Marcel Hudiani

About Me

I am a fifth year graduate student in mathematics studying probability and stochastic processes at the University of Arizona. Before I became a graduate student, I was a product engineer and pre-silicon validation engineer at Intel Corporation from 2011 to 2016. I received my M.S.E in Electrical Engineering from Arizona State in 2012 and B.Sc in Mathematics from the University of Arizona in 2021. I am interested in the connection and applications of probability and stochastic processes in mathematics and other fields, including interacting particle system, stochastic partial differential equation, artificial intelligence. I am also interested in numerical simulations of equations with singular coefficients.

Publications

1. Hudiani, M., Landim, C., and Sethuraman, S. (2025). Singular Diffusion Limit of a Tagged Particle in Zero Range Processes with Sinai-type Random Environment. Submitted to Annales de l'institut Henri Poincaré [arXiv]
2. Hudiani, M. (2025). Convergence Rate for the Last Iterate of Stochastic Gradient Descent Schemes. Accepted to Computing Conference 2026 [arXiv]
3. Hudiani, M. (2025). Asymptotic of Brox Diffusion with Interaction. In progress

Presentations

• Math Physics and Probability Colloquium, University of Arizona, Feb 18th 2026 - Convergence Rate for Stochastic Gradient Schemes
• Rossfest 70 - Singular Diffusion Limit of a Tagged Particle in ZRP with Sinai-type Random Environment
• Math Physics and Probability Colloquium, University of Arizona, Fall 2024 - Singular Diffusion Limit of a Tagged Particle in ZRP with Sinai-type Random Environment
• Graduate Student Probability Conference 2024 - Tagged Particle Dynamics in ZRP with Sinai-type Random Environment
• 6th Cincinnati Symposium in Probability - Tagged Particle Dynamics in ZRP with Sinai-type Random Environment

Summer Schools

• Lean for PDE, Oct 6th,7th,9th 2025, SL Math and ICARM (online)
• Summer School 2024: PDE and Randomness, Brin Mathematical Research Center, University of Maryland College Park
• Summer School 2023: Concentration Inequality and Localization in High Dimensional Probability and Geometry, Simons Laufer Mathematical Institute, Berkeley, CA

Community Service

• MathCats: University of Arizona Mathematics Undergraduate Student Club, April 8th, 2026, Graduate Student Panel
• MathCats: University of Arizona Mathematics Undergraduate Student Club, March 25th, 2026, Excursions in Math through Randomness
• Volunteer at "Math Booth" for Tucson Festival of Books 2022
• Volunteer at Casa Alitas Welcome Center, Winter 2019
• Project SOAR Mentor and STEM mentor for UA Catalyst, Fall 2019
• Volunteer as an interpreter for International Science and Engineering Fair (ISEF), May 2013

Notes

• Fathi, M., Hudiani, M., and Wang, J. (2023). Lecture notes on Concentration and Localization in Probability and Geometry. [PDF]
• Hudiani, M. (2025). Recurrence and Transience Boundary for 1-D Random Walk [PDF]

Teaching

• MATH 254: Ordinary Differential Equations – University of Arizona, Spr 2024, F 2024, Spr 2025, Spr 2026
• MATH 263R: Intro to BioStatistics/Statistics – University of Arizona, F 2025
• EdX Certificate for Inclusive STEM Teaching (Fall 2024)
• MATH 120R: Pre-calculus - University of Arizona, Spr 2022, F 2022, F 2023

Honors and Awards

• College of Science Math Scholar, University of Arizona, Spring 2025
• Galileo Scholar, University of Arizona, Spring 2025
• MacCorquodale Study Abroad Scholarship, University of Arizona, 2020
• Roy Graesser Foundation Scholarship, University of Arizona, 2019
• Intel Division Recognition Award, 2012, 2015
• Intel Project Recognition Award, 2015