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. N. Zhang, S. Fu and Franz Franchetti
   Towards Closing the Performance Gap for Cryptographic Kernels Between CPUs and Specialized Hardware
   Proc. IEEE/ACM International Symposium on Microarchitecture (MICRO), 2025
   
3. 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
   
4. 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
   

High performance computing (HPC) 

1. Y. Lan, L. Tang, N. Zhang, Y. Eum, James C. Hoe and Franz Franchetti
   A RISC-V Vector Extension for Multi-word Arithmetic
   Proc. Supercomputing (SC), 2025
   

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
   

ISA extension 

1. N. Zhang, S. Fu and Franz Franchetti
   Towards Closing the Performance Gap for Cryptographic Kernels Between CPUs and Specialized Hardware
   Proc. IEEE/ACM International Symposium on Microarchitecture (MICRO), 2025
   

Large integer arithmetic 

1. N. Zhang, S. Fu and Franz Franchetti
   Towards Closing the Performance Gap for Cryptographic Kernels Between CPUs and Specialized Hardware
   Proc. IEEE/ACM International Symposium on Microarchitecture (MICRO), 2025
   

Large language models 

1. Q. Oschatz, N. Zhang, M. Franusich and Franz Franchetti
   Towards Automated Reasoning Chains for Verification of LLM-Generated Scientific Code
   Proc. High Performance Extreme Computing (HPEC), 2025
   

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. Y. Lan, L. Tang, N. Zhang, Y. Eum, James C. Hoe and Franz Franchetti
   A RISC-V Vector Extension for Multi-word Arithmetic
   Proc. Supercomputing (SC), 2025
   
2. 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
   
3. 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. Y. Lan, L. Tang, N. Zhang, Y. Eum, James C. Hoe and Franz Franchetti
   A RISC-V Vector Extension for Multi-word Arithmetic
   Proc. Supercomputing (SC), 2025
   
2. 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
   
3. 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
   
4. 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
   
5. 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
   
6. 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
   

Numerical analysis 

1. Q. Oschatz, N. Zhang, M. Franusich and Franz Franchetti
   Towards Automated Reasoning Chains for Verification of LLM-Generated Scientific Code
   Proc. High Performance Extreme Computing (HPEC), 2025
   

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
   

Partial differential equations 

1. Q. Oschatz, N. Zhang, M. Franusich and Franz Franchetti
   Towards Automated Reasoning Chains for Verification of LLM-Generated Scientific Code
   Proc. High Performance Extreme Computing (HPEC), 2025
   

Performance model 

1. N. Zhang, S. Fu and Franz Franchetti
   Towards Closing the Performance Gap for Cryptographic Kernels Between CPUs and Specialized Hardware
   Proc. IEEE/ACM International Symposium on Microarchitecture (MICRO), 2025
   
2. 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
   

RISC-V 

1. Y. Lan, L. Tang, N. Zhang, Y. Eum, James C. Hoe and Franz Franchetti
   A RISC-V Vector Extension for Multi-word Arithmetic
   Proc. Supercomputing (SC), 2025
   

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. Q. Oschatz, N. Zhang, M. Franusich and Franz Franchetti
   Towards Automated Reasoning Chains for Verification of LLM-Generated Scientific Code
   Proc. High Performance Extreme Computing (HPEC), 2025
   
2. 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
   

Scientific computing 

1. Q. Oschatz, N. Zhang, M. Franusich and Franz Franchetti
   Towards Automated Reasoning Chains for Verification of LLM-Generated Scientific Code
   Proc. High Performance Extreme Computing (HPEC), 2025
   
2. 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
   

SIMD 

1. N. Zhang, S. Fu and Franz Franchetti
   Towards Closing the Performance Gap for Cryptographic Kernels Between CPUs and Specialized Hardware
   Proc. IEEE/ACM International Symposium on Microarchitecture (MICRO), 2025
   

SPIRAL 

1. Q. Oschatz, N. Zhang, M. Franusich and Franz Franchetti
   Towards Automated Reasoning Chains for Verification of LLM-Generated Scientific Code
   Proc. High Performance Extreme Computing (HPEC), 2025
   
2. 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
   

Publication interface designed and implemented by Patra Pantupat, Aliaksei Sandryhaila, and Markus Püschel
Electrical and Computer Engineering, Carnegie Mellon University, 2007