∫ π ∑ ∂ Pranav Krishnapuram

Pranav Krishnapuram

Rising 9th Grader · Mathematician · Researcher

I’m a rising high schooler in Silicon Valley, CA, passionate about proof-based mathematics, machine learning, and research. My journey spans advanced coursework through Euler Circle and Stanford ULO, research in number theory, competition math, and Synopsys/CSEF.

Number Theory Real Analysis Machine Learning Algebraic Topology Competition Math Python / AI/ML Origami Tessellations

Coursework

Advanced coursework spanning college-level mathematics and formal proof-based study.

Tessellations School / Stanford ULO
Stanford ULO
Discrete Mathematics
College-level course covering logic, combinatorics, graph theory, and proof techniques.
In Progress · 2026
Stanford ULO
Linear Algebra
Vector spaces, matrix transformations, eigenvalues, and inner product spaces.
Grade A · 2026
AP Exam
AP Calculus BC
Limits, derivatives, integrals, sequences and series, and parametric/polar calculus.
Score 5 · 2025
AP Exam
AP Statistics
Probability, inference, regression, and experimental design.
Score 5 · 2024
Euler Circle
Completed
Transition to Proofs
Foundations of mathematical proof-writing: logic, sets, induction, and formal argumentation.
Completed
Real Analysis
Rigorous treatment of limits, continuity, differentiation, and integration on the real line.
Completed
Differential Geometry
Curves, surfaces, curvature, and the intrinsic geometry of smooth manifolds.
Completed
Abstract Algebra
Groups, rings, fields, homomorphisms, and quotient structures.
Current · 2026
Algebraic Topology
Homotopy, fundamental groups, covering spaces, and simplicial homology.
In Progress

Activities & Clubs

Math, debate, and summer programs where I’ve grown alongside peers who share my passions.

School Club
Math Club — Tessellations School
Active member preparing for national math competitions. Co-organized the Julia Robinson Math Festival, 2025.
School Club
Speech & Debate Club — Tessellations School
Parliamentary debate competitor. Reached Semi-Finalist at the National Parliamentary Debate League Parli Debate, 2025.
Summer Program · 2025
AwesomeMath Summer Camp
Intensive mathematics camp focused on olympiad problem-solving and advanced topics in number theory and combinatorics.
awesomemath.org ↗

Awards & Honors

Competition results, science fair honors, and recognition in mathematics and beyond.

01
1st Place — California Science & Engineering Fair, Junior Division, Mathematical Sciences · April 2026.
02
Castro Family Award — Synopsys Science Fair · March 2026. Nominated to CSEF and Thermo Fisher Scientific Junior Challenge.
03
AIME 2026 — Scored 8 out of 15 on the American Invitational Mathematics Examination.
04
MATHCOUNTS State Contestant — Northern California region, 2024 & 2026.
05
Distinguished Honor Roll in Algebra & Calculus — Berkeley Math Tournament (BMT) 2025.
06
Lenchner Award — Mathematical Olympiads for Elementary and Middle Schools (MOEMS), 2025.
07
Semi-Finalist — National Parliamentary Debate League Parli Debate · 2025.
08
Global Competition Round Qualifier — VEX AI Competition · 2025.

Research & Projects

Original mathematical research, independent papers, and ongoing investigations.

Independent Research · 2025–Present
Redundancy Degree & Reconstructibility in k-Exact-Perfect Numbers
Original research in number theory exploring properties of k-exact-perfect numbers.

Euler Circle Paper · 2025
On the Central Limit Theorem and Its Extensions
Research paper examining the Central Limit Theorem and generalizations beyond classical settings.
Expository Paper · 2024
Volume of a Regular d-Dimensional Tetrahedron (d-Simplex)
Derives a closed-form formula for the volume of a regular d-simplex using determinants and induction.

Hobbies & Skills

Outside of mathematics, I find creativity and balance in an eclectic set of pursuits.

🦚
Origami
Intermediate–advanced; specializing in original tessellation pattern design.
✍️
Creative Writing
Original English poetry exploring abstract and thematic ideas.
🐍
Programming
Python, AI/ML workflows, and computational explorations.
🗣️
Languages
Learning Chinese (beginner) and Japanese (beginner–intermediate).
🤖
Robotics
VEX AI Competition — qualified for the Global Competition Round, 2025.
🎤
Debate
Parliamentary debate with NPDL; reached Semi-Finalist at nationals.

Get in Touch

Have a question or want to connect? Send me a message below.