Guadalupe, Russelle
Analytic number theory (modular forms)
- Coding and Number Theory (member)
- Groups, Geometry, and Representations (affiliate)
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Education
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Doctor of Philosophy in Mathematics (2024)
University of the Philippines DilimanDissertation: Modularity and arithmetic of certain \(q\)-continued fractions
Adviser: Dr. Victor Manuel R. Aricheta -
Master of Science in Mathematics (2019)
University of the Philippines DilimanThesis: Class invariants from generalized Weber functions of level \(144\)
Adviser: Dr. Richell O. Celeste -
Bachelor of Science in Mathematics (2016)
University of the Philippines DilimanThesis: \(p\)-adic construction of ordinary elliptic curves of a given order
Adviser: Dr. Richell O. Celeste
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Doctor of Philosophy in Mathematics (2024)
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Research
I study analytic number theory, particularly on the algebraic and analytic properties of modular forms and its applications.
For correspondence, you may reach me at Google Scholar, ResearchGate and ORCID, or contact me through my email above.
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Teaching
First Semester, Academic Year 2024-2025
- Math 21 TWHFQ6 (as faculty-in-charge): TTh 07:15-08:15, MB 307
- Math 21 TWHFR7 (as faculty-in-charge): TTh 08:45-09:45, MB 307
- Math 21 TWHFW7: TTh 13:15-14:15, MB 307
- Math 200 (with Dr. Victor Manuel Aricheta)
- Math 217 THX: TTh 14:30-16:00, MB 116
Consultation Hours: TTh 16:00-18:00, W 12:00-18:00
Past Academic Years/Midyear Terms
- Midyear 2024: Math 23
- AY 2023-2024: Math 22, Math 117 (Second Sem, with Dr. Fidel Nemenzo)
- AY 2022-2023: Math 22
- AY 2021-2022: Math 22 (Second Sem), Math 23 (First Sem)
- Midyear 2021: Math 23
- AY 2020-2021: Math 22
- AY 2019-2020: Math 21 (Second Sem), Math 22, Math 23 (First Sem)
- AY 2018-2019: Math 21 (First Sem), Math 22 (Second Sem)
- Midyear 2018: Math 14
- AY 2017-2018: Math 17 (First Sem), Math 53 (Second Sem), Math 54 (First Sem)
- Midyear 2017: Math 53
- AY 2016-2017: Math 14 (First Sem), Math 17, Math 53 (Second Sem)
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Publications
Refereed
- Guadalupe, R, Aricheta, VM, Analogue of Ramanujan’s function \(k(\tau)\) for the continued fraction \(X(\tau)\) of order six, Ann. Univ. Ferrara Sez. VII Sci. Mat. 71 (2025), 6.
- Guadalupe, R, A note on the exact formulas for certain \(2\)-color partitions, C. R. Math. Acad. Sci. Paris 362 (2024), 1485-1490.
- Guadalupe, R, Modularity of a certain continued fraction of Ramanujan, Ramanujan J. 63 (2024), 947-967.
- Guadalupe, R, Celeste, R, Modularity of generalized Weber functions \(v_{l,k,N/l}\), Matimyas Mat. 45 (2022), 1-12.
Preprints
- Ramanujan’s continued fractions of order \(10\) as modular functions (with VM Aricheta)
- Modularity of certain products of the Rogers-Ramanujan continued fraction
- A note on congruences for generalized cubic partitions modulo primes
- A remark on modular equations involving Rogers-Ramanujan continued fraction via 5-dissections
For past preprints (before 2024), please visit my Google Scholar profile.