime. Vishal Jain explores CRISPR-Cas9, a genome editing tool that’s able to “cut” DNA in a targeted fashion, allowing scientists to accurately edit the building blocks of life. The consequences are enormous, from eliminating genetic diseases to potentially creating designer babies.You can find a report of his work here
	Nonlinear Dynamics Nonlinear dynamics and chaos theory is a rich amalgamation of applied mathematics and physical modeling,touching the studies of turbulence,fractals,weather prediction and many more diverse topics.Viraj Nadkarni studies the mathematics behind this subject and explores several interesting real life models to explain its application. You can find a report of his work here.
	Qunatum Mechanics under Relativistic Conditions Schrodinger's equation is great, but the story doesn't end there! Fast moving electrons refuse to obey rules unless treated in a relativistic framework. Vineet Punyamoorty covers a review of the Special Theory of Relativity and the Klein-Gordon equation to explain quantum mechanics of spin-0 particles, under relativistic conditions. You can find a report of his work here.
	Abstract Algebra( Groups ) Abstract algebra is a very vast and general field of mathematics. This branch deals with various algebraic structures and has immense applications due to its generality. In this report, Sriram Balasubramanian studies one of the most basic algebraic structures- Groups.
	Graph Theory Graph theory is one of the most important branches of applied mathematics.From searching planarity to the famous stable matching problem, this report by Soham Dibyachintan explores some of the most interesting topics in this with special emphasis on the Gale- Shapley algorithm which is used by many including JoSAA.
	Machine Learning and Applied Statistics Various algorithms employed in Machine Learning were implemented and analysed by Siddhesh Pednekar. The Convolutional Neural Networks was implemented for signature recognition(forgery vs. genuinity) using Keras using Tensorflow backend.You can find a report of his work here.
	Fundamental of Flight The purpose of this report by Shubhanshu Gupta is to present the basic fundamentals of flight at the introductory level in the clearest, simplest, and most motivating way possible. First, we will learn about some basic preliminaries that are used throughout the report. Since flight vehicles spend it most of the time in atmosphere so it good to have knowledge of atmosphere and we will cover it in second phase. Then we will study some basic aerodynamics terms and how they are used in flight.
	Machine Learning Ever wondered how Facebook or Apple's photo application recognizes your friends in your pictures, and each time you read your email and a spam filter saves you from having to wade through tons of spam? Shubham Jain studies Machine Learning and its various algorithm and how it works! You can find a report of his work here.
	Introduction to Special Theory of Relativity Special Theory of relativity deals with contractions and dilations that are not in agreement with our commonsense views of the universe. In fact, they almost appear ludicrous. Yet, there have been several observations that agree with its predictions. Shubham Birange explores this mind-boggling Universe in this report,which can be found here!
	Quantum Computation and Information Quantum computation and Information has brought a new computational definition about physics over thinking physically about computation. Shivam Pundir studied the 'magic' of Quantum Mechanics to understand the concepts like Quantum Teleportation, Quantum Parallelism, along with various Quantum Algorithms.You can find a report of his work here.
	Machine Learning Machine learning is becoming widespread and organizations are using it in a variety of ways, including improving cyber security, enhancing recommendation engines, and optimizing self-driving cars. Sanjog Joshi studies the basic algorithms and applications of Machine learning. You can find report of his learnings here!
	Quantum Computing In a world where we are relying increasingly on computing, to share our information and store our most precious data, the idea of living without computers might baffle most people. We are doing nice in world of computers but can we do better ? answer is yes we just need a quantum Computer. Saipriya Satyajit studies basics of Quantum Computing and all that has been the state of art in this field.You can find a report of his learnings here.
	Introduction to quantum mechanics and condensed state physics In this work , Sahasrajit Sarmasarkar has basically explored the basics and origin of quantum mechanics.Also mathematical modelling has been discussed.In the end Kronig Penney model has also been covered.You can find a report of his learnings here.
	Cosmology Our position in this world is not more than a dust particle & history of entire man-kind is nothing in comparison to history of universe. In this report on cosmology, Riya is trying to explore why the universe is like this. How did it develops, what is its history & what will be its fate? You can find a report of her learnings here.
	Abstract Algebra (group theory and different kind of groups) The mathematics of group theory has always been so interesting and the roots of this theory is linear algebra (Matrices). Rahul Punia explores various ways to explain group theory and different kind of groups .You can find a report of his learnings here!
	Cryptography You connect your phone to a computer and a message pops up saying, "trust or don't trust this computer" what is this trust? why can you download only certified apps ? how do you get to talk over email, what makes you so sure that you can share your bank details over the internet? Raghav Goyal studies the basics of cryptography, which includes historic encryption methods from the world war II to modern times and a lot more . You can find a report of his learnings here!!
	Special Theory of Relativity This report, prepared by Pratyush Ragini tells how length and time interval change when speeds get higher and closer to c and how to perceive these changes diagramatically.
	Transformation of Space-Time co-ordinates:Inertial frames Did you ever ponder over the impact on our notions, if nature dictates constancy of a finite velocity over all inertial frames? Prasanth YSS looks into this part of 'relativity'.You can find a report of his learnings here.
	Laser Isotope Separation This narrow beam of light is capable of separating a desired isotope of chemical element from other isotopes; one of the toughest scientific challenges. Parnashri Wankhede explores the fascinating world of Lasers, her learnings can be found here!
	Machine Learning Algorithms in machine learning and some applications covering analysis of each rigorously. Learning how to perform data mining, clustering using supervised unsupervised learning algorithms. Naman Jain studies explores the growing field of machine learning. You can find a report of his learnings here.
	Mathematical Finance In the recent past, the options market has been the inspiration for many movies based on overnight rags-to-riches stories. Investments in these markets has been increasing exponentially. Sahil Shah studies the mathematical basis behind the pricing of these financial devices. You can find a report of his learnings here.
	Basic General Topoplogy Topology is an extension of set theory which helps to generalize the notions of continuity, compactness, connectedness to general sets. It also defines a way how we can define which two sets are homeomorphic(like the famous example of a coffee mug and a donut). In basic general topology, Pranav Rao looked at the definitions of the terms and some important theorems regarding continuity, uniform continuity, sequences and convergence, uniform convergence, compactness, etc. You can find a report of his learnings here. </table>