ASSISTANT PROFESSOR (GRADE-II)
mukesh.nagar@mail.jiit.ac.in
EDUCATION
Ph.D. (IIT Bombay)
M.Sc. Tech Mathematics (Central University of Rajasthan)
Research Interest Areas:
Combinatorics, Representation Theory and Graph Theory
WORK EXPERIENCE (Five years)
- June 2023 to ongoing: Assistant Professor, Department of Mathematics, Jaypee Institute of Information Technology, Sector-62, Noida, Uttar Pradesh, India.
- August 2022 to May 2023: Temporary Assistant Professor, Punjab Engineering College Chandigarh.
- January 2018 to April 2019: Postdoctoral Fellow, IIT Bombay, IIT Dharwad, NISER Bhubaneswar.
- May 2019 to May 2021: National Postdoctoral Fellow, IIT Kanpur.
- August 2012 to June 2013: Guest Lecturer, Government Engineering College Jhalawar.
Felloships/Awards:
NPDF Fellowship, INSPIRE Fellowship, UGRI Fellowship, University Gold Medal
Present Teaching:
Present: Mathematics 1 and Introduction to Programming Using C
Courses taught in Past:
Mathematics 1, Calculus, Numerical Methods and Linear algebra, Complex Analysis and ODE, Discrete Mathematics.
PUBLICATIONS
International Journals
- Nagar M. K., Lal A. K., and Sivasubramanian S., Inequalities among two rowed immanants of the q-Laplacian of Trees and Odd height peaks in generalized Dyck paths. Journal of Difference Equations and Applications (2022), 28(2) 198-221.
- Nagar M. K., and Sivasubramanian S., Generalized Matrix polynomials of Tree Laplacians indexed by Symmetric functions and the GTS poset. Se ́minaire Lotharingien de Combinatoire 83 (2021), 10pp.
- Nagar M. K., Eigenvalue monotonicity of q-Laplacians of trees along a poset. Linear Algebra and its Applications 571 (2019), 110–131.
- Nagar M. K., and Sivasubramanian S., Laplacian Immanantal polynomials and the GTS poset on Trees. Linear Algebra and its Applications 561 (2019), 1–23.
- Nagar M. K., and Sivasubramanian S., Hook immanantal and Hadamard inequalities for q-Laplacians of trees. Linear Algebra and its Applications 523 (2017), 131–151.
International/National Conferences/Workshops
- Conference on Linear Algebra and its Applications, 2019, Indian Statistical Institute, Delhi, India. Talk: Generalized Matrix polynomials of Tree Laplacians indexed by Symmetric functions and the GTS poset
- India-Taiwan Conference on Discrete Mathematics, 2019, IIT (BHU) Varanasi, India.
- International Conference on Linear Algebra and its Applications ICLAA (2017) Manipal University, Manipal, India. talk: Immanants of q-Laplacians of Trees
- International conference and PhD-Master summer school on Graphs and Groups, Spectra and Symmetries G2S2 (2016) Novosibirsk State University, Russia. talk: A q and q; t-analogue of Hook Immanantal inequalities and Hadamard inequality for Trees
- Caldam, 2016, Kerala University, India.
- AIS on Algebraic Combinatorics and Spectral Graph Theory, Mepco Schlenk Engineering College Tamilnadu
- AIS on Representation Theory of Finite Groups, 2017, Chennai Mathematical Institute, India
- AIS on Matrix Analysis, 2016, Shiv Nadar University, India
- Advanced instructional school on Mathematical Programming (2016) at Central University of Tamilnadu, India
- Indo-Hungarian school on Discrete Mathematics, 2016, Kerala University, India.
- Indo-German school on Big Data, 2016, IIT Madras, India