Dr. Arun Sharma

Instructor

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Biography

Arun Sharma is an accomplished researcher and educator in the field of mathematics, specializing in areas such as Combinatorics, Ramsey theory, and error-correcting codes. He was appointed as an instructor in the Department of Mathematics at the University of California, Berkeley in 2019. His academic background is rooted in robust theoretical frameworks which he navigates with clarity and precision, benefitting both his research initiatives and teaching engagements. Additionally, Arun has significantly contributed to supervisory roles, particularly in guiding dissertations, with a notable focus on the study of 3-free permutations. Born from a blend of rigorous academic training and a passion for mathematics, Arun's work aims to deepen the understanding of complex mathematical structures and their theoretical implications. Beyond his teaching responsibilities, he remains committed to fostering an environment of inquiry and discovery within the mathematical community.

Research Interests

Requirements for University of California, Berkeley

Doctorate Program
Requirements
GPA Requirement
Required:3
GRE Subject
Overall Score
Required:500
Overall
Required:500
TOEFL
Total
Required:90
IELTS
Overall
Required:7
Prerequisites
Bachelor's degree or recognized equivalent Preparation comparable to undergraduate major at Berkeley in Mathematics or Applied Mathematics 2 full years lower-division work (Calculus, Linear Algebra, Differential Equations, Multivariable Calculus) 8 one-semester upper-division courses (Real Analysis, Complex Analysis, Abstract Algebra, Linear Algebra)
Application Checklist
  • Graduate Application
  • Statement of Purpose
  • Personal History Statement
  • Three Letters of Recommendation
  • Unofficial Transcripts
  • C.V./Resume
  • Course and Textbook List
Specialization Notes

The Mathematics Subject GRE is required for the Fall 2026 admissions cycle. General GRE is optional.