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About Mon Meach

Dr. Meach Mon is a mathematics educator, researcher, and lecturer with extensive experience in higher education, mathematical analysis, applied mathematics, and teacher training in Cambodia and Southeast Asia. He earned his PhD in Mathematics from Voronezh State University, Russia, specializing in mathematical modeling of vibrations of string and rod systems with localized features. His academic interests include mathematical analysis, differential equations, functional analysis, mathematical modeling, numerical methods, and mathematics education.

Since 2022, he has been serving as a Lecturer of Mathematics at Phnom Penh Teacher Education College. He has also taught at Heng Samrin Tboungkhmum University, Khemarak University, the Royal University of Phnom Penh, and Chea Sim University of Kamchaymear. Throughout his career, he has actively participated in numerous international research schools, workshops, conferences, and SEAMS/CIMPA programs across Asia and has presented research in applied mathematics, differential equations, dynamical systems, and mathematical modeling.

Motivation Letter

Dr. Mon Meach
Department of Mathematics
Phnom Penh Teacher Education College (PTEC)
Street 271, Group 19, Phum 11, Sangkat Teuk Laork 3
Khan Toul Kork, Phnom Penh, Cambodia
Email: meach.mon@ptec.edu.kh
Tel: +855 92 298 345

Dear Sir/Madam,

I am writing to express my strong interest in pursuing a postdoctoral research position in Mathematics, particularly in the areas of Partial Differential Equations, Functional Analysis, Distribution Theory, and Mathematical Modeling.

My academic journey began in 2001 when I received a scholarship to study Mathematics at the Royal University of Phnom Penh, Cambodia. After completing my Bachelor's degree in 2005, I was awarded a scholarship to continue my studies in the Russian Federation. I earned a Master's degree in Mathematics and subsequently pursued a Ph.D. in Mathematics at Voronezh State University, completing my doctoral studies in 2014.

Currently, I serve as a lecturer in the Department of Mathematics at Phnom Penh Teacher Education College, Cambodia. While my primary responsibilities focus on teaching, I remain committed to conducting research despite the limited research infrastructure and opportunities available in Cambodia. I strongly believe that research plays a crucial role in the advancement of higher education and scientific development in my country. Therefore, I continuously seek opportunities to expand my knowledge and contribute to mathematical research.

My doctoral research focused on the development of qualitative and approximate analytical methods for studying mathematical models describing small oscillations of strings and rod systems with singularities and non-smooth coefficients. The research investigated boundary value problems involving Radon–Nikodym derivatives and generalized differential operators. Particular attention was devoted to the correctness, uniqueness, and approximation of solutions to these mathematical models.

The principal contributions of my doctoral research include:

  • Investigation of mathematical models describing small oscillations of rod and string systems with internal singularities and discontinuities.
  • Proofs of existence, uniqueness, and correctness of the proposed mathematical models.
  • Development of finite element-type numerical methods for second- and fourth-order boundary value problems with non-smooth coefficients.
  • Derivation of error estimates for approximate solutions and analysis of convergence properties.
  • Development of efficient computational algorithms and software packages for numerical experiments involving singular boundary value problems.

In addition to my doctoral studies, I have actively participated in numerous international research schools and conferences, including CIMPA and SEAMS programs in Mongolia, Laos, and South Korea. These experiences exposed me to modern developments in Functional Analysis, Partial Differential Equations, Dynamical Systems, and Mathematical Physics.

Through these activities, I became particularly interested in the theory of distributions and its applications to Partial Differential Equations. I am fascinated by the role of distributional solutions in mathematical models arising from physics and engineering. For example, certain heat equations with Neumann boundary conditions naturally lead to weak or distributional solutions. This realization motivated me to deepen my understanding of distribution theory and explore its applications to complex PDEs involving singularities and irregular data.

My future research aims to investigate analytical and numerical methods for PDEs with distributional coefficients and singular sources. I am especially interested in identifying mathematical models from physics and engineering that can be formulated and analyzed using generalized functions and distribution theory. I believe that such research has significant theoretical importance and practical applications.

A postdoctoral position would provide me with an excellent opportunity to collaborate with leading researchers, strengthen my research skills, and contribute to ongoing projects in this field. Working in a stimulating research environment would significantly enhance my academic development and enable me to establish international research collaborations. Upon returning to Cambodia, I intend to apply the knowledge and experience gained to support the development of mathematical research and graduate education in my country.

Thank you for considering my application. I would be honored to contribute to your research community and look forward to the opportunity to discuss my qualifications further.

Yours sincerely,

Dr. Mon Meach
Department of Mathematics
Phnom Penh Teacher Education College (PTEC)
Cambodia

Research Interests

Hyperplane Arrangements: Recent Advances and Open ProblemsMathematical ModelingMathematicsPartial Differential Equations and their ApplicationsStochastic Processes: Theory and Applications
05.13.18 – Mathematical modelingnumerical methods and software packages

- Doctor of Philosophy (PhD) in Mathematics
* *Institution:* Voronezh State University, Voronezh, Russia
* *Timeline:* November 2010 – September 2014 (Awarded: September 24, 2014)
* *Dissertation:* "Mathematical Modeling of Vibrations of String and Rod Systems with Localized Features"
* *Supervisor:* Prof. Dr. S. A.Shabrov

- Master of Science in Mathematics at Voronezh State University, Russia Federation from 2008-2010
Thesis: EQUICONVERGENCE THEOREM FOR FUNCTIONALLY DIFFERENTIAL OF THE FIRST ORDER OPERATOR ON THE GRAPH
(Awarded: September 24, 2010), Supervisor: Prof. Dr Mariya Burlutskaya

- Master of Science in Education from Royal University of Phnom Penh, Cambodia, 2023-2025

* **Russian Language Program**
* *Institution: * Voronezh State University, Russia
* *Timeline: * October 2006 – September 2007

* **Bachelor of Science (B.Sc.) in Mathematics**
* *Institution:* Royal University of Phnom Penh (RUPP), Cambodia
* *Timeline: * September 2001 – June 2005

-High School Diploma
* *Institution: Srey Santor High School, Kampong Cham Province, Cambodia
* *Timeline: * September 1992 – June 2000

** Professional Training **
Advanced Public Administration Program at Royal School of Administration, Cambodia, Completed in 2022.
that focused on educational leadership, public policy, institutional governance, and administrative strategic planning.

- [13-21/08/2025] SEAMS School 2025 on Stochastic Processes: Theory and Applications at Lampung, Indonesia as Presenter.
- [14/07-22/07/2025] Participating at SEAMS School 2025 in University , Los Banos on Theoretical and Computational Tool for The Data Enabled Sciences, Los Banos, Philippines.
- [06/05-31/05/2025] Certificate for contribution in enhancing the Multiplier Effect of successful completion of the Regular Course RC-SM-148-4: Implementing Classroom-Based Assessment in Secondary Mathematic Education, Cambodia
- [06/05-31/05/2024] Certificate of Participation of successful completion of the Regular Course RC-SM-148-4: Implementing Classroom-Based Assessment in Secondary Mathematic Education, Penang, Malasia.
- [19/03-25/03/2023] Participated in and completed the International School on Computational Commutative Algebra at University of Education, Hue University, Vietnam.
- [05/09-16/09/2022] Certificate For attending at Summer School in Algorithms and Programming in Python, Royal University of Phnom Penh, Phnom Penh, Cambodia.
- [23/08-03/09/2021] Attend for the SEAMS School Philippines 2021” Modern Tools for Mathematical Modeling of Ecosystems.
- [11-21/03/2020] Attend to SEAMS School on Theory Algebra and Model theory on Hanoi institute in Vietnam.
- [06-15/11/2019] Has Successful Complete to participated to the CIMPA Research School on Mathematics at VAST in Hanoi Vietnam.
- [11-22/03/2019] Has Successful Completed to participate to CIMPA-IMH Research School on Hyperplane Arrangements: Recent Advances and open problems At Hanoi, Vietnam.
- [10-21/06/2019] Has Successful Complete to participated to the CIMPA Research School on Dynamical Systems and its Applications to Biology at Department of Mathematics, University of Dhaka, Bangladesh.
- [06-15/11/2018] Has Successful Complete to make presentation SEAMS School 2018 Research School on Partial Differential Equation and Their Application at Mandalay University, Myanmar.
- [25/10-05/11/2018] Has Successful Complete to make presentation CIMPA 2018 Research School on Dynamical Systems at Tribovania University, Kathmandu Capital, Nepal.
- [06-13/082018] Has Successful Complete to make presentation SEAMS School 2018 Research School on Dynamical Systems and Bifurcation Analysis at Penang City, University Sains Malaysia.
- [11-20/06/2018] Has Successful Completed the CIMPA-NIMS 2018 Research School on Symplicit embedding, systolic inequalities and celestial mechanics at Daejeon, South Korea.
- [10-12/10/2017] Has Successful Completed the 8th Asia Education Leaders Forum at Bangkok, Thailand.
- [16-28/07/2018] Has Successful Completed the CIMPA Research School on Functional Analysis and Partial Differential Equations and Making the Presentation about Mathematical Modeling on Uniqueness Resolutions of PDE at Khovd State University, Mongolia.
- The CIMPA Research School “Functional Analysis and Partial Differential Equations” was held during July 16-28, 2017 at the Khovd University in Khovd city. It was organized by Professor Carole Rosier, University of the Littoral Opal Coast in France and Professor Sarantuya
Tsedendamba, Professor Team “Differential Equations in Ecology” in the School of Applied Sciences at the Mongolian University of Science and Technology (MUST).

- [03-13/01/2017] Has Successful Completed the CIMPA Research School-Laos 2017 on Introduction to the Mathematical Analysis of Differential Equations and Real-Life Applications at National University of Laos (NUOL), Vientiane Capital, Laos PDR.
- [08-10/12/2016] Making presentation in the First Angkor International Conference on Applied Mathematics and Statistics at Angkor Paradise Hotel, Seam Reap Province, Cambodia.
- [21-23/10/2015] Participant to the second National Conference of Mathematics at Angkor Paradise Hotel, Siem Reap, Cambodia.
- [02-04/09/2015] Participant to the 6-th International Conference on Numerical Optimization and Operations Research at the Angkor Paradise Hotel, Siem Reap, Cambodia.
- [10-14/08/2015] Participating in the 8-th International Congress on Industrial and Applied Mathematics in Beijing, China.
- [2013--2014] Presentation (Mathematical Modeling of the small free and forced oscillation of string and rod system) for Conference at Voronezh Spring Mathematics School (Pontryaginski Reading-XXV) in Russia.

** Ministry of Education Youth, & Sports
CERTIFICATE OF EDUCATION
Hereby Certified that MEACH MON, Sex: Male, as a National Trainer, Subject: Mathematics.
Actively participated and concluded by Victory in National Orientation Training and Accredited National Trainer Course, 04 Courses In credit, Total 105 Hours in 2019 and 2020 was organized by the Regional Pedagogical Center Development Committee and Teacher Training School of the Ministry of Education, Youth and Sports
This Certificate is issued to the bearer for official using wherever applicable.
Date 10, January 2022 **

- Certificate of Appreciation as the Reviewer in BAREKENG Journal of Mathematics and Applications Volume 20 issue 1 March 2026, Scopus for article entitled: Graph Energy of the Coprime Graph on Generalized Quaternion Group.

## Professional & Academic Experience

* **Lecturer of Mathematics** | *Phnom Penh Teacher Education College (PTEC), Cambodia*
*November 2022 – Present*
* Teaching advanced mathematics to future educators, contributing to faculty science education curriculum development.

* **Lecturer of Mathematics** | *Heng Samrin Tboungkhmum University, Cambodia*
*November 2016 – July 2022*
* **Lecturer of Mathematics** | *Chea Sim University of Kamchaymear, Kampong Cham, Cambodia*
*2017 – Present*
* **Lecturer of Mathematics (Faculty of Engineering)** | *Royal University of Phnom Penh (RUPP), Cambodia*
*September 2015 – March 2016*
* Taught "Calculus for Scientists and Engineers" to second-year engineering students.

* **Lecturer of Mathematics** | *Khemarak University, Phnom Penh, Cambodia*
*November 2014 – 2016*

## Core Research Interests

* Mathematical Modeling and Applied Mathematics
* Partial Differential Equations & Boundary Value Problems
* Hyperplane Arrangements (Recent Advances and Open Problems)
* Stochastic Processes: Theory and Applications
* Mathematics Education and Diagnostic Teaching methodologies

## Selected Publications & Research Work

* *Book (2025):* **"About the correctness of mathematical models of small transverse vibrations stylesource strings with arbitrary mass distribution."**
* *Research Paper / Presentation (2025):* **"The function of the differential impact model fourth order."** (Proving existence and uniqueness of the boundary value problem in rod systems).
* *Research Book (2023):* **"The Theory and problems of real variables; Lebesgue measure and integration with. Equi-Convergence Theorem for Functionally Differential of The First Order Operator on the Graph."**
* *Academic Paper:* **"Mathematical model of small free and forced oscillations of a string and rod system."** (Utilizing finite elements and Python scripts for theorem applications).

## Professional Development & International Schools

Dr. Mon actively participates in international networks, including Southeast Asian Mathematical Society (SEAMS) and Centre International de Mathématiques Pures et Appliquées (CIMPA) programs:

* **2025:** Presenter, SEAMS School on *Stochastic Processes: Theory and Applications*, Lampung, Indonesia.
* **2022:** International School on Computational Commutative Algebra, Hue University, Vietnam.
* **2021:** Summer School on Algorithms and Programming in Python, Royal University of Phnom Penh.
* **2020:** SEAMS School Philippines: *Modern Tools for Mathematical Modeling of Ecosystems*.
* **2019:** CIMPA Research School on Mathematics, Vietnam Academy of Science and Technology (VAST), Hanoi, Vietnam.
* **2018:** CIMPA Research School on Dynamical Systems and Applications to Biology, University of Dhaka, Bangladesh.

## Skills & Core Competencies

* **Languages:** Khmer (Native), Russian (Fluent), English (Academic/Professional).
* **Technical/Programming:** Python (applied mathematics applications), Mathematical Analysis software.
* **Academic Services:** Peer Reviewer for mathematical journals and conferences.

Selected Publications

Journal Articles / Conference Papers

1- О ЕДИНСТВЕННОСТИ РЕШЕНИЯ МАТЕМАТИЧЕСКОЙ МОДЕЛИ ВЫНУЖДЕННЫХ КОЛЕБАНИЙ СТРУНЫ С ОСОБЕННОСТЯМИ

Баев А.Д., Шабров С.А., Меач Мон., Вестник Воронежского государственного университета. Серия: Физика. Математика. 2014. № 1. С. 50-55.

2- МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ КОЛЕБАНИЙ СТРУННЫХ И СТЕРЖНЕВЫХ СИСТЕМ С ЛОКАЛИЗОВАННЫМИ ОСОБЕННОСТЯМИ

Меач М. автореферат диссертации на соискание ученой степени кандидата физико-математических наук / Воронеж. гос. ун-т. Воронеж, 2014

3- О ЕДИНСТВЕННОСТИ КЛАССИЧЕСКОГО РЕШЕНИЯ МАТЕМАТИЧЕСКОЙ МОДЕЛИ ВЫНУЖДЕННЫХ КОЛЕБАНИЙ СТЕРЖНЕВОЙ СИСТЕМЫ С ОСОБЕННОСТЯМИ

Баев А.Д., Шабров С.А., Голованёва Ф.В., Меач Мон.,Вестник Воронежского государственного университета. Серия: Физика. Математика. 2014. № 2. С. 74-80.

4- О КОРРЕКТНОСТИ МАТЕМАТИЧЕСКОЙ МОДЕЛИ МАЛЫХ ПОПЕРЕЧНЫХ КОЛЕБАНИЙ СТИЛТЬЕСОВСКОЙ СТРУНЫ С ПРОИЗВОЛЬНЫМ РАСПРЕДЕЛЕНИЕМ МАСС

Меач М. Вестник Воронежского института ГПС МЧС России. 2014. № 2 (11). С. 31-35.

5- ФУНКЦИЯ ВЛИЯНИЯ ДИФФЕРЕНЦИАЛЬНОЙ МОДЕЛИ ЧЕТВЕРТОГО ПОРЯДКА

Баев А.Д., Шабров С.А., Голованёва Ф.В., Меач Мон. Вестник Воронежского института ГПС МЧС России. 2014. № 3 (12). С. 65-73.

6- АДАПТАЦИЯ МЕТОДА КОНЕЧНЫХ ЭЛЕМЕНТОВ ДЛЯ ОДНОЙ МАТЕМАТИЧЕСКОЙ МОДЕЛИ С НЕГЛАДКИМИ РЕШЕНИЯМИ, DOI: 10.12737/14444

Голованева Ф.В., Меач М. Актуальные направления научных исследований XXI века: теория и практика. 2015. Т. 3. № 5-1 (16-1). С. 19-22.

7- АДАПТАЦИЯ МЕТОДА КОНЕЧНЫХ ЭЛЕМЕНТОВ ДЛЯ МАТЕМАТИЧЕСКОЙ МОДЕЛИ ВТОРОГО ПОРЯДКА С НЕГЛАДКИМИ РЕШЕНИЯМИ, DOI: 10.12737/16925

Голованева Ф.В., Меач М., Шабров С.А. Актуальные направления научных исследований XXI века: теория и практика. 2015. Т. 3. № 9-3 (20-3). С. 292-295.

8- О МЕТОДЕ КОНЕЧНЫХ ЭЛЕМЕНТОВ ДЛЯ МАТЕМАТИЧЕСКОЙ МОДЕЛИ ЧЕТВЕРТОГО ПОРЯДКА С НЕГЛАДКИМИ КОЭФФИЦИЕНТАМИ

Голованева Ф.В., Меач М. Актуальные направления научных исследований XXI века: теория и практика. 2014. Т. 2. № 5-2 (10-2). С. 24-26.

9- О МЕТОДЕ КОНЕЧНЫХ ЭЛЕМЕНТОВ ДЛЯ МАТЕМАТИЧЕСКОЙ МОДЕЛИ ВТОРОГО ПОРЯДКА С НЕГЛАДКИМИ КОЭФФИЦИЕНТАМИ

Меач М. Актуальные направления научных исследований XXI века: теория и практика. 2014. Т. 2. № 5-2 (10-2). С. 43-45.

10- О ЕДИНСТВЕННОСТИ РЕШЕНИЯ МАТЕМАТИЧЕСКОЙ МОДЕЛИ, ОПИСЫВАЮЩЕЙ МАЛЫЕ КОЛЕБАНИЯ СТИЛТЬЕСОВСКОЙ СТРУНЫ СО СОСРЕДОТОЧЕННЫМИ МАССАМИ

Меач М. В сборнике: СОВРЕМЕННЫЕ ПРОБЛЕМЫ ТЕОРИИ ФУНКЦИЙ И ИХ ПРИЛОЖЕНИЯ. Материалы 17-й международной Саратовской зимней школы, посвященной 150-летию со дня рождения В. А. Стеклова. 2014. С. 186-187.

11-О КОРНЯХ НЕКОТОРЫХ ПОЛИНОМОВ БЕРНШТЕЙНА, ИСПОЛЬЗУЕМЫХ В ТЕОРИИ ВСПЛЕСКОВ

Меач Мон (Воронеж), Издательство Воронежского государственного университета, 394053, г. Воронеж, Университетская пл., 1. Тир. 500 экз. Подписано к печати 15.04.2013

SEMANTIC SCHOLAR:Meach Mon - Google Scholar and https://scholar.google.com/citations?user=mS3O68MAAAAJ&hl=en

Journal Articles

  1. Baev, A. D., Shabrov, S. A., & Meach, M. (2014).
    Uniqueness of the solution of a mathematical model describing small vibrations of Stieltjes string with concentrated masses.https://zbmath.org/1311.35140
    Vestnik Voronezh State University. Series: Physics and Mathematics, 1, 50–55.
  2. Baev, A. D., Shabrov, S. A., Golovaneva, F. V., & Meach, M. (2014).
    About unique classical solution of mathematical model of forced vibrations rod system with singularities.
    Vestnik Voronezh State University. Series: Physics and Mathematics, 2, 57–63.
  3. Meach, M. (2014).
    On the correctness of mathematical models of small transverse vibrations of Stieltjes string with arbitrary mass distribution.
    Vestnik Voronezh Institute of GPS and EMERCOM of Russia, 2, 31–34.
  4. Meach, M. (2014).
    On function of influence of a fourth-order differential model.
    Pontryagin Readings XXIV, 6–7.

Conference Proceedings

  1. Golovaneva, F. V., Shabrov, S. A., & Meach, M. (2014).
    On the finite element method for mathematical second-order model with non-smooth coefficients.
    In Contemporary Mathematical Methods, Models, Applications, pp. 43-45.,DOI:10.12737/6745., https://vuzdoc.ru/221239/-/metode_konechnyh_elementov_matematicheskoy_modeli_vtorogo_poryadka_negladkimi_koeffitsientami
  2. Golovaneva, F. V., Shabrov, S. A., & Meach, M. (2014).
    On finite element method for mathematical fourth-order model with non-smooth coefficients.
    In Current Problems in Mathematics, pp. 21–26.DOI: 10.12737/6738
  3. Meach, M. (2014).
    Adaptation of finite element method for mathematical model of second order with non-smooth coefficients.
    Pontryagin Readings XXV, pp. 122–124.DOI: 10Л2737/16925
  4. Meach, M. (2013).
    Some roots of Bernstein polynomials used in wavelet theory.
    In Voronezh Spring Mathematical School Proceedings, pp. 65–73.
  5. Meach, M. (2010).
    Equiconvergence theorem for a functional-differential operator of first order on a graph.
    Pontryagin Readings XXIII.

Recent Publications

  1. Meach, M. (2025).
    Mathematical Modeling of Vibrations of String and Rod Systems with Localized Features.
    Voronezh State University Conference Proceedings.
    DOI: DOI Record 
  2. Meach, M., Dinh, T. D. L., Hjh, N. F. M. M., Rahmadina, & Ngo, T. B. (2024). Design and implementation of classroom-based assessment in teaching trigonometric ratios. In Proceedings of the SEAMEO RECSAM Conference 2024. SEAMEO RECSAM.
  3. Chheang, S., Srun, N., Meach, M., Mol, P., & Ly, S. Fostering Student Teachers to Become Self-Directed  Learners though Teamwork and Reflection.

Books

  • Meach, M. (2023). Theory of Wavelets I.  Phnom Penh Teacher Education College Library Press.https://www.researchgate.net/publication/376170888_Theory_of_Wavelets_chapter_1
  • Meach, M. (2024). Sequence   function in a symmetry space. Phnom Penh Teacher Education College Library Press. https://www.researchgate.net/publication/392771928_6043_6086_6048_6047_6090_6072_6040_6081_6033_6098_6042_6072_6035_6083_6050_6035_6075_6018_6040_6035_6093
  • Meach, M. (2023). Linear Algebra II. Phnom Penh Teacher Education College Library Press. https://www.researchgate.net/publication/376171012_Linear_Algebra.
  • Meach, M. (2023). Measure theory and integral application. Phnom Penh Teacher Education College Library Press.https://www.researchgate.net/publication/376186162_6033_6098_6042_6073_6047_6098_6031_6072_6042_6020_6098_6044_6070_6047_6091_95_6035_6071_6020_6050_6035_6075_6044_6031_6098_6031_6035_6093_6050_6070_6086_6020_6031_6081_6016_6098_6042_6070_6043
  • Meach, M., & Chhean, H. (2024). General mathematical analysis 3. Battambang Teacher Education College Press.https://btec.edu.kh/library/read/1765784517_44_General%20Analysis%203%20.pdf
  • Meach, M. (2021). Mathematics for computer science. University of Heng Samrin Thbongkhmum.https://uhstlibrary.com/documentdetail/167?page=9
  • Meach, M. (2021). Teaching mathematics and problem solving with mind mapping. University of Heng Samrin Thbongkhmum.

Dissertation / Thesis

  • Meach, M. (2014).
    Mathematical Modeling of Vibrations of String and Rod Systems with Localized Features (PhD Dissertation, Candidate of Physical and Mathematical Sciences). Voronezh State University, Voronezh, Russia. 135 pp.
    Available at:

    Bibliographic description confirmed through dissertation records indicating a 2014 defense at Voronezh State University and a dissertation of 135 pages.Home - Google Drive

  • Meach, M. (2010).
    Equiconvergence Theorem for a Functional-Differential Operator of First Order on a Graph (Master’s Thesis). Voronezh State University, Voronezh, Russia., Home - Google Drive
  • Home - Google Drive

Other Work

Meach, M., & Ty, H. (2026). Modernization processes in Cambodia's political system: Contradictions and expectations. ResearchGate. https://doi.org/10.13140/RG.2.2.19870.40007