Dr. Pooja Singla
Current position: Associate Professor, Department of Mathematics and Statistics, IIT Kanpur, Kanpur, India -208016
Email: psingla AT iitk.ac DOT in, poojasingla7 AT gmail.com
Research Interests:Representations of finite and p-adic groupsRepresentations of arithmetic groupsApplications of Representation Theory
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Academic profile:
Academic profile:
- Associate Professor; Indian Institute of Technology Kanpur, December 2020 - till date
- Assistant Professor; Indian Institute of Technology Kanpur, June 2020 - December 2020
- Associate Professor; Indian Institute of Science, Bangalore, April 2018 - June 2020
- Assistant Professor; Indian Institute of Science, Bangalore, March 2012 - March 2018
- Post Doctoral Fellow; BGU, Be'er-Sheva, Israel; February, 2010 to February, 2012
- Research Fellow, Institute of Mathematical Sciences, Chennai, India; August, 2005 – February, 2010
- Lecturer in Mathematics; IITT College of Engineering, Himachal Pradesh, India; Jan-June, 2005
- Lecturer in Mathematics; S.D.A.V institute of higher studies, Punjab, India; July-December, 2004
Background:
Background:
- PhD in Mathematics, IMSc, Chennai, India (August 2005-February 2010 (Research Supervisor: Prof. Amritanshu Prasad))
- MSc (Mathematics), Punjabi University, Patiala, India (August 2002-July 2004)
- BEd (Mathematics, Science), Punjab University, Chandigarh, India (August 2001-July 2002
- BSc (PCM), Mata Gujri College, Punjabi University, Patiala, India (August 1998-July 2001)
Publications:
Publications:
- On Gelfand pairs and Degenerate Gelfand-Graev modules of General Linear groups of degree two over principal ideal local rings of length two
- Representation zeta functions of groups of type A_2 in positive characteristic
- On twisted group ring isomorphism problem for p-Groups
- Projective representations of Heisenberg groups over the rings of order p^2
- On Quasi Steinberg characters of Complex Reflection Groups
- On Projective Representations of Finitely Generated Groups
- Representation Growth of Compact Special Linear Groups of Degree Two
- A multiplicity one theorem for groups of type A_n over discrete valuation rings,
- Quasi-Steinberg character of Symmetric, Alternating groups and their double covers,
- Gelfand criterion and multiplicity one results for GL_n over Finite Chain Rings
- On Schur multiplier and Projective Representations of Heisenberg Groups,
- A natural Markov chain on rings, I: Finite commutative rings,
- Representations and Conjugacy Classes of General Linear Groups over Principal Ideal Local Rings of Length Two,
Supervision:
Supervision:
Post-Doc supervision:
- Dr. Tejbir (PhD from IISER Mohali), Institute PostDoctoral fellow, 2024-till now.
- Dr. Suraj Singh Khurana (PhD from IIT Ropar), NBHM PostDoc, 2021-2023 (currently faculty at SRM university, AP)
- Dr. Surinder Kaur (PhD from IIT Ropar), CSIR-Research Associate, April 2021-2023 ( currently faculty at SRM university, AP)
- Dr. Sumana Hatui (PhD from HRI, Allahabad), NBHM PostDoc at IISc, January 2019-June 2020 (currently faculty at NISER Bhubaneswar)
PhD supervision:
- Archita Gupta (2020-)
- M Hassain, IISc Bangalore (2014-2019)
thesis title " Representations of Special Compact Linear Groups of Order Two: Construction, Representation Growth, Group Algebras, and Branching Laws".
Administrative Positions:
Administrative Positions:
National level:
Executive Committee Member, Indian Women and Mathematics (IWM), since 2014
Institute level:
Senate Appeals committee (SAC) member
Sports and physical education committee (SPEC) member
Kislaya school management committee member
Swimming pool committee member
Student's Ombudsman group member
At the department level:
Department Convener/member of Senate Scholarships and Prizes Committee (SSPC)
Department QIP PhD interview committee member (multiple times)
Department PhD interview committee member (multiple times)
Department student seminar committee member at IITK, 2021.
Department web page committee member at IITK, 2020.
Served as an external examiner for a M.Sc(with thesis) student of Ben-Gurion university, Beersheva, Israel.
Served as an external examiner for a Ph.D. student of IMSc, Chennai.
Paper setter for GATE exam, 2012.
Department representative member of Undergraduate board of studies(UGBoS) at IISc, Bangalore.
Member of department post-doctoral selection committee at IISc, January 2016-June 2020.
Department Seminar organizer at IISc for August 2012-August 2013.
Teaching:
Teaching:
Courses taught at IIT Kanpur:
- Introduction to Lie algebras and Representation theory (MTH 641)
- Representation theory of finite groups (MTH 732)
- Introduction to Coxeter groups (MTH 731)
- Linear algebra (MTH 113)
- MTH 102A (Linear algebra and ODE)
- Algebra (MTH 751)
- An Introduction to Arithmetic Geometry (MTH 671)
Courses taught at IISc:
- Algebra-1 (MA 212)
- Representation theory of finite groups (MA 220)
- Classical Groups (MA 385)
- Linear Algebra (MA 219)
- Real Analysis (MA221)
- p-adic analysis compared with real (MA210)
- Algebra-II (MA213)
- Introduction to Lie algebras and their representations (MA315)
- Topics in representation theory (MA 385A)
Course taught at BGU, Israel:
- Representation theory of finite dimensional associative algebras via quivers, Oct, 2010-Feb, 2012, ( a grad level short elective course taught at BGU, Israel)
Conferences/Workshops organized:
Conferences/Workshops organized:
- Summer School for Young Women in Mathematics at Christ university, Bangalore, June 2025
- Organized the "Symposium on representation theory" as part of RMS annual conference held at Christ university, Bangalore during December 2024.
- ``Combinatorial methods in Enumerative algebra" an international conference at ICTS, Bangalore, Dec 2024.
- Winter School for Young Women in Mathematics at Sardar Patel University, Vallabh Vidyanagar, Gujarat during December 2024.
- Winter School for Young Women in mathematics at Punjabi University, Patiala during December 2023.
- IWM Winter School for Young Women in Mathematics, IIT Kanpur during December 15-24th, 2021 (online).
- Young Researcher's Meet of Math-Stat, IITK on November 29th, 2021 (online)
- SPARC lecture series by Professor James Borger, November, 2021(online)
- Group Algebras, Representations and Computation, an international workshop held at ICTS Bangalore, October 14th- 23rd, 2019.
- In-house symposium for students and Post Docs at IISc Bangalore on March 28th-29th, 2019.
- $\nu$-X Symposium'': an In-house faculty symposium of the department at IISc, Bangalore on November 27, 2018.
- IWM annual conference 2017 at IISc Bangalore during July 13-15, 2017.
- IWM regional workshop at Punjabi university, Patiala during February 06-07, 2017.
- UGC Workshop on probability and representation thoery at IISc, Bangalore during March 6-7th, 2015.
- Young Women and Mathematics-2014 at IISER Pune during July 25-27th, 2014.
Recent Invited Lectures/Seminars:
Recent Invited Lectures/Seminars:
- Lecture series titled "Introduction to Coxeter groups and their representations" at Asian and European Schools in Mathematics (AEISM), NEHU Shillong during 21-26th July 2025
- Lecture on ``A construction of irreducible representations of GL_3(O)" at IWM annual conference in IIT Patna, India on July 12, 2025
- Lecture series titled "Finite Coxeter groups and their representations" at Recent developments of group theory conference, IIT Bhubaneswar during 07th-11th July 2025
- Lecture on "Group determinants and Representation theory of finite groups" at IIIT Nagpur on 23rd May, 2025 (online)
- Lecture on "On decomposition of Gelfand-Graev modules of GL_n(O)" in HRI Allahabad on 13 May, 2025 (online)
- Lecture on ``A construction of irreducible representations of GL_3(O)" at Women in Mathematics Day in IIT Jodhpur India on May 12, 2025(online)
- Lecture titled "On decomposition of Gelfand-Graev modules of GL_n(O)" at online seminar on probabilistic and geometric group theory on 30 April, 2025(online)
- Lecture on ``A construction of irreducible representations of GL_3(O)" in Representations of Groups and Algebras in IMSc Chennai on 05 February 2025
- Lecture on ``A construction of irreducible representations of GL_3(O)" in an international conference title ``Combinatorial methods in Enumerative algebra" at ICTS, Bangalore on 10 Dec 2024
- Lecture series on ``Introduction to Coxeter groups and their representations" at HRI, Allahabad, December 2023.
- ``An introduction to the representation theory of finite groups"(online) at a refresher course in Mathematics and Statistics Sciences organized by HRDC, Punjabi University, Patiala on 08 Dec 2023.
- Lecture series on ``Projective representations of finite groups'' at NCM school on representation theory at CMI, Chennai, June-July 2022.
- ``A multiplicity one theorem for Whittaker model of GL_n(O)" at Oberseminar Groups and Geometry, Bielefeld on 11 May 2022 (online).
- ``Lecture series on Linear Algebra" at IWM Winter School for Women in Mathematics and Statistics IIT Kanpur, 15-24 December 2021 (online).
- ``Quasi Steinberg characters of Symmetric and Alternating groups and their double covers" at Group Theory Sangam on 18 May, 2021 (online).
- ``Group determinants and Representation theory of finite groups'' at May 12- celeberating women in Mathematics on 12 May, 2021 (online).
- ``Projective representations of discrete nilpotent groups" at Algebra and Combinatorics seminar at IISc, Bangalore on 08 January, 2021 (online).
- ``Projective representations of discrete Heisenberg groups" at 35th RMS Conference on 27 December, 2020 (online).
- ``Representations of Special Compact Linear Groups" at international conference on Number theory and Algebra at IIT BHU, Varanasi on 23 December, 2020 (online).
- ``Representations of Special Compact Linear Groups" at Mathematics Seminar Series, IIIT Delhi on Nov 10th, 2020 (online).
- ``Projective representations of discrete Heisenberg groups" at IIT Kanpur on 8 October, 2020 (online).
- ``Linear Algebra in Google'' at AES national Degree College, Gauribidanur, Karnataka as part of IWM visitor program on 24 February, 2020.
Awards:
Awards:
- IoE IISc travel grant to visit ANU, Australia in May, 2019.
- Grants by BGU, CIMPA, ICTP, University of Milano, IMSc, Bielefeld University, IISc to attend various conferences.
- Selected for Chebyshev grant, IMU 2022.
- PostDoctoral fellowship, BGU Institute of Advanced studies, Israel.
- UGC-CSIR Junior Research Fellowship, 2005.
- Dr. V.D.Singh memorial scholarship for securing first position in M.Sc, Punjabi university, Patiala
- University Gold Medal for First rank in M.Sc. (2004)
- College Color for first rank in B.Sc.(2001, 2002).
- 10th standard merit list scholarship(1998-2001).
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