MATHEMATICS DIVISION
Analysis
Analysis is the branch of mathematics concerned with the concept of limit and theories of differentiation, integration, measure, infinite series and analytic functions. Its roots can be traced from the study of calculus whose discovery was motivated by the applications in physics and optimization. The Analysis cluster at IMSP focuses on the theory and applications of partial differential equations, numerical analysis, approximations, inverse problems and quantum graphs.
Existence and uniqueness of solutions of PDEs
Homogenization of PDEs
Controllability of PDEs
Numerical solutions of PDEs
Inverse problems
Quantum graphs (Spectral theory)
Approximation theory (Approximation of generalized inverse)
Continuum mechanics
Dr. Ariel L. Babierra
Dr. Editha C. Jose
Dr. Eduardo O. Jatulan
Dr. Neil Jerome A. Egarguin
Asst. Prof. Eleanor B. Gemida
Asst. Prof. Ivy Carol B. Lomerio
Asst. Prof. Kemuel M. Quindala III
Asst. Prof. Jcob C. Malaguit
Dr. Editha C. Jose, Cluster Coordinator
BioMathematics
The BioMathematics Research Cluster was set up in the year 2010 by mathematics educators, researchers, and students of the Institute of Mathematical Sciences and Physics (IMSP) who work with people from other fields of study such as biology, biophysics, computer science, statistics, chemistry, environmental science and management, agriculture, and forestry.
The Biomathematics Research Cluster is recognized as the 2019 CAS Outstanding Research Team.
Agent-Based Modelling
Bifurcation Analysis
Chemical Reaction Network Theory and Applications
Ecological and Environmental Modeling
Evolutionary Biology
Epidemics Forecasting
Modeling in Genetics and Epigenetics
Modelling of Infectious Diseases
Network Analysis
Optimal Control
Dr. Ariel L. Babierra
Dr. Maica Krizna A. Gavina
Dr. Editha C. Jose
Dr. Eduardo O. Jatulan
Dr. Jomar F. Rabajante
Dr. Jerrold M. Tubay
Asst. Prof. Diane Carmeliza N. Cuaresma (on study leave)
Asst. Prof. Mark Jayson V. Cortez (on study leave)
Asst. Prof. Anthony L. Cueno (on study leave)
Asst. Prof. Destiny S. Lutero (on study leave)
Asst. Prof. Kemuel M. Quindala III
Asst. Prof. Dylan Antonio SJ. Talabis
Asst. Prof. Monica C. Torres
Mr. Edd Francis O. Felix
Ms. Gimelle B. Gamilla
Ms. Michelle Narciso
Collaborators
Dr. Maria Art Antonette D. Clariño (Institute of Computer Science, UPLB)
Asst. Prof. Arian J. Jacildo (Institute of Computer Science, UPLB)
Dr. Eduardo R. Mendoza (Adjunct Professor)
Dr. Vachel Gay V. Paller (Institute of Biological Sciences, UPLB)
Dr. Chrysline Margus N. Piñol (Physics Division, IMSP)
Dr. Ranzivelle Marianne L. Roxas-Villanueva (Physics Division, IMSP)
UPLB Bee Program
Asst. Prof. Dylan Antonio SJ Talabis, Cluster Coordinator
dstalabis1@up.edu.ph
Coding Theory and Cryptography
The IMSP Coding Theory and Cryptography Cluster focuses mainly on problems that deals with the construction and analysis of codes and cryptosystems using algebraic methods and other related theories. The cluster aims to contribute to the growth and development of coding theory and cryptography research in the Philippines. We envision a strong and dynamic research team collaborating with academicians, graduate students, and practitioners in private and public agencies to solve real problems in the time of big data.
Algebra
Algebraic Coding Theory
Algebraic Combinatorics
Algebraic Geometry
Cryptology
Number Theory
DNA Linear Block Codes
Duadic Codes
Elliptic Curve Cryptography
Grassmannian codes
Quasi-Abelian Codes
Quasi-Cyclic Codes
Quaternary Convolutional Encoders for DNA Codes
Rank-metric codes
Supercodes
Polar Codes
Dr. Herbert S. Palines
Dr. Virgilio P. Sison (On Sabbatical Leave)
Asst. Prof. Ben Paul B. Dela Cruz
Asst. Prof. John Mark T. Lampos
Asst. Prof. Jane D. Palacio
Asst. Prof. Pierre Lance A. Tan
Financial Mathematics and Actuarial Science
Previously known as the Actuarial Science Cluster, the Financial Mathematics and Actuarial Science (FMAS) Cluster is one of the original applied mathematics clusters and continues to be one of the strongest in terms of student population. Committed to its goal of providing quality education in the field of Actuarial Science and Financial Mathematics since its inception, the cluster aims to produce graduates that are ready to enter the workforce and are equipped with skills and knowledge to pass actuarial exams. It envisions to become a strong program producing papers in a wide range of application and specialization.
With the aid of mathematical analysis in probability, finance, economics, and predictive analytics, the cluster aims to provide students the following:
- a basic knowledge about the fundamental tools when analyzing risk in financial and actuarial world.
- the core knowledge about the deterministic and contingent models for payment with application to financial and insurance modelling, particularly its framework on benefit, premium, and reserve valuation.
- an introduction to theoretical analysis of frequency and severity of loss in finance and insurance industry, with the aid of statistical analysis for validation using data.
- an elementary foundation to portfolio construction using various asset classes from derivatives market.
The cluster aims to produce research papers that
- solves emerging problems regarding life and nonlife contingency.
- promotes the importance of proper valuation in agricultural / weather index-based insurance.
- modifies the existing models for the advancement of techniques currently used to analyze scenarios in financial, insurance, and other related sectors.
- uses discrete and stochastic analysis to formulate new models in finance and actuarial science.
- uses the theory of utility, ruin, credibility and other subfields of risk theory for observation, modelling, and analysis of financial and actuarial risks.
Life and Non-life Contingency Analysis
Agricultural Insurance
Premium Pricing and Policy Valuation
Stochastic and Discrete Analysis and Modeling in Finance
Utility, Risk, and Ruin Theory
Dr. Crisanto A. Dorado
Asst. Prof. Diane Carmeliza N. Cuaresma (on study leave)
Asst. Prof. Eleanor B. Gemida
Asst. Prof. Jonathan B. Mamplata
Asst. Prof. Lester Charles A. Umali
Asst. Prof. Jeric S. Alcala
Asst. Prof. Azra May B. Kabiri
Asst. Prof. Angelo E. Marasigan
Mr. Edd Francis O. Felix
Graph Theory and Combinatorics
GraphComb (formerly GTC), is the research cluster of the Mathematic Division devoted in the examination of classic and emerging problems in the area of graph theory and combinatorics. The cluster is keen towards the areas of graph labeling (such as graph signatures, autographs, graceful labeling and harmonious labeling); the hamiltonian problem (related to forbidden subgraphs and fault-tolerant graphs); graph algorithms; minimal graphs; enumerative combinatorics; and pattern avoidance. At its frontier, the cluster has interest in combinatorial problems related to tessellations, fractals and projective geometry.
Prof. Rolando G. Panopio
Dr. Ariel L. Babierra
Dr. Jean O. Loyola
Dr. Lauro F. Fontanil
Asst. Prof. Genaro A. Cuaresma
Asst. Prof. Anthony L. Cueno (on study leave)
Asst. Prof. Jessa Camille C. Duero
Asst. Prof. Wielson M. Factolerin
Asst. Prof. Marjo-Anne A. Fernando (on study-leave)
Asst. Prof. Vernel M. Lawas
Asst. Prof. Gily V. Magalona (on study leave)
Asst. Prof. Pierre Lance A. Tan
Mr. Joey R. Joson
Dr. Ariel L. Babierra, Cluster Coordinator
Mathematics Education
Mathematics Education is a flourishing field of mathematics that caters to the trends on how instruction in mathematics is conducted. It also allows opportunities to look into the various issues regarding student performance in class or in general how they learn mathematics specifically gearing towards problem solving. And finally, it also looks into the issue of curricular development, specifically on how math has evolved from the primary to the tertiary level of the education system.
The group/research cluster primarily aims to assess and propose solutions on how the teaching and learning of mathematics is conducted, be it in the primary, secondary or tertiary school levels. Other issues relating to mathematics learning and/or teaching will also be an integral part on what the group will be working into.
Prof. Rolando G. Panopio
Dr. Jean O. Loyola
Dr. Lauro F. Fontanil
Dr. Neil Jerome A. Egarguin
Assoc. Prof. Lynie B. Dimasuay
Assoc. Prof. Alleli Ester C. Domingo
Asst. Prof. Anthony L. Cueno (on study leave)
Asst. Prof. Ben Paul B. Dela Cruz
Asst. Prof. John Mark T. Lampos
Asst. Prof. Vernel M. Lawas
Asst. Prof. Gily V. Magalona (on study leave)
Asst. Prof. Allen L. Nazareno (on study leave)
Mr. Edd Francis O. Felix
Numerics & Approximations
NumAp (short for Numerics & Approximations) is the youngest research cluster of the Mathematic Division. The cluster tackles wide-ranging research topics in numerical analysis and approximation theory from theories to applications. The cluster started as a training laboratory for numerical methods and scientific computing. At present, its members are doing researches in numerical optimization; numerics of PDEs; continuum mechanics; image processing; inverse problems; and numerical simulations of complex systems.
Dr. Ariel L. Babierra
Dr. Jomar F. Rabajante
Dr. Neil Jerome A. Egarguin
Asst. Prof. Jcob C. Malaguit
Asst. Prof. Kemuel M. Quindala III
Dr. Ariel L. Babierra, Cluster Coordinator
Dr. Jomar F. Rabajante, Cluster Coordinator
Quantitative Management and Decision Science
The Quantitative Management and Decision Science (QMDS) cluster specializes on the use of decision-making tools using quantitative methods. Most of the models used are those in operations research. Operations Research (OR) is the discipline of applying advanced analytical methods from mathematics, science and engineering to make better decisions in planning ventures and analyzing options. Operations Research is characterized with its broad applicability by its interdisciplinary nature.
As OR attempts to resolve the conflicts of interest among the components of the organization in a way that is the best for the organization as a whole, the OR needs to seclude individuals who collectively trained in mathematics, statistics and probability, economics, business administration, computer science, engineering and the physical sciences the behavioral sciences and the special techniques of OR.
The cluster aims to train and strengthen the members through collaborative research work with individuals in social, biological and environmental sciences.
Fuzzy goal programming
Land use planning
Simulation modelling
Simulation and geostatistical analysis of environment phenomena
Vehicle routing problems
Facility location problems
Scheduling problems
Multi-criteria decision making
Dr. Maica Krizna A. Gavina
Dr. Jomar F. Rabajante
Dr. Jerrold M. Tubay
Assoc. Prof. Alleli Ester C. Domingo
Asst. Prof. Genaro A. Cuaresma
Asst. Prof. Mark Jayson V. Cortez (on study leave)
Asst. Prof. Mark Lexter D. de Lara
Asst. Prof. Destiny S. Lutero (on study leave)
Asst. Prof. Allen L. Nazareno (on study leave)
Asst. Prof. Dylan Antonio S.J. Talabis
Asst. Prof. Jcob C. Malaguit
Asst. Prof. Monica C. Torres
Ms. Gimelle B. Gamilla
Collaborators
Dr. Ariel L. Babierra
Dr. Herbert S. Palines
Assoc. Prof. Lynie B. Dimasuay
Asst. Prof. Diane Carmeliza N. Cuaresma (on study leave)