Perez, Rolando III
Complex analysis. Fourier analysis. Fractional derivatives
- Optimization and Approximation (member)
- Coding and Number Theory (affiliate)
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Education
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Ph.D. Pure Mathematics (2021)
Université de BordeauxDissertation: Applications of Complex Analysis to the Phase Retrieval Problem
Adviser: Philippe Jaming, Karim Kellay (Analysis Team, Institut de Mathématiques de Bordeaux) -
M.S. Mathematics (2017)
University of the Philippines Diliman -
B.S. Mathematics (2014), cum laude
University of the Philippines Diliman
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Ph.D. Pure Mathematics (2021)
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Research
Welcome to my page!
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
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Teaching
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)
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Publications
Please click the title of the work to access a free copy.
Journal Articles
- 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).
In progress
- 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)
- On Wiener’s lemma on locally compact abelian groups (with P. Jaming and K. Kellay) – submitted
- 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