Education Qualification 

Postdoctoral Research Associate, Department of Mathematics, University of Delhi 

Ph.D., Department of Mathematics, University of Delhi (2019)

Thesis Title: Operator Semigroups for Delay Differential Equations

M.Sc. (Mathematics), Meerut College, Chaudhary Charan Singh University (2010)

B.Sc. (Physics, Chemistry, Mathematics), Dev Nagari College, Chaudhary Charan Singh University (2007)  

Qualified CSIR NET/JRF and GATE in Mathematics 

Teaching Experience:

Assistant Professor, Atma Ram Sanatan Dharma College, University of Delhi, July 2023 onward 

Worked as Assistant Professor in University of Delhi affiliated college prior to joining Atma Ram Sanatan Dharma College

Research Experience:

Postdoctoral Research Associate, Department of Mathematics, University of Delhi 

Senior Research Fellowship (2015-2018), Department of Mathematics, University of Delhi awarded by Council of Scientific and Industrial Research,India 

Junior Research Fellowship (2013-2015), Department of Mathematics, University of Delhi awarded by Council of Scientific and Industrial Research, India

Operator Theory, 

Asymptotic & qualitative properties of the delay differential equations via semigroup generator theory

Stability of the delay differential equation via semigroups generator theory 

Research Highlights:

Delay differential equations arise in many areas of applied mathematics, as several physical, chemical, biological and economic phenomena naturally depend not only on the present state but on some past occurrences as well.

We study qualitative and asymptotic properties of these equations with delay in abstract form. 

Functional Analysis, Algebra, Calculus,

Differential Equation, Statistics, Discrete Mathematics, Vedic Mathematics,  

Transportation & Network Flow Problem, Statistics with R, Latex  

Pappu, Shard Rastogi, and Sachi Srivastava, Eventual positivity, perturbations and delay semigroups.

Positivity 29 (2025), no. 1, 1-24. 

Shard Rastogi and Sachi Srivastava, Strong and polynomial stability for delay semigroups.

Journal of Evolution Equations 21 (2021), no. 1, 441-472.  

Shard Rastogi and Sachi Srivastava, Non-analytic growth bounds and delay semigroups.

Semigroup Forum 99 (2019), no. 3, 788-813. 

Surendra Kumar and Sharad Rastogi, The solvability and controllability of semilinear coupled wave equation. 

International Journal of Applied and Computational Mathematics 5 (2019), no. 2, 1-12. 

Sharad Rastogi, Polynomial stability and delay semigroups. 

Nonlinear Studies 25 (2018), no. 4, 911-920. 

Sharad Rastogi and Sachi Srivastava, Quasi-hyperbolicity and delay semigroups. 

Abstract and Applied Analysis (2016), 1-6.  

Participated in an international conference on Recent Advance in Operator Theory and Operator Algebras held at Indian Statistical Institute (ISI), Bangalore Centre during December 13-19, 2018. 

Participated and presented a poster titled Asymptotic Properties of Delay Semigroups in International Workshop on Recent Advances in Operator Semigroups (IWRAOS) held at Department of Mathematics, University of Delhi, Delhi during December 18-21, 2017.  

Participated in Research Scholar Seminar & Annual Conference of the Society of Mathematical Sciences (Delhi) held at Department of Mathematics, University of Delhi during May 01-02, 2017. 

Participated in an Conference on Geometry of Banach Spaces and Operator Theory held at Indian Institute of Technology Kanpur during March 26-29, 2015. 

Participated in a Research Scholar Seminar held at Department of Mathematics, University of Delhi during February 23-34, 2015. 

Participated in an International Workshop on Operator Algebras (OTOA) held at Indian Statistical Institute (ISI), Bangalore Centre during December 09-19, 2014. 

Member, Counting duties DUSU/College students' Union Election (2024-2025)

Member, Star College Scheme at Department level, DBT (GoI) (2024-25)

Member, Admission Committee of B.Sc. Physical Science Electronics/Computer Science (2024-25) 

Member, Internal Assessment Committee of B.Sc. (Honours) & B.Sc. programme course (2024-25) 

Member, Extended committee of website updation at Department level 

Member, Screening/Shortlisting committee for appointment to the post of Assistant Professor advertisement (Oct, 2023) 

Member, Counting duties DUSU/College students' Union Election (2023-2024)

Orientation Certification Program 

Four Week Faculty Induction (Orientation) Programme from 21st August --19th July 2023, organized by Teaching Learning Centre, Ramanujan College, University of Delhi under the aegis of Ministry of Education, Pandit Madan Mohan Malviya National Mission on Teachers and Teaching