Amber Habib | Department of Mathematics

Profile

Amber Habib
Amber
Habib
Professor
Department of Mathematics
School of Natural Sciences (SNS)
A 111B
Block-A, Shiv Nadar University
Gautama Buddha Nagar Uttar Pradesh
India
91-0120-7170100
Extn: 
836
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Profile Summary 

I have served as Head of Department during 2013-22, and as Dean of Undergraduate Studies during 2015-21.

My Books:

Calculus of Finance cover image     Calculus

Wildlife in and around SNU:

Educational Qualifications 
1997
Ph.D. in Mathematics
University of California, Berkeley
1990
MS (Integrated) Mathematics
Indian Institute of Technology, Kanpur
Work Experience 
06/11Present
Professor,
Department of Mathematics, School of Natural Sciences, Shiv Nadar University, Delhi-NCR
I currently work here
07/06
06/11
Professor,
Mathematical Sciences Foundation,
Delhi
06/04
07/06
Associate Professor,
Mathematical Sciences Foundation,
Delhi
07/01
06/04
Lecturer,
St. Stephen's College,
Delhi
06/00
05/01
Visiting Scientist,
Indian Statistical Institute,
Bangalore
08/97
05/00
Visiting Fellow,
Harish-Chandra Research Institute,
Allahabad
Teaching & Research Interests: 

Apart from my regular teaching at SNU, I often participate as resident faculty in the Mathematical Training & Talent Search Programme, which is sponsored by NBHM. My Google Sites page has lecture notes and more information on my books.

I currently serve on the editorial boards of Resonance and Blackboard. I am also a member of the Programme Committee for the Annual Foundation Schools organised by the National Centre for Mathematics.

I have supervised two PhD theses:

  • Samir Kumar Hazra (2021): Extensions of Lie superalgebras and their automorphisms.
  • Charu Sharma (2021): Statistical modelling of high frequency multi-dimensional stock data with applications in risk management.

I have also supervised undergraduate and masters theses on assorted topics: Manisha Jain (Teaching Mathematics in Rural Schools), Sushil Singla (Logic), Himanshu Sharma (Lie Groups and Differential Equations), Aanchal Gupta (Cultures of Mathematics Education), Harsh Prasad (Analytic and Geometric Methods in Representation Theory), Praneet Srivastava (Kodaira Embedding Theorem), Priyanshu Ahuja (Fundamental Theorem of Asset Pricing), S Aravind (Characteristic Classes of Vector Bundles), Pranav Asrani (Equivariant Cohomology), Yash Jolly (Galois Categories).

My ResearchGate Profile

Awards(Selected): 
2014

SNU Faculty Excellence Award for Excellence in Teaching during 2011-14.

2021

SNU Outstanding Teaching Award

Scholarly Activity

Journal Articles

2021

Samir Kumar Hazra and Amber Habib, Exact sequences in the cohomology of a Lie superalgebra extension, Linear and Multilinear Algebra, 2021. DOI: 10.1080/03081087.2021.1902463

2020

The Interplay of Mathematics and Finance, Proc Indian Natn Sci Acad, 86 No. 4 December 2020 pp. 1441-1445. (An expository article)

2020

Samir Kumar Hazra and Amber Habib, Wells Exact Sequence and Automorphisms of Extensions of Lie Superalgebras, Journal of Lie Theory, Vol 30, Issue 1, pp 179--199, 2020.

2019

Charu Sharma and Amber Habib, Mutual information based stock networks and portfolio selection for intraday traders using high frequency data: An Indian market case study. PLOS ONE 14(8): e0221910. https://doi.org/10.1371/journal.pone.0221910

2001

Amber Habib, Direct limits of Zuckerman derived functor modules, Journal of Lie Theory, Vol II - No. 2.

Book

2022

Calculus, to be published by Cambridge University Press.

2022

Learning Mathematics through Modelling and Simulation: An Investigative Approach, co-authored with Jonaki Ghosh and Geetha Venkataraman, to be published by Universities Press, Hyderabad.

2019

Undergraduate Mathematics: Foundations; Ebook on basic logic, set theory and number systems; downloadable from AMS Open Math Notes.

2017

A Bridge to Mathematics, co-authored with Shobha Bagai and Geetha Venkataraman, SAGE India.

2011

The Calculus of Finance, Universities Press, Hyderabad.

Articles & Essays in Magazine and Newspaper

History in the Classroom: Area and Algebra, Issue 3 of Blackboard, the bulletin of the Mathematics Teachers' Association (India), 2021.

History in the Classroom: Approximating the Sine Function II, Issue 2 of Blackboard, the bulletin of the Mathematics Teachers' Association (India), 2019.

History in the Classroom: Approximating the Sine Function, Issue 1 of Blackboard, the bulletin of the Mathematics Teachers' Association (India), 2019.

Projects

Statistical Modelling of High Frequency Multi-dimensional Stock Data, grant from NBHM.

Book Chapters

2022

Methods of Mathematics, in Mapping Scientific Method: Disciplinary Narrations, eds. Gita Chadha and Renny Thomas, Routledge India.

2022

Indian Women and Mathematics, co-authored with Nikita Agarwal and Geetha Venkataraman, in Fifty Years of Women in Mathematics: Reminiscences, History, and Visions for the Future of AWM, eds. Janet L. Beery, Sarah J. Greenwald and Cathy Kessel, Springer.