» Dr. Shivalika Saxena

Dr. Shivalika Saxena (Faculty)

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Dr. Shivalika Saxena

Assistant Professor,
Department of Basic Science

7828754941 | mathshivalika@gmail.com

Qualifications

M. Sc., D.Phil. in Mathematics
Qualified JRF(NET), GATE

Subject Expertise

Linear Algebra, Group Theory, Complex Analysis, Calculus etc.

Area Of Research

Fuzzy set theory
Differential geometry

List Of Publications

On Lie-recurrence in a Finsler Space, Diff. Geom. Dyn. Syst., Vol. 13 (2011) 201-207.
On a Generalized H-Recurrent Finsler Space, J. Int. Acad. Phys. Sci., 15 (Special issue 1) (2011) 201-211.
On Projective N-Curvature Inheritance, Acta Math. Hungar., 136 (1-2) (2012) 30-38.
Torse Forming Projective motion in an NP-Fn, Journal of Tensor Society, 6 (1), (2012), 105-116.
On an R-Randers mth-root Space, Geometry, vol. 2013, Article ID 649168, 7 pages, 2013. doi:10.1155/2013/649168.
On Special Concircular K-Lie-recurrence in Special Finsler Spaces, South Asian Journal of Mathematics, 4 ( 1 ) (2014) 28-34.
Some properties of a Finsler space with the metric J. Int. Acad. Phys. Sci., 18(2) (2014) 141-150.
Lagrange spaces with generalized (γ, β)-metric, Facta Universitatis (Nis) ˇ Ser. Math. Inform. 31(1) (2016) 201-212.
Geometric objects recurrent in a direction and directionally recurrent Finsler spaces, AIP Conference Proceedings 1897, 020025 (2017); doi: 10.1063/1.5008704.
Killing Correspondence in Finsler Spaces Under β -change of Metrics, J. Int. Acad. Phys. Sci., 25(1) (2021) 1-9.
Advanced Risk-Averse Diagnosis of Diabetes Mellitus via Parameterized Asymmetric Spherical Fuzzy Similarity Measures with Log-Exp Dual Penalization, Journal of International Academy of Physical Sciences 30(1) (2026) 55–70.
On ∆ Operation over Fermatean Fuzzy Sets: An Application to a De-i-fuzzification Technique, Nepal Journal of Mathematical Sciences 6(2) (2025) 23-36.
On C^h-recurrent Finsler spaces with a semi-concurrent vector field, published in Emerging Advancements in Mathematical Sciences, Nova Science Publisher, New York, 2022. (Book Chapter)

Conference Attended (National/International)

● 10th International Conference of International Academy of Physical Sciences (CONIAPS-X), January 12-14, 2008, Guru Ghasidas University, Bilaspur.
● National Conference of the Tensor Society, October 2-3, 2009, Swargashram, Rishikesh.
● National Symposium on Modern Trends in Differential Geometry and Mathematical Modelling in Bio-Sciences, January 9-10, 2010, Lucknow University, Lucknow.
● 11th International Conference of International Academy of Physical Sciences (CONIAPS-XI), February 20-22, 2010, University of Allahabad.
● National Seminar on Current Trends in Mathematics with special focus on operation research and computers, March 28-29, 2010, Dr. R. M. L. Avadh University, Faizabad.
● Conference on Recent Trends in Pure and Applied Mathematics, July 24-25, 2010, D. D. U. Gorakhpur University, Gorakhpur.
● 12th International Conference of International Academy of Physical Sciences (CONIAPS XII), December 22-24, 2010, University of Rajasthan, Jaipur.
● NASI sponsored Workshop on Writing Research Papers, June 10-11, 2011, BHU, Varanasi.
● 13th International Conference of International Academy of Physical Sciences (CONIAPS XIII), June 14-16, 2011, University of Petroleum and Energy Studies, Dehradun.
● 26th Annual Conference of Ramanujan Mathematical Society, October 2-5, 2011, University of Allahabad, Allahabad.
● 4th Annual Conference of the Tensor Society, October 8-9, 2011, SRMGPC, Lucknow.
● 14th International Conference of International Academy of Physical Sciences (CONIAPS XIV), December 22-24, 2011, SVNIT, Surat.
● International Conference on Differential Geometry, Functional Analysis and Applications (ICDGFAA-12) September 8-10, 2012, Jamia Millia Islamia (Central University) New Delhi-110 025.
● 16th International Conference of International Academy of Physical Sciences (CONIAPS XVI), March 20-22, 2014, PDPM IIIDM, Jabalpur
● 18th International Conference of International Academy of Physical Sciences (CONIAPS XVIII), December 22-24, 2015, University of Allahabad, Allahabad.
● Importance of Technical Terminology in Mathematics and Its Applications, February 16-18, 2018, Nehru Gram Bharti University, Allahabad
● National conference on Recent Trends in Mathematics & Computer Applications, December 22-23, 2024.
● International conference on Women in Innovation, Networking & Global Solutions (IC-WINGS), October 14-15, 2025, MIT, Muzaffarpur.

Membership

Life Member of International Academy of Physical Sciences (IAPS).

Awards and Honors

Honoured with the Young Geometer Award during the 2nd Annual Conference of the Tensor Society, October 2-3, 2009, Swargashram, Rishikesh.

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