Shankha Shubhra Mukherjee
I am a Ph.D. candidate in Computer Science and Engineering at the University of Notre Dame, advised by Erin Wolf Chambers. My research develops algorithms and mathematical tools for computational topology, computational geometry, and topological data analysis, with applications to shape analysis, geometric machine learning, scientific computing, and scalable TDA.
About
My work sits at the intersection of algorithms, geometry, topology, and data analysis. I am interested in how topological and geometric structure can be represented, computed, visualized, and used in robust learning pipelines. In my current research, I study objects such as persistent homology, Reeb graphs and Reeb transforms, symmetry sets, vineyards, and monodromy-based signatures.
Before Notre Dame, I completed a B.Tech. in Electronics and Communication Engineering at Jalpaiguri Government Engineering College in India. My earlier research also included work on cybersecurity, cryptography, blockchain systems, decentralized data sharing, and graph-based privacy/authentication systems.
Research
I design mathematically grounded methods for extracting geometric and topological structure from complex data, with emphasis on correctness, stability, complexity, and implementability.
Computational Topology & TDA
Algorithms and theoretical tools for persistent homology, Reeb graphs, Reeb transforms, vineyards, and related structures used to summarize complex data.
Geometry-Aware Data Analysis
Topology-inspired features for shape classification and robust learning, including monodromy-based signatures for persistence data.
Algorithms, Visualization & Systems
Translation of mathematical constructions into implementable algorithms, visual tools, and experimental pipelines using Python, C/C++, and mathematical computing tools.
Selected Projects
Braid Signatures of Persistence In preparation
Developing monodromy-inspired features for persistence data, motivated by robust shape classification and interpretable learning.
The Reeb Transform Submitted
Studying Reeb-graph-based transforms for encoding shape and topological information in forms suitable for algorithmic analysis.
Bouquet EuroCG 2026
A visualization tool for symmetry sets and vineyards, supporting exploration of geometric and topological structure.
Web3DB
A decentralized relational DBMS architecture with blockchain-based fine-grained access control, developed as part of earlier work in secure and decentralized data sharing.
Selected Publications & Manuscripts
Bouquet: A Visualization Tool for Symmetry Sets and Vineyards
Authors: Erin Wolf Chambers, Christopher Fillmore, Shankha Shubhra Mukherjee, Rohit Roy, Elizabeth Stephenson, Mathijs Wintraecken.
EuroCG 2026. Authors listed alphabetically.
The Reeb Transform
Authors: Erin Wolf Chambers, Shankha Shubhra Mukherjee, Katharine Turner.
Submitted to La Matematica. Authors listed alphabetically.
The Symmetry Set as a Knitting Pattern for Vineyards
Authors: Erin Chambers, Christopher Fillmore, Shankha Shubhra Mukherjee, Rohit Roy, Elizabeth Stephenson, Mathijs Wintraecken.
Submitted to SODA 2027. Authors listed alphabetically.
Braid Signatures of Persistence: Monodromy Features for Shape Classification and Robust Learning
Authors: Erin Chambers, Mattie Ji, Shankha Shubhra Mukherjee.
In preparation. Authors listed alphabetically.
Web3DB: Towards Decentralized Relational DBMS with Blockchain-Based Access Control
Authors: Shankha Shubhra Mukherjee, Wenyi Tang, Gustavo Aniceto, Jake Chandler, WenZhan Song, Taeho Jung.
IEEE GBC 2025.
GrAC: Graph-Based Anonymous Credentials From Identity Graphs on Blockchain
Authors: Wenyi Tang, Shankha Shubhra Mukherjee, Seongho Park, Changhao Chenli, Hyonok Oh, Jihye Kim, Taeho Jung.
IEEE Blockchain 2024.
PrivHChain: Monitoring the Supply Chain of Controlled Substances with Privacy-Preserving Hierarchical Blockchain
Authors: Hyeonbum Lee, Kyuhwan Lee, Wenyi Tang, Shankha Shubhra Mukherjee, Jae Hong Seo, Taeho Jung.
IEEE ICBC 2024.
SCAFT: A Scalable Crowd-Assisted Fair Trading Protocol
Authors: Changhao Chenli, Wenyi Tang, Shankha Shubhra Mukherjee, Taeho Jung.
IEEE Blockchain 2024.
Talks, Teaching & Community
Selected Talks
- Selected talk, Young Researchers Forum, Symposium on Computational Geometry, 2026.
- Selected talk, Young Researchers Forum, Symposium on Computational Geometry, 2025.
- Selected talk, 11th Conference in Algebraic Topology: Methods, Computation, & Science, 2025.
- Invited talk, Graduate Student Seminar, Department of Mathematics, University of Tennessee, Knoxville, Apr. 2025.
- Invited talk, Geometry & Topology in Machine Learning Seminar, 2025.
Teaching & Service
- Graduate Teaching Assistant, University of Notre Dame, Department of Computer Science and Engineering.
- CSE 60111 Complexity and Algorithms.
- CSE 40113 Design and Analysis of Algorithms.
- CSE 40622 Cryptography.
- Peer reviewer: EAI SecureComm 2024; IEEE ICBC 2024.
Links
Contact
Office: 150C Fitzpatrick Hall of Engineering, University of Notre Dame
Email: smukher4 [at] nd [dot] edu
I am always happy to hear from students and researchers interested in computational topology, computational geometry, topological data analysis, and related algorithmic problems.