AIMS Summer School — Research in Constructible Numbers
Summer 2026 research on constructible numbers with Dr. Jonathan Hanke and counselor Eli DeWitt.
resume
Pranav Krishnapuram
Selected awards, academic work, research, and activities.
Academic work
College-level mathematics
Linear Algebra · Discrete Mathematics
Proof-based mathematics
Transition to Proofs · Real Analysis · Differential Geometry · Abstract Algebra · Algebraic Topology · Generating Functions
Calculus BC · Statistics
Score of 5 on each exam.
Activities
Random Math
Advanced mathematical problem solving and enrichment.
AwesomeMath Summer Camp
Intensive mathematics camp focused on olympiad problem solving, number theory, and combinatorics.
San Jose Math Circle
Mathematics enrichment and problem solving.
Math Club — Tessellations School
Competition mathematics and math-community activities; coordinated middle-school volunteer recruitment and operations for the Julia Robinson Math Festival in 2025.
Speech & Debate Club — Tessellations School
Parliamentary debate; reached the semifinals at the National Parliamentary Debate League Parli Debate in 2025.
Research papers
Constructible Numbers
Research on constructible numbers with Dr. Jonathan Hanke and counselor Eli DeWitt.
Redundancy Degree & Reconstructibility in k-Exact-Perfect Numbers
Original research in number theory exploring the structure of redundant divisors.
On the Central Limit Theorem and Its Extensions
An exposition and proof-focused paper on classical forms of the Central Limit Theorem.
An Exposition on Minimal Surfaces
Minimal surfaces in differential geometry, including catenoids, helicoids, and Scherk's surface.
Volume of a Regular d-Dimensional Tetrahedron
A derivation of a closed form for the volume of a regular d-simplex.
Human Detection for Safety Applications Using Deep Learning
Used YOLOv8 transfer learning to detect humans in CCTV footage for workplace safety, achieving 88.5% mAP50 and deploying a virtual barricade alert system. Co-authored with Atul Dubey at AIClub, Mountain View.
Awards & honors
Top 300 Junior Innovator — Thermo Fisher Scientific Junior Innovators Challenge
Selected as one of the Top 300 Junior Innovators in the 2026 national competition.
1st Place — California Science & Engineering Fair
Junior Division, Mathematical Sciences.
Castro Family Award — Synopsys Science Fair
Nominated to CSEF and Thermo Fisher Scientific Junior Challenge.
American Invitational Mathematics Examination (AIME)
Score: 8 / 15.
Perfect Score — AMC 8
25 / 25 on the American Mathematics Competition 8.
MATHCOUNTS State Contestant
Northern California region.
Distinguished Honor Roll — Berkeley Math Tournament
Algebra & Calculus.
Lenchner Award — MOEMS
Mathematical Olympiads for Elementary and Middle Schools.
Semi-Finalist — National Parliamentary Debate League
Parliamentary Debate.