Research | Apoorva Panidapu

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01

PUBLISHED IN Journal of Number Theory

Small Gaps Between Almost Primes, the Parity Problem, and Some Conjectures of Erdós on Consecutive Integers II

with Daniel A. Goldston, Sidney W. Graham, Janos Pintz, Jordan Schettler, and Cem Y. Yildrim, Journal of Number Theory, 2020.

02

PUBLISHED IN Journal of Number Theory

A Bombieri-Vinogradov Theorem for Primes in Short Intervals and Small Sectors

with Tanmay Khale, Cooper O'Kuhn, Alec Sun, and Shengtong Zhang, 2021.

03

PUBLISHED IN ACTA ARITHMETICA

Small Gaps Between Three Almost Primes and Almost Prime Powers

with Daniel A. Goldston and Jordan Schettler, 2022.

04

PUBLISHED IN InvolvE

Short-Interval Sector Problems for CM Elliptic Curves

with Jesse Thorner, Involve, a Journal of Mathematics, 2023.

05

PUBLISHED IN Journal de Théorie des Nombres de Bordeaux (JTNB)

Tamagawa Products for Elliptic Curves over Number Fields

with Yunseo Choi, Sean Li, and Casia Siegel, Number Theory, 2024.

06

PUBLISHED IN Mathematics of computation

Explicit Calculations for Sono's Multidimensional Sieve of E2-Numbers

with Daniel A. Goldston and Jordan Schettler, 2024.

07

Numerical linear algebra

Sparse Symmetrizers of Diagonalizable Real-Lambda Matrices

Completed at the 2022 Research Science Institute (2022) under the direction of graduate student Mo Chen and Prof. Steven Johnson at MIT.

08

Abstract algebra

The Impossibility of Doubling a Cube and Trisecting an Angle With Only a Compass and a Straightedge

Writing in the Major paper completed in MATH 120: Groups and Rings under the direction of Professor Ravi Vakil at Stanford University.

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