My research interests lie in the field of number theory. More specifically, I have been working on problems concerning Mahler measures, hypergeometric series, special values of L-functions, modular forms, arithmetic of algebraic varieties, and arithmetic dynamics. My Ph.D. thesis entitled "Mahler measures of hypergeometric families of Calabi-Yau varieties" consists primarily of papers # 1, 3 and 4 in the list below.
Here are links to my Google Scholar and ResearchGate. My research is currently jointly supported by Thailand Research Fund (TRF), Faculty of Science Burapha University, and Burapha University Research and Development Fund (2021-2024).
Here are links to my Google Scholar and ResearchGate. My research is currently jointly supported by Thailand Research Fund (TRF), Faculty of Science Burapha University, and Burapha University Research and Development Fund (2021-2024).
[Upcoming conferences, workshops, and seminars]
[Publications & Preprints]
17. A dynamical system proof of Niven's theorem and its extensions (with C. Panraksa and S. Sriwongsa), Bulletin of the Australian Mathematical Society 109 (2024), 138-151 [Journal] [arXiv]
16. On an extension of Niven's theorem, International Journal of Mathematical Education in Science and Technology 55 (2024), 1024-1031 [Journal]
15. Mahler measure of a non-reciprocal family of elliptic curves, Quarterly Journal of Mathematics 74 (2023), 1187-1208 [Journal] [Corrigendum] [arXiv]
14. On determinants of matrices generated from values of polynomials (with T. Palakawong), Mathematical Journal by the Mathematical Association of Thailand Under the Patronage of His Majesty the King (2022) 67(707), 1-12. [Journal]
13. Solutions to a quadratic equation over finite fields (with P. Wongkumpra), Proceedings of the 26th Annual Meeting in Mathematics (AMM 2022) [PDF]
12. A functional identity for Mahler measures of non-tempered polynomials, Integral Transforms and Special Functions (2021), 32:1, 78-89 [Journal] [arXiv]
11. On polynomials generated by hyper-Fibonacci numbers (with J. Boonyarak), Proceedings of the Annual Pure and Applied Mathematics Conference 2020 (APAM 2020) [PDF]
10. Mahler measures of a family of non-tempered polynomials and Boyd's conjectures (with Y. Meemark), Research in the Mathematical Sciences (2020) 7:1 [Journal] [arXiv]
9. On a non-critical symmetric square L-value of the congruent number elliptic curves, Bulletin of the Australian Mathematical Society 101 (2020), 13-22 [Journal] [arXiv]
8. A polyharmonic Maass form of depth 3/2 for SL2(Z) (with S. Ahlgren and N. Andersen), Journal of Mathematical Analysis and Applications 468 (2018), 1018–1042 [Journal] [arXiv]
7. A note on cusp forms as p-adic limits (with S. Ahlgren), Journal of Number Theory 168 (2016), 360–373 [Journal] [arXiv]
6. Feynman integrals and critical modular L-values, Communications in Number Theory and Physics 10 (2016), no. 1, 133–156 [Journal] [arXiv]
5. Further explorations of Boyd’s conjectures and a conductor 21 elliptic curve (with M. Lalín and W. Zudilin), Journal of the London Mathematical Society (2), 93 (2016), 341–360 [Journal] [arXiv]
4. The elliptic trilogarithm and Mahler measures of K3 surfaces, Forum Mathematicum 28 (2016), 405-423 [Journal] [arXiv]
3. Mahler measures as linear combinations of L-values of multiple modular forms, Canadian Journal of Mathematics 67 (2015), 424–449 [Journal] [arXiv]
2. The Mahler measure of a Calabi-Yau threefold and special L-values (with M. Papanikolas and M. Rogers), Mathematische Zeitschrift 276 (2014), 1151–1163 [Journal] [arXiv]
1. Three-variable Mahler measures and special values of modular and Dirichlet L-series,
Ramanujan Journal 32 (2013), no. 2, 245–268 [Journal] [arXiv]
[Slides]
- A gentle introduction to L-functions (Ola Bratteli seminar, April 20, 2020)