About Me
I am a Postdoctoral Researcher at Inria, working with the CAPSULE Team in Rennes, France, under the supervision of Prof. Pierre-Alain Fouque and Dr. Yixin Shen. My core research focus is privacy-preserving computation and post-quantum cryptography — building secure, efficient protocols using Fully Homomorphic Encryption (FHE), Secure Multi-Party Computation (MPC), and Zero-Knowledge Proofs (ZKPs), grounded in strong mathematical foundations.
My research spans the design and analysis of FHE-based and MPC-based cryptographic schemes, verifiable computation, post-quantum digital signatures, and their real-world applicability in areas such as cloud security, privacy-preserving machine learning, and secure data sharing. During my time working at QNu Labs, I also gained industry exposure to NIST PQC standards (ML-KEM, ML-DSA) and worked on related implementation and analysis tasks — broadening my perspective on the gap between theory and deployment.
I completed my Ph.D. in Mathematics at MNNIT Allahabad (Prayagraj) (2022–2025) and was selected as one of three global laureates for the Post-Quantum Algebraic Cryptography trimester at the Institut Henri Poincaré, Paris. I am also an alumnus of the Mathematics Training and Talent Search (MTTS) programme — an experience that deeply shaped my love for mathematical thinking and exposition.
Beyond research, I genuinely love teaching. I find great joy in making deep mathematical and cryptographic ideas accessible — from undergraduate classrooms to international workshops. The MTTS pedagogy of inquiry-based, student-centred learning has been a lasting influence on my teaching methodology, and I continue to bring that spirit into every lecture, seminar, and mentoring interaction.
Education
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Ph.D. in Mathematics (2022 – 2025)
MNNIT Allahabad, India
Thesis: A Study of Secure Computation using Post-Quantum Cryptography
Advisor: Dr. Sahadeo Padhye
- Proposed efficient Dynamic Multi-Party FHE frameworks based on GSW and FHEW, enabling scalable secure computation in decentralized environments.
- Developed a multi-key FHE scheme over integers with batching mechanisms for parallel operations in large-scale MPC.
- Designed FHE-Pro, integrating Proxy Re-encryption to enable non-interactive key generation and reduced communication complexity.
- Optimized homomorphic multiplication using bit decomposition, reducing computational complexity from quadratic to linear for structured data and PPML.
- Formalized SNARK-driven verifiable FHE mechanisms to ensure result integrity and privacy in outsourced cloud computations.
- Investigated VOLE-in-the-Head for constructing efficient post-quantum digital signatures.
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M.Sc. in Mathematics (2017 – 2019)
University of Mumbai, India
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B.Sc. in Mathematics (2014 – 2017)
NES Ratnam Degree College, Mumbai, India
Experience
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Postdoctoral Researcher
Inria — CAPSULE Team, Rennes, France · September 2026 – Present
Supervisors: Prof. Pierre-Alain Fouque and Dr. Yixin Shen
- Researching privacy-preserving and verifiable computation using Fully Homomorphic Encryption (FHE), Secure Multi-Party Computation (MPC), and Zero-Knowledge Proofs (ZKPs).
- Investigating efficient cryptographic protocols at the intersection of mathematical foundations, secure computation, and practical implementation.
- Developing approaches for verifiable and privacy-preserving computation in collaborative and outsourced settings.
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Applied Cryptographer
QNu Labs, Delhi, India · April 2026 – August 2026
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Cryptography Analyst
QNu Labs, Bangalore, India · June 2025 – March 2026
- Worked on algorithmic analysis and implementation tasks related to constant-time ML-KEM and ML-DSA, gaining exposure to physical leakage considerations in PQC deployments.
- Contributed to evaluation of masking and blinding approaches for post-quantum cryptographic primitives.
- Designed MPC and FHE-based protocol proposals for secure data sharing, focusing on reducing communication overhead and improving scalability.
- Studied and evaluated NIST PQC standards and global benchmarks to support internal transition planning.
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Trimester Laureate
Institut Henri Poincaré (IHP), Paris, France · September – December 2024
Selected as one of three global laureates for the IHP Trimester on Post-Quantum Algebraic Cryptography; worked with Prof. Ludovic Perret on MPC-in-the-Head-based signatures.
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Assistant Professor
KET's Vinayak Ganesh Vaze College, Mumbai, India · 2019 – 2022
- Taught undergraduate courses including Topology, Number Theory, and Cryptography.
Technical Skills
- Privacy-Preserving Computation: FHE (OpenFHE, SEAL, Lattigo), MPC (MP-SPDZ), ZKP (libsnark, Circom), Proxy Re-encryption, Secret Sharing
- Post-Quantum Cryptography: Lattice-based schemes, NIST PQC standards (ML-KEM, ML-DSA); libraries: PQClean, liboqs
- Programming Languages: C/C++ (Advanced), Python (Advanced — SageMath, NumPy, SciPy), Go (Intermediate), LaTeX
- Developer Tools & Platforms: Git, GitHub, Linux/Unix, VS Code
- Mathematics & Theory: Lattice-based cryptography, number theory, algebra, computational complexity
- Teaching & Communication: Undergraduate & graduate instruction, workshop facilitation, technical writing, MTTS inquiry-based pedagogy
- Languages: English (professional), Hindi (native), French (beginner)
Research Publications
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2025. Upadhyay, R.R., Padhye, S., Sahu, R.A., Saraswat, V.
Towards Privacy and Integrity: SNARK-Driven Verifiable FHE for Outsourced Computation.
ACNS 2025 Workshops. Springer LNCS.
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2025. Upadhyay, R.R., Padhye, S., Saraswat, V.
A Non-Interactive and Dynamic Multi-Party FHE Scheme Based on FHEW.
Peer-to-Peer Networking and Applications. (SCIE).
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2025. Upadhyay, R.R., Padhye, S.
A Non-Interactive and Secure Dynamic Multi-Party FHE Scheme.
International Journal of Information Security. (SCIE).
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2025. Kumar, R., Dabral, A., Upadhyay, R.R.
Cryptanalysis of a Lattice-Based Blind Ring Signature Scheme.
National Academy Science Letters. (SCIE).
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2025. Upadhyay, R.R., Padhye, S.
SoK: Digital Signatures from VOLEitH.
Human-2025 Symposium. Best Paper Award.
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2025. Upadhyay, R.R., Padhye, S.
Privacy-Preserving Image Retrieval Based on Threshold Secret Sharing.
Human-2025 Symposium.
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2024. Upadhyay, R.R., Padhye, S.
Efficient and Secure MPC Through Integration of FHE and Proxy Re-Encryption.
SN Computer Science.
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2024. Upadhyay, R.R., Padhye, S.
Advancements in FHE over the Integers: A Comprehensive Survey and Analysis.
Surveys in Mathematics and its Applications.
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2023. Upadhyay, R.R., Padhye, S.
Enhancing FHE Over the Integers: Beyond Binary Numbers and Batch Processing.
ICCNSML 2023. Springer LNNS.
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2023. Upadhyay, R.R., Padhye, S.
Multi-Key Fully Homomorphic Encryption Scheme Over the Integers.
REDCYSEC 2023. Springer LNNS.
Full list on Google Scholar.
Selected Invited Talks and Panels
- Invited talk: Post-Quantum Cryptography Across the Data Lifecycle: In Transit, At Rest, and In Computation at ICMMCISD-2026, VIT Vellore (June 3–5, 2026).
- Invited lecture: Alumni Lecture Series in Mathematics, University of Mumbai — A Gentle Introduction to Modern Cryptography (April 2026).
- Expert lectures (×3): VIT Vellore (September 10, 2025) — career pathways in cryptography; statistics in post-quantum cryptography; discrete mathematical approaches to PQC (200+ B.Tech./Integrated M.Tech students).
- Panelist: Industry Panel Discussion on “PQC Transition Strategy” at Future Proofing Through Quantum Resilience, SETS, Chennai (July 18, 2025; jointly organized by SETS, C-DAC, and CCA India).
- Conference talk: Presented Towards Privacy and Integrity: SNARK-Driven Verifiable FHE for Outsourced Computation at PrivCrypt 2025 (ACNS 2025 workshops), Munich, Germany (June 24, 2025).
- Symposium talk: Presented SoK: Digital Signatures from VOLEitH at the 3rd Doctoral Symposium on Human-Centered Computing (Human-2025), Kalyani, West Bengal (Best Paper Award, March 28, 2025).
- Student talk: Secure Computation at the Introductory Summer School in Cryptography, IESC Cargèse, Corsica (September 9–13, 2024; IHP trimester program).
- Invited talk: Secure Computation (FHE, MPC, and hybrid FHE–MPC) at the National Instructional Workshop on Cryptology (NIWC 2024), MNNIT Allahabad (July 2024).
- Tech talk: Secure Multi-Party Computation: A Gentle Introduction, SparQ series, QNu Labs (May 2024).
- Student talk: Secure computation with Fully Homomorphic Encryption at the CIMPA Research School on Post-Quantum Cryptography, Pondicherry University (December 11–21, 2023).
Awards & Grants
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June 2025 — Financial Support for PrivCrypt 2025 (CIMPA, CRSI, BOSCH), Munich, Germany.
For presenting Towards Privacy and Integrity: SNARK-Driven Verifiable FHE for Outsourced Computation at PrivCrypt 2025 (ACNS 2025 workshops).
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March 2025 — Best Paper Award, 3rd Doctoral Symposium on Human-Centered Computing (Human-2025), for SoK: Digital Signatures from VOLEitH.
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March 2025 — Student Stipend (IACR), Real World Crypto Symposium (RWC) 2025, Sofia, Bulgaria.
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March 2025 — Student Stipend, TPMPC 2025, IISc Bangalore.
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September – December 2024 — CIMPA Fellowship / Trimester Laureate, Institut Henri Poincaré (IHP), Paris, France.
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December 2023 — CIMPA Financial Support, CIMPA Research School, Pondicherry University, India.
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2022 — CSIR-UGC JRF and NET Qualification, CSIR, India.
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2021, 2022 — GATE Qualified, Ministry of Education, India.