James W. Cogdell

James W. Cogdell is a Professor of Mathematics at the Department of Mathematics, Ohio State University. His research focuses on Number Theory, Analytic Number Theory, L-functions, Converse Theorems, and related areas. He holds a PhD from Yale University (1981). His work emphasizes the Langlands Program, functoriality, and automorphic forms. He has collaborated extensively with figures like I.I. Piatetski-Shapiro and F. Shahidi.

Research Interests: Cogdell's primary areas include the analytic theory of L-functions for GL(n), converse theorems, and their applications to number theory. He explores topics like exterior and symmetric square L-functions, gamma factors, and the stability of root numbers. His work bridges representation theory and algebraic number theory through the Langlands conjectures.

Publications Trends: Recent works focus on Kronecker limit formulas, Weil reciprocity, Mahler measures, and p-adic groups. Earlier contributions addressed functoriality for classical groups, exterior-square L-functions, and the Langlands correspondence. Over 30 papers span foundational theory to applications in complex analysis and algebraic geometry.

Collaborations & Mentions: Co-authored major results with Piatetski-Shapiro and Shahidi, including functoriality for classical groups and stability of gamma factors. His 2004 work on functoriality is particularly influential. Active in lecture series (Fields Institute, Park City) and conference proceedings.

Teaching: Taught advanced courses like Math 6112 (Spring 2020), focusing on category theory foundations and profinite groups. Syllabi and assignments emphasize abstract algebra and number theory fundamentals.