Dr. Krishna Swamy

Professor

Build a Statement of Purpose

Generate a tailored SOP for Dr. Krishna Swamy. Improve your application with a focused, well-structured draft.

Biography

Krishna Swamy is a leading researcher specializing in the development of foundational mathematical methods in machine learning and deep learning. His work integrates signal processing, data geometry, and topology to enable exploratory analysis, scientific inference, and prediction on large biomedical datasets. He focuses on geometric deep learning, employing methodologies that enhance the understanding of topology in high-dimensional data. His research encompasses learning complex representations that facilitate downstream analysis and address challenges in drug discovery and neuroscience. Furthermore, he specializes in multiscale graph signal processing, utilizing graph theory to analyze complex signals, and is engaged in various biomedical applications including stem cell development and behavioral neuroscience. He is affiliated with Yale's Computer Science and Applied Mathematics departments, contributing to interdisciplinary research initiatives aimed at leveraging computational tools across various fields.

Research Interests

Requirements for Yale University

Doctorate Program
Requirements
GPA Requirement
Required:3.5
GRE General
TOEFL
Listening
Required:25
Speaking
Required:26
Total
Required:100
IELTS
Speaking
Required:7.5
Overall
Required:7
Prerequisites
Bachelor's degree in Engineering, Physics, Chemistry, Computer Science, or Mathematics
Application Checklist
  • Statement of academic purpose
  • Unofficial transcripts
  • Three letters of recommendation
  • Application fee ($105)
  • Resume/CV
Specialization Notes

Administered via the Graduate School of Arts and Sciences (GSAS). GRE General is optional for PhD.