Applied Dynamical Systems

Headed by: Dr. Juancho Collera

This research group works on researches that utilize dynamical systems techniques to analyze mathematical models arising in applications such as in Physics and Biology. In particular, the group has been working on areas like Theoretical Ecology, Laser Dynamics, Mathematical Epidemiology, and Queueing Theory to name a few. The group is also the first in the Philippines to use the Theory of Delay Differential Equations, Equivariant Bifurcation Theory and Numerical Continuation in its research.


Headed by: Dr. Edna Gueco and Dr. Saraleen Mae Manongsong

This research group works together on topics and areas of investigation related to pure, computational and applied algebra. It comprises two subgroups of researchers who work on two allied fields: (1) linear algebra and matrix analysis, and (2) algebraic geometry and robotics. The former works on matrix decompositions such as expressing any given matrix as a sum or product of two or more matrices belonging to a particular class. Concepts like canonical forms, singular values, inertia and ranks of matrices with real or complex entries are discussed and analogous results over finite fields or rings are generated. The latter deals with algebraic varieties in the affine and projective spaces as well as algebraic-geometric techniques to solve problems related to mechanisms and robotics.

Mathematical Modelling and Simulation (MaMoSim)

Headed by: Dr. Joel Addawe, Dr. Andrei Domogo, Dr. Priscilla Macansantos, and Dr. Gilbert Peralta

The MaMoSim group is the DMCS faculty and Graduate Student Research Seminar Series meeting weekly during the regular semester to discuss a variety of topics on mathematical models in biology, chemistry, physics, engineering, data processing, and other areas of application. Discussions include pertinent mathematical tools such as differential equations, for model analysis as well as numerical methods and algorithms. The group emphasizes the connections among modeling, simulation, analysis and experimental observation. Graduate students (and faculty) make presentations on the progress of their research.

Number Theory

Headed by: Dr. Jerico Bacani and Dr. Renz Mina

The Number Theory Research Group focuses on determining the existence or non-existence of solutions of various types of exponential Diophantine equations. If solutions exist, the group tries to use elementary methods and other techniques to check whether there are finitely many or infinitely many solutions, and eventually find all solutions. The group also considers problems that are related to different types of prime numbers and their applications. The group is also exploring topics that involve elliptic curves and the circle method.

Statistics Research

Headed by: Dr. Rizavel Addawe

The Statistics Research Group focuses both on applications of statistical techniques and theory. The areas of research are time series, regression, spatiotemporal methods, search algorithms, stochastic optimization, probability theory, and its applications to actual data. The group is currently working on infectious diseases like dengue, influenza, measles, and water-borne diseases. This group also actively participates in a weekly student research seminar.

Topological Data Analysis

Headed by: Dr. Paul Samuel Ignacio

The Topological Data Analysis Group in UP Baguio is an interdisciplinary research group whose topics of interest lie in the intersection of Topology, Statistics, Applied Mathematics, and Computer Science including but not limited to computational topology, persistent homology and applications, clustering algorithms, spectral methods in machine learning and data analysis, and network analysis.