Mr. Indika Amarasinghe

Lecturer | Department of Mathematics and Statistics | Faculty of Humanities & Sciences

CAREER SUMMARY

  • Mr. Indika Shameera Amarasinghe is currently working as a Full-time Lecturer in Mathematics at the Department of Mathematics and Statistics (DMS) at SLIIT UNI, Malabe. He has more than 10 years of lecturing and academic experience in Mathematics in Sri Lankan state and non-state Universities. He has maintained a very good track record on academic publications in Mathematics (Pure Mathematics) by publishing many refereed publications in reputed International Mathematics Journals with good citations, even way before (since the period of first-year undergrad as the single author) obtaining his Bachelor’s Degree. He has also academically edited and proofread over 10 Pure Mathematics course materials, including some of his own content, issued by The Open University of Sri Lanka (OUSL) in line with SLQF guidelines. (i.e. PEU3300-Mathematical Logic and Mathematical Proofs, PEU3301-Foundations of Mathematics, PEU4300-Real Analysis I, PEU4301-Real Analysis II, etc)
  • Lecturer in Mathematics (Full-Time), Department of Mathematics and Statistics, Faculty of Humanities and Sciences, Sri Lanka Institute of Information Technology (SLIIT UNI), Malabe. (2022 Dec - Present)
  • Lecturer (Adjunct) in Mathematics, Department of Mathematics and Statistics, Faculty of Humanities and Sciences, Sri Lanka Institute of Information Technology (SLIIT UNI), Malabe. (2021 May - 2022 Dec)
  • Teaching Assistant (Full-Time) in Mathematics - Department of Mathematics, Faculty of Natural Sciences, The Open University of Sri Lanka (OUSL), Nawala. (2016 Oct - 2019 Mar)
  • Graduate Mentor & Student Mentor in Mathematics – Department of Mathematics, The Open University of Sri Lanka (OUSL), Nawala. (2014 Jan - 2019 Mar)
  • Visiting Lecturer in Mathematics – Skills College of Technology (SCOT Campus), Nugegoda. (2019 May - 2021 Apr)
  • Lecturer in Mathematics (Contractual/Part-time basis) – Colombo School of Construction Technology (CSCT Campus), Pita Kotte. (2019 Jun - 2023 Feb)
  • Visiting Lecturer in Mathematics - Swinburne University of Technology, Australia (In Partnership with Nawaloka College of Higher Studies (NCHS), Colombo) (2022 Jun - 2023 Feb)
  • Visiting Lecturer in Mathematics – Nawaloka College of Higher Studies (NCHS), Colombo (For USA Transfer Programs). (2022 Jun - 2023 Feb)
  • Visiting Lecturer in Engineering Mechanics – British Institute of Engineering & Technology (BIET), Colombo. (2021 Aug - 2022 May)
  • Visiting Lecturer in Mathematics – Matrix Institute of Information Technology, Colombo. (2020 Jan - 2021 Jan)
  • Lecturer (Part-time) in Mathematics - Metropolitan College, Colombo. (2022 Mar - 2023 Feb)

 

 

Volunteer/Invited Appointments

  • Serving as an Academic Referee/Reviewer in Taylor and Francis Peer-reviewed Journals (From 2016) and in some journals of other international academic publishers.

 

ACADEMIC QUALIFICATIONS

  • Bachelor of Science (Hons) Degree in Mathematics (Pure Mathematics Major), The Open University of Sri Lanka (OUSL), Nawala (2nd Class Upper Division) (2nd Major: Applied Mathematics, Minor: Physics,123 Overall Credits)

 

  • Certificates in Graduate Mentoring in Mathematics (Under HETC Project, UGC, Sri  Lanka), offered by Faculty of Natural Sciences, The Open University of Sri Lanka (OUSL), Nawala.

 

  • Certificate in Teaching Methodology in Higher Education (with ISO 9001 Certification by SLSI), conducted by the Staff Development Center (SDC), Sri Lanka Institute of Information Technology (SLIIT UNI), Malabe.

HONOURS AND AWARDS

  • Best Paper Award & Won the Gold Medal under the Mathematics and Statistics Track at the SLIIT International Conference in Sciences and Humanities (SICASH 2024), December, 2024, Monarch Imperial, Colombo, Sri Lanka.
  • Best Paper Award (Including the Best Presentation) & Won the Gold Medal under the Mathematics and Statistics Track at the SLIIT International Conference in Sciences and Humanities (SICASH 2023), December, 2023, Colombo, Sri Lanka.
  • Most Viewed Researcher of Mathematics research papers (throughout consecutive 3 years) in the Department of Mathematics, Faculty of Natural Sciences, OUSL, on the reputed Research Gate (RG) platform.
  • Invited to serve as an Academic referee on Mathematics Research Papers by several renowned International Journals and Academic Publishers. (Taylor and Francis Journals, Lap Lambert, Dergi Park,...,etc)
  • Awarded the Mahapola & Bursary Scholarships from the Open University of Sri Lanka based on the academic performance.
     

RESEARCH INTERESTS AND MEMBERSHIP

Research Interests

Advanced Euclidean Geometry, Analytical Geometry, Hyperbolic Geometry, Geometry of Manifolds,  Advanced Mathematical Logic, Real Analysis, Undergraduate Pure Mathematics Education

RESEARCH CLUSTERS

Exploring the Properties of Two and Three Dimensional Cevian Triangles

Centre of Excellence for AI (CEAI)

A multidisciplinary initiative advancing AI research in machine learning, NLP, and big data analytics to solve complex global challenges and drive intelligent decision-making.

 

ONGOING RESEARCH

  • The Significance of Mathematical Logic and Mathematical Proofs in Learning and Teaching Mathematics (A review article: in preparation).
  • Right-angled Cevian Triangle Centers and their Distances. (Prepared).
  • In direct Proofs for Several Theorems in Advanced Euclidean Geometry. (In preparation).
  • Hyperbolic Versions of the Theorems of Advanced Euclidean Geometry.
  • Euclidean Metrics and Geometry in 3 Dimensional Euclidean Solid Objects.
  • Applications of Advanced Euclidean Geometry to Structural Analysis.

PUBLICATIONS

  • Conference Proceedings 2024

    The Geometry Involving a Right-Cevian Triangle

    G.W.I.S. Amarasinghe, (SICASH 2024 (SLIIT International Conference on Sciences and Humanities) )

  • Journal Publications 2023

    An Alternative Proof of Ptolemy's Theorem and Its Variations

    Indika Shameera Amarasinghe, “SLIIT Journal of Humanities and Sciences (SJHS)” , pp. 01-11

  • Conference Proceedings 2023

    On Ptolemy's Theorem and Related Derivatives

    Indika Shameera Amarasinghe, (SICASH 2023 (SLIIT International Conference on Sciences and Humanities, 2023.12.02))

  • Book Chapters 2012

    4 Further Results in Euclidean Geometry

    Indika Shameera Amarasinghe,

  • Journal Publications 2017

    A Visual Type New Proof for an Angle Bisector Inequality (Proofs without words)

    Indika Shameera Amarasinghe, “The Open Quarterly” , pp. 22

  • Journal Publications 2017

    Fun with Mathematics: A Mathematical Joke (A Review Article)

    Indika Shameera Amarasinghe, “The Open Quarterly” , pp. 22

  • Conference Proceedings 2010

    Advanced Plane Geometry Research 3: Alternative Proofs for the Standard Theorems in Plane Geometry

    Indika Shameera Amarasinghe,

  • Conference Proceedings 2010

    Advanced Plane Geometry Research 2

    Indika Shameera Amarasinghe, (Proceedings of the 66th Annual Sessions of Sri Lanka Association for the Advancement of Science (SLAAS))

  • Conference Proceedings 2010

    Advanced Plane Geometry Research 1

    Indika Shameera Amarasinghe, (Proceedings of the 66th Annual Sessions of Sri Lanka Association for the Advancement of Science (SLAAS))

  • Journal Publications 2012

    A Nice Correlation On Quadrilaterals

    Indika Shameera Amarasinghe, “Mathematical Spectrum” , pp. 139, 88-89

  • Journal Publications 2012

    Proposed Problem 3590 and Its Solution

    Indika Shameera Amarasinghe, “Crux Mathematicorum” , pp. 545-559

  • Journal Publications 2011

    The Jungle Gym: Problem 260, A Perimetric Equation

    Indika Shameera Amarasinghe, “Math Horizons” , pp. 30

  • Journal Publications 2011

    New Proofs for Stewart's Theorem

    Indika Shameera Amarasinghe, “Mathematical Spectrum” , pp. 138-139

  • Journal Publications 2014

    Aufgabe 1330: Cevians with Inverse Ratio Segments

    Indika Shameera Amarasinghe, “Elemente Der Mathematik” , pp. 162

  • Journal Publications 2011

    A Prominent Correlation on the Extended Angle Bisector

    Indika Shameera Amarasinghe, “Journal of the World Federation of National Mathematics Competitions” , pp. 33-36

  • Journal Publications 2013

    A Concise Elementary Proof for the Ptolemy's Theorem

    Indika Shameera Amarasinghe, “Global Journal of Advanced Research on Classical and Modern Geometries (GJARCMG)” , pp. 20-25

  • Journal Publications 2012

    On the Standard Lengths of Angle Bisectors and the Angle Bisector Theorem

    Indika Shameera Amarasinghe, “Global Journal of Advanced Research on Classical and Modern Geometries (GJARCMG)” , pp. 15-27

  • Journal Publications 2011

    A New Theorem on any Right-angled Cevian Triangle

    Indika Shameera Amarasinghe, “Journal of the World Federation of National Mathematics Competitions” , pp. 29-37

  • Journal Publications 2014

    Problem 1938: A Proposed Problem on Equal Cevians,

    Indika Shameera Amarasinghe, “Mathematics Magazine” , pp. 62

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