Publications

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Corresponding bibtex list 

Acceleration 

  1. N. Zhang, H. Gamil, P. Brinich, B. Reynwar, A. Al Badawi, N. Neda, D. Soni, K. Canida, Y. Polyakov, P. Broderick, M. Maniatakos, A. G. Schmidt, M. Franusich, Jeremy Johnson, B. Reagen, D. B. Cousins and Franz Franchetti
    Towards Full-Stack Acceleration for Fully Homomorphic Encryption
    Proc. High Performance Extreme Computing (HPEC), 2022

Architecture 

  1. N. Zhang, A. Ebel, N. Neda, P. Brinich, B. Reynwar, A. G. Schmidt, M. Franusich, Jeremy Johnson, B. Reagen and Franz Franchetti
    Generating High-Performance Number Theoretic Transform Implementations for Vector Architectures
    Proc. IEEE High Performance Extreme Computing (HPEC), 2023

BLAS 

  1. N. Zhang and Franz Franchetti
    Code Generation for Cryptographic Kernels using Multi-word Modular Arithmetic on GPU
    Proc. International Symposium on Code Generation and Optimization (CGO), 2025

Code generator 

  1. N. Zhang and Franz Franchetti
    Code Generation for Cryptographic Kernels using Multi-word Modular Arithmetic on GPU
    Proc. International Symposium on Code Generation and Optimization (CGO), 2025

CPUs 

  1. S. Fu, N. Zhang and Franz Franchetti
    Accelerating High-Precision Number Theoretic Transforms using Intel AVX-512
    Proc. Parallel Architectures and Compilation Techniques (PACT), 2024

Cryptography 

  1. N. Zhang and Franz Franchetti
    Code Generation for Cryptographic Kernels using Multi-word Modular Arithmetic on GPU
    Proc. International Symposium on Code Generation and Optimization (CGO), 2025
  2. D. Soni, N. Neda, N. Zhang, B. Reynwar, H. Gamil, B. Heyman, M. N. T. Moopan, A. Al Badawi, Y. Polyakov, K. Canida, M. Pedram, M. Maniatakos, D. B. Cousins, Franz Franchetti, M. French, A. G. Schmidt and B. Reagen
    RPU: The Ring Processing Unit
    Cryptology ePrint Archive, 2023
  3. D. B. Cousins, Y. Polyakov, A. Al Badawi, M. French, A. G. Schmidt, A. Jacob, B. Reynwar, K. Canida, A. Jaiswal, C. Mathew, H. Gamil, N. Neda, D. Soni, M. Maniatakos, B. Reagen, N. Zhang, Franz Franchetti, P. Brinich, Jeremy Johnson, P. Broderick, M. Franusich, B. Zhang, Z. Cheng and M. Pedram
    TREBUCHET: Fully Homomorphic Encryption Accelerator for Deep Computation
    arXiv, 2023

Distributed, parallel, and cluster computing 

  1. D. B. Cousins, Y. Polyakov, A. Al Badawi, M. French, A. G. Schmidt, A. Jacob, B. Reynwar, K. Canida, A. Jaiswal, C. Mathew, H. Gamil, N. Neda, D. Soni, M. Maniatakos, B. Reagen, N. Zhang, Franz Franchetti, P. Brinich, Jeremy Johnson, P. Broderick, M. Franusich, B. Zhang, Z. Cheng and M. Pedram
    TREBUCHET: Fully Homomorphic Encryption Accelerator for Deep Computation
    arXiv, 2023

Fast Fourier Transform 

  1. N. Zhang, Sanil Rao, M. Franusich and Franz Franchetti
    Towards Semantics Lifting for Scientific Computing: A Case Study on FFT
    Proc. ACM SIGPLAN Symposium on Principles of Programming Languages (POPL), 2025

FFT 

  1. N. Zhang, Sanil Rao, M. Franusich and Franz Franchetti
    Towards Semantics Lifting for Scientific Computing: A Case Study on FFT
    Proc. ACM SIGPLAN Symposium on Principles of Programming Languages (POPL), 2025

FHE Hardward 

  1. D. Soni, N. Neda, N. Zhang, B. Reynwar, H. Gamil, B. Heyman, M. N. T. Moopan, A. Al Badawi, Y. Polyakov, K. Canida, M. Pedram, M. Maniatakos, D. B. Cousins, Franz Franchetti, M. French, A. G. Schmidt and B. Reagen
    RPU: The Ring Processing Unit
    Cryptology ePrint Archive, 2023

Hardware accelerator 

  1. D. Soni, N. Neda, N. Zhang, B. Reynwar, H. Gamil, B. Heyman, M. N. T. Moopan, A. Al Badawi, Y. Polyakov, K. Canida, M. Pedram, M. Maniatakos, D. B. Cousins, Franz Franchetti, M. French, A. G. Schmidt and B. Reagen
    RPU: The Ring Processing Unit
    Cryptology ePrint Archive, 2023

Hardware architecture 

  1. D. B. Cousins, Y. Polyakov, A. Al Badawi, M. French, A. G. Schmidt, A. Jacob, B. Reynwar, K. Canida, A. Jaiswal, C. Mathew, H. Gamil, N. Neda, D. Soni, M. Maniatakos, B. Reagen, N. Zhang, Franz Franchetti, P. Brinich, Jeremy Johnson, P. Broderick, M. Franusich, B. Zhang, Z. Cheng and M. Pedram
    TREBUCHET: Fully Homomorphic Encryption Accelerator for Deep Computation
    arXiv, 2023

High performance 

  1. N. Zhang, A. Ebel, N. Neda, P. Brinich, B. Reynwar, A. G. Schmidt, M. Franusich, Jeremy Johnson, B. Reagen and Franz Franchetti
    Generating High-Performance Number Theoretic Transform Implementations for Vector Architectures
    Proc. IEEE High Performance Extreme Computing (HPEC), 2023
  2. D. B. Cousins, Y. Polyakov, A. Al Badawi, M. French, A. G. Schmidt, A. Jacob, B. Reynwar, K. Canida, A. Jaiswal, C. Mathew, H. Gamil, N. Neda, D. Soni, M. Maniatakos, B. Reagen, N. Zhang, Franz Franchetti, P. Brinich, Jeremy Johnson, P. Broderick, M. Franusich, B. Zhang, Z. Cheng and M. Pedram
    TREBUCHET: Fully Homomorphic Encryption Accelerator for Deep Computation
    arXiv, 2023

Homomorphic encryption 

  1. S. Fu, N. Zhang and Franz Franchetti
    Accelerating High-Precision Number Theoretic Transforms using Intel AVX-512
    Proc. Parallel Architectures and Compilation Techniques (PACT), 2024
  2. D. Soni, N. Neda, N. Zhang, B. Reynwar, H. Gamil, B. Heyman, M. N. T. Moopan, A. Al Badawi, Y. Polyakov, K. Canida, M. Pedram, M. Maniatakos, D. B. Cousins, Franz Franchetti, M. French, A. G. Schmidt and B. Reagen
    RPU: The Ring Processing Unit
    Cryptology ePrint Archive, 2023
  3. N. Zhang, H. Gamil, P. Brinich, B. Reynwar, A. Al Badawi, N. Neda, D. Soni, K. Canida, Y. Polyakov, P. Broderick, M. Maniatakos, A. G. Schmidt, M. Franusich, Jeremy Johnson, B. Reagen, D. B. Cousins and Franz Franchetti
    Towards Full-Stack Acceleration for Fully Homomorphic Encryption
    Proc. High Performance Extreme Computing (HPEC), 2022

Modular 

  1. N. Zhang and Franz Franchetti
    Code Generation for Cryptographic Kernels using Multi-word Modular Arithmetic on GPU
    Proc. International Symposium on Code Generation and Optimization (CGO), 2025

Multi-word arithmetic 

  1. N. Zhang and Franz Franchetti
    Code Generation for Cryptographic Kernels using Multi-word Modular Arithmetic on GPU
    Proc. International Symposium on Code Generation and Optimization (CGO), 2025
  2. Y. Eum, N. Zhang, L. Tang and Franz Franchetti
    Towards a RISC-V Instruction Set Extension for Multi-word Arithmetic
    Proc. High Performance Extreme Computing (HPEC), 2024

Multi-word integer 

  1. N. Zhang and Franz Franchetti
    Generating Number Theoretic Transforms for Multi-Word Integer Data Types
    Proc. International Symposium on Code Generation and Optimization (CGO), 2023

NTT 

  1. D. Soni, N. Neda, N. Zhang, B. Reynwar, H. Gamil, B. Heyman, M. N. T. Moopan, A. Al Badawi, Y. Polyakov, K. Canida, M. Pedram, M. Maniatakos, D. B. Cousins, Franz Franchetti, M. French, A. G. Schmidt and B. Reagen
    RPU: The Ring Processing Unit
    Cryptology ePrint Archive, 2023

Number theoretic transforms 

  1. N. Zhang and Franz Franchetti
    Code Generation for Cryptographic Kernels using Multi-word Modular Arithmetic on GPU
    Proc. International Symposium on Code Generation and Optimization (CGO), 2025
  2. S. Fu, N. Zhang and Franz Franchetti
    Accelerating High-Precision Number Theoretic Transforms using Intel AVX-512
    Proc. Parallel Architectures and Compilation Techniques (PACT), 2024
  3. N. Zhang, A. Ebel, N. Neda, P. Brinich, B. Reynwar, A. G. Schmidt, M. Franusich, Jeremy Johnson, B. Reagen and Franz Franchetti
    Generating High-Performance Number Theoretic Transform Implementations for Vector Architectures
    Proc. IEEE High Performance Extreme Computing (HPEC), 2023
  4. N. Zhang and Franz Franchetti
    Generating Number Theoretic Transforms for Multi-Word Integer Data Types
    Proc. International Symposium on Code Generation and Optimization (CGO), 2023
  5. P. Brinich, N. Zhang, A. Ebel, Franz Franchetti and Jeremy Johnson
    Twiddle Factor Generation for a Vectorized Number Theoretic Transform
    Proc. IEEE High Performance Extreme Computing (HPEC), 2023

Optimizing 

  1. D. Sun, N. Zhang and Franz Franchetti
    Optimization and Performance Analysis of Shor’s Algorithm in Qiskit
    Proc. IEEE High Performance Extreme Computing (HPEC), 2023

Performance model 

  1. D. Sun, N. Zhang and Franz Franchetti
    Optimization and Performance Analysis of Shor’s Algorithm in Qiskit
    Proc. IEEE High Performance Extreme Computing (HPEC), 2023

Qiskit 

  1. D. Sun, N. Zhang and Franz Franchetti
    Optimization and Performance Analysis of Shor’s Algorithm in Qiskit
    Proc. IEEE High Performance Extreme Computing (HPEC), 2023

Rewrite system 

  1. N. Zhang and Franz Franchetti
    Code Generation for Cryptographic Kernels using Multi-word Modular Arithmetic on GPU
    Proc. International Symposium on Code Generation and Optimization (CGO), 2025

Ring Processing 

  1. D. Soni, N. Neda, N. Zhang, B. Reynwar, H. Gamil, B. Heyman, M. N. T. Moopan, A. Al Badawi, Y. Polyakov, K. Canida, M. Pedram, M. Maniatakos, D. B. Cousins, Franz Franchetti, M. French, A. G. Schmidt and B. Reagen
    RPU: The Ring Processing Unit
    Cryptology ePrint Archive, 2023
  2. D. Soni, N. Neda, N. Zhang, B. Reynwar, H. Gamil, B. Heyman, M. N. T. Moopan, A. Al Badawi, Y. Polyakov, K. Canida, M. Pedram, M. Maniatakos, D. B. Cousins, Franz Franchetti, M. French, A. G. Schmidt and B. Reagen
    RPU: The Ring Processing Unit
    Proc. IEEE International Symposium on Performance Analysis of Systems and Software (ISPASS), 2023

RPU 

  1. D. Soni, N. Neda, N. Zhang, B. Reynwar, H. Gamil, B. Heyman, M. N. T. Moopan, A. Al Badawi, Y. Polyakov, K. Canida, M. Pedram, M. Maniatakos, D. B. Cousins, Franz Franchetti, M. French, A. G. Schmidt and B. Reagen
    RPU: The Ring Processing Unit
    Cryptology ePrint Archive, 2023
  2. D. Soni, N. Neda, N. Zhang, B. Reynwar, H. Gamil, B. Heyman, M. N. T. Moopan, A. Al Badawi, Y. Polyakov, K. Canida, M. Pedram, M. Maniatakos, D. B. Cousins, Franz Franchetti, M. French, A. G. Schmidt and B. Reagen
    RPU: The Ring Processing Unit
    Proc. IEEE International Symposium on Performance Analysis of Systems and Software (ISPASS), 2023

Scientific computing 

  1. N. Zhang, Sanil Rao, M. Franusich and Franz Franchetti
    Towards Semantics Lifting for Scientific Computing: A Case Study on FFT
    Proc. ACM SIGPLAN Symposium on Principles of Programming Languages (POPL), 2025

Security 

  1. D. B. Cousins, Y. Polyakov, A. Al Badawi, M. French, A. G. Schmidt, A. Jacob, B. Reynwar, K. Canida, A. Jaiswal, C. Mathew, H. Gamil, N. Neda, D. Soni, M. Maniatakos, B. Reagen, N. Zhang, Franz Franchetti, P. Brinich, Jeremy Johnson, P. Broderick, M. Franusich, B. Zhang, Z. Cheng and M. Pedram
    TREBUCHET: Fully Homomorphic Encryption Accelerator for Deep Computation
    arXiv, 2023

Semantics 

  1. N. Zhang, Sanil Rao, M. Franusich and Franz Franchetti
    Towards Semantics Lifting for Scientific Computing: A Case Study on FFT
    Proc. ACM SIGPLAN Symposium on Principles of Programming Languages (POPL), 2025

Semantics lifting 

  1. N. Zhang, Sanil Rao, M. Franusich and Franz Franchetti
    Towards Semantics Lifting for Scientific Computing: A Case Study on FFT
    Proc. ACM SIGPLAN Symposium on Principles of Programming Languages (POPL), 2025

Shor's algorithm 

  1. D. Sun, N. Zhang and Franz Franchetti
    Optimization and Performance Analysis of Shor’s Algorithm in Qiskit
    Proc. IEEE High Performance Extreme Computing (HPEC), 2023

SPIRAL 

  1. N. Zhang, Sanil Rao, M. Franusich and Franz Franchetti
    Towards Semantics Lifting for Scientific Computing: A Case Study on FFT
    Proc. ACM SIGPLAN Symposium on Principles of Programming Languages (POPL), 2025

Static analysis 

  1. N. Zhang, Sanil Rao, M. Franusich and Franz Franchetti
    Towards Semantics Lifting for Scientific Computing: A Case Study on FFT
    Proc. ACM SIGPLAN Symposium on Principles of Programming Languages (POPL), 2025

Transform 

  1. S. Fu, N. Zhang and Franz Franchetti
    Accelerating High-Precision Number Theoretic Transforms using Intel AVX-512
    Proc. Parallel Architectures and Compilation Techniques (PACT), 2024

Twiddle factor generation 

  1. P. Brinich, N. Zhang, A. Ebel, Franz Franchetti and Jeremy Johnson
    Twiddle Factor Generation for a Vectorized Number Theoretic Transform
    Proc. IEEE High Performance Extreme Computing (HPEC), 2023

Vector 

  1. S. Fu, N. Zhang and Franz Franchetti
    Accelerating High-Precision Number Theoretic Transforms using Intel AVX-512
    Proc. Parallel Architectures and Compilation Techniques (PACT), 2024
  2. N. Zhang, A. Ebel, N. Neda, P. Brinich, B. Reynwar, A. G. Schmidt, M. Franusich, Jeremy Johnson, B. Reagen and Franz Franchetti
    Generating High-Performance Number Theoretic Transform Implementations for Vector Architectures
    Proc. IEEE High Performance Extreme Computing (HPEC), 2023
  3. P. Brinich, N. Zhang, A. Ebel, Franz Franchetti and Jeremy Johnson
    Twiddle Factor Generation for a Vectorized Number Theoretic Transform
    Proc. IEEE High Performance Extreme Computing (HPEC), 2023
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Electrical and Computer Engineering, Carnegie Mellon University, 2007