Dr. Meenakshi Rana

Professor, Department of Mathematics

Thapar Institute of Engineering & Technology, Patiala, Punjab, India

Email: mrana@thapar.edu Youtube: Mathpod  

Office: Room No 260, G Block

Teaching:

Courses in the Current Semester

• Optimization Techniques 

Courses Taught

• Number Theory 

• Computational Number Theory 

• Enumerative Combinatorics  

• Complex Analysis

• Functional Analysis

• Introductory Mathematics

• Graph Theory

• Discrete Mathematics

• Calculus

• Linear Algebra

• Optimization Methods

In my recent work, I have explored innovative interpretations of fundamental q-series and mock theta functions through combinatorial frameworks such as colored partitions, lattice paths, F-partitions, and a distinct class of infinite matrices. My current interests revolve around establishing direct bijections between various combinatorial tools, elucidating their rich combinatorial relationships and structural insights.

Research Interest:

I am a passionate mathematician specializing in Combinatorics, a fascinating branch of mathematics closely intertwined with Number Theory, Discrete Mathematics, and Counting Problems. My research focuses on the q-series identities, combinatorics of q-series, and mock theta functions, driven by my deep admiration for Ramanujan’s Mock Theta Functions.

In my recent work, I have explored innovative interpretations of fundamental q-series and mock theta functions through combinatorial frameworks such as colored partitions, lattice paths, F-partitions, and a distinct class of infinite matrices. My current interests revolve around establishing direct bijections between various combinatorial tools, elucidating their rich combinatorial relationships and structural insights.