PhD Guidance:

• Sonali Sharma (MNIT Jaipur), Some Contribution to Tensor Complementarity Problem-Completed ( Currently, she is a Postdoctoral Fellow at IIT Madras )
• Punit Kumar Yadav (MNIT Jaipur), Some New Result on Horizontal Complementarity Problems-Submitted. (Currently, he is a Visiting Scientist at ISI Delhi )
• Keshav Saini (MNIT Jaipur), Spectral Graph Theory- On Going.

MSc Project Guidance (at MNIT Jaipur):

• Himanshi Lohit (2020) Spectrum of Adjacency Matrix.
• Kirtika (2020) A Study on Laplacian Spectrum of Graphs.
• Apurva Singh Rathore (2020) The Cone of Positive Semidefinite Matrices.
• Gargi Hadvani (2021) Kronecker Product and It's Applications.
• Lovely Gupta (2021) Generalized Inverse of a matrix.
• Vishal (2021) Positive Subdefinite Matrices.
• Keshav Saini (2022) Cayley Digraphs of Groups. 
• Kriti Srivastava (2022) Distance matrix of a Graph.
• Varun Shrivastava (2022) Resistance Matrix of a Graph.
• Sonam Yadav (2023) Max-Plus Algebra.
• Shri Om Upadhyay (2023) A Study on Semimonotone Matrices.

Institute Level:

• Hostel Warden (August 2021-July 2022, MNIT Jaipur).
• SC/ST Cell Coordinator/Liaision Officer (July 2022- August 2023, MNIT Jaipur).
• Member, Internal Complaint Committee (ICC), (July 2022- August 2023, MNIT Jaipur).

Department Level:

• Website Management Coordinator (2019-2021, MNIT Jaipur).
• Alumni Affairs (2021-2022, MNIT Jaipur).
• Procurement In-charge (2022-2023,  MNIT Jaipur).

PG Courses:

1. Linear Algebra. (NIT Jaipur) 
2. Abstract Algebra. (NIT Jaipur)
3. Applied Linear Algebra. (NIT Jaipur)
4. Field and Galois Theory (NIT Jaipur)
5. Complex Analysis (NIT Calicut)

UG Courses:.

1. Mathematics I for B.Tech (NIT Jaipur).
2. Mathematics II for B.Tech (aIT Jaipur).
3. Applied Mathematics for B.Arch (NIT Calicut)
4. Probability and Statistics for B.Tech (NIT Calicut)
5. Mathematics II for B.Tech (NIT Calicut)
6. Probabilty and Random Process for B.Tech (NIT Calicut)
7. Real Analysis for B.Sc B.Ed Maths (NIT Calicut)

• R. Balaji and K. Palpandi, On the Lipschitz continuity of the solution map in linear complementarity problems over second-order cone, Linear Algebra and Applications, 510, 146-159 (2016). DOI: https://doi.org/10.1016/j.laa.2016.08.019 
• R. Balaji and K. Palpandi, Some new results for linear complementarity problems on proper and symmetric cones, Pacific Journal of Optimization, 13, 165-183 (2017).  http://www.yokohamapublishers.jp/online2/oppjo/vol13/p165.html 
•  R. Balaji and K. Palpandi, Positive definite and Gram tensor complementarity problems, Optimization Letters, 1,1-10 (2018). DOI: https://doi.org/10.1007/s11590-017-1188-8 
• K. Palpandi and Sonali Sharma, Tensor complementarity Problems with Finite Solutions Sets, Journal of Optimization Theory and Applications, 190, 951-965 (2021). DOI: https://doi.org/10.1007/s10957-021-01917-9 
•  Sonali Sharma, K. Palpandi , Some Existence Results for the Generalized Tensor Absolute Value Equation. Journal of Filomat, 37(13) 4185-4194 (2023). DOI:  https://doi.org/10.2298/FIL2313185S. 
• Punit Kumar Yadav, K. Palpandi, Generalizations of R0 and SSM Properties for Extended Horizontal Linear Complementarity Problem,  Journal of Optimization Theory and Applications, 199:392-414 (2023) DOI: https://doi.org/10.1007/s10957-023-02262-9 
• Sonali Sharma, K. Palpandi, Punit Kumar Yadav, Structure of the w-solution set of the tensor complementarity problem, Optimization-A Journal of Mathematical Programming and Operations Research, 1-24, (2023) DOI: https://doi.org/10.1080/02331934.2023.2245406 
• Sonali Sharma, K. Palpandi, A Criterion for Q-tensors, Journal of Optimization Letters, 1-16 (2023) https://doi.org/10.1007/s11590-023-02074-w 
• Punit Kumar Yadav, K. Palpandi, On finiteness of the solution set of Extended Horizontal Linear Complementarity Problem, Journal of Operation Research Letters  54 107112 (2023) https://doi.org/10.1016/j.orl.2024.107112 
• Punit Kumar Yadav, Sonali Sharma, K. Paplandi, The Horizontal Tensor Complementarity Problem, (Accepted for publication in Optimization-A Journal of Mathematical Programming and Operations Research) (2024). https://doi.org/10.1080/02331934.2024.2397076 

Communicated/Pre Print:

• Punit Kumar Yadav, K. Palpandi, The Weighted Horizontal Linear complementarity Problems over Symmetric cone.
• Punit Kumar Yadav, K. Palpandi, Kushal Sharma, Column sufficient property and Extended Horizontal linear complementarity problems.

Book Chapter:

• Yadav, P.K., Palpandi, K. (2023). The Range Column Sufficiency and the Pseudo-SSM Property of Linear Transformation on Euclidean Jordan Algebra,  Applied Linear Algebra, Probability and Statistics. Indian Statistical Institute Series. Springer, Singapore. DOI: https://doi.org/10.1007/978-981-99-2310-6_25