Mohammad, Rhudaina
interface evolution (multiphase) problems. free/overdetermined boundary problems. calculus of variations. partial differential equations. pattern formation and defects. cell dynamics. neural network theory.
 Numerical Analysis and Scientific Computing (member)
 Modelling and Applications (affiliate)

Education

PhD Mathematics 博士(理学)
Kanazawa University (金沢大学), JapanDissertation: Numerical Analysis of Multiphase Curvaturedriven Interface Evolution with Volume Constraint (体積保存条件を満たす複数の界面の曲率による運動の数理解析)
Adviser: Dr. Karel Švadlenka 
MS Mathematics
University of the Philippines DilimanThesis: AmreinBerthier’s Uncertainty Principle
Adviser: Dr. Noli N. Reyes 
BS Mathematics, Cum laude
Western Mindanao State University 
Professional Education Course, Top 5, Licensure Examination for Teachers
Western Mindanao State University

PhD Mathematics 博士(理学)

Postdoctoral Fellowships

Kyoto University (京都大学), Japan (JSPS Postdoctoral Fellowship for Research)
Supervisor: Dr. Karel Švadlenka (20182020)
Project: Theory and Applications of Anisotropic Interfacial Network Evolution (https://kaken.nii.ac.jp/grant/KAKENHIPROJECT18F18016) See publication: https://www.nature.com/articles/s42003022031746

Kyoto University (京都大学), Japan (JSPS Postdoctoral Fellowship for Research)

Research
My main interest is on interface evolution (multiphase) problems and calculus of variations, but I am also open to any interesting problems in numerical analysis and scientific computing (theory and/or applications) — not limited to my research interests. Feel free to contact me for possible thesis topics and/or collaboration.
“I like crossing the imaginary boundaries people set up between different fields — it’s very refreshing. There are lots of tools, and you don’t know which one would work. It’s about being optimistic and trying to connect things.”
Maryam Mirzakhani, 2014 Fields Medalist
MENTORING
Current Graduate Students
 Jeffer Dave Cagubcob, PhD Mathematics
 Margaret Esther C. Cruz, PhD Data Science, coadviser: Dr. Renier Mendoza
 Conie Q. Janul, MS Applied Mathematics (Optimization and Approximation Track), coadviser: Dr. Aurelio de los Reyes V
 Rito Joseph F. Dominado, MS Applied Mathematics (Mathematics in Life and Physical Sciences Track), coadviser: Dr. Bryan Hernandez
 Jose Aries B. De Los Santos, MS Applied Mathematics (Optimization and Approximation Track), coadviser: Dr. Renier Mendoza
Current DOSTCIP Fellow
 Marian T. Cantal, MS Graduate Fellow in Applied Mathematics
Current Undergraduate Students
 Lem Nathan C. Ereña, BS Mathematics, Thesis: “Markov Chain Monte Carlo Approximation of Volumepreserving Mean Curvature Flow and Its Application to Cell Sorting“, May 20, 2024
Incoming Undergraduate Students
 Maxine T. Darvin, BS Mathematics
 Jason Rex B. Alfonso, BS Mathematics, coadviser: Dr. Arrianne Crystal Velasco
 Christopher John V. Tutanes, BS Mathematics, coadviser: Dr. Ariel Pangingbatan
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Former Graduate Students
 Marian T. Cantal, MS Applied Mathematics (Numerical Analysis of Differential Equations Track), Excellence in Graduate Studies Award, Thesis: “Serrintype overdetermined boundary problem via level set method“, June 27, 2023
 Ken Matthew C. Oliva, MS Applied Mathematics (Optimization and Approximation Track), Thesis: “Numerical simulation of the 2020 Taal volcanic ash dispersion“, June 23, 2023, coadvisers: Dr. Arrianne Crystal Velasco, Dr. Renier Mendoza
 Kurt Izak M. Cabanilla, MS Applied Mathematics (Optimization and Approximation Track), Excellence in Graduate Studies Award, Thesis: “Approximation spaces of deep neural networks with ReLU powers“, January 11, 2023, coadviser: Dr. Jose Ernie Lope
 Paul Gabriel E. Lerona, MS Chemical Engineering, Thesis: “Simulation of solidification of titaniumbase binary alloy using phasefield modeling“, January 10, 2023, coadviser: Dr. Bryan G. Alamani (UP Department of Chemical Engineering)
Former Undergraduate Students
 Vince Patrick L. Roque, BS Mathematics, Thesis: “Solving Ordinary Differential Equations: An Artificial Neural Network Approach“, July 2023
 Rachel Noelle D. Carrido, BS Mathematics, Magna Cum Laude, Thesis: “A Total Variation Approach to Image Inpainting“, August 2022

Teaching
Current Courses:
 Math 271.1 : Numerical Analysis I
 Math 122 : Differential Equations and Applications
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Previous Courses Taught (UP Diliman):
 Math 227 : Calculus of Variations
 Math 271.1 : Numerical Analysis I
 Math 296 : Graduate Seminar
 Math 122 : Differential Equations and Applications
 Math 171 : Introduction to Numerical Analysis
 Math 21 : Elementary Analysis I
 DS 297 : Advanced Mathematical Methods in Data Science
Extension Work
 Resource Person, Linear Systems and Applications: A Handson Python Workshop (https://csrc.science.upd.edu.ph/index.php/2024/04/12/linearsystemsandapplicationsahandsonpythonworkshop)
 Coorganizer, SEAMS School Manila 2023: Scientific Computing for Differential Equations and Applications (https://math.upd.edu.ph/seamsschoolmanila2023/)
 Coorganizer, UP World Experts Lecture Series 2023: Interface Evolution Problems (https://math.upd.edu.ph/wels2023/)
 Coorganizer, KUUPD Joint Seminar on Numerical Analysis and Scientific Computing (https://sites.google.com/view/kuupd1/)
 Member, Local Organizing Committee, SEAMS School Manila 2022: Modern Trends in Signal and Data Processing (https://math.upd.edu.ph/seamsschoolmanila2022/)

Publications
Featured Publications:
K.I. Cabanilla, R. Mohammad, and J.E. Lope (2024). Neural Networks with ReLU Powers Need Less Depth. Neural Networks 172, 106073. https://doi.org/10.1016/j.neunet.2023.12.027
R. Mohammad, H. Murakawa, K. Svadlenka, and H. Togashi (2022). A numerical algorithm for modeling cellular rearrangements in tissue morphogenesis. Communications Biology 5(1), 239. https://www.nature.com/articles/s42003022031746
 ORCID: https://orcid.org/0000000298034350
 Google Scholar: https://scholar.google.com/citations?user=mnlCvv4AAAAJ&hl=en&authuser=1
 Researchgate: https://www.researchgate.net/profile/Rhudaina_Mohammad
 GitHub: https://github.com/rhudaina