Title Dr. First Name HEMANT Last Name SINGH
Designation Associate Professor
Department Department of Mathematics
Email hemantksingh@maths.du.ac.in
Webpage
Phone.no 1127666658
Employement Info
Employee Type Nature Of Employment
Teaching Permanent
Fellowship Details
Name Of Fellowship Awarding Body Fellowship Level
Junior Research Fellowship Council of Scientific and Industrial Research National
Teaching Experience (Within Institution)
Designation Duration
Lecturer- Adhoc 03-12-2002 To 30-04-2003 (4 months, 27 days)
Lecturer- Adhoc 01-11-2003 To 30-09-2004 (10 months, 29 days)
Lecturer-Adhoc 29-07-2005 To 27-07-2007 (1 years, 11 months, 28 days)
Assistant Professor- Adhoc 28-07-2007 To 21-08-2010 (3 years, 24 days)
Assistant Professor- Adhoc 29-08-2010 To 20-09-2010 (22 days)
Assistant Professor 22-09-2010 To 22-01-2014 (3 years, 4 months)
Assistant Professor 22-01-2014 To 22-01-2022 (8 years)
Associate Professor 23-01-2022 To 05-09-2022 (7 months, 13 days)
Administrative Experience (Within Institution)
Designation Duration
Warden 01-05-2015 To 05-09-2022 (7 years, 4 months, 4 days)
Research Supervision Overview
PhD Scholars Supervised PhD Degrees Awarded Theses Submitted
3 1 0
Research Publications
Title of Article Type of Publication Name of Journal ISSN Journal Volume Year Link to Article DOI (Digital Object Identifier)
Journal of Algebra and Its Applications Research Papers in Web of Science Listed Journals Journal of Algebra and Its Applications ISSN (print): 0219-4988 | ISSN (online): 1793-6829 (2025) 2550311 2024 https://www.worldscientific.com/doi/abs/10.1142/S0219498825503116 https://doi.org/10.1142/S0219498825503116

Orbit spaces of free involutions on the product of three spheres Research Papers in Web of Science Listed Journals Quaestiones Mathematicae 1607-3606 47(1), 2024 ttps://doi.org/10.2989/16073606.2023.2288707

Fixed point sets and orbit spaces of wedge of three spheres Research Papers in Web of Science Listed Journals Topology and its Applications 0166-8641 346 (2024), 108856 2024 https://www.sciencedirect.com/science/article/abs/pii/S0166864124000415?via%3Dihub https://doi.org/10.1016/j.topol.2024.108856

Elementary abelian group actions on a product of spaces of cohomology type (a,b) Research Papers in Web of Science Listed Journals Filomat 2406-0933 37:26 (2023) 2023 https://doi.org/10.2298/FIL2326969S

Borsuk-Ulam Type Theorems for Multivalued Maps Research Papers in Web of Science Listed Journals Hiroshima Mathematical Journal 0018-2079 52 (2022) 2022 http://www.math.sci.hiroshima-u.ac.jp/hmj/ doi:10.32917/h2021053

Cohomology classification of spaces with free S^1 and S^3 -Actions Research Papers in Web of Science Listed Journals Filomat 0354-5180 36:20 (2022) 2022 https://journal.pmf.ni.ac.rs/filomat/index.php/filomat https://doi.org/10.2298/FIL2220021K

Fixed Point Free Actions of Spheres and Equivariant Maps Research Papers in Web of Science Listed Journals Topology and its Applications 0166- 8641 107886 https://www.sciencedirect.com/science/article/abs/pii/S0166864121003011?via%3Dihub https://doi.org/10.1016/j.topol.2021.107886

INDICES OF A FINITISTIC SPACE WITH MOD 2 COHOMOLOGY RP^n × S^2 Research Papers in Web of Science Listed Journals Indian Journal of Pure of Applied Mathematics 0975- 7465 50(1) https://link.springer.com/article/10.1007/s13226-019-0304-0 DOI: 10.1007/s13226-019-0304-0

Parametrized Borsuk–Ulam theorems for free involutions on FP^m × S^3 Research Papers in Web of Science Listed Journals Topology and its Applications 0166- 8641 241 https://www.sciencedirect.com/science/article/pii/S0166864118301767?via%3Dihub https://doi.org/10.1016/j.topol.2018.03.015

FREE ACTION OF FINITE GROUPS ON SPACES OF COHOMOLOGY TYPE (0, b) Research Papers in Web of Science Listed Journals Glasgow Mathematical Journal 0017- 0895 60 https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/abs/free-action-of-finite-groups-on-spaces-of-cohomology-type-0-b/92E36828688CFEE734B5C9DA004C4EB3 https://doi.org/10.1017/S0017089517000362

THE SET OF BALANCED POINTS OF MAPS ON COHOMOLOGY LENS SPACES Research Papers in Web of Science Listed Journals Houston Journal of Mathematics 0362- 1588 44(3) no DOI

Borsuk-Ulam Theorems and Their Parametrized Versions for FP^m × S^3 Research Papers in Web of Science Listed Journals Bulletein of Brazellian Mathematical Society (New Series) 1678-7544 49(1) https://link.springer.com/article/10.1007/s00574-017-0040-1 https://doi.org/10.1007/s00574-017-0040-1

A Borsuk-Ulam type theorem for the product of projective space and 3-sphere Research Papers in Web of Science Listed Journals Topology and its Applications 0166- 8641 225 https://www.sciencedirect.com/science/article/pii/S0166864117302158?via%3Dihub http://dx.doi.org/10.1016/j.topol.2017.04.005

On the existence of free action of S3 on certain finitistic mod p cohomology spaces Research Papers in Scopus Listed Journals The Journal of the Indian Mathematical Society 0019- 5839 82(3-4) http://52.172.159.94/index.php/jims/article/viewFile/75957/59195 no DOI

Circle group action on the product of two projective spaces Research Papers in Peer Reviewed Journals Topology Proceedings 2331- 1290 48 no DOI

The Cohomology of Orbit Spaces of Certain Free Circle Group actions Research Papers in Web of Science Listed Journals Proceedings of the Indian Academy of Sciences-Mathematical Sciences 0973- 7685 122(1) https://www.ias.ac.in/article/fulltext/pmsc/122/01/0079-0086 no DOI

On and Free Actions on Spaces of Cohomology type (a, b) Research Papers in Web of Science Listed Journals Houston Journal of Mathematics 0975- 7465 36(1) no DOI

Fixed Point Free Involutions on Cohomology Projective Spaces Research Papers in Web of Science Listed Journals Indian Journal of Pure of Applied Mathematics 0975- 7465 39(3) no DOI

On the Cohomology of Orbit Spaces of Free Zp-Actions on Lens Spaces Research Papers in Web of Science Listed Journals Proceedings of the Indian Academy of Sciences-Mathematical Sciences 0973- 7685 117(3) https://www.ias.ac.in/article/fulltext/pmsc/117/03/0287-0292 no DOI

Finitistic Spaces with Orbit Space a product of Projective Spaces Research Papers in Scopus Listed Journals The Journal of the Indian Mathematical Society Online ISSN : 2455-6475, Print ISSN : 0019-5839 2023 (Accepted Only)
Research Projects
Project Title Project Type Year Of Sanction Outcome/Output Duration
Indexes of a finitistic space with mod 2 cohomology RPm x S2 Minor 2015 One Research Paper Published in a SCIE Journal 15-10-2015 To 14-10-2016 (11 months, 29 days)
Finite group actions on product of spaces of type (0,0) and Borsuk-Ulam type theorem for product of projective spaces Minor 2017 One research paper published in a SCIE journal and one research paper is communicated 21-06-2018 To 20-06-2021 (2 years, 11 months, 30 days)
Index of finitistic spaces and transformation groups on projective spaces Major 2018 Two Project research papers published in SCIE journals and Two research papers are communicated 17-09-2018 To 16-09-2021 (2 years, 11 months, 30 days)
Free involutions on Grassmanian manifold G(n,k) Minor 2021 One Research Paper is likely to communicate in a SCIE journal 29-10-2021 To 30-06-2022 (8 months, 1 days)
Professional Development Programmes
Programme Title Sponsoring Institution Organizing Institution Role Type of Programme
Workshop on “MOOCs, E-content Development and Open Educational Resources" UGC CPDHE, University of Delhi Organising Short Term Program
Refresher Course in Mathematics/ Operational Research/ Statistics and Computer Science UGC CPDHE, University of Delhi Organising Refresher Program
Refresher Course in Mathematics/ Operational Research/ Statistics and Computer Science UGC CPDHE, University of Delhi Organising Refresher Program
Refresher Course in Mathematics/ Operational Research/ Statistics and Computer Science UGC CPDHE, University of Delhi Attending Refresher Program
Refresher Course in Mathematics/ Operational Research/ Statistics and Computer Science UGC CPDHE, University of Delhi Attending Refresher Program
Refresher Course in Mathematics/ Operational Research/ Statistics and Computer Science UGC CPDHE, University of Delhi Attending Refresher Program
Orientation Programme (OR99) UGC Academic Staff College, Jamia Millia Islamia, New Delhi Attending Orientation Programme
Talk Poster Presented
Name of the Activity Role Date of Activity
Cohom ology algebra of the orbit space of some free actions on spaces of cohom ology type (a,b) Oral Presentation 29-12-2008
On S0, S1 and S3 actions on Spheres, Projective spaces, Lens spaces and Spaces of type (a,b) Oral Presentation 17-05-2015
Action of Sphere Groups on Certain Spaces Invited Talk 26-02-2016
Finite Group Actions on Spaces of Cohom ology Type Sn x S2n and Sn V S2n V S3n Invited Talk 28-12-2016
Group Actions on Spaces of Cohomology Type (0, b) Invited Talk 28-04-2017
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