Guadalupe, Russelle
Number Theory (modular forms)
- Coding and Number Theory (member)
- Groups, Geometry, and Representations (affiliate)
-
Education
-
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
-
Doctor of Philosophy in Mathematics (2024)
-
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.
-
Teaching
Second Semester, Academic Year 2023-2024
- Math 22 TWHFW4: TWThF 13:15-14:15, MB 305
- Math 22 TWHFX4: TWThF 14:45-15:45, MB 305
- Math 117 WFY: WF 16:00-17:30, MB 107 (with Dr. Fidel Nemenzo)
First Semester, Academic Year 2023-2024
- Math 22 TWHFW1: TWThF 13:15-14:15, MB 319
- Math 22 TWHFX1: TWThF 14:45-15:45, MB 319
Past Academic Years/Midyear Terms
- 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)
- AY 2016-2017: Math 14 (First Sem), Math 17, Math 53 (Second Sem)
-
Publications
Peer-Reviewed Publications
- Modularity of a certain continued fraction of Ramanujan, Ramanujan J. 63 (2024), 947-967.
- Modularity of generalized Weber functions v_{l,k,N/l} (with R. Celeste), Matimyas Mat. 45 (2022), 1-12.
Preprints
- Ramanujan’s continued fractions of order 10 as modular functions (with V. M. Aricheta)
- A note on the exact formulas for certain 2-color partitions
For past preprints (before 2024), please visit my Google Scholar profile.
In preparation
- Modularity of certain products of the Rogers-Ramanujan continued fraction
- Certain products of the Vasuki-Bhaskar-Sharath continued fraction as modular functions
- Arithmetic of certain products of the Ramanujan-Selberg continued fraction
Dissertation Thesis: Modularity and arithmetic of certain q-continued fractions