CV Thilini

7/30/2019 CV Thilini

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ITS Piyatilake First Name: Thilini

Address: 377/2, De Soysa Road,

Molpe, Moratuwa, Sri Lanka

10400.Date of Birth: 29th April, 1985

Sex: Female

Nationality: Sri Lankan

Phone: +94772061800

Mobile: +94771177578

E-mail: [email protected]

Motivation An enthusiastic and adaptive individual with an interest in the discovery

of new trends and approaches in Mathematical Modeling, particularly

enjoy collaborating with experts from different disciplines in

Mathematical Modeling to develop new skills and solve real world

problems.

Education and Research August 2012 - present: Department of Mathematics, University of

Colombo, Sri Lanka

Research Assistant and Ph.D. Student inMathematical Modeling Title: Developing and validating a mathematical model to

quantify air quality in Sri Lanka.

Supervisors: (1) Dr. SK Boralugoda (2) Dr. SSN Perera

Development of a mathematical model which describes how

peak concentrations will change in response to prescribed

changes in meteorology and in the source of pollution.

Identification of optimal control strategies for the

controllability of the air pollution.

Full details in attached appendix

2006 – 2010, University of Ruhuna, Sri Lanka

B.Sc. (Hons) Mathematics (Special), First ClassUndergraduate research topics:

Identify risk factors of childhood asthma among 5-12 years old

children in the Colombo municipal council area using logistic

regression. Unidirectional search method based on MATHEMATICA.

Modules studied include;

Mathematics, Applied Mathematics, Statistics, Computer Science

Major courses include;

Differential Equations, Classical Mechanics (Dynamics/Statics/Fluid

Dynamics), Vector Analysis, Mathematical Modeling, Algebra, Calculus,

Computational Mathematics, Real Analysis, Linear Algebra, Geometry,

Numerical Methods, Stochastic Analysis, Stochastic Process, Complex

Analysis, Measure Theory, Topology, Number Theory, Applied

Probability, Mathematical Statistics, Applied Statistics, Time Series

Analysis, Bayesian Inference and Decision Theory, Categorical Data



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Achievements “Identify risk factors of childhood asthma among 5-12 years old children

in the Colombo municipal council area” proceeding of 9th Academic

Sessions, page 26, University of Ruhuna, Sri Lanka (February 2012).

Experience 2010 December-2012 June: Department of Mathematics,

University of Ruhuna, Sri Lanka

I worked as a Temporary Instructor. My responsibilities wereconducting lectures/tutorial classes, preparation of tutorials,

guiding students’ projects and conducting computer practical

classes for B.Sc. (General/Special) undergraduates.

The areas covered;

Real Analysis, B.Sc. Level II, No. of Students

(Approximately) 180 (2011).

Mathematical Modeling, B.Sc. Level I, No. of Students


Differential Equations, B.Sc. Level I, No. of Students


Introductory Statistics, B.Sc. Level I, No. of Students


R statistical software, B.Sc. (Special), No. of Students

(Approximately) 7 (2011, 2012).

MINITAB, B.Sc. Level III, No. of Students


JAVA and C programming languages.

Key Skills IT: Ability to work in the environments of Linux and

Windows operating systems, Good knowledge of

Microsoft office packages, Extensive knowledge of

advanced mathematical computing packages such as

MATHEMATICA and MATLAB and statistical software

packages such as R, SPSS and MINITAB, Goodknowledge of JAVA and C programming languages.

Language: Fluency in English language both writing and

speaking.

Communication: Ability to present research findings at

conferences and industrial meetings in written, poster and

oral form, Developed interpersonal skills.

Team: Posses with excellent leadership skills.

Referees First reference - Research Supervisor

Dr. SK Boralugoda, PhDSenior Lecturer in Mathematics

Department of Mathematics

University of Colombo-Sri Lanka

Phone: +94112501731

Mobile: +94 714478791


Second reference – Research Supervisor

Dr.SSN Perera, PhDSenior Lecturer in Mathematics

Department of Mathematics

University of Colombo-Sri Lanka

Phone: +94112507010

Mobile: +94 715352616




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Research Abstract

Air pollution is now becoming a critical issue in both developed and developing countries. This

issue has been seriously emerged in Sri Lanka with no difference in other Asian countries. Recent

researches reveal that Sri Lanka has witnessed the significant increase in the level of ambient air pollution due to urbanization and increasing levels of industrializations. The main ambient

pollutants are Carbon Dioxide, Carbon Monoxide, Nitrogen Oxides, Sulphur Oxides and Lead

which cannot exist alone and produce a complex mixture of each of pollutants. In Sri Lanka the

impact of air pollutants on public health and environment has become a major issue. Therefore it

is worthwhile to make use of mathematical illustrations to controlling measures of air pollutions.

Dynamics of air pollution can be formulated via a system of ODEs/PDEs.The mathematical

model is used to account for momentum, mass, heat and energy of pollutant air. Using field

data/literature, parameter values will be identified and sensitivity of model with respect to

external variables will be studied by defining set of sensitivity equations and using phase portrait.

In our approach the parameter values will be allowed to vary within reliable bounds. Thus, rangemodeling is the typical approach here. It is important in two ways. First, effect of varying

dynamics can be incorporated better than in a classical deterministic approach. On the other hand,

it would minimize the burden of lack of data, where fully stochastic model is not possible.

Enumerating the impact of human awareness and subsequent response is a challenging task as it

is infused with many other time-specific and regional factors. Thus Fuzzy logic and Fuzzy

integrals will be used here to model the behavior of humans in controllability of air quality.

Equilibrium levels can be identified via phase-plane analysis.

Cost functional will be identified to recognized control strategies with respect to control

parameters and aimed to minimize the investment in control the air quality and the risk of air

pollution.



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Statement of Purpose

Applying for the Advanced School and Workshop in Real and Complex

Dynamics

I was really pleased to see that the calling for application for the Advanced School and

Workshop in Real and Complex Dynamics because I am highly interested in the above

said field of study and to carry out research activities on Mathematical modeling in

dynamics.

I am a Sri Lankan. After successfully completed my GCE Advanced Level Examination

in Mathematics stream in 2005 was selected as an internal student for University of

Ruhuna to follow a B.Sc. in Physical Science comprising Mathematics, Applied

Mathematics and Computer Science. In 2008, I was selected to follow the four year

Mathematics Special Degree Program, which was a remarkable opportunity a student

could get; only 8 students were selected out of nearly 200 students in the batch to do the

course. My study consisted of Differential Equations, Classical Mechanics

(Dynamics/Statics/Fluid Dynamics), Vector Analysis, Mathematical Modeling, Algebra,

Calculus, Computational Mathematics, Real Analysis, Linear Algebra, Geometry,

Numerical Methods, Stochastic Analysis, Stochastic Process, Complex Analysis, Measure

Theory, Topology, Number Theory, Applied Probability, Mathematical Statistics, Applied

Statistics, Time Series Analysis, Bayesian Inference and Categorical Data.

I started my research activities in B.Sc. special degree and the topic was “ Identify risk

factors of childhood asthma among 5-12 years old children in the Colombo municipal

council area using logistic regression”. Furthermore, I carried out a seminar under the

topic “Case-control studies, odds ratio and relative risk ”. The training, I had during my

mathematics major B.Sc. Special degree had greatly improved my ability in logical

reasoning and finding optimal or best possible solutions to problems within reasonable

time. Finally, I completed the four year degree program very successfully. My Special

degree overall average was 70%. I obtained a First Class Honors from the University of

Ruhuna, Sri Lanka. As a result of my excellent academic performance; I was hired as a

Temporary Instructor in the Department of Mathematics, University of Ruhuna, Sri

Lanka since 21st

of December 2010 to 20th

June 2012 which is a period of one and a half

years.

It was my desired interest in further Mathematics studies; I applied for a Ph.D. program

in Mathematical Modeling which is being conducted under World Bank financial

assistance in Department of Mathematics, University of Colombo, Sri Lanka. The

opportunity was for only three Ph.D. Research Assistantship positions but I was selected

by the panel of interviewers considering my solid academic records in Mathematics.



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I have been working on modeling the transmission of pollutant in the air and optimal

control strategies for air quality. Meantime I have been carrying out my research on

Mathematical modeling in dynamic systems in environment pollution. I use MATLAB and

C programming for my modeling and simulation tasks.

I strongly believe this session will be extremely useful for me to understand the newapproaches in Mathematical modeling in real and complex dynamics. Hence I would be

able to solve my research problem with innovative, productive and more analytically with

the knowledge I gather from this school and workshop. I would be very pleased if I could

be selected to participate for this valuable lecture series on real and complex dynamics.

Thank you very much for the consideration.

Documents

CV Thilini