I study analytic number theory, particularly on the arithmetic and analytic properties of modular forms and its applications. I also study number theory according to Ramanujan, including but not limited to elementary \(q\)-series techniques and dissection formulas.

For correspondence, you may reach me at Google Scholar, ResearchGate, and ORCID, or contact me through my email above.

Mentoring Activities

Current graduate (co-)advisees

1. Krizal John Espacio (PhD Math)

Current undergraduate (co-)advisees

1. Kathlene Borja
2. Honey Reign de Guzman
3. Rhouge Gundran

Past undergraduate (co-)advisees

1. Art James Symon Siat (Second Semester AY 2024-25)
   Construction of linear magic squares sudoku
2. Charles Justin Shi (First Semester AY 2024-25, Adviser: VM Aricheta, PhD)
   Congruences for modular functions \(j_n\) in relation to divisor and Ramanujan tau functions

First Semester AY 2025-2026

• Math 22 THUWU3: TTh 10:00-11:30, W 10:00-11:00, MB 105
• Math 22 THVWV3: TTh 11:30-13:00, W 12:00-13:00, MB 105
• Math 218 THX: TTh 14:30-16:00, MB 106

Consultation Hours: TTh 16:00-18:30, W 12:00-18:00, MB 218

Courses Previously Taught

• Math 14, 17, 21, 22, 23, 53, 54
• Math 117, 197, 200 
• Math 217

Refereed Papers

1. A new proof of an identity concerning \(5\)-core partitions, New Zealand J. Math., to appear.
2. A remark on generalised cubic partitions modulo \(5\), Bull. Aust. Math. Soc. (2026)
3. Ramanujan’s continued fractions of order \(10\) as modular functions (with VM Aricheta), J. Number Theory 278 (2026), 214-244.
4. Congruences modulo \(49\) for partitions with \(3\)-colored odd parts, Ramanujan J. 68 (2025), paper no. 104, 10 pp.
5. A note on congruences for the difference between even cranks and odd cranks, Bol. Soc. Mat. Mex. (3) 31 (2025), paper no. 127, 11 pp.
6. Asymptotic formulas for some \(3\)-color partitions, J. Anal. 33 (2025), 2155-2166.
7. Modularity of certain products of the Rogers-Ramanujan continued fraction, Ramanujan J. 68 (2025), paper no. 56, 24 pp.
8. A conjecture of Pore and Fathima on congruences modulo \(20\) for Andrews’ partition function, Bol. Soc. Mat. Mex. (3) 31 (2025), paper no. 45, 6 pp.
9. Modularity of certain products of the cubic continued fraction, J. Korean Math. Soc. 62 (2025), 537-556.
10. Analogue of Ramanujan’s function \(k(\tau)\) for the continued fraction \(X(\tau)\) of order six (with VM Aricheta), Ann. Univ. Ferrara Sez. VII Sci. Mat. 71 (2025), paper no. 6, 18 pp.
11. A note on congruences for generalized cubic partitions modulo primes, Integers 25 (2025), paper no. A20, 5 pp.
12. A note on the exact formulas for certain \(2\)-color partitions, C. R. Math. Acad. Sci. Paris 362 (2024), 1485-1490.
13. Modularity of a certain continued fraction of Ramanujan, Ramanujan J. 63 (2024), 947-967.
14. Modularity of generalized Weber functions \(v_{l,k,N/l}\) (with R Celeste), Matimyas Mat. 45 (2022), 1-12. 

Preprints

1. Congruences for an analogue of Lin’s partition function
2. Congruences modulo \(7\) and \(11\) for generalized cubic partitions
3. The \(k\)-elongated plane partition function modulo small powers of \(5\)
4. Remarks on a certain restricted partition function of Lin
5. New Gosper’s Lambert series identities of levels \(12\) and \(16\)
6. Gosper’s Lambert series identities of level \(14\)
7. A remark on modular equations involving Rogers-Ramanujan continued fraction via 5-dissections

For preprints before 2024, please visit this arXiv link.