Research interests
Combinatorial Matrix Theory

Research highlights
I previously worked on skew-coninvolutory matrices, finding canonical forms and decompositions for them. Currently, I am working on sign pattern matrices, specifically on spectral properties of tree sign patterns. 

Teaching highlights
Courses Taught: Linear Algebra courses, helped develop the current Math 2 syllabus
I wish math majors would see linear algebra not just as a course they need to pass but as a powerful tool for their mathematical journey.

Mentoring
Current Students: 1 PhD student
Under my supervision, students are expected to have a good grasp not only of linear algebra but also of basic graph theory.

Selected Awards/Extension Work
Awards: UPDMFI 2025 Prof. Ernesto Santos and Prof. Remedios David-Santos Meritorious Service Award, 2008 PCASTRD Outstanding Dissertation (Mathematics), 2001 Gawad Tsanselor sa Pinakamahusay na Guro (Instructor Category)
Service/Extension Work: College Secretary (2018-2025), Deputy Director for Academic Programs and Research (2012-2017), Deputy Director for Instruction (2010-2011)

Personal note
I am an avid fan of sports, especially the NFL and volleyball. I am a supporter of the various UP varsity teams. I am also a dog and cat lover. Aside from the 4 dogs and 2 cats I currently have, I also feed, and sometimes talk to, stray dogs and cats.

Research interests
Symplectic Matrices, Reversibility Problem

Research highlights
In a recent work, we introduced a different notion of reversibility in symplectic groups, called Φ-reversibility, and gave necessary and sufficient conditions for a complex symplectic matrix to be Φ-reversible. Right now, we are investigating the problem for the real symplectic group.

Teaching highlights
Courses Taught: Math 21, Math 40, Math 110.2
I wish students knew more about intuitive and geometric interpretations of linear algebra concepts such as determinants and matrix actions.

Mentoring
Current Students: None at the moment
Problems to Expect: Reversibility Problems, Matrix Decompositions, with possibility of exploring research in algebraic graph theory

Selected Awards/Extension Work
Excellence in Graduate Studies, Best Oral Presentation Award (13th ASTHRDP Graduate Scholars' Conference)

Personal note
I love cats and piano. I am also passionate in learning foreign languages. 

Research interests
Matrix Decompositions, Matrix Centralizers

Research highlights
I specialize in matrix analysis and linear algebra, with particular emphasis on matrix decompositions and diagonalizability, contributing to the theoretical understanding of how matrices can be decomposed into structured components. One of my main contributions to the field is the paper “On the diagonalizability of a matrix by a symplectic equivalence, similarity, or congruence transformation,” co-authored with Dr. Fassbender, which presents a symplectic analogue of the well-known spectral decomposition for normal matrices.

Teaching highlights
Courses Taught: Math 211
I wish students knew more about linear algebra.

Mentoring
Current Students: 1 PhD student

Selected Awards/Extension Work
University Scientist I (2018-2020), University Scientist I (2021-2023), University Scientist II (2024-2026). Referee work for Linear Algebra and Its Applications, Electronic Journal of Linear Algebra, and Linear and Multilinear Algebra

Personal note
Outside of my research and teaching duties, I am also a real estate investor, a rollerskater, and a proud furparent of one cat.

Research interests
Matrix Compressions and Dilations, Matrix Decompositions, Matrix Inequalities, Numerical Ranges and Numerical Radii

Research highlights
Recent Published Work:  (i) properties of submatrices in the similarity or unitary orbit; (ii) decomposition of matrices into commutators
Current Problems: (i) constructing copositive and PPT maps; (ii) finding maximizer of generalized numerical ranges of cyclic shift matrices; (iii) computing zero-trace indices; (iv) determining linear preservers of symplectic eigenvalues

Teaching highlights
I recently taught Math 297: The Theory of Quantum Information in 2025, the year which UN proclaimed as the International Year of Quantum Science and Technology.
I wish more students realized that matrix analysis offers a beautiful blend of algebra and analysis.

Mentoring
Current Students: 3 PhD students, 1 MS student, 2 BS students
I encourage students to approach problems with confidence and curiosity (e.g., by exploring simple cases or trying numerical expermients when a problem is too difficult), and to persevere through challenges while keeping the central ideas in mind.

Selected Awards/Extension Work
Second Prize - NAST Talent Search for Young Scientists (2024), Head of Organizing Committee: MALAA 2025, Organizer: MALA Seminar (on-going), Referee work for various journals

Personal note
Outside-math interests: anime/manga, books, running, visual art

Research interests
Matrix Decompositions, Canonical Forms, Sign Patterns

Research highlights
Scholarly Contribution: (i) determined the canonical form of a matrix over the field of complex and real numbers to be written as a product of two skew-involutions (i.e. matrices whose square is the negative identity matrix); (ii) determined necessary and sufficient conditions for a matrix over an arbitrary field to be written as a product of skew-involutions
Current Problems: (i) determining necessary and sufficient conditions for a matrix to be written as a sum of skew-involutions and symplectic skew-involutions; (ii) determine inertias of matrices and sign patterns related to acsystem of second order ODEs

Teaching highlights
Courses Taught: Math 21, Math 22, Math 23, Math 40, Math 108, Math 110.2, Math 211
I wish more students knew what happens when a matrix is no longer diagonalizable.

Mentoring
Current Students: 1 PhD student and 4 BS students
Under my supervision, I expect students to have a good grasp of linear algebra, and to exercise some independence when studying. Undergraduate students are also requested to start earlier to reduce workload on the semester of enrollment of Math 200. 

Selected Awards/Extension Work
Awards: MacArthur and Josefina Delos Reyes Research Grant (2022), PhD Incentive Award (2023), UP Diliman Centennial Professorial Chair (2025)
Service/Extension Work: PMO NCR Regional Coordinator (2018), UP Mathematics Club Junior Faculty Adviser (AY 2018-2019, AY  2023-2024), UP Enkindle Faculty Adviser (AY 2019-2020)

Personal note
Outside-math interests: Online games and RPGs, fashion/dressing up, volleyball

Research interests
Matrix Decompositions

Research highlights
On-going Funded Projects: (i) The phiJ polar decomposition over a field of characteristic 2 (CRL Grant); (ii) Sum of skew-Hamiltonian dilatations over a field (PhD Incentive Award)

Teaching highlights
Courses Taught: Math 20, Math 21, Math 22, Math 23, Math 40, Math 108

Mentoring
Current Students: 1 PhD student and 2 BS students
Under my supervision, students are expected to begin thesis meetings at least one semester prior to enrolling in Math 200/300/400. During enrollment, meetings are held once per week for students registered for 3 units and twice per week for those registered for 6 units. These meetings are intended to support steady progress, establish clear milestones, and provide timely feedback.

Selected Awards/Extension Work
Awards: Rene and Lorna Felix Evidente Junior Faculty Grant (2022)
Service/Extension Work: Assistant Director for Registration, 28th Philippine Mathematical Olympiad, Assistant Director for Registration, 27th Philippine Mathematical Olympiad

Personal note
I am happily married and a soon-to-be first-time mother.

Research interests
Matrix Decompositions

Research highlights
Current Problems: (i) express trace zero matrices as sums of trace zero symplectic matrices over a field; (ii) improvement of the number of summands in R; (iii) extend results to S-orthogonal matrices where S is a nonsingular matrix. For methods, we use techniques in matrix decompositions.

Teaching highlights
Courses Taught: Math 20, Math 21, Math 22
I wish more students know about the existence of roots of a polynomial over a larger algebraic structure and how to construct them.

Graduate School
The topic I find most interesting is the Fundamental Theorem of Galois Theory, since it connects the study of groups to the study of fields. I like that the theory lets us go from fields to groups and vice versa. My comprehensive exam experience is a roller coaster. The experience made me a better person and solidified my knowledge of the core courses. The best way to prepare for comprehensive exams is 10% reviewing concepts and 90% solving exercises. Studying with peers helped a lot.

Selected Awards/Extension Work
Awards: Cum Laude, Prof. Flor Cejalvo Junior Faculty Grant

Personal note
I plan to cross a few things off my bucket list after passing the comprehensive exam.

Research interests
Quaternion Matrices

Research highlights
Current Problems: Sums of nilpotent quaternion matrices

Teaching highlights
Courses Taught: Math 21, Math 22

Graduate School
Topics I find interesting: Quantum Information and Calculus of Variations, Group Theory

Selected Awards/Extension Work
Awards: MSP 2024 Best Poster Award for Graduate Level

Personal note
Outside-math interests: my cats, One Piece (manga & anime), watching (rather than playing) basketball, playing video games like RPGs and story-driven games

Research interests
Numerical ranges

Research highlights
Currently, I am working on problems involving generalizations of the numerical range. In particular, the k-numerical ranges and rank-k numerical ranges. For my PhD dissertation, we are generalizing the concept of zero-dilation index, and studying the effect of permuting the weights of a weighted shift matrix in the maximality of its k- and rank-k numerical ranges. Helpful tools in this study are the characterization of the k- and rank-k numerical ranges as intersection of certain half planes.

Teaching highlights
Courses Taught: Math 21, Math 22

Graduate School
Aside from Matrix Analysis and Linear Algebra, I find Modern Algebra, Topology, and Hyperbolic Geometry interesting and enjoyable to study. On a more personal note, being a graduate student in math is full of ups and downs. Research can feel slow and isolating at times, but very fulfilling when things start to click! Being hard-headed may even work in your favour here because you need to be persistent and resilient in sticking to your problems.

Selected Awards/Extension Work
Awards: PhD Support Recipient from the International Linear Algebra Society (2025), Rene P. Felix Faculty Research Grant (2024), Excellence in Graduate Studies (2021), Summa cum laude (2019)

Personal note
Outside math, I love reading, going on walks, and recently added bird watching! Currently, my favorite bird is the Philippine hanging parrot or "kulasisi", which we saw at the College of Science in UPD! I also want to see the Philippine nightjar, which we've heard twice in the IMath building but no luck yet.

Research interests
Sign Patterns, Zero Forcing

Research highlights
Current Problems: Minimum number of distinct eigenvalues allowed by 4-by-4 irreducible tridiagonal sign patterns (MALA talk, ILAS poster presentation): All 4-by-4 irreducible tridiagonal sign patterns are characterized based on the lowest number of distinct eigenvalues that they allow, by determining the signs of the loops and 2-cycles in the digraph of the sign pattern. The loops correspond to the non-zero diagonal entries of the corresponding matrix, while the 2-cycles correspond to two entries, one in the superdiagonal and the other in the subdiagonal, located at symmetric positions across the diagonal of the matrix.

Teaching highlights
Courses Taught: Math 20, Math 21, Math 22, Math 23, LTS 1, LTS 2

Graduate School
Topics I find interesting: Combinatorial matrix theory

Selected Awards/Extension Work
Awards: Rene and Lorna Felix Evidente Junior Faculty Grant (2022)
Service/Extension Work: Faculty-in-Charge and Project Adviser to Various Numeracy-Based NSTP Projects (2024-present)

Personal note
I am a lecturer and a graduate student at the Institute of Mathematics, UP Diliman. As a teacher, I have taught full-semester calculus courses and have occasionally taught linear algebra. As a graduate student, my research interests are sign patterns and zero forcing. In the last academic year, I began teaching Literacy Training Service, a component of the National Service Training Program (NSTP) focused on training and supervising students to be teachers of literacy and numeracy. This is particularly a role that I have found both fulfilling and enriching. Outside the academe, I actively volunteer with non-profit organizations dedicated to values formation for children and youth, as well as the promotion of literacy and numeracy in both school and community settings.

Research interests
Symplectic Eigenvalues, Linear Preservers

Research highlights
In ILAS 2025, I presented results on symplectic analogues of Hermitian eigenvalue properties.

Teaching highlights
Courses Taught: Math 20, Math 21, Math 22

Graduate School
I found the Theory of Quantum Information, Linear Algebra, and the Algebra graduate courses to be the most interesting topics. As a graduate student, I get to study mathematics at a much deeper level. I also get a greater appreciation of learning the fundamentals and its applications in my field of study.

Selected Awards/Extension Work
Awards: Magna Cum Laude

Personal note
Lately my hobbies have been playing boardgames, running, swimming, and reading.

Research interests
Matrix and Operator Decomposition

Research highlights
Recent Published Work: On commutators of unipotent matrices of index 2

Teaching highlights
Courses taught: Math 21, Math 22, Math 23, Math 40

Graduate School
Aside from Matrix Analysis and Linear Algebra, I find Operator Algebra, Functional Analysis, Lie Algebras, and Algebraic Topology interesting topics.

Selected Awards/Extension Work
Awards: MS Mathematics - Excellence in Graduate Studies
Service: Math 22 Coordinator

Personal note
Outside-math interests: music and playing instruments, playing baseball

Research interests
Matrix Decompositions

Research highlights
Current Problems: Sums of quadratic matrices associated with the operators Phi_J and Lambda_H

Teaching highlights
Courses Taught: Math 20, Math 21, Math 22

Graduate School
Topics I find interesting: Matrix Decompositions

Selected Awards/Extension Work
Awards: Cum Laude, Prof. Cevaljo Junior Faculty Grant
Services: Math 21 Coordinator (AY 2023-2024 Midyear), Math 22 Coordinator (AY 2024-2025 First Semester), Science Immersion Program 2025 of the Philippine Science High School System - Mentor (2025)

Personal note
Outside-math interests: singing, choral singing, playing guitar