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

Asst. Prof. Neil Jerome A. Egarguin (on study leave)

Asst. Prof. Eleanor B. Gemida

Asst. Prof. Eduardo O. Jatulan (on study leave)

Asst. Prof. Ivy Carol B. Lomerio

Asst. Prof. Kemuel M. Quindala III

Mr. Jcob C. Malaguit (on study leave)

Dr. Editha C. Jose, Cluster Coordinator

ecjose1@up.edu.ph

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. Jomar F. Rabajante

Dr. Jerrold M. Tubay

Asst. Prof. Christian Alvin H. Buhat

Asst. Prof. Diane Carmeliza N. Cuaresma

Asst. Prof. Mark Jayson V. Cortez (on study leave)

Asst. Prof. Anthony L. Cueno (on study leave)

Asst. Prof. Eduardo O. Jatulan (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. Kyrell Vann B. Verano

Mr. Edd Francis O. Felix

Ms. Gimelle B. Gamilla

Mr. Ardee C. Manalo

Ms. Yancee H. Olave

Ms. Mary Grace P. Recreo

Ms. Monica C. Torres

 

Research Staff

Ms. Michelle Narciso (Science Research Specialist II) 

 

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. Christian Alvin H. Buhat, Cluster Coordinator

chbuhat@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

Asst. Prof. Ben Paul B. Dela Cruz

Asst. Prof. John Mark T. Lampos

Asst. Prof. Jane D. Palacio (on study leave)

Dr. Herbert S. Palines, Cluster Coordinator

hspalines@up.edu.ph

 

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:

  1. a basic knowledge about the fundamental tools when analyzing risk in financial and actuarial world.
  2. 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.
  3. 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.
  4. an elementary foundation to portfolio construction using various asset classes from derivatives market.

The cluster aims to produce research papers that

  1. solves emerging problems regarding life and nonlife contingency.
  2. promotes the importance of proper valuation in agricultural / weather index-based insurance.
  3. modifies the existing models for the advancement of techniques currently used to analyze scenarios in financial, insurance, and other related sectors.
  4. uses discrete and stochastic analysis to formulate new models in finance and actuarial science.
  5. 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

Asst. Prof. Eleanor B. Gemida

Asst. Prof. Jonathan B. Mamplata

Asst. Prof. Kyrell Vann B. Verano

Mr. Edd Francis O. Felix

Mr. Julian G. Iquin, Jr.

Ms. Siena Catherine A. Maranan

Mr. Angelo E. Marasigan

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

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

Asst. Prof. Lauro F. Fontanil (on study leave)

Asst. Prof. Vernel M. Lawas

Asst. Prof. Gily V. Magalona (on study leave)

Mr. Joey R. Joson (on study leave)

Mr. Pierre Lance A. Tan (on study leave)

Dr. Ariel L. Babierra, Cluster Coordinator

albabierra@up.edu.ph

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

Assoc. Prof.  Lynie B. Dimasuay (on sabbatic)

Assoc. Prof.  Alleli Ester C. Domingo

Asst. Prof.  Anthony L. Cueno (on study leave)

Asst. Prof. Ben Paul B. Dela Cruz

Asst. Prof.  Neil Jerome A. Egarguin (on study leave)

Asst. Prof.  Lauro L. Fontanil (on study leave)

Asst. Prof.  John Mark T. Lampos

Asst. Prof. Vernel M. Lawas

Asst. Prof. Gily V. Magalona (on study leave)

Asst. Prof.  Allen L. Nazareno

Mr. Edd Francis O. Felix

Mr. Julian G. Iquin, Jr.

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

Asst. Prof. Neil Jerome A. Egarguin (on study leave)

Asst. Prof. Kemuel M. Quindala III

Mr. Jcob C. Malaguit (on study leave)

Mr. Mary Grace P. Recreo

Dr. Ariel L. Babierra, Cluster Coordinator

albabierra@up.edu.ph

 

Dr. Jomar F. Rabajante, Cluster Coordinator

jfrabajante@up.edu.ph

 

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. Christian Alvin H. Buhat

Asst. Prof. Genaro A. Cuaresma

Asst. Prof.  Mark Jayson V. Cortez (on study leave)

Asst. Prof. Mark Lexter D. de Lara (on study leave)

Asst. Prof. Destiny S. Lutero (on study leave)

Asst. Prof. Allen L. Nazareno

Asst. Prof. Dylan Antonio S.J. Talabis

Ms. Gimelle B. Gamilla

Mr. Ardee C. Manalo

Mr. Jcob C. Malaguit (on study leave)

Ms. Yancee H. Olave

Ms. Monica C. Torres

 

Collaborators

Dr. Ariel L. Babierra

Dr. Herbert S. Palines

Assoc. Prof. Lynie B. Dimasuay

Asst. Prof. Diane Carmeliza N. Cuaresma