Purkait Soma プルカイトソーマ

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プルカイトソーマプルカイトソーマ

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Researcher Number	30806592
Affiliation (Current)	2026: 東京科学大学, 理学院, 特任准教授
Affiliation (based on the past Project Information) *help	2024: 東京科学大学, 理学院, 特任准教授 2018 – 2023: 東京工業大学, 理学院, 特任准教授
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related
Keywords	Principal Investigator Waldspurger's formula / Representation / Automorphic / Congruent numbers / Hecke algebra / mod p representation / Iwahori Hecke algebra / Shimura correspondence / Local Newforms / Local Hecke algebra … More / L-functions / Shimura Correspondence / Whittaker functions / Newforms / Local Hecke Algebras / Hecke algebras / Half-integral weight / Automorphic forms Less

Research Projects
(1 results)
Research Products
(19 results)

Newform theory for the full space via local Shimura correspondence and Waldspurger-type theoremPrincipal Investigator
- Principal Investigator
  
  Purkait Soma
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Institute of Science Tokyo

All 2025 2024 2022 2021 2020 2019 2018

All Journal Article Presentation

[Journal Article] A Hecke algebra of level 4 and associated Whittaker functions2025
- Author(s)
  Baruch Ehud Moshe、Purkait Soma
- Journal Title
  
  Proceedings of the Japan Academy, Series A, Mathematical Sciences
  
  Volume: 101 Issue: 4 Pages: 19-23
- DOI
  10.3792/pjaa.101.004
- Data Source
  KAKENHI-PROJECT-18K13396
[Journal Article] A variant of the congruent number problem2024
- Author(s)
  Jerome T Dimabayao, Soma Purkait
- Journal Title
  
  Kyushu Journal of Mathematics (Accepted)
  
  Volume: Vol.78 no.2
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13396
[Journal Article] pi/4 Congruent number problem2022
- Author(s)
  Soma Purkait
- Journal Title
  
  WINJ2022 第15回数論女性の集まりと共に
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-18K13396
[Journal Article] Hecke Algebra of Level p^22021
- Author(s)
  Soma Purkait
- Journal Title
  
  WINJ14 第14回数論女性の集まりと共に
  
  Volume: - Pages: 69-79
- Data Source
  KAKENHI-PROJECT-18K13396
[Journal Article] Newforms of half-integral weight: the minus space counterpart2019
- Author(s)
  E.M. Baruch, S. Purkait
- Journal Title
  
  Canadian Journal of Mathematics
  
  Volume: To appear
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13396
[Journal Article] Newforms of half-integral weight: the minus space of S_(k+1/2) (Γ_0 (8M))2019
- Author(s)
  E.M. Baruch, S. Purkait
- Journal Title
  
  Israel Journal of Mathematics
  
  Volume: To appear
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13396
[Journal Article] Newforms of half-integral weight2019
- Author(s)
  S. Purkait
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2100 Pages: 109-120
- Data Source
  KAKENHI-PROJECT-18K13396
[Journal Article] 3. On distinguishing representations of different conductor2018
- Author(s)
  S. Purkait
- Journal Title
  
  「第11回数論女性の集まり」報告集
  
  Volume: 11 Pages: 77-81
- Data Source
  KAKENHI-PROJECT-18K13396
[Presentation] p-modular local (p-adic) Hecke algebras of metaplectic SL_2 and Shimura correspondence2024
- Author(s)
  Soma Purkait
- Organizer
  Seminaires GAT, LAMFA, UPJV
- Invited
- Data Source
  KAKENHI-PROJECT-18K13396
[Presentation] Hecke algebra and Shimura correspondence2024
- Author(s)
  Soma Purkait
- Organizer
  IMath Seminar, University of Philippines, Diliman
- Invited
- Data Source
  KAKENHI-PROJECT-18K13396
[Presentation] Pi/4 Congruent Number Problem2022
- Author(s)
  Soma Purkait
- Organizer
  WINJ2022 第15回数論女性の集まりと共に
- Data Source
  KAKENHI-PROJECT-18K13396
[Presentation] Hecke algebra of level p^22021
- Author(s)
  Soma Purkait
- Organizer
  第14回数論女性の集まり
- Data Source
  KAKENHI-PROJECT-18K13396
[Presentation] Local Hecke algebras and Whittaker functions2021
- Author(s)
  Soma Purkait
- Organizer
  Modular forms: Conference in honour of Prof. B. Ramakrishnan’s 60th birthday
- Invited
- Data Source
  KAKENHI-PROJECT-18K13396
[Presentation] Hecke algebras, Whittaker functions and New space2020
- Author(s)
  Soma Purkait
- Organizer
  International Seminar on Automorphic Forms
- Invited
- Data Source
  KAKENHI-PROJECT-18K13396
[Presentation] New forms of half integral weight2019
- Author(s)
  S. Purkait
- Organizer
  International Conference on Number Theory, IISER TVM
- Invited
- Data Source
  KAKENHI-PROJECT-18K13396
[Presentation] Local Hecke algebra and minus space2019
- Author(s)
  S. Purkait
- Organizer
  Number theory conference, IMSc Chennai
- Invited
- Data Source
  KAKENHI-PROJECT-18K13396
[Presentation] Minus space of level 82018
- Author(s)
  S. Purkait
- Organizer
  Kanazawa Number theory Mini-Workshop 2018.
- Invited
- Data Source
  KAKENHI-PROJECT-18K13396
[Presentation] Local Hecke algebras, newforms and new vectors2018
- Author(s)
  S. Purkait
- Organizer
  Automorphic forms on reductive groups and their covers: In honour of Solomon Friedberg", ETH Zurich.
- Data Source
  KAKENHI-PROJECT-18K13396
[Presentation] On distinguishing representations of different conductor2018
- Author(s)
  S. Purkait
- Organizer
  WINJ11 Workshop, Rikkyo University.
- Data Source
  KAKENHI-PROJECT-18K13396

Purkait Soma プルカイト ソーマ

プルカイト ソーマ プルカイト ソーマ

Research Projects

Research Products

Newform theory for the full space via local Shimura correspondence and Waldspurger-type theoremPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] A Hecke algebra of level 4 and associated Whittaker functions2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A variant of the congruent number problem2024

Author(s)

Journal Title

Data Source

[Journal Article] pi/4 Congruent number problem2022

Author(s)

Journal Title

Data Source

[Journal Article] Hecke Algebra of Level p^22021

Author(s)

Journal Title

Data Source

[Journal Article] Newforms of half-integral weight: the minus space counterpart2019

Author(s)

Journal Title

Data Source

[Journal Article] Newforms of half-integral weight: the minus space of S_(k+1/2) (Γ_0 (8M))2019

Author(s)

Journal Title

Data Source

[Journal Article] Newforms of half-integral weight2019

Author(s)

Journal Title

Data Source

[Journal Article] 3. On distinguishing representations of different conductor2018

Author(s)

Journal Title

Data Source

[Presentation] p-modular local (p-adic) Hecke algebras of metaplectic SL_2 and Shimura correspondence2024

Author(s)

Organizer

Data Source

[Presentation] Hecke algebra and Shimura correspondence2024

Author(s)

Organizer

Data Source

[Presentation] Pi/4 Congruent Number Problem2022

Author(s)

Organizer

Data Source

[Presentation] Hecke algebra of level p^22021

Author(s)

Organizer

Data Source

[Presentation] Local Hecke algebras and Whittaker functions2021

Author(s)

Organizer

Data Source

[Presentation] Hecke algebras, Whittaker functions and New space2020

Author(s)

Organizer

Data Source

[Presentation] New forms of half integral weight2019

Author(s)

Organizer

Data Source

[Presentation] Local Hecke algebra and minus space2019

Author(s)

Organizer

Data Source

[Presentation] Minus space of level 82018

Author(s)

Organizer

Data Source

[Presentation] Local Hecke algebras, newforms and new vectors2018

Purkait Soma プルカイトソーマ

プルカイトソーマプルカイトソーマ