Dr. Murilo Zanarella J Sylvester

Assistant Professor

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Biography

Murilo Corato Zanarella J. Sylvester is an Assistant Professor at Johns Hopkins University, specializing in number theory with a focus on the arithmetic aspects of the Langlands program. His research investigates the role of Shimura varieties and their applications in the Beilinson–Bloch–Kato conjectures and Iwasawa theory, particularly exploring explicit reciprocity laws in unitary Friedberg-Jacquet periods. He has been involved in various research projects addressing conjectures related to motives associated with irreducible cuspidal automorphic representations and their implications in p-adic representations. Murilo has also engaged in the study of spherical functions in symmetric spaces and their applications to Hecke modules. In addition to his research, he has a strong commitment to teaching and mentorship, conducting courses in number theory and various advanced mathematics subjects. He serves as a graduate teaching assistant at MIT and has organized seminars that enhance learning in Euler systems and Iwasawa theory. Throughout his career, Murilo has contributed significantly to the mathematics community through lectures and collaborative projects, reinforcing the connection between theory and practical applications in mathematics.

Research Interests

Experience

Assistant Professor

2023-08-01 — Present

Johns Hopkins University • Baltimore, MD

Teaching number theory and advanced mathematics courses, mentoring students.

Graduate Teaching Assistant

2021-09-01 — 2023-05-01

Massachusetts Institute of Technology • Cambridge, MA

Assisted in teaching various mathematics courses including algebra and multivariable calculus.

Courses

Number Theory Algebra Differential Geometry Multivariable Calculus Matrix Methods Linear Algebra Real Analysis

Requirements for Johns Hopkins University

Doctorate Program
Requirements
GPA Requirement
Required:3
TOEFL
Total
Required:100
IELTS
Overall
Required:7
Prerequisites
Bachelor's degree Inorganic Chemistry with Lab Organic Chemistry with Lab General Biology with Lab
Application Checklist
  • Online application
  • Official transcripts
  • CV
  • Personal statement
  • Three letters of recommendation
Specialization Notes

Department of Pathology - PhD in Pathobiology. GRE is not required.