3rd year Undergrad Student majoring in Physics and Mathematics
I am an undergraduate student at IIT Roorkee working in pure and applied mathematics.
On the pure side, I am still exploring my primary focus, with strong interests in Abstract Algebra, Number Theory, Graph Theory, and Type Theory. My work in Type Theory has also led me to develop an appreciation for Category Theory.
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Formally characterized the algebraic structure of the Legendre PRF over prime extension fields and established that single-degree variants are subject to security reductions via passive differential analysis and active geometric queries. Designed a custom hardware kernel on Kria KV260's FPGA fabric accelerating the convolution operation over CKKS homomorphically encrypted data for secure inference. Complete C++ library implementing the BFV homomorphic encryption scheme from scratch, including polynomial arithmetic using NTT, key generation, and homomorphic operations. Clean-slate 32-bit RISC-V CPU core using SystemVerilog, featuring custom ISA subset, ALU, register file, memory controller, and pipelined execution. Built with simulation-first methodology. Bocconi University, Milan Working on Cortex M4 implementation of the FAEST Post-Quantum Digital Signature Algorithm for 3rd round submission of NIST Standardization Process. Supervised by Prof. Emmanuela Orsini ECE Department, IIT Roorkee Researching and developing high-performance custom hardware accelerators and software libraries for Fully Homomorphic Encryption (FHE) schemes (CKKS, TFHE), with a specialized focus on enabling Privacy-Preserving Neural Networks. Advanced Robotics Lab, IIT Roorkee Collaborated on advanced research in control systems and automation under Dr. M. Felix Orlando. Reviewed literature, proposed improvements to robotic control strategies, and contributed to multi-DOF robotic arm experiments. IIT Roorkee Motorsports Worked in electrical division of Formula Student racing team. Designed DC to 3-phase AC inverter PCB for electric drivetrain, contributed to motor control strategies and battery interface design. Our team (Aurva) was announced as global winners in the AMD Open Hardware 2025's Adaptive Computation Track for our work on accelerated convolution operation over CKKS Encryption. Supervisor: Dr. Tharun Kumar Reddy Bollu Solo member team (FossilizedPluto) achieved second position in CSAW Embedded Security Challenge 2025, attacking and mitigating firmware vulnerable to Side-Channel and Fault-Injection Attacks using the ChipWhisperer Nano board. Supervisor: Dr. Sparsh Mittal Poly-GRACE, a framework for self-supervised learning on graphs that is compatible with Homomorphic Encryption. By using polynomial-friendly graph encoders and a novel polynomial-based contrastive loss, Poly-GRACE enables privacy-preserving training while remaining competitive on benchmark datasets. Writing a free, online book on cryptanalysis of Lattice-Based Cryptography, which is the core of almost all modern and post-quantum cryptography primitives. Update: Chapter 1 is out! Studied the exising techinques and algorithms for cryptanalysis of the Legendre Pseudo-Random Function. Breaking down the mathematics behind the encoding process in the new Gentry-Lee FHE scheme. Designing complex Zero-Knowledge Proofs using simulated MPC protocols. Analyzing the need for "Gadget Decomposition" via noise analysis while performing homomorphic operations like ciphertext-plaintext multiplication, bootstrapping, key-switch, etc. Indian Institute of Technology, Roorkee Relevant Coursework: Number Theory, Linear Algebra, Real Analysis, Complex Analysis, Graph Theory, Statistics and Probability, Mathematical Methods (ODEs, PDEs, Transformations), Topology, Algebraic Topology, Riemannian Geometry, Homotopy Theory, Signals and Systems, Mathematical Physics, Analog Electronics, Digital Electronics, Introduction to Robotics, Quantum Mechanics, Thermodynamics, Statistical Mechanics. © 2026 Daksh Pandey Research Interests
Projects
Cryptanalysis of the Legendre PRF over Extension Fields (Apr 2026)
FPGA Accelerated Convolutional Unit over CKKS Homomorphically Encrypted Data (Sep 2025)
BFV Homomorphic Encryption Scheme Library (May 2025)
Custom RISC-V CPU Core in HDL (Apr 2025)
Experience
Undergraduate Student Researcher (Remote) January 2026 - April 2026
Cryptography Research and Development (April 2025 - November 2025)
Undergraduate Research Assistant (July 2024 - Feb 2025)
E-Powertrain Engineer (March 2024 - February 2025)
Achievements
Global Winners in AMD Open Hardware Competition (2025)
2nd Position in CSAW Embedded Security Challenge (2025)
Publications
Polynomial Contrastive Learning for Privacy-Preserving Representation Learning on Graphs (September 19, 2025)
Cryptanalysis of Lattice-Based Cryptography (a work in progress book)
Blog Posts
Cryptanalysis of the Legendre PRF (April 2026)
Gentry-Lee Encoding for Efficient Matrix FHE (December 2025)
MPC in the Head (MPCitH) (December 2025)
Need for Gadget Decomposition in LWE Based Cryptosystems (September 2025)
Education
B.Tech Engineering Physics (minor in Mathematics and Computing) (2023 - 2027)