Research and Conferences
"Without mathematics, there’s nothing you can do. Everything around you is mathematics. Everything around you is numbers " - Shankuntala Devi
My research interests lie in the structure of valuations of special sequences, special functions, polynomials over finite fields and p-adic analysis. Currently, I'm working on p-adic valuations of integer sequences with Dr Victor Moll.
PAPERS :
Filter Integrals for orthogonal polynomials (Hardy-Ramanujan Journal 2021)
Tewodros Amdeberhan, Adriana Duncan, Victor H. Moll, and Vaishavi Sharma,Arithmetic properties of the sum of divisors (Journal of Number Theory 2021)
Tewodros Amdeberhan, Victor H. Moll, Vaishavi Sharma, Diego VillamizarFilter Integrals for orthogonal polynomials (Hardy-Ramanujan Journal 2021)
Tewodros Amdeberhan, Adriana Duncan, Victor H. Moll, and Vaishavi Sharma,Solving Quadratic and Cubic Diophantine Equations using 2-adic Valuation Trees (accepted - Rocky Mountain Journal of Mathematics)
Maila Brucal-Hallare, Eva G. Goedhart, Ryan Max Riley, Vaishavi Sharma, and Bianca Thompson.The integrals in Grashsteyn and Ryzhik. Part 31: Forms containing binomials (SCIENTIA Series A: Mathematical Sciences 2022)
Poly Mathews Jr., Victor H Moll, Vaishavi SharmaThe integrals in Grashsteyn and Ryzhik. Part 32 : Powers of trigonometric functions (SCIENTIA Series A: Mathematical Sciences 2022)
Poly Mathews Jr., Victor H Moll, Vaishavi Sharma
Research talks:
Invited speaker at Hunter College Mathematics Colloquium (November 2023)
Invited speaker at Saint Louis University's Mathematics & Statistics Colloquium (April 2023)
Short research talk at Upstate NY Number Theory Conference (April 2023)
Short research talk at Southern Regional Number Theory Conference, LSU, Baton Rouge (March 2022)
Invited speaker at AWM Pitt Grad Seminar, University of Pittsburgh, virtual (March 2022)
Short research talk at WCNT: Problems in Number theory, virtual (Dec 2021)
Invited speaker at virtual AMS Fall Southeastern Sectional Meeting (Nov 2021)
Graduate student mentor at Polymath Jr REU. (June-Aug 2021)
Short research talk at Southern Regional Number Theory Conference, LSU (March 2020)(Cancelled due to COVID)
Short research talk at Math For All, Tulane University, (March 2020)
Research talk at Math Graduate Student Colloquium, Tulane University, (Fall 2021, Spring 2020, Spring 2019, Spring 2018)
Conferences :
Clifford Lectures - The Web of Modularity (February 2024)
MAGNTS 2023
MAGNTS 2022
Joint Math Meetings, Virtual (April 2022)
IMBM Number Theory Seminar, Istanbul Center for Mathematical Sciences, Virtual (April 2021)
Joint Math Meeting, Virtual (Jan 2021)
Joint Math Meetings, Denver (Jan 2020)
p-adic Modular forms and Galois representations, University of Sheffield (July 2019)
Southern Regional Number Theory Conference, LSU (April 2019 )
AWM Research Symposium, Rice University (April 2019)