Rizwanur Khan

Rizwanur Khan is an Assistant Professor in the Department of Mathematical Sciences at the University of Texas at Dallas (UT Dallas), affiliated with the School of Natural Sciences and Mathematics. His research focuses on analytic number theory, automorphic forms, and L-functions, with notable contributions to the study of moments of L-functions and elliptic curves.

Education:

• Ph.D. in Mathematics, University of Michigan, Ann Arbor (2007)
• B.A. in Mathematics, University of Cambridge (2002)

Research Interests:

Khan’s work bridges analytic number theory and automorphic forms, emphasizing L-functions’ properties, such as moments, subconvexity bounds, and their applications to elliptic curves and modular forms. His research explores reciprocity relations, truncation techniques, and spectral analysis in these contexts.

Publications Trends:

Recent publications address moment estimates of L-functions, elliptic curve ranks over cyclotomic fields, and hybrid subconvexity bounds. His work often involves collaboration with experts in automorphic forms and spectral theory, reflecting a focus on advancing computational and theoretical tools in number theory.

Awards:

• NSF CAREER Grant (2022–2027)
• NSF Standard Grant (2020–2024)
• Simons Collaboration Grant for Mathematicians (2019–2023)
• NSF CBMS Conference Grant (2018–2020)
• NSF Postdoctoral Fellowship (2007–2010)

Grants and Advising:

Khan has secured significant NSF and Simons Foundation funding to support research on L-functions and subconvexity. While no students are explicitly listed, his postdoctoral and faculty roles suggest mentorship in mathematical research. He has held positions at UCLA, University of Göttingen, Texas A&M at Qatar, and the University of Mississippi before joining UT Dallas in 2023.

Labs/Teams:

No specific labs or teams are mentioned, though his work likely intersects with number theory groups at UT Dallas and collaborating institutions.