Stefan Patrikis
Mathematics · The Ohio State University
Publications
37
Citations
201
Est. group size
—
Recurring co-author estimate
Active years
17
Publishing since 2009
Stefan Patrikis works in number theory and arithmetic geometry, focusing on Galois representations, automorphic forms, and Shimura varieties (geometric objects that encode deep connections between number theory and geometry). A recurring theme is understanding how abstract Galois representations (algebraic structures capturing symmetries of number systems) can be 'lifted' to richer representations and connected to automorphic objects, as well as studying compatibility of local systems arising from Shimura varieties across different mathematical frameworks (l-adic and F-isocrystal settings).
Publication output rose to a peak around 2019-2021, then declined with a gap in 2024, followed by a resurgence of activity in 2025.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Compatibility of canonical $\ell $-adic local systems on adjoint Shimura varieties
Inventiones mathematicae · 2025
- Compatibility of $F$-isocrystals on adjoint Shimura varieties
arXiv (Cornell University) · 2025
- Compatibility of canonical $\ell$-adic local systems on Shimura varieties, II
arXiv (Cornell University) · 2025
- Compatibility of canonical $\ell$-adic local systems on Shimura varieties
arXiv (Cornell University) · 2023
- Trianguline lifts of global mod $p$ Galois representations
arXiv (Cornell University) · 2022
- Trianguline lifts of global mod p Galoisrepresentations
Pacific Journal of Mathematics · 2022
- Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations
Duke Mathematical Journal · 2021
- 𝐺-cohomologically rigid local systems are integral
Transactions of the American Mathematical Society · 2021
- Potential automorphy of $${\text {GSpin}}_{2n+1}$$-valued Galois representations
Mathematische Zeitschrift · 2021
- Lifting and automorphy of reducible mod p Galois representations over global fields
Inventiones mathematicae · 2021
- Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations
Mathematical Research Letters · 2020
- Lifting and modularity of reducible mod p Galois representations
arXiv (Cornell University) · 2020
- G-rigid local systems are integral
arXiv (Cornell University) · 2020
- Lifting and automorphy of reducible mod p Galois representations over\n global fields
arXiv (Cornell University) · 2020
- Variations on a Theorem of Tate
Memoirs of the American Mathematical Society · 2019
- arXiv (Cornell University)×13
- Algebra & Number Theory×3
- Inventiones mathematicae×2
- Memoirs of the American Mathematical Society×1
- Duke Mathematical Journal×1
- Tong Liu
Mathematics · Purdue University West Lafayette
- Stefano Morra
Mathematics · Purdue University West Lafayette
- Matthias Strauch
Mathematics · Indiana University
- Baiying Liu
Mathematics · Purdue University West Lafayette
- Yuval Z. Flicker
Mathematics · The Ohio State University
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 19, 2026.
Claim or correct this profile