John Bergdall Data-verified
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Assistant Professor
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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: 22
- Citations: 95
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 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
- Slopes of modular forms and reducible Galois representations: an oversight in the ghost conjecture
- None
- REDUCTIONS OF -DIMENSIONAL SEMISTABLE REPRESENTATIONS WITH LARGE -INVARIANT
- REDUCTIONS OF -DIMENSIONAL SEMISTABLE REPRESENTATIONS WITH LARGE -INVARIANT
- On 𝑝-adic 𝐿-functions for Hilbert modular forms
- 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