Welcome to my page!

I also serve as the Coordinator for Student and External Affairs of the institute. For inquiries regarding scholarship offerings and partnerships, career talks, and other IMath student-related concerns, please send an email to studentaffairs(at)math.upd.edu.ph.

My research interests are stated above, and my work can be accessed under the Publications tab.

Feel free to contact me through my email above for research collaborations and other academic matters.

You can also reach me via: Google Scholar, ResearchGate, LinkedIn

Other links:

• (21 September 2021) Contributed Talk, Fields Institute Focus Program on Analytic Function Spaces and their Applications

I normally teach (undergraduate and graduate) analysis courses and calculus service courses. Here’s a list of the classes I have handled:

A.Y. 2025-2026

• First Semester – Math 128 (Complex Analysis), Math 220.1 (Theory of Functions of a Real Variable I)

A.Y. 2024-2025

• First Semester – Math 128 (Complex Analysis), Math 228 (Theory of Functions of a Complex Variable)
• Second Semester – Math 128 (Complex Analysis), Math 297 (Special Topics: Selected Topics in Complex Analysis)

A.Y. 2023-2024

• First Semester – Math 128 (Complex Analysis), Math 197 (Special Topics: Selected Topics in Complex Analysis), Math 228 (Theory of Functions of a Complex Variable)
• Second Semester – Math 23 (Elementary Analysis III), Math 128 (Complex Analysis)

A.Y. 2022-2023

• First Semester – Math 128 (Complex Analysis), Math 197 (Special Topics : Selected Topics in Complex Analysis)
• Second Semester – Math 128 (Complex Analysis)

A.Y. 2021-2022

• First Semester – Math 23 (Elementary Analysis III)
• Second Semester – Math 23 (Elementary Analysis III)

A.Y. 2014-2015 to 2017-2018

• College Algebra and Trigonometry, Elementary Analysis I, II, and III

Please click the title of the work to access a free copy.

Journal Articles

• P. Jaming, K. Kellay, R. Perez III, On Wiener’s lemma on locally compact abelian groups, Arch. Math. (2025), https://doi.org/10.1007/s00013-025-02188-w.
• P. Jaming, K. Kellay, R. Perez III, On the effect of zero-flipping on the stability of the phase retrieval problem in the Paley-Wiener class, Monatsh. Math. 198 (2022), 757-776.
• R. Perez III, A note on the phase retrieval of holomorphic functions, Canad. Math. Bull. 64 (2021), 779-786.
• P. Jaming, K. Kellay, R. Perez III, Phase retrieval for wide band signals, J. Fourier Anal. Appl., 26 (2020), Paper No. 54, 21 pp.

Conference Proceedings

• P. Jaming, K. Kellay, R. Perez III, Phase retrieval for wide band signals, IEEE Proc. SampTA (2019).

Current Projects

• Properties of the derivatives and the integral of functions in the Selberg class (with R. Celeste)
• On the existence of solutions of certain fractional PDEs (with J.E. Lope and M.P. Ona)
• Sampling and reconstruction in spectral subspaces of time-warped functions (with M.J. Celiz and P.J. Burgos)
• Applications of complex analysis on counting graphs (with M.C. Amarra, M.J. Loquias and A. Paningbatan)
• Sign retrieval in spaces of variable bandwidth (with P. Jaming) – accepted (SampTA 2025 Proceedings)

Dissertation Manuscript – Applications of Complex Analysis to the Phase Retrieval Problem / Applications de l’Analyse Complèxe au Problème de Phase