On the modularity of 2-adic potentially semi-stable deformation rings | Paper Citation Record

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Reference 1

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On the modularity of 2-adic potentially semi-stable deformation rings Unresolved cited work

Reference 2

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Observation d3279d56-657c-4644-a930-f6e9a140b003 · outbound

This paper cites Irreduzible Komponenten von 2-adischen Deformationsr\"aumen.

On the modularity of 2-adic potentially semi-stable deformation rings Irreduzible Komponenten von 2-adischen Deformationsr\"aumen

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:58:33.825759Z

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Observation f8a63a32-6f6e-4491-baf0-afb59d3285e0 · outbound

This paper cites Sur quelques repr\'esentations potentiellement cristallines de GL _2( Q_p).

On the modularity of 2-adic potentially semi-stable deformation rings Sur quelques repr\'esentations potentiellement cristallines de GL _2( Q_p)

Reference 4

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This paper cites Repr\' e sentations p -adiques ordinaires de GL _2( Q_p) et compatibilit\' e local-global.

On the modularity of 2-adic potentially semi-stable deformation rings Repr\' e sentations p -adiques ordinaires de GL _2( Q_p) et compatibilit\' e local-global

Reference 5

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Observation f585cbdd-8fa3-433f-adfd-b6ef7c2c026a · outbound

This paper cites Bushnell and Guy Henniart.

On the modularity of 2-adic potentially semi-stable deformation rings Bushnell and Guy Henniart

Reference 6

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Observation 441193d3-dfec-482d-9433-ab7c1da5b862 · outbound

This paper cites Ordinary representations of G( Q _p) and fundamental algebraic representations.

On the modularity of 2-adic potentially semi-stable deformation rings Ordinary representations of G( Q _p) and fundamental algebraic representations

Reference 7

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Observation 7eef0ab0-19c3-4995-983e-376ebf32c096 · outbound

This paper cites Une interpr\' e tation modulaire de la vari\' e t\' e trianguline.

On the modularity of 2-adic potentially semi-stable deformation rings Une interpr\' e tation modulaire de la vari\' e t\' e trianguline

Reference 8

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Observation 1c13fedf-6089-4d46-ac5a-03a1115e6991 · outbound

This paper cites Irreducibility of versal deformation rings in the (p,p) -case for 2-dimensional representations.

On the modularity of 2-adic potentially semi-stable deformation rings Irreducibility of versal deformation rings in the (p,p) -case for 2-dimensional representations

Reference 9

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Observation 3dd1afd0-0b6e-4312-bab3-6622c3bcecb5 · outbound

This paper cites Barthel and R.

On the modularity of 2-adic potentially semi-stable deformation rings Barthel and R

Reference 10

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Observation 56b0c1b2-fdf3-4789-aa26-3b0638ba1aa6 · outbound

This paper cites Potential automorphy and change of weight.

On the modularity of 2-adic potentially semi-stable deformation rings Potential automorphy and change of weight

Reference 11

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Observation 57ca7c1a-702e-4749-b1e7-dad7723fd4ca · outbound

This paper cites A family of C alabi- Y au varieties and potential automorphy II.

On the modularity of 2-adic potentially semi-stable deformation rings A family of C alabi- Y au varieties and potential automorphy II

Reference 12

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Observation b0d599db-0fcd-47e5-b058-4de53d7b7bc9 · outbound

This paper cites Lenstra, Jr., and Kenneth A.

On the modularity of 2-adic potentially semi-stable deformation rings Lenstra, Jr., and Kenneth A

Reference 13

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This paper cites Multiplicit\'es modulaires et repr\'esentations de GL _2( Z _p) et de Gal ( Q _p/ Q _p) en l=p.

On the modularity of 2-adic potentially semi-stable deformation rings Multiplicit\'es modulaires et repr\'esentations de GL _2( Z _p) et de Gal ( Q _p/ Q _p) en l=p

Reference 14

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Observation f2e86207-849b-4a6f-9a51-51e1b7c031e5 · outbound

This paper cites Towards a modulo p L anglands correspondence for GL _2.

On the modularity of 2-adic potentially semi-stable deformation rings Towards a modulo p L anglands correspondence for GL _2

Reference 15

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Observation 7bea1f25-8b4b-4aa3-81ab-71ac88cbf429 · outbound

This paper cites Sur quelques repr\'esentations modulaires et p -adiques de GL _2( Q_p).

On the modularity of 2-adic potentially semi-stable deformation rings Sur quelques repr\'esentations modulaires et p -adiques de GL _2( Q_p)

Reference 16

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Observation ad08712b-f6de-4c05-9018-7a0272a0abdd · outbound

This paper cites Even G alois representations and the F ontaine-- M azur conjecture.

On the modularity of 2-adic potentially semi-stable deformation rings Even G alois representations and the F ontaine-- M azur conjecture

Reference 17

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Observation 5c34e82c-4eac-498b-8bd8-981a08d25dee · outbound

This paper cites Sur les repr\'esentations l -adiques associ\'ees aux formes modulaires de H ilbert.

On the modularity of 2-adic potentially semi-stable deformation rings Sur les repr\'esentations l -adiques associ\'ees aux formes modulaires de H ilbert

Reference 18

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Observation c778ca12-5a8b-4e8e-9a70-810f33f90713 · outbound

This paper cites Compl\' e t\' e s universels de repr\' e sentations de GL _2( Q _p).

On the modularity of 2-adic potentially semi-stable deformation rings Compl\' e t\' e s universels de repr\' e sentations de GL _2( Q _p)

Reference 19

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Observation 645d56e2-a479-4c06-a391-1dbd096573ef · outbound

This paper cites Irreducible components of deformation spaces: wild 2-adic exercises.

On the modularity of 2-adic potentially semi-stable deformation rings Irreducible components of deformation spaces: wild 2-adic exercises

Reference 20

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Observation d02c1771-273f-4240-828c-17657d58557a · outbound

This paper cites Patching and the p -adic local L anglands correspondence.

On the modularity of 2-adic potentially semi-stable deformation rings Patching and the p -adic local L anglands correspondence

Reference 21

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Observation 289c2cfa-6d6d-4381-b5d7-5d50bf6c44cd · outbound

This paper cites Patching and the p -adic L anglands program for GL _2( Q_p).

On the modularity of 2-adic potentially semi-stable deformation rings Patching and the p -adic L anglands program for GL _2( Q_p)

Reference 22

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Observation ca48f064-95ce-40f0-8911-6f7c2c20cfbf · outbound

This paper cites Sur la vari\' e t\' e des caract\' e res p-adique du groupe de G alois absolu de Q _p.

On the modularity of 2-adic potentially semi-stable deformation rings Sur la vari\' e t\' e des caract\' e res p-adique du groupe de G alois absolu de Q _p

Reference 23

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Observation 49f104b8-32f4-451c-9696-4fbeeb10cb68 · outbound

This paper cites Repr\'esentations de GL _2( Q_p) et ( , ) -modules.

On the modularity of 2-adic potentially semi-stable deformation rings Repr\'esentations de GL _2( Q_p) et ( , ) -modules

Reference 24

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Observation 1bf5bb38-1868-49a8-9b22-ebcd590cdfce · outbound

This paper cites Fermat's last theorem.

On the modularity of 2-adic potentially semi-stable deformation rings Fermat's last theorem

Reference 25

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Observation eef5ca48-181b-4642-a6d8-eb1c93a0e267 · outbound

This paper cites L -invariants and local-global compatibility for the group GL _2/F.

On the modularity of 2-adic potentially semi-stable deformation rings L -invariants and local-global compatibility for the group GL _2/F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:35.039723Z

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Observation de2c560b-a3c2-4f73-93b0-ded22e5f1def · outbound

This paper cites A geometric perspective on the B reuil- M \'ezard conjecture.

On the modularity of 2-adic potentially semi-stable deformation rings A geometric perspective on the B reuil- M \'ezard conjecture

Reference 27

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Observation 3f18b340-c982-44f1-808b-3536469b4cb4 · outbound

This paper cites Jacquet modules of locally analytic representations of p -adic reductive groups.

On the modularity of 2-adic potentially semi-stable deformation rings Jacquet modules of locally analytic representations of p -adic reductive groups

Reference 28

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This paper cites A local-global compatibility conjecture in the p -adic L anglands programme for GL _ 2/ Q.

On the modularity of 2-adic potentially semi-stable deformation rings A local-global compatibility conjecture in the p -adic L anglands programme for GL _ 2/ Q

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.989027Z

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Observation 1c16c07e-e931-42c5-a6d5-3b7d4f1a45a0 · outbound

This paper cites Ordinary parts of admissible representations of p -adic reductive groups I.

On the modularity of 2-adic potentially semi-stable deformation rings Ordinary parts of admissible representations of p -adic reductive groups I

Reference 30

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Observation 64a62d66-ca98-42d4-a860-bc0d886919c5 · outbound

This paper cites Ordinary parts of admissible representations of p -adic reductive groups II.

On the modularity of 2-adic potentially semi-stable deformation rings Ordinary parts of admissible representations of p -adic reductive groups II

Reference 31

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This paper cites Local-global compatibility conjecture in the p -adic L anglands programme for GL _ 2/ Q.

On the modularity of 2-adic potentially semi-stable deformation rings Local-global compatibility conjecture in the p -adic L anglands programme for GL _ 2/ Q

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.952528Z

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This paper cites On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras.

On the modularity of 2-adic potentially semi-stable deformation rings On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:58:33.805393Z

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Observation e5ac4671-ea59-437c-b3f0-0c66a8d64dd9 · outbound

This paper cites Geometric G alois representations.

On the modularity of 2-adic potentially semi-stable deformation rings Geometric G alois representations

Reference 34

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Observation 74048498-9d56-4007-b04c-3afe67fcb7a4 · outbound

This paper cites Repr\' e sentations l -adiques potentiellement semi-stables.

On the modularity of 2-adic potentially semi-stable deformation rings Repr\' e sentations l -adiques potentiellement semi-stables

Reference 35

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Observation 3822b0d2-a71f-4553-a5f1-4acf8b16dfa5 · outbound

This paper cites Modularity lifting theorems for ordinary G alois representations.

On the modularity of 2-adic potentially semi-stable deformation rings Modularity lifting theorems for ordinary G alois representations

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.910008Z

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Observation 0578839a-befb-4f6f-bff9-348bbd36e372 · outbound

This paper cites The B reuil- M \'ezard conjecture for potentially B arsotti- T ate representations.

On the modularity of 2-adic potentially semi-stable deformation rings The B reuil- M \'ezard conjecture for potentially B arsotti- T ate representations

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.799296Z

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Observation de1b6804-4df3-402e-9662-321e0d009641 · outbound

This paper cites Patching and the completed homology of locally symmetric spaces.

On the modularity of 2-adic potentially semi-stable deformation rings Patching and the completed homology of locally symmetric spaces

Reference 38

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Observation ad160221-98e8-4d94-8b80-9ed1f6dc413b · outbound

This paper cites Gouv\^ea.

On the modularity of 2-adic potentially semi-stable deformation rings Gouv\^ea

Reference 39

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Observation 65591ce1-a559-4ba5-814e-0c6304269b6d · outbound

This paper cites Nearly ordinary H ecke algebras and G alois representations of several variables.

On the modularity of 2-adic potentially semi-stable deformation rings Nearly ordinary H ecke algebras and G alois representations of several variables

Reference 40

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Observation 311fae04-381c-4149-875e-2d3f85a9fff0 · outbound

This paper cites On nearly ordinary H ecke algebras for GL (2) over totally real fields.

On the modularity of 2-adic potentially semi-stable deformation rings On nearly ordinary H ecke algebras for GL (2) over totally real fields

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.484028Z

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Observation b0a78838-2bf1-4151-bbc7-e7e5946ef92f · outbound

This paper cites On crystabelline deformation rings of Gal( Q _p/ Q _p) (with an appendix by Jack Shotton).

On the modularity of 2-adic potentially semi-stable deformation rings On crystabelline deformation rings of Gal( Q _p/ Q _p) (with an appendix by Jack Shotton)

Reference 42

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Observation a35f7cba-298b-4227-831b-b9b0bd79ad69 · outbound

This paper cites The geometry and cohomology of some simple S himura varieties , volume 151 of Annals of Mathematics Studies.

On the modularity of 2-adic potentially semi-stable deformation rings The geometry and cohomology of some simple S himura varieties , volume 151 of Annals of Mathematics Studies

Reference 43

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Observation f2904f08-03f5-4745-8bae-a868db81eb51 · outbound

This paper cites The B reuil- M \'ezard conjecture for non-scalar split residual representations.

On the modularity of 2-adic potentially semi-stable deformation rings The B reuil- M \'ezard conjecture for non-scalar split residual representations

Reference 44

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Observation e01016ef-bf75-4c0e-ab09-0a735514686a · outbound

This paper cites Potentially semi-stable deformation rings.

On the modularity of 2-adic potentially semi-stable deformation rings Potentially semi-stable deformation rings

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.435941Z

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Observation 71b063f4-4050-4cd3-a618-8c497aa5b1ae · outbound

This paper cites The F ontaine- M azur conjecture for GL _2.

On the modularity of 2-adic potentially semi-stable deformation rings The F ontaine- M azur conjecture for GL _2

Reference 46

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Observation 0a410931-768d-4479-bb85-b16815214f48 · outbound

This paper cites Modularity of 2-adic B arsotti- T ate representations.

On the modularity of 2-adic potentially semi-stable deformation rings Modularity of 2-adic B arsotti- T ate representations

Reference 47

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Observation 34cef6e9-63a5-4a18-9ece-ec49cae1242b · outbound

This paper cites Moduli of finite flat group schemes, and modularity.

On the modularity of 2-adic potentially semi-stable deformation rings Moduli of finite flat group schemes, and modularity

Reference 48

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Observation 34c48837-15d2-4dc7-a74a-a731d128b7d7 · outbound

This paper cites Khare and Jack A.

On the modularity of 2-adic potentially semi-stable deformation rings Khare and Jack A

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.392788Z

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Observation dae23fb8-7105-4419-abdf-1eec44948404 · outbound

This paper cites On S erre's conjecture for 2-dimensional mod p representations of Gal ( Q / Q).

On the modularity of 2-adic potentially semi-stable deformation rings On S erre's conjecture for 2-dimensional mod p representations of Gal ( Q / Q)

Reference 50

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Observation fc9dfcea-9fde-487f-896e-a01786ef9112 · outbound

This paper cites Serre's modularity conjecture.

On the modularity of 2-adic potentially semi-stable deformation rings Serre's modularity conjecture

Reference 51

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Observation dd3dd71d-3b81-40f6-8a1c-bd9a6a19c688 · outbound

This paper cites The Fontaine-Mazur conjecture in the residually reducible case.

On the modularity of 2-adic potentially semi-stable deformation rings The Fontaine-Mazur conjecture in the residually reducible case

Reference 52

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Observation b582d993-1a46-4874-ad72-43036b725e19 · outbound

This paper cites Extensions for supersingular representations of GL _2( Q_p).

On the modularity of 2-adic potentially semi-stable deformation rings Extensions for supersingular representations of GL _2( Q_p)

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.359886Z

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Observation f040aa0e-4c06-4d9f-815e-1bcf3e95c43a · outbound

This paper cites The image of C olmez's M ontreal functor.

On the modularity of 2-adic potentially semi-stable deformation rings The image of C olmez's M ontreal functor

Reference 54

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Observation a4c2375b-5835-48b8-948c-bb9cbba0670b · outbound

This paper cites Blocks for mod \,p representations of GL _2( Q_p).

On the modularity of 2-adic potentially semi-stable deformation rings Blocks for mod \,p representations of GL _2( Q_p)

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.335159Z

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Observation aabc4332-88f7-41c3-8e4c-3320da36c754 · outbound

This paper cites On the B reuil- M \'ezard conjecture.

On the modularity of 2-adic potentially semi-stable deformation rings On the B reuil- M \'ezard conjecture

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.319986Z

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Observation e947c436-d421-4771-aba8-f59918b7cffc · outbound

This paper cites On 2-dimensional 2-adic G alois representations of local and global fields.

On the modularity of 2-adic potentially semi-stable deformation rings On 2-dimensional 2-adic G alois representations of local and global fields

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.304747Z

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Observation b4e06b24-6ddc-433f-9df7-0ddad91fb2db · outbound

This paper cites On 2-adic deformations.

On the modularity of 2-adic potentially semi-stable deformation rings On 2-adic deformations

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.289497Z

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Observation 9b2b808f-0678-4a82-aeb4-3c5408a9cd2c · outbound

This paper cites On the Breuil-Schneider conjecture: Generic case.

On the modularity of 2-adic potentially semi-stable deformation rings On the Breuil-Schneider conjecture: Generic case

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:58:33.716813Z

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Observation bfec0f93-4bd5-45c9-a952-6d357f6fdbb5 · outbound

This paper cites Hilbert modular forms and p -adic H odge theory.

On the modularity of 2-adic potentially semi-stable deformation rings Hilbert modular forms and p -adic H odge theory

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.156220Z

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Observation 2047a634-3829-4d06-92a7-5b4cd2ed5654 · outbound

This paper cites Integral models of H ilbert modular varieties in the ramified case, deformations of modular G alois representations, and weight one forms II.

On the modularity of 2-adic potentially semi-stable deformation rings Integral models of H ilbert modular varieties in the ramified case, deformations of modular G alois representations, and weight one forms II

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.069464Z

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Observation 73a11f28-64ed-4210-ba2d-2fbf17e61264 · outbound

This paper cites Integral models of H ilbert modular varieties in the ramified case, deformations of modular G alois representations, and weight one forms.

On the modularity of 2-adic potentially semi-stable deformation rings Integral models of H ilbert modular varieties in the ramified case, deformations of modular G alois representations, and weight one forms

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.054466Z

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Observation bc5c1986-5761-42d9-9a0b-e4e11916e796 · outbound

This paper cites Local deformation rings for GL _2 and a B reuil- M \' e zard conjecture when p.

On the modularity of 2-adic potentially semi-stable deformation rings Local deformation rings for GL _2 and a B reuil- M \' e zard conjecture when p

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:34.016494Z

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Observation 00acdc8f-2aa0-4711-82c1-69c45ccdf9f2 · outbound

This paper cites On two dimensional weight two odd representations of totally real fields.

On the modularity of 2-adic potentially semi-stable deformation rings On two dimensional weight two odd representations of totally real fields

Reference 64

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:58:33.672279Z

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Observation 58b95aaa-61e6-42aa-b325-d85c7ee4a1aa · outbound

This paper cites On G alois representations associated to H ilbert modular forms.

On the modularity of 2-adic potentially semi-stable deformation rings On G alois representations associated to H ilbert modular forms

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:33.940422Z

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Observation 18a4f7c1-1cb1-4c23-9d95-f383ded08b8c · outbound

This paper cites On the meromorphic continuation of degree two L -functions.

On the modularity of 2-adic potentially semi-stable deformation rings On the meromorphic continuation of degree two L -functions

Reference 66

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Observation e241c64c-da27-4809-b03b-d3d6832e5f8c · outbound

This paper cites Automorphy for some l -adic lifts of automorphic mod l G alois representations.

On the modularity of 2-adic potentially semi-stable deformation rings Automorphy for some l -adic lifts of automorphic mod l G alois representations

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:33.882405Z

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Observation 5afca030-1f03-4614-b138-db67f87ea546 · outbound

This paper cites On the automorphy of l -adic G alois representations with small residual image.

On the modularity of 2-adic potentially semi-stable deformation rings On the automorphy of l -adic G alois representations with small residual image

Reference 68

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On the modularity of 2-adic potentially semi-stable deformation rings Unresolved cited work

Reference 69

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Observation e06e59ec-1338-4657-b707-8d6533a829b7 · outbound

This paper cites On the automorphy of 2-dimensional potentially semi-stable deformation rings of $G_{\mathbb{Q}_p}$.

On the modularity of 2-adic potentially semi-stable deformation rings On the automorphy of 2-dimensional potentially semi-stable deformation rings of $G_{\mathbb{Q}_p}$

Reference 70

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:58:33.650457Z

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Observation 96d8855d-e681-47e8-8bde-f4748a8a5eed · outbound

This paper cites Representations modulo p of the p -adic group GL (2,F).

On the modularity of 2-adic potentially semi-stable deformation rings Representations modulo p of the p -adic group GL (2,F)

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:58:33.849834Z

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Observation bd1c52b8-d86c-4513-8782-46749bcfdb8b · outbound

This paper cites an unresolved cited work.

On the modularity of 2-adic potentially semi-stable deformation rings Unresolved cited work

Reference 72

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