Primitive sets and von Mangoldt chains: Erdős Problem #1196 and beyond
Boris Alexeev, Kevin Barreto, Yanyang Li, Jared Duker Lichtman, Liam Price, Jibran Iqbal Shah, Quanyu Tang, Terence Tao
Submitted to Algebra & Number Theory // 2026Jibran Shah
Masters StudentUniversity of Toronto
I am a Masters student in ECE at the University of Toronto, with an undergraduate background in Mathematics. I am currently a deep learning researcher at Block, working on speech-to-speech models. Previously, I worked under Florian Shkurti at the RVL Lab on uncertainty calibration in perception-based motion planners and under Asif Zaman at the Fields Institute on probability theory.
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Research
The Impact of Class Uncertainty Propagation in Perception-Based Motion Planning
Jibran Iqbal Shah, Andrei Ivanovic, Kelly Zhu, Masha Itkina, Rowan McAllister, Igor Gilitschenski and Florian Shkurti
arXiv.2602.16035 // 2026Central Limit Theorems for Random Multiplicative Functions over Function Fields
Declan Hoban, Jibran Iqbal Shah, Nadya-Catherine Ismail, William Verreault, Asif Zaman
Published in Research in the Mathematical Sciences 13 (3), 58 // 2026Fourier Analysis and the closed form for the Zeta Function at even positive integers
Jibran Iqbal Shah
arXiv:2012.00603 // 202002
Projects
TargetTTS
Target speaker extraction based ASR for full overlap speaker mixtures.
Reinforcement Learning finetunes Sparse Subnetworks in LLMs
Re-implementing the paper https://arxiv.org/abs/2505.11711 which says RL based finetuning changes only a sparse subnetwork in an LLM
Off-policy vs On-policy RL for Driving
We compare DQNs, DDQNs and PPO for self-driving on highway environments
HiggsArt, Voice-controlled Photoshop with GenAI
HiggsArt is a voice-controlled photo-editing platform that parses user intent to choose between native image edits or genAI edits after masking the object the user intends to edit.
TaskCloud
Cloud-native task management platform deployed with Docker Swarm, PostgreSQL persistence, JWT auth, RBAC, and zero-downtime rolling deployments.
KashViT, an OCR for Kashmiri in Nastaliq Script
A SoTA OCR model for Kashmiri (Nastaliq) trained using a Vision Transformer which beats Mistral and Google's multilingual OCR models on Kashmiri text understanding
torch.nn from scratch
An implementation of the torch.nn library from scratch which matches its speed on CPU
Solvable Lie Algebra Web Symbolic Calculator in C++
A fast C++ based symbolic algebra calculator for Lie Algebra computations.
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Blogs
Why Laplace Transform works, a Linear Algebra approach
A proof of why the Laplace transform helps solve ODEs using Linear Algebra after viewing differentiation as a linear map.
Functional Analytic Proof of the Prime Number Theorem
Writeup of all the details of a functional analytic proof of the Prime Number Theorem sketched out in Terry Tao's blog.
> current cv