John Bergdall
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Assistant 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)
Faculty Researcher
Research Areas
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Biography and Research Information
OverviewAI-generated summary
John Bergdall's research focuses on number theory, specifically 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 behavior in different contexts.
Bergdall's work has been supported by the National Science Foundation (NSF), with grants totaling $177,717. One NSF award of $15,000 funded a conference on modular forms, L-functions, and eigenvarieties. A larger collaborative research grant of $162,717 supports his work on the slopes of modular forms and moduli stacks of Galois representations.
His recent publications delve into areas 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 explores foundational topics in abstract algebra, including Huber rings and valuation spectra. Bergdall's scholarship metrics include an h-index of 5 and 90 total citations across 22 publications.
Metrics
- h-index: 5
- Publications: 21
- Citations: 101
Selected Publications
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A p-adic adjoint L-function and the ramificationlocus 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 1 $15,000 total
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