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Education

• 2024 - (ongoing), Ph.D. in Statistics and Operations Research: The University of North Carolina at Chapel Hill, USA

• 2022 - 2024, Master of Statistics (M.Stat.): Indian Statistical Institute, India 

• 2019 - 2022, B.Sc. (Hons.) in Mathematics and Computer Science: Chennai Mathematical Institute, India

• 2012 - 2019, Grade 6 to 12: Sri Chaitanya Techno School, Bangalore, India

• 2004 - 2012, Grade 1 to 5: Ryan International School, Bangalore, India

Awards & Honours

• AIR 10 in ISI M.Stat. entrance exam (May '22)

All India Rank 10 in the entrance examination for Master of Statistics (M.Stat.) held by the Indian Statistical Institute (ISI), Kolkata. 

• SHRIRAM Scholarship (Aug '19)

Awarded based on the performance in the entrance exam of CMI, this scholarship waives the tuition fee for all six semesters and provides a monthly stipend.

• Cleared JEE Mains & Advanced (Apr & Jun '19 resp.)

Joint Entrance Examination (JEE) is a two-stage (Mains and Advanced) national-level entrance exam for most engineering colleges across India, including the IITs (Indian Institute of Technology). 

• KVPY Fellow (SX Stream - Jun '19; SA Steam - Jun '18)

Kishore Vaigyanik Protsahan Yojana (KVPY) is a nationwide fellowship & scholarship program funded by the Department of Science and Technology, Government of India. 

• NTSE Scholar (Jul '17)

National Talent Search Examination (NTSE) is a national-level scholarship program conducted with the National Council of Education Research and Training (NCERT). 

• Global 3rd prize in Space Settlement Contest (May '15)

(details under Projects section below)

• Graduated UCMAS Abacus (Nov '12)

Universal Concept of Mental Arithmetic System (UCMAS) is a mental development program that strengthens skills in math in addition to memory, concentration, creativity, and problem-solving, through mental arithmetic. I graduated from UCMAS Abacus with two state-level honors in my name. 

Projects

• Clustering of Large Deviation Events (Sep '23 - )

Supervised by Prof. Arijit Chakrabarty (ISI Kolkata), as part of my Master's Thesis, I am exploring the limiting behavior of cluster sizes of large deviation events arising out of infinite moving-average processes. 

• Advanced Instructional School in Stochastic Processes (June '23 - July '23)

Held at NISER Bhubaneswar as an initiative by the National Center for Mathematics, the school was an intensive three-week-long mini-course covering fundamental aspects of Brownian Motion, Conditional Expectations & Martingales, and Measure Theory. The interactions with peers and top-class faculty made the camp all the more fun! Exercises and my handwritten notes from the camp are here. 

• Random Matrix Theory (May '21 - Aug '21)

This was a reading project under the supervision of Prof. Manjunath Krishnapur of the Indian Institute of Science, Bangalore. I learned and applied various techniques, including the method of moments, Stieltjes transform, and invariance principles, to understand the spectral distribution of random matrices. Towards the end, I also got a taste of Free Probability Theory. I primarily followed an updated version of this set of notes by Prof. Krishnapur. 

• Dirichlet's Class Number Formula for Imaginary Quadratic Fields (May '20 - Jul '20)

Working under Prof. B Sury of the Indian Statistical Institute (ISI), Bangalore, the project's objective was to prove and apply Dirichlet's Class Number Formula for Imaginary Quadratic Fields. The proof uses Quadratic Residues, Gauss sums, and general Dirichlet series including the Dedekind Zeta Functions and L-functions of Dirichlet characters. My project report is here.

• Internship with Data Sciences Group at [24]7.ai, Bangalore (Jun '19 - Jul '19)

Working under the supervision of Dr. Pratibha Moogi in [24]7.ai I learned about various Machine Learning Algorithms, associated Cost Functions, Maximum Likelihood Estimation, and Feature Selection Models. I implemented the knowledge gained by developing an algorithm for the hospitality sector. I also got to visit a few industries to get hands-on knowledge of the applications of the models I worked on. My concluding presentation is here. 

• Prometheus (Dec '14 - May '15)

Prometheus (a Titan God of Fire) was our submission to the Space Settlement Contest conducted by NASA's AMES Research Center in collaboration with the National Space Society (NSS). The objective was to design a theoretical prototype of a colony in space with detailed solutions to challenges we would face, like radiation exposure, stability, food, water, waste management, etc. I presented this project at the International Space Development Conference in Toronto, Canada in May 2015, having won the global third prize.

Talks

• The more you know, the more you know you don't know (09 November 2024)

The lecture was delivered in ROOTS 2024, organized by the Raising A Mathematician Foundation, targetted at high school students. The abstract and slides are hyperlinked inline. 

• A Glimpse into Probability (17 November 2023)

Given as part of the ROOTS 2023 campaign organized by the Raising A Mathematician Foundation, this lecture, aimed at early high school students, highlighted the numerous applications of probability theory. The slides are hyperlinked here. 

• Mini-course on Markov Chains and Random Walks (Oct '23 - )

As part of the student-run ISI Maths Club, I am giving a series of lectures introducing the B.Stat. and M.Stat. students to Markov chains through random walks. I plan to take a follow-up mini-course on Mixing Times and Rates of Convergence. 

• Etemadi's Strong Law of Large Numbers (08 April 2023)

This presentation was a part of the Measure Theoretic Probability and the Large Sample Theory course in my first year at ISI. I presented Etemadi's proof of SLLN for pairwise independent random variables and further generalizations and corollaries. A write-up based on the talk is here. 

• Muntz-Szasz Theorem (17 December 2022)

Given as part of a student-run weekly seminar organized by Ph.D. students in ISI Delhi, I presented a proof of the Muntz-Szasz Theorem (a generalization of the Weierstrass Approximation Theorem) using Gram determinants and elementary results in Functional Analysis. I primarily followed this set of notes. A more general version is here.  

• Experiments in Probability (19 February 2022)

This was an outreach talk for RAMTP and Epsilon India 2022, run by the Raising A Mathematician Foundation, a charitable trust that identifies and hones young talent in math through workshops and webinars aimed at high school students. The abstract/poster, slides, and video are hyperlinked. 

• The Secure Pattern (14 November 2021)

This was given as part of the ROOTS 2021 Camp organized by the Raising A Mathematician Foundation. This talk was to an audience comprising of early high school students who cleared the ROOTS Exam. The abstract and slides are hyperlinked inline.

• From Sports to Courts - the omnipresence of math! (09 October 2021)

This was the first talk of the ROOTS 2021 Lecture Series organized by the Raising A Mathematician Foundation. The lectures, conducted in collaboration with Tessellate & STEMS of CMI, are targeted at early high school students. The abstract/poster, slides, and video are hyperlinked. 

• Length at Length (25 September 2021)

This was an expository lecture on Measure Theory that was hosted by the Online Math Club, an initiative aimed at increasing exposure to olympiad and advanced math among high school students, primarily by lectures on a diverse variety of topics. The abstract, handout, and video are hyperlinked herewith. 

• Am I Correct? Probably! Tales of the use and misuse of math (09 September 2021)

Hosted by DhiMath, a social enterprise that fosters problem-solving and mathematical thinking, the talk was a public lecture given to an audience comprising of high school and undergraduate students. Hyperlinked herewith are the abstract, poster, slides, and video. 

• Some Important Banach Spaces (17 February 2021)

This was given as part of the Graduate Analysis I course during my fourth semester. The objective was to show that L^p,  and B(S), the space of all bounded complex-valued functions on S, are Banach Spaces (complete normed linear spaces). Some associated results were also proved. The contents of the presentation are here. 

• Dirichlet Characters & L - Functions (19 October 2020)

The presentation was given as part of the Analytic Number Theory course I audited in my third semester. The talk started by defining characters and proving standard properties like orthogonality relations, dual group, etc. This was followed by defining characters on (Z/qZ)* characters, Dirichlet characters, and Dirichlet L - functions associated with every character. Finally, it was shown that the L - function is convergent on the right-half plane. The highlights of the presentation are here. 

Courses taken/TAed

Here are the details of:

• Courses taken in ISI (Master of Statistics)

• Courses taken in CMI (B.Sc. in Maths & CS)

• Courses TAed in CMI

Responsibility (co-curricular)

• Event Coordinator & Head Organizer, Tessellate & STEMS 2019 - 2022, CMI

• Organizer, CMI Music Fest (30 December 2021)

• Student Treasurer, CMI (Mar '20 - May '22)

• Grievance Committee Member, CMI (Oct '21 - May '22)

• Mentor - Counsellor, CMI (Sep '21 - May '22)

Get in touch!