Personal information:

I am currently a postdoctoral researcher at the Morningside Center of Mathematics, Chinese Academy of Sciences, Beijing, China.

My research area is Algebraic Number Theory, more specifically Iwasawa Theory. I am interested in main conjectures of Iwasawa Theory in the context of number fields, elliptic curves, and graphs.

2026-Present Postdoctoral Researcher, Morningside Center of Mathematics, Chinese Academy of Sciences, Beijing, China

2023-2026 Visiting Assistant Professor, University of California, Santa Barbara, USA

2018-2023 Ph.D. in Mathematics, University of California San Diego, USA

Advisor: Cristian D. Popescu.

2014-2018 B.Sc. in Mathematics, University of Colombo, Sri Lanka

1. Rusiru Gambheera, Cristian D. Popescu, An unconditional equivariant main conjecture in Iwasawa theory and applications, Research in the Mathematical Sciences 12, article 95 (2025).

2. Rusiru Gambheera, Daniel Vallières, Iwasawa theory for branched Z_p-towers of finite graphs, Documenta Mathematica 29, no. 6 (2024), 1435-1468.

3. Ufuoma Asarhasa, Rusiru Gambheera, Debanjana Kundu, Enrique Nunez Lon-wo, Arshay Sheth, On the p-ranks of class groups of certain Galois extensions, arXiv:2408.04481.

4. Rusiru Gambheera, Cristian D. Popescu, Equivariant Iwasawa Theory for Ritter-Weiss Modules and Applications, arXiv:2503.23192.

5. Rusiru Gambheera, An Integral Equivariant Refinement of the Iwasawa Main Conjecture for Totally Real Fields, arXiv:2503.23320.

6. Rusiru Gambheera, Debanjana Kundu, Structure of (Fine) Mordell-Weil Groups, The Ramanujan Journal 70, article 48 (2026).

7. Rusiru Gambheera, Daniel Vallières, Iwasawa theory for branched Z_p-towers of finite graphs and Ihara zeta and L-functions, Mathematical Proceedings of the Cambridge Philosophical Society (2026), 1-53.

8. (In preparation) Rusiru Gambheera, Daniel Vallières, An Equivariant Main Conjecture for Branched Z_p-towers of Finite Graphs.