Satish Kumar

PhD Research Scholar in Statistics | IIT Kanpur

About Me

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I am a research scholar in the Department of Mathematics and Statistics at the Indian Institute of Technology Kanpur, pursuing my PhD under the supervision of Prof. Subhra Sankar Dhar. My research interest lies at the intersection of statistics and topological data analysis (TDA). In particular, the research I pursue is concerned with incorporating statistical techniques into the TDA framework as well as applying TDA methods in a complementary fashion to conventional statistical approaches.

Research Interests

Topological Data Analysis

Publications

Article

Testing Homological Equivalence Using Betti Numbers: Probabilistic Properties

Satish Kumar and Subhra Sankar Dhar

To appear in SIAM: Theory of Probability and Its Applications

[arXiv]
Article

A novel characterization of structures in smooth regression curves: from a viewpoint of persistent homology

Satish Kumar and Subhra Sankar Dhar

Electronic Journal of Statistics (2026)

[Link] [arXiv]
Preprint

Identifying Topological Differences in Two Populations of Random Geometric Objects

Satish Kumar and Subhra Sankar Dhar

[arXiv]

Education

Doctor of Philosophy

Statistics (ongoing)

Department of Mathematics and Statistics
Indian Institute of Technology, Kanpur, India

Master of Science

Statistics

Department of Mathematics and Statistics
Indian Institute of Technology, Kanpur, India

Bachelor of Science

Statistics

Department of Statistics
P.P.N. College, Kanpur University, India

Teaching Experience

Teaching Assistantship

MTH102A, Linear Algebra, and Ordinary Differential Equations, Even Sem, 2020-21
MTH101A, Mathematics-1, Odd Sem, 2021-2022
MSO201A, Probability and Statistics, Even Sem, 2021-22
MTH 432A, Introduction to Sampling Theory, Odd Sem, 2022-23
MSO201A, Probability and Statistics, Even Sem, 2022-23
MSO205A, Introduction to Probability Theory, Odd Sem, 2023-2024
MTH312A, Data Science Lab 3, Even Sem, 2023-2024
MTH443A, Statistical & AI Techniques in Data Mining, Odd Sem, 2024-2025

Conferences

Contributed Speaker Annual Departmental Open House 2023, IIT Kanpur
Contributed Speaker The Sixth Institute of Mathematical Statistics Asia Pacific Rim Meeting (IMS APRM)
January 4–7, 2024, Melbourne, Australia
Contributed Speaker Annual Departmental Open House 2024, IIT Kanpur

Other Experiences

Student DPGC Representative, Session 2022-23
Nominated by the Department of Mathematics and Statistics, IIT Kanpur
Student DPGC Representative, Session 2023-24
Nominated by SPGC, Department of Mathematics and Statistics, IIT Kanpur

Contact Information

Email

Official Email: satsh@iitk.ac.in | Personal Email: satsh636@gmail.com

Mailing Address

310 B, New Core Lab
Department of Mathematics and Statistics
Indian Institute of Technology, Kanpur
Kanpur, India