MATHEMATICS DIVISIONRESEARCH AGENDA 2017-2019

Prepared by CMNPiñol and JFRabajante

Current Mathematics Division Research Clusters

• Mathematics Education• Analysis and Partial Differential Equations• Graph Theory and Combinatorics• Coding Theory and Cryptography• Biomathematics• Financial Mathematics and Actuarial Science• Quantitative Management and Decision Science

(formerly Operations Research)

Assumption 1:

Research agenda should be aligned with the national goals

(According to OVCRE: UPLB also aligns its research agenda in accordance to the goals of NEDA)

Ensuring the sustainability and consistency of strategies, policies, programs and projects across political administrations

Momentum should be sustained

Anchored in SDGs:

FYI: NRCP’s (NIBRA)

2nd National Research and Development Conference DEPARTMENT OF SCIENCE AND TECHNOLOGY

Harmonized National R&D Agenda R&D Priority Areas and Programs

Improving agricultural

productivity, competitiveness

and incomes and resiliency

Improving agricultural

productivity, competitiveness

and incomes and resiliency

• AGRICULTURE

Crops Livestock

• AQUATIC

• FORESTRY

Agriculture, Aquatic and Natural

Resources Sector (AANR)

Health

• DIAGNOSTICS

- Hospital equipment and

biomedical devices

- Biomaterials for health

applications • GENOMICS/ MOLECULAR

- Information and

communication technology

for health

• DRUG DISCOVERY &

DEVELOPMENT

- Cosmeceutical Research

• NUTRITION & FOOD SAFETY

- Functional foods

• ORAL HEALTH

• MENTAL HEALTH

- Neurological-Brain research

National Integrated Basic Research

Agenda (NIBRA)

• WATER SECURITY

• Watershed studies, water quality,

accessibility and availability

• FOOD AND NUTRITION SECURITY

• Food safety, biodiversity studies

• HEALTH SUFFICIENCY

• Fundamental studies on potential sources

of natural products, basic veterinary

studies, social dimensions on health

• CLEAN ENERGY

• Alternative energy

• SUSTAINABLE COMMUNITIES

• Vulnerable ecosystems, data analytics on

natural phenomena, environmental and

anthropogenic activities

• INCLUSIVE NATION-BUILDING

• Documentation of indigenous knowledge,

data collection on social phenomena,

education, national security and

sovereignty, arts, history and culture

Disaster Risk Reduction and

Climate Change Adaptation (DRR

CCA)

• Observation and Monitoring Networks

• Technology Development and Application

for Monitoring

• Modelling and Simulation for Improvement

of Monitoring and Forecasting

• Hazards, Vulnerability and Risk Assessment

• Warning and Communication of Information

• Technology Development and Application

for Climate Change Mitigation and

Adaptation

• Technology Development and Application

for Disaster Risk Management (Health)

Industry Sector and R&D Priorities

• Food and Nutrition Security

• Countryside Development

• Competitive Industry

• Delivery of Social Services

• National Security

PDP 2017-2022based on the 10-point agenda

of Duterte Administration

First step towards realizing AMBISYON NATIN 2040

Mathematics Education Research Cluster:

aligned with the national goal

An Example

Assumption 2:

UPLB RDE Thrusts are/can be aligned to a national goal in at least one of the vital sectors.

Assumption 2:

UPLB RDE Thrusts are/can be aligned to a national goal in at least one of the vital sectors.

The Mathematics Division Research Agenda can also be aligned accordingly.

7

The success of research ultimately depends on the individuals who lead and implement research initiatives. In UP, faculty members play a major role in establishing, nurturing and sustaining a vibrant research culture and productive research process in UP through generations. They are responsible for the research mentoring and leadership training of our students to ensure that graduate and undergraduate education in UP, in addition to foundational and general education and rote and iterative learning, is infused with a strong orientation towards research, innovation, creativity and problem-solving. High-quality research is the paramount activity in a research university. Research elevates the quality of education and accelerates academic productivity. Research also greatly improves the quality of our extension work, providing rigorous, scientific analysis, and innovative, technological solutions to pressing problems in society.

Figure 1. Academic framework developed by Dr. Gisela P. Concepcion

FYI: From the UP System Research Guide Book

There is no universal solution to our problems, but we can work together, building the parts toward the solution.

FYI: From the NRCP

FYI: From DOST

Mathematics Research Clusters

Examples

The projects of Quantitative Management and Decision Science research cluster can be aligned to address issues in the following sectors

The projects of Financial Mathematics and Actuarial Science research cluster can be aligned to address issues in the following sectors

The projects of Biomathematicsresearch cluster can be aligned to address issues in the following sectors

Coding Theory and Cryptography

Analysis and Partial Differential Equations

Graph Theory and Combinatorics

Assumption 3:

The Mathematics Division Research Thrusts should be DIRECTED towards at least one specific goal. Yet it remains OPEN for new opportunities, maximizing the pool of experts in the Division.

�“Directed” means the Division should identify the priority research areas to maximize the impact of the research outputs and to maximize efficiency of delivery (i.e., minimize costs)

�”Open” means the Division should not discriminate fields of expertise and reasonable research interests of faculty members but rather the Division should create an agenda which can maximize the knowledge and skills of faculty members towards innovation.

NOW, HERE IS THE MATHEMATICS DIVISION’SRESEARCH AGENDA

The Mathematics Spectrum

Theoretical Mathematics

ApplicationAreas

Applied Mathematics

The Mathematics Spectrum

Theoretical Mathematics

ApplicationAreas

A research will be classified based on how “theoretical” or “applied” the study is.

Applied Mathematics

The Mathematics Spectrum

Basic researches (e.g., studies on theoretical mathematics) are essential in two ways:1. They are the foundations of the “bridge” (applied mathematics).

Theoretical Mathematics

ApplicationAreas

Applied Mathematics

The Mathematics Spectrum

Theoretical Mathematics

ApplicationAreas

Basic researches (e.g., studies on theoretical mathematics) are essential in two ways:2. They can be used to enhance knowledge discovery and innovation in the academe, which is one of the national goals.

Applied Mathematics

The Mathematics Spectrum

Theoretical Mathematics

ApplicationAreas

Applied Mathematics have different levels of applicability:Some researches are “applicable” but are closer to theoretical mathematics. Example: formulating algorithms and theorems on error control.

Applied Mathematics

The Mathematics Spectrum

Theoretical Mathematics

ApplicationAreas

Applied Mathematics have different levels of applicability:On the other side of the spectrum, some researches are directly translatable to strategies, policies or products that address issues in the application areas.

Applied Mathematics

The Mathematics Spectrum

Theoretical Mathematics

ApplicationAreas

Application areas include, but not limited to, Biology, Chemistry, Physics, Engineering, Computer Science, Medicine, Agriculture, Environmental Management, Sociology, Economics, Business, Finance, Arts and Sports.

Applied Mathematics

The Mathematics Spectrum

Theoretical Mathematics

ApplicationAreas

Application areas include, but not limited to, Biology, Chemistry, Physics, Engineering, Computer Science, Medicine, Agriculture, Environmental Management, Sociology, Economics, Business, Finance, Arts and Sports.

Applied Mathematics

The Mathematics Spectrum

Theoretical Mathematics

ApplicationAreas

Application areas include, but not limited to, Biology, Chemistry, Physics, Engineering, Computer Science, Medicine, Agriculture, Environmental Management, Sociology, Economics, Business, Finance, Arts and Sports.

Applied Mathematics

The Mathematics Spectrum

Theoretical Mathematics

ApplicationAreas

In the Mathematics Spectrum, research topics from the Theoretical Mathematics side to the other side of Applied Mathematics are vital in the holistic and scientific development of strategies, policies and products.

Applied Mathematics

Scope

Theoretical Mathematics

ApplicationAreas

The scope of the Mathematics Division’s Research Agenda includes the green portion of the figure below.

Applied Mathematics

Cross/Inter/Trans-Disciplinary Collaboration

Theoretical Mathematics

ApplicationAreas

The scope of the Mathematics Division’s Research Agenda includes the green portion of the figure below. However, those that are beyond our scope can be tapped through COLLABORATION.

Applied Mathematics

Towards the National Goals

Theoretical Mathematics

ApplicationAreas

Applied Mathematics

A national goal in at least one of the vital sectors

Prioritization

Research topics that belong to the green area of the spectrum and that are justifiable to address one of the national goals will be prioritized.

Theoretical Mathematics

ApplicationAreas

Applied Mathematics

A national goal in at least one of the vital sectors

Prioritization

Example: A survey on human behavior during traffic congestion will not be prioritized. However, a study modeling the human behavior and a study on quantitative optimization of traffic routes will be prioritized.

Theoretical Mathematics

ApplicationAreas

Applied Mathematics

A national goal in at least one of the vital sectors

Prioritization

Note: It is encouraged that a theoretical mathematics research be motivated by a national goal.

Theoretical Mathematics

ApplicationAreas

Applied Mathematics

A national goal in at least one of the vital sectors

Prioritization

Research clusters should not spread its resources too thinly. To maximize impact of the research outputs, the research clusters are encouraged to formulate an umbrella program/project.

Theoretical Mathematics

ApplicationAreas

Applied Mathematics

A national goal in at least one of the vital sectors

The Mathematics Division’s RESEARCH AGENDA is summarized in the diagram:

Theoretical Mathematics

ApplicationAreas

Applied Mathematics

A national goal in at least one of the vital sectors