Research

Research Interests

My primary area of mathematical research revolves around algebraic number theory. My related areas of interest are: Ramanujan’s theta functions, modular functions, continued fractions, class field theory, etc.

Papers and Preprints

• Sushmanth J. Akkarapakam, P. Morton, Periodic points of algebraic functions related to a continued fraction of Ramanujan, New York J. Math (2022). (submitted)*

• Sushmanth J. Akkarapakam, P. Morton, On Ramanujan's cubic continued fraction, (2023). (in progress)*

Conferences and Talks

• Dec 2022: (Talk) Periodic points related to a continued fraction of Ramanujan, Palmetto Number Theory Series XXXV, University of South Carolina, Columbia, SC

• Nov 2022: Midwest Dynamical Systems Conference 2022, Indiana University, Indianapolis, IN

• Oct 2022: (Poster) Periodic points related to a continued fraction of Ramanujan, Midwest Arithmetic Geometry & Number Theory Series (MAGNTS), University of Illinois, Chicago, IL

• Oct 2022: Midwestern Workshop on Asymptotic Analysis (MWAA), Purdue University, Fort Wayne, IN

• Sep 2022: The possible symmetry groups of tilings, Pure Math Seminar, Indiana University, Indianapolis, IN

• Jan 2022: Geometric Group Theory: Generating groups, Pure Math Seminar, Indiana University, Indianapolis, IN

• Nov 2021: Spectral Graph Theory: Largest eigenvalues, Pure Math Seminar, Indiana University, Indianapolis, IN

• Apr 2021: Graphs, Laplacians and Kirchhoff's Laws, Pure Math Seminar, Indiana University, Indianapolis, IN

• Apr 2020: Persistence with discrete Morse functions, Pure Math Seminar, Indiana University, Indianapolis, IN

• Dec 2019: Diophantine and Recursive Functions, Pure Math Seminar, Indiana University, Indianapolis, IN

• Mar 2019: Modelling a Probabilistic experiment, Pure Math Seminar, Indiana University, Indianapolis, IN

• Sep 2017: Zero-sum games on graphs, Pure Math Seminar, Indiana University, Indianapolis, IN