Research

Research is a way of life, a mindset, a gateway to collaboration, and my current dominant enterprise.
Click text or scroll down for: my research interests; PhD-stage research; and undergrad-stage research.
Some of these are clickable (underlined title) so you can learn more!

My Research Interests

High-Dimensional Statistics

With a large number of features (p ~ 100'000) and small number of samples (n ~ 1'000), how can you meaningfully analyze data?

High-Performance Computing

How can we build vectorized or massively parallel methods to solve iterative problems 1'000x faster using GPUs and similar?

Compression of Large Systems

How can we shrink (e.g. sparsify, quantize) huge objects (LLMs, datasets) to reduce memory & latency and preserve accuracy?

Efficient Optimiza-tion Algorithms

How do we design exact and heuristic algorithms to solve a problem without hitting the at scale intractability wall?

Agentic Artificial Intelligence

How can we advance agent capabilities at the foundational (fundamental, theoretical) and implementational levels?

Data Discovery
and Analysis

Given an unorganized mass of information (e.g. legal texts), how do we summarize, visualize, and operationalize it?

PhD-Stage Research (09/2024 and later)

ICLR 2027 Submission • June 2026 -

This item is redacted because of anonymity requirements for ICLR submissions.

ICLR 2027 Submission • June 2026 -

This item is redacted because of anonymity requirements for ICLR submissions.

ADMM-Q: An Improved Hessian-based Weight Quantizer for Post-Training Quantization of Large Language Models

COLM 2026 • Ryan Lucas, Mehdi Makni, Xiang Meng, Adam Deng, Rahul Mazumder

A quantization method based on ADMM which improves model performance.

Feb 2025 - May 2025

Assessing the randomness of stock price movements through a novel and robust metric, concordance.

Sep 2024 - May 2025

Characterizing and assessing neural collapse under different loss functions.

Sep. 2024 - Apr. 2025

Computing the Tukey Depth for points in space using GPU acceleration.

Undergrad-Stage Research (08/2024 and earlier)
Optimization of Singapore ICT Systems

2/3/23 -

An algorithm design and optimization project in MIT's ORC (Operations Research Center).

Pivot Languages & Language Families in Machine Translation

9/29/22 - 12/16/22

A project with Cerine Hamida and Maria Christina Kalogera for 6.861 NLP!

Simulation of Radiation Defects

3/15/21 - 9/14/21, 2/1/22 - 4/5/22

I simulated tokamak damage from flying neutrons.

WikipediaBase

6/3/21 - 9/3/21

Debugging and parsing for START, MIT's 30-year-old NLP-based question-answering system.
Worked with the CSAIL Infolab.

Oud Corpora Analysis

2/15/21 - 5/20/21

Analysis and prediction generation about Turkish Oud music through the Python module music21.

Tetrahedra

Feb 2021 - May 2021

Solving questions related to 3d space-filling tetrahedra arrangements.