(+91) 9043338564infodesk@iitmz.ac.inZanzibar, Tanzania
An Institute of EminenceInstitute Of Eminence Icon
Photo of Dr. Shivani Goel

Dr. Shivani Goel

Faculty - School of Engg. & Science

shivani.goel.maths@gmail.com

Educational Qualifications

NPDF-National Postdoctoral Research Fellow 2023

IISc Bangalore, India

IOE-Postdoctoral Research Fellow 2022

IISc Bangalore, India

Ph.D. 2020

Mathematics

I.I.T Madras, Chennai, India

M.Phil 2016

Mathematics

University of Delhi, India

M.Sc (Mathematics) 2013

Indraprastha College for Women, University of Delhi, India

B.Sc(H) Mathematics 2010

Indraprastha College for Women, University of Delhi, India

Awards

  • SERB-National Post Doctoral Fellowship (N-PDF)

    2022

  • IOE-Postdoctoral fellowship

    IISc, Bangalore, 2021

  • Pre-doctoral fellowship

    Department of Mathematics, I.I.T Madras, Jan-Mar 2021

  • Best Thesis Award 2021

    Department of Mathematics, I.I.T Madras

  • Institute research award

    I.I.T Madras, 2020

  • UGC JRF NET

    June 2016

  • Prize for the highest marks, M.Sc (2nd year) Mathematics

  • Most deserving student, M.Sc. (1st year) Mathematics

  • Prize for the highest marks, BSc(H) Mathematics (3rd year)

  • Prize for the highest marks, BSc(H) Mathematics (2nd year)

Research Interests

Dr. Shivani Goel's research interests lie in the field of Algebraic Graph Theory and Enumerative Combinatorics.

Selected Papers

2022

On resistance matrices of weighted balanced digraphs

R. Balaji

R. B. Bapat

Shivani Goel

Linear and Multilinear Algebra

2022

Steiner distance matrix of caterpillar graphs

Ali Azimi

Ravindra B. Bapat

Shivani Goel

Special Matrices

2022

On distance matrices of wheel graphs with odd number of vertices

R. Balaji

R. B. Bapat

Shivani Goel

Linear and Multilinear Algebra

2022

Resistance matrices of balanced directed graphs

R. Balaji

R. B. Bapat

Shivani Goel

Linear and Multilinear Algebra

2022

Generalized Euclidean distance matrices

R. Balaji

R. B. Bapat

Shivani Goel

Linear and Multilinear Algebra

2021

On distance matrices of helm graphs obtained from wheel graphs with an even number of vertices

Shivani Goel

Linear Algebra and its Applications

2021

An inverse formula for the distance matrix of a wheel graph with even number of vertices

R. Balaji

R. B. Bapat

Shivani Goel

Linear Algebra and its Applications

2020

Distance matrices perturbed by a Laplacian

R. Balaji

R. B. Bapat

Shivani Goel

Application of Mathematics

2020

Resistance distance in directed cactus graphs

R. Balaji

R. B. Bapat

Shivani Goel

The Electronic Journal of Linear Algebra

2023

Distance matrix of enhanced power graphs of finite groups

Anita Arora

Hiranya Kishore Dey

Shivani Goel

arXiv

Selected Professional Contributions

  • Referee for Linear Algebra and its Applications
  • Referee for Linear and Multilinear Algebra
  • Referee for Indian Journal of Pure and Applied Mathematics
  • Referee for Advances in Applied Mathematics
  • Referee for Computational and Applied Mathematics
  • Referee for IEEE Transactions on Information Theory
  • Reviewer for AMS MathSciNet Mathematical Reviews
  • Referee for Involve, a Journal of Mathematics
  • Reviewer for Zentralblatt MATH

+919043338564

infodesk@iitmz.ac.in

Bweleo, Zanzibar, Tanzania

 2023 IITM Zanzibar, All Rights Reserved

Apply NowInformation BrochureBS Sample QuestionsMTech Sample Questions