John Bergdall Source Confirmed

Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.

Federal Grant PI

Assistant Professor

University of Arkansas at Fayetteville

faculty

5 h-index 21 pubs 87 cited

Research Areas

Number Theory and Algebraic Geometry Modular Forms and L-functions Galois Representations Abstract Algebra Research Conferences and Workshops

Links

ORCID Lab Website

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OverviewAI-generated summary

John Bergdall's research focuses on number theory, particularly p-adic L-functions and their connections to modular forms and Galois representations. He investigates the properties of these mathematical objects, exploring their structure and relationships within algebraic number theory.

Bergdall's work has been supported by grants from the National Science Foundation (NSF). These include funding for a conference on modular forms, L-functions, and eigenvarieties, and for collaborative research on the slopes of modular forms and moduli stacks of Galois representations. His publications address topics such as p-adic L-functions for Hilbert modular forms, reductions of semistable representations, and the relationship between slopes of modular forms and reducible Galois representations. He also studies foundational concepts in abstract algebra, including Huber rings and valuation spectra.

With an h-index of 5 and 87 citations across 21 publications, Bergdall maintains an active research presence. His recent work, including publications in 2024 and a forthcoming publication in 2025, indicates continued engagement with these mathematical areas.

Metrics

  • h-index: 5
  • Publications: 21
  • Citations: 87

Selected Publications

  • A p-adic adjoint L-function and the ramificationlocus of the Hilbert modular eigenvariety (2025) DOI
  • Huber rings and valuation spectra (2024) DOI
  • None (2022) DOI
  • Slopes of modular forms and reducible Galois representations, an oversight in the ghost conjecture (2022) DOI

Federal Grants 2 $177,717 total

NSF PI

Collaborative Research: Slopes of Modular Forms and Moduli Stacks of Galois Representations

ALGEBRA,NUMBER THEORY,AND COM $162,717
NSF PI

Conference: Modular forms, L-functions, and Eigenvarieties

ALGEBRA,NUMBER THEORY,AND COM $15,000