Jaeho Hwang

Seoul, South Korea

I am an AI and Applied Mathematics researcher. I received my Ph.D. in Mathematics with a specialization in Partial Differential Equations (PDEs).

Building upon a rigorous foundation in mathematical analysis and differential equations, my current research primarily focuses on Artificial Intelligence and Machine Learning, alongside continued theoretical investigations in PDEs. I am particularly interested in bridging first-principles mathematical theory with modern deep learning methodologies.

🤖 Artificial Intelligence

Current Primary Focus: Deep learning architectures, test-time adaptation, physics-informed machine learning (SciML), and data integration methods grounded in geometric and mathematical principles.

📐 Partial Differential Equations

Mathematical Foundation: Theoretical and numerical analysis of PDEs, boundary value problems, and dynamical systems, with extensive publication records in applied mathematics.

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selected publications

Certified Adaptive List Decoding for Error-Correcting Codes

Jaeho Hwang, Byung-Sun Won, and Uiwon Hwang

arXiv preprint arXiv:2610.27805, 2026

arXiv Bib

@article{hwang2026certified,
  title = {Certified Adaptive List Decoding for Error-Correcting Codes},
  author = {Hwang, Jaeho and Won, Byung-Sun and Hwang, Uiwon},
  journal = {arXiv preprint arXiv:2610.27805},
  year = {2026},
  keywords = {ai}
}

Quantum Tunneling-Aware Machine Learning: Physics-Derived Noise Models for Robust Deployment

Uiwon Hwang and Jaeho Hwang

arXiv preprint arXiv:2606.00741, 2026

arXiv Bib

@article{hwang2026quantum,
  title = {Quantum Tunneling-Aware Machine Learning: Physics-Derived Noise Models for Robust Deployment},
  author = {Hwang, Uiwon and Hwang, Jaeho},
  journal = {arXiv preprint arXiv:2606.00741},
  year = {2026},
  keywords = {ai}
}

PDE

A dichotomy for the global existence of solutions to reaction-diffusion equations and systems with time-dependent sources on bounded domains

Soon-Yeong Chung and Jaeho Hwang

Journal of Mathematical Analysis and Applications, 2026

Bib

@article{chung2026dichotomy,
  title = {A dichotomy for the global existence of solutions to reaction-diffusion equations and systems with time-dependent sources on bounded domains},
  author = {Chung, Soon-Yeong and Hwang, Jaeho},
  journal = {Journal of Mathematical Analysis and Applications},
  volume = {554},
  number = {1},
  pages = {129905},
  year = {2026},
  publisher = {Academic Press},
  keywords = {pde}
}

PDE

Blow-up phenomena for solutions to reaction-diffusion systems on networks

Soon-Yeong Chung and Jaeho Hwang

Differential and Integral Equations, 2026

Bib

@article{chung2026blow,
  title = {Blow-up phenomena for solutions to reaction-diffusion systems on networks},
  author = {Chung, Soon-Yeong and Hwang, Jaeho},
  journal = {Differential and Integral Equations},
  volume = {39},
  number = {5/6},
  pages = {389--416},
  year = {2026},
  publisher = {Khayyam Publishing, Inc. West Palm Beach, FL, USA},
  keywords = {pde}
}

PDE

Criteria for Blow-Up Phenomena for Solutions to Nonlinear Reaction–Diffusion Equations on Cones

Soon-Yeong Chung and Jaeho Hwang

Mathematical Methods in the Applied Sciences, 2025

Bib

@article{chung2025criteria,
  title = {Criteria for Blow-Up Phenomena for Solutions to Nonlinear Reaction--Diffusion Equations on Cones},
  author = {Chung, Soon-Yeong and Hwang, Jaeho},
  journal = {Mathematical Methods in the Applied Sciences},
  volume = {48},
  number = {16},
  pages = {15300--15310},
  year = {2025},
  keywords = {pde}
}