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Math Research Projects

Bose Spring Math Olympiad - 2021

~ Junior Level Kids (Grade 1-4)
~ Middle School Kids (Grade 5-8)
~ High School Kids Grade 9 and above)
Research Project Round - Session 1
Research Project Round - Session 2
Research Project Round - Session 3
Research Project Round - Session 4 
Research Project Round - Session 5
Research Project Round - Session 6
Research Project Round - Session 7 
Research Project Round - Session 8
Research Project Round - Session 9
Research Project Round - Session 10

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The first stage of Bose Spring Math Olympiad 2021. 
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Tejas Kulkarni

Tejas Kulkarni

Bio: 15 years old. Studying in Singhania School. Interested in Python programming and higher level maths, aspiring Data Scientist.

Abstract of the Project: The Monty Hall Problem is a famous problem in statistics. It uses simple probability to prove a surprising outcome to the problem.

Aarav Anil Rao

Bio: Aarav Anil Rao is a 11 year old student of grade 6 at Oakridge International school Mohali. Aarav loves solving advanced math problems and his favourite subject is Science, specifically Chemistry. Aarav has made a mark in scholastic exams over the last three years and has been listed in the top honors in more than 50 Indian and International competitions. Aarav has earned a purple belt in Karate and is training for Trinity grade 1 Guitar certification.

Abstract of the Project: Pick's theorem gives a way to find the area of polygons in a plane whose endpoints have integer vertices. The project work will include the development of proof for the theorem and will discus its application.
Aarav Anil Rao
Sonakshi Das

Sonakshi Das

Bio: Sonakshi Das is a student of 5th standard of South Point School, Kolkata, India. She has a passion for Maths from very early age. She has participated in the number of Maths competition in the last two years and received a gold medal representing India in the SEAMO X 2021. Her global ranking was 4 out of 22 participating countries. She spends her leisure time playing synthesizer and has a passion for painting as well.

Abstract of the Project: To determine the number of integer values of a third side of an acute triangle, when other two sides of the triangle are given. This project is based on the principle of In-equality of Triangles

Dhruv Singhvi

Bio: Dhruv is a 11 year old student of NES International School Mumbai and has just started Grade 7. He loves Science and Maths, especially Physics. He is very keen to have a greater depth of understanding in Mathematics.

Abstract of the Project: In my research, I delve into 3 of the greatest unproven mathematical conjectures and talk about the history and what clues we have come across that might help us prove the Collatz Conjecture, Goldbach's Conjecture and The Twin Prime Conjecture.
Dhruv SInghvi
Aashir Mehrotra

Aashir Mehrotra

Bio: I am Aashir Mehrotra; I currently study in Grade 9 at Pathways School Gurgaon. I aspire to be a research mathematician in the near future.

Abstract of the Project: This project is about degree sequences of graphs. I will present necessary and sufficient conditions for sequence to be realisable as a degree sequence of graph; I considered many types of graphs for this as well.

Anushka Ramrakhiani

Bio: I am Anushka Ramrakhiani and I live in Mumbai, India. I am in the 7th grade and I study in CNM School. Both my parents are Chartered Accountants and I also have a younger brother. I am passionate about Mathematics and Science. My hobbies include reading, dancing and photography.

Abstract of the Project: The topic of my project is 'Polygonal Numbers'. The main objective is to discuss some basic polygonal numbers like triangular numbers, square numbers, pentagonal numbers, etc. and the formula that one can use to find these numbers.
Anushka Ramrakhiani
Abhiram Iyer

Abhiram Iyer

Bio: My name is Abhiram.I study in 9th standard .I love mathematics and love to solve interesting problems and I am fascinated to see the apperance of mathematics in our day to day life.

Abstract of the Project: I will present about the apperane of the Golden Ratio in various parts of geometry and show that the Golden Ratio is not only seen in Fibonacci sequence but it can be also seen other sequences.

Atharv Nadkarni

Bio: Hi, I'm Atharv Nadkarni. I'm 7 years old and studying in the 2nd standard. I live in Goa. I like maths, computer programming, science & technology, reading and music. I write blogs on maths and other topics on my personal website which I have designed and developed myself using HTML, CSS, JavaScript (www.atharvnadkarni.com). I'm also a YouTuber, my channel name is Athroid.

Abstract of the Project: I will be speaking on the most interesting formula in the world, the Pythagoras' theorem and how to generate Pythagoras' triplets.
Atharv Nadkarni
Sayak Chowdhury

Sayak Chowdhury

Bio: I am Sayak Chowdhury, a Mathematics and Astrophysics enthusiast. I have qualified several National and International Mathematics Olympiads like SEAMO, TIMO, SASMO, HKIMO, WMI, etc, and also won several competitions on Science, GK and English. Apart from this, I am a bookworm, chess player, guitarist, writer and speed-cuber. I really like to be updated regarding all technological trends around the world. I want to be Mathematics Professor in the Future.

Abstract of the Project: Collatz Conjecture:- Take any natural number(n) and follow the following steps:- if it's even divide by 2(n/2), and if it's odd, multiply by 3 and add 1 (3n+1) and continue doing this. The conjecture says whatever be the number n, we will always reach 1.
This simple yet unsolved problem has stirred scientists over decades, and I want to showcase this beauty in my project.

Aaron Dutta

Bio: My name is Aaron and I am 12 years old grade 7 student of Oscar Peterson Public School from Stouffville, Canada. My hobbies are playing piano, coding, and reading novels. My favourite subjects to study are maths and science: preferably Algebra and Physics. 

Abstract of the Project: In this presentation, I will cover the Greek roots of the word parabola, what it is, the main key points such as focus and directrix of a parabola, why it is important in geometry, formulas to it, an example in Geogebra, and to end it off, some questions about what we have learned.

Aaron Dutta
Kanak Rade

Kanak Rade

Bio: My name is Kanak Kiran Rade, I am 9 years . I study in grade 5. My favourite subjects are Mathematics ,Science and I like to do coding as well. I like reading books. I am very curious about things and like to know how they work and the logic behind. I am fascinated by numbers, logic and patterns they follow. I have just started exploring the concepts still lots more to find and know.

Abstract of the Project: My Research Project is based on Pascal's Triangle. It has been explored a lot I would like to take it further to explore and see how and where more it can be used.

Swetanshu Sahoo

Bio: I am Swetanshu Sahoo of Class 5 studying in DPS Bhilai.

Abstract of the Project: Net of Cube is a 2D representation of a Cube.
Cube can be represented in 11 ways of Cube nets. Simply, the net of a Cube clarifies the visualization of the Cube and Position of the faces in a 2D representation.

Swetanshu Sahoo
Ashish Kumar

Ashish Kumar

Bio: I am a class 10th student. I from ST.MICHAELS HIGH SCHOOL DIGHA GHAT, PATNA, BIHAR. I am passionate about Mathematics especially number theory. Cheenta help me to do better in Maths.

Abstract of the Project: MY PROJECT IS ABOUT HOW TO WIN MILLION DOLLARS IN NUMBER THEORY? IT WILL COVER SOME MILLENIUM PROBLEM LIKE RIEMANN HYPOTHESIS.

Vijayakrishnan Ramesh

Bio: I am a 10 year old studying in P.S Senior Secondary school Chennai. I love Maths and Science. I am participating in the Cheenta Bose Olympiad for the first time. I love to ask questions on how things work and am interested in doing a lot of experiments..

Abstract of the Project: My research project is on Nets of solids and how it is used to find surface area of 3 dimensional solids.

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Abhinav Khetan

Abhinav Khetan

Bio: I am Abhinav Khetan, currently in 8th Grade from Noida. My favourite subject is Mathematics and I am very much passionate about it. I have secured top ranks in various International Math Olympiads viz. AMC 8, AMC 10, Pascal, AMO, ISMC, AIMO, HKIMO, TIMO, WIMO, SEAMO, SEAMO-X, SASMO, SIMOC, IJMO etc.

Abstract of the Project: My research project is about Euler's Phi Function. I will discuss the properties and applications of this function with some examples.

Sarthak Dhobale

Bio: I am Sarthak Dattaray Dhobale, a student of Class IX. My goal is to become a successful Research scientist in Mathematics, I am looking forward to win medal in IMO for our country. I am very much passionate about Mathematics

Abstract of the Project: My research project topic is Principle of Mathematical Induction. In this research project i want to demonstrate the usefulness and power of this axiom. I also wants to demonstrate some powerful examples about induction which are difficult to solve otherwise.
Sarthak Dhobale
Arnav De

Arnav De

Bio: I am Arnav De, a student of Cheenta (Level 5). I am participating in the Senior Level of Bose Spring Olympiad. The part of Mathematics which I find the most interesting is Geometry.

Abstract of the Project: In my project I will show some theorems related to Nine Point Circle along with their proofs, and I would try to make my audience love this complex yet simple mathematical beauty.

Pulkit Gupta

Bio: I, Pulkit Gupta, a 9-year-old Delhiite boy, am a Tech gig, a mathematics enthusiast and an avid reader had participated in many interschool competitions such as
• Shakuntala Devi Mental Math Quiz 2020
• Online PowerPoint presentation Competition 2020
• QRIOSITY 2020-21 Cadet Quiz
• Plant Mashup competition 2020
Participation in many school-level competitions have boosted my confidence. My interest in Robotics led me to learn programming in Arduino and HTML & App Development. To gain command over the English language, I regularly pursued offline and online courses from British Council, New Delhi. I utilize my time reading books, playing guitar & solving math problems apart from watching mystical series on television.

Abstract of the Project: A Platonic solid is a regular convex polyhedron in 3D space with equivalent faces composed of congruent convex regular polygonal faces. According to Plato and other mathematicians, only five such solids can exist in nature. The importance of these Platonic solids as the basic building blocks of all life, the language of creation used in many religions and cultures and its association with metaphysical studies prompted me to explore mathematically if the existence of sixth such solid is even possible using two basic concepts of geometry –
1) Angles at a vertex
2) Euler’s formula

Pulkit Gupta
Anshuman Mishra

Anshuman Mishra

Bio: I am Anshuman Mishra I am participating in the Intermediate Level of the Bose Spring Math Olympiad 2021.

Abstract of the Project: My research is about the history of pell's equation and various methods to solve it which were found over the centuries.

Parth Mandar Vartak

Bio: I am Parth Mandar Vartak, a 9th standard student of Lilavatibai Podar ICSE School in Mumbai. I am interested in participating in Cheenta Bose Math Spring Olympiad to be held in 2021. I am interested in the subjects of Mathematics and pure sciences

Abstract of the Project: My research project topic is on Topology (Mobius Strip and Klein Bottle).
Parth Vartak
Ishan Paul

Ishan Paul

Bio: Hello, this is Ishan PAul. I am a student of Cheenta. I have qualified NMTC Sub-Junior Stage 1. My favourite hobby is to learn new things. I love to learn new concepts and problems. Mathematics is the secret to how nature functions.

Abstract of the Project: My project is on Recurrence / Recursion. It is one of the most beneficial topics to grasp as it helps in dealing Combinatorics Problem.

Mounob Das

Bio: I am Mounob Das of class 10. I am studying in South Point High School, Kolkata and I love Mathematics.

Abstract of the Project: We donot face any problem relating to Infinities in our daily lives, but Infinities are beautiful and is often mind-boggling. In my project I will try to explore ' Infinities ', and will try to know some of their strange characteristics along with some other interesting topics .
Mounob Das
Greeshma Doppalapudi

Greeshma Doppalapudi

Bio: A student at Cheenta , just finished class 10 and moved into class 11.
I dint have much interest in math , but nowadays I’m learning Various problems and concepts , it is very interesting. However I have to improve a lot . To test myself I keep giving Olympiads.

Abstract of the Project: Wilson’s theorem is going to be the topic of my project. It is a part of number theory, using this formula, formulas for primes is constructed and many more applications are there.

Alivia Roy

Bio: I am Alivia Roy from Mumbai of Grade 7 (moving to Grade 8). I have been fascinated by Maths always. In mathematics, my favourite chapters are Combinatorics and Number Theory. I had attempted Bose Winter Olympiad last year, it was a wonderful experience. So I am attempting the Spring Olympiad to enjoy the beautiful problems again.

Abstract of the Project: The Fibonacci Sequence is a peculiar series of numbers from classical mathematics that has found applications in advanced mathematics, nature, statistics, computer science, etc. Let’s explore more about this interesting sequence.
Alivia Roy
Maanvik Agarwal

Maanvik Agarwal

Bio: I am Maanvik agarwal student of St James School,Kolkata . I am currently studying in class 9 .I like trying and solving math problems ad have cleared nmtc stage 1. I love programming and playing the guitar .I am preparing for grade 4 examination by London college of music.

Abstract of the Project: The topic for my project is parity. Parity is a property of an integer which tells us whether it is even or odd . This concept, despites it’s utmost simplicity, appears in the solution of the most varied sorts of questions.

Vedanth Vishwanathan

Bio: Vedanth Vishwanthan is a Grade 5 student. 

Abstract of the Project: Toothpick bridge project- The objective of this project is for to take a collection of toothpicks and put them together to build a structurally sound bridge, capable of supporting a large amount of weight. Throughout this STEM challenge, students will utilize physics, engineering, and math skills to design and build said bridge.
Vedanth Vishwanathan
Sarvam Vora

Sarvam Vora

Bio: I am Sarvam Bhavesh Vora from grade 7. I love Math, Robotics,Singing, Animating and playing Chess and Badminton. The reason I love Math is that there are no exceptions because there is logic in every theorem or equation... Also, it's very interesting and you can never learn Math fully. It's Infinite knowledge...

Abstract of the Project: I have chosen the topic, it is 'Brouwer's Fixed Point Theorem'.

Arnav Nigam

Bio: My name is Arnav Nigam and currently I am in Grade 9. I am very passionate about Mathematics and I want to explore and enjoy its beauty. I have won several accolades in National and International Math Olympiads such as the SOF IMO, SASMO, SEAMO, SIMOC, IJMO, HKIMO, TIMO, ISMC,etc. and I had also qualified to write the INMO 2021.

Abstract of the Project: The Taylor Maclaurin Series is a very integral part of Calculus and is also extremely important in many real life applications. I have researched about the Taylor Maclaurin expansions and its applications in various streams of Mathematics as well as its applications in Real Life, along with some examples that demonstrate the beautiful applications.
Arnav Nigam
Siddharth Kumar Gopal

Siddharth Kumar Gopal 

Bio: Siddharth Kumar Gopal, is a student of Class 8 and the recepient of the Pradhan Mantri Rashtriya Bal Shakti Puraskar 2020 in the field of Scholastics. He is passionate about Science and Maths and has won top ranks in several National and International Olympiads including President's Honour for Global Excellence in STEM from SIMCC Singapore, International Rank 1 in SOF Maths Olympiad and International Maths Olympiad by Unified Council.

Abstract of the Project: Stirling Numbers of the First and Second Kind and Its Applications in Combinatorics.' In this project I would like to explore Stirling Numbers, their history and their unique properties as well as look at practical applications of Stirling Numbers in solving mathematical problems in combinatorics.

Pranjal Jain

Bio: My name is Pranjal and I will be starting grade 6 in June this year. I study in NPS HSR but I have been doing a lot more than school curriculum. I am fluent in programming and have made many projects in Python. I have also made two web browser games using Javascript. I am also interested in robotics and am currently working on a tic tac toe playing robot and have previously made a robotic arm. I am also an avid blogger and drummer.

Abstract of the Project: I am doing my research project on the pigeonhole principle. The pigeonhole principle states: If we have to put N+1 or more pigeons in N pigeonholes, then some pigeonhole must contain 2 or more pigeons. The pigeonhole principle can often solve problems for which there seems to be too little data.
Pranjal Jain
Aryan Das

Aryan Das

Bio: I am Aryan Das, from Class-VII (promoted to this class in the session 2021-22). I stay in West Bengal, Haldia(A town in West Bengal in the district Purba Medinipur) and study in The Assembly Of God Church School, Haldia.

Abstract of the Project: Euler's Identity created by the Swiss mathematician, Leonhard Euler, is referred to as the "Most Beautiful equation in Mathematics" because it combines the 5 most basic constants and 3 operators of Maths only 1 time and forms an equation on it. It is one of the most basic equations of Maths.

Soham Pednekar

Bio: I am a 7th grade student studying in Pawar Public School, Bhandup. I am passionate about mathematics as I enjoy solving the wide variety of interesting problems and finding the intricate mathematics behind the answer. I am looking forward to participating in various math competitions.

Abstract of the Project: For the project round, I would like to do research on Graph Theory or Transformation Geometry.
Soham Pednekar
Abhijnan Nanda

Abhijnan Nanda

Bio: I am Abhijnan Nanda from Kolkata. I have just been promoted class 5 in DPS Megacity. I’ve been very interested in maths since I was 7.

Abstract of the Project: My Research Project is about Platonic solids which I thought would be very interesting to make a ppt about. It contains the basic things about it while also having info on the Individual shapes.

Aryan Prakash

Bio: I am Aryan Prakash, currently studying in Grade 10, Billabong High International School Malad West , Mumbai, Maharashtra. Mathematics is humanity's best creation. It is extremely abstract and complex which is what motivates me to explore its deep mysteries and be so passionate about it.

Abstract of the Project: The notion of primitive roots bridges two very seemingly different branches of mathematics in a beautiful way and expresses the abstract nature and beauty of number theory.
Aryan Prakash
Souradip Das

Souradip Das

Bio: My name is Souradip Das. I am a student in 9th Standard at present(2021-22) in Bhavan’s Gangabux Kanoria Vidyamandir, Salt lake, Kolkata. My areas of Interests are solving Mathematical Problems & Logic Puzzles and playing games.

Abstract of the Project: Behavior of Mean, Median and Mode given a set of data or numbers. If we have a group of sets where we can say for sure that Mean = Median = Mode, and how to guess the Mean when the Median is not given, and so on or vice versa.

Alokik Tewari

Bio: My name is Alokik Tewari and currently I am in Grade 10 . I am very passionate about mathematics and like solving problems.

Abstract of the Project: My project is on Pythagoras Theorem - the most used theorem in high school classes . In this Project, I would tell the history, different types of proofs and sideline proofs derived from pythagoras theorem.
Alokik Tewari
Aaditya Punatar

Aaditya Punatar

Bio: I am Aaditya Punatar from Mumbai. I love Mathematics and especially geometry. I usually like reading book and solving geometry problems

Abstract of the Project: My project is about complex numbers and playing with them. It shows the history, explains them, shows the representation and also is a bit of arithmetic with complex numbers.

Aritrabha Majumdar

Bio: I am Aritrabha Majumdar, a student of class X at Ramakrishna Mission Vivekananda Vidyamandir, Malda. I am quiet passionate about mathematics, specially about discrete mathematics, calculus, number theory and cryptography.

Abstract of the Project: Pascal's triangle contains some great mathematical patterns. In this project, I will combine these patterns with Caesar cypher method and some other approaches to create complex permutations, so that the encryption gets more rigid.
Aritarbha Majumdar
Parth Modi

Parth Modi

Bio: My name is Parth Modi. I am right now in 7th grade. I am 11.5 years old. I have always been keen on learning Mathematics and Physics. My hobbies are reading adventurous books, playing basketball. I have got a silver medal in JMO. I have got 15 marks with an AIR 53 in AMC 8 in 6th std.

Abstract of the Project: My project is about Combinatorics. It gives a basic idea about combinatorics at first. Then it says about some basic principles. It also mentions some theorems about permutation and combinations. In Permutations it says about the formulas where repetition is allowed or not. It also gives derivation of the main formulae of Permutations and Combinations.

Ayaana Singh

Bio: My name is Ayaana Singh and I am a 9 years young girl. I am a Math enthusiast and a certified game developer from the White Hat Junior program. I enjoy using my skills to understand geometry using exciting technological advances that happen at our Cheenta Bose Spring olympiad Camps

Abstract of the Project: While searching for my topic for a presentation I found out Parallelepiped. At first, I think that ‘parallelepiped’ is a very funny name, and I often wonder if I am saying it correctly! After researching I get to know that, a parallelepiped is a prism whose faces are all parallelograms.
Ayaana Singh
Roddur Das

Roddur Das

Bio: My name is Roddur Das. I am from Kolkata and I study in Class 4. My hobbies include experimenting with household items. II want to be a scientist and research when I grow up.

Abstract of the Project: A platonic solid is 3-D shape where the faces are
congruent, regular polygons and same number of polygons meet at each vertex. The Platonic solids are the most symmetric group of solids around. There are 5 platonic solids: tetrahedron, cube, icosahedron, dodecahedron, and octahedron..

Arnav Sanjeev Mishra

Bio: My name is Arnav Sanjeev Mishra. I read in Grade 6. I study in St. Joseph's Convent Higher Secondary School. My hobbies are writing stories and reading books.

Abstract of the Project: How to prove that two lines are parallel using a transversal and different theorems of angles ?
Arnav Sanjeev Mishra
Mann Shah

Mann Shah

Bio: Hello, I am Mann Shah and I am participating in Bose Research Project Round. I really like Algebra and Number Theory and solving problems based on them.

Abstract of the Project: My  project is about induction, which is an extremely powerful mathematical technique that allows us to solve problems in just two steps. the idea that we can prove a statement for infinitely many numbers using just two steps is fascinating to me.

Sreepranad Devarakonda

Bio: I am Sreepranad of Class 8, KV Mysuru and I am from Mysuru. I love Mathematics and Physics. I am preparing for IOQM and AMC-8 of this year. 

Abstract of the Project: I am going to present inequalities, in geometric representation, such that someone who is not familiar or has a confusion can easily understand it.
Sreepranad Devarakonda
Hrithik Singh

Hrithik Singh

Bio: I am a mathematics student currently being home schooled.

Abstract of the Project: Proof of the AM-GM Inequality for n numbers. The proof employs an interesting technique called "step-down induction".

Aradhya Goel

Bio: My name is Aradhya Goel and I am studying in class 10. My hobbies include reading and solving puzzles. 

Abstract of the Project: I will be presenting my project on Special type of numbers , which include Fermat numbers, Mersenne primes and amicable numbers and perfect numbers. I will try to prove some of the theorems related to them.
Aradhya Goel
Harini Subramanian

Harini Subramanian

Bio: I am a student of KV IIT Bombay and just got promoted to class 7.

Abstract of the Project: I would be presenting the Friendship Theorem, which uses graph theory to prove it.

Kuhsagra Srivastav

Bio: I am a Maths enthusiast. Ready to learn new methods and concepts. My hobbies are coding and problem solving.

Abstract of the Project: I am going to present a project on Pell's Equation which is not so difficult topic but new for many students. I would like to explain the concept in an understandable way.
Kushagra Srivastav
Arav Zavar

Arav Zavar

Bio: I am in 7th standard and am 12 years old. I study in CNM school.

Abstract of the Project: I will be talking about the group of four theorems by the famous mathematicians.

Advait Sharma

Bio: I am Advait Sharma and i study in class 6 in DPS Gurgaon .

Abstract of the Project: My project is about similarity and its applications .
Advait Sharma

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