John Bergdall
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Associate Professor
Also affiliated: Bryn Mawr College (2018–2022); Boston University (2016–2017); Max Planck Society (2019); Max Planck Institute for Mathematics (2019); Brandeis University (2013); Michigan State University (2018)
Research Areas
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Biography and Research Information
OverviewAI-generated summary
John Bergdall's research focuses on the arithmetic properties of modular forms and related objects in number theory. His work investigates concepts such as Fredholm series, the ghost conjecture, and companion points on the eigencurve, primarily within the context of p-adic analysis.
Bergdall has received federal funding from the National Science Foundation (NSF) for his work. One award, totaling $15,000, supported a conference on "Modular Forms, L-Functions, and Eigenvarieties." A second NSF grant, a collaborative research award of $162,717, is dedicated to investigating "Slopes of Modular Forms and Moduli Stacks of Galois Representations."
With a h-index of 5 and 101 citations across 21 publications, Bergdall's scholarship demonstrates consistent engagement with specialized areas of number theory. He maintains an active lab website and has been recently active in research.
Metrics
- h-index: 5
- Publications: 21
- Citations: 101
Positions
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Associate Professor 2022–presentUniversity of Arkansas Mathematical Sciences ORCID
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Assistant Professor publications 2022–2025University of Arkansas at Fayetteville ORCID
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Assistant Professor 2018–2022Bryn Mawr College Mathematics ORCID
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Visiting Assistant Professor 2017–2018Michigan State University Mathematics ORCID
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Postdoctoral Faculty Fellow 2013–2017Boston University Mathematics and Statitics ORCID
Selected Publications
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A p-adic adjoint L-function and the ramification locus of the Hilbert modular eigenvariety (2025)
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Huber rings and valuation spectra (2024)
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None (2022)
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Slopes of modular forms and reducible Galois representations, an oversight in the ghost conjecture (2022)
Federal Grants 2 $177,717 total
Collaborative Research: Slopes of Modular Forms and Moduli Stacks of Galois Representations
Collaboration Network
Top Collaborators
- Slopes of modular forms and reducible Galois representations, an oversight in the ghost conjecture
- None
- A p-adic adjoint L-function and the ramificationlocus of the Hilbert modular eigenvariety
- A p-adic adjoint L-function and the ramificationlocus of the Hilbert modular eigenvariety