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.

• Sushmanth J. Akkarapakam, P. Morton, Periodic points of algebraic functions related to a continued fraction of Ramanujan, New York J. Math, Volume 30 (2024), 783-827. (45 pages).
  https://nyjm.albany.edu/j/2024/30-36.html

• Sushmanth J. Akkarapakam, P. Morton, On Ramanujan's cubic continued fraction, Ramanujan J., Volume 65, Issue 4 (2024), 1709-1756. (48 pages).
  https://link.springer.com/article/10.1007/s11139-024-00957-9

• Sushmanth J. Akkarapakam, On some modular equations involving Ramanujan's theta functions, Ramanujan J. (2025). (12 pages) (Submitted)*.

• Sushmanth J. Akkarapakam, P. Morton, On some conjectures of algebraic functions and class number formulas, part II. (In progress)*.

• Mar 2025: Midwest Arithmetic Geometry & Number Theory Series, The Ohio State University, Columbus, OH.

• June 2024: (Poster) Periodic points and continued fractions: A comparison, The Legacy of Ramanujan 2024, Pennsylvania State University, State College, PA.

• May 2024: (Talk) Periodic points and continued fractions: A comparison, SCHOLAR II conference, The Fields Institute, Toronto, CA.

• Mar 2024: (Hybrid) Southern Regional Number Theory Conference 2024, Louisiana State University, Baton Rogue, LA.

• Dec 2023: Palmetto Number Theory Series XXXVII, University of Georgia, Athens, GA.

• Oct 2023: (Talk) On the periodic points of Ramanujan's cubic continued fraction, Palmetto Number Theory Series XXXVI, Clemson University, Clemson, SC.

• Oct 2023: (Poster) On Ramaujan's cubic continued fraction, Midwest Arithmetic Geometry & Number Theory Series, University of Michigan, Ann Arbour, MI.

• Dec 2022: (Talk) Periodic points related to a continued fraction of Ramanujan, Palmetto Number Theory Series (PANTS) 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.