Home / Faculty / Aricheta, Victor Manuel

Aricheta, Victor Manuel

Assistant Professor
Email Addressvmaricheta@math.upd.edu.ph
RoomMath Building Annex 210
Websitevisit website (external)
Research Interests
Modular forms. Elliptic curves. Vertex operator algebras.
Academic Groups
  • Education
    • PhD Mathematics (2019)
      Emory University

      Dissertation: Monstrous moonshine, elliptic curves and vertex operator algebras
      Adviser: John Duncan

    • MS Mathematics (2013)
      University of the Philippines Diliman

      Thesis: Hecke operators on the zeros of modular forms
      Adviser: Richell Celeste and Fidel Nemenzo

    • BS Mathematics (2010)
      University of the Philippines Diliman

      Thesis: Elliptic curve cryptography over the Eisenstein integers
      Adviser: Fidel Nemenzo

  • Teaching

    Selected courses taught at UPD: Analytic Number Theory (Math 297), Algebraic Number Theory (Math 218), Elementary Number Theory (Math 117)

    Current graduate students: Hazel Joy Shi (MS Mathematics), Judy Ann Donato (PhD Mathematics)

    Current undergraduate students: Shawn Tuason, Kirk Bamba, Andrew Yao, Menard Ragual, Francis Tamio

    Former undergraduate students: Wylie Thomas Pe (2021), Alec Jan Cheng (2014)

  • Publications
    1. Moonshine module and a question of Griess (with L. Beneish)
      Journal of Algebra 536 (2019): 215-228
    2. Supersingular elliptic curves and moonshine
      SIGMA 15 (2019): 007
    3. Congruences for Andrews’ (k,i)-singular overpartitions
      Ramanujan Journal (2017) 43: 535
    4. Hecke operators and zeros of modular forms (with R. Celeste, F. Nemenzo)
      Bulletin of the Malaysian Mathematical Sciences Society (2016) 39:1249