Arun Kumar


Faculty on Contract

Applied Mathematics
University School Of Vocational Studies & Applied Sciences
PhD Pursuing, MS in Mathematical Sciences (IISER Mohali)
Topology, Differential Geometry, Real Analysis, Linear Algebra, Algebra, Complex Analysis, Functional Analysis


Professional
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Biography

Mr. Arun Kumar is presently working as a Faculty on Contract in the Dept. of Applied Mathematics, School of Vocational Studies and Applied Sciences, Gautam Buddha University, Greater Noida, India. He is pursuing a Ph.D. in the area of cumulus parameterization in WRF-ARW model and the impact of observational data sets. He has obtained  MS degree in Mathematical Sciences from the Indian Institute of Science Education and Research (IISER), Mohali, India in 2016. He has obtained  B.Sc (Hons) in Mathematics and Computing degree from the Institute of Mathematics and Applications (IMA), Bhubaneswar, India in 2013. 

For his master’s theses he has worked on ''Ratner's Theorem on Unipotent Flow ''. In this theses he studied different versions of Ratner's Theorem and its application in number theory (Margulis Theorem). He used algebraic as well as analytic approach to prove Margulis Theorem. He gave counter examples whenever he loose the hypothesis of the Margulis Theorem. He established nice surfaces for circle and 2-torus. He always like working in diverse areas of mathematics. He is doing research on cumulus parameterization in the WRF-ARW model and reanalysis datasets with Dr. Sushil Kumar in the Department of Applied Mathematics. He sees the need of mathematics everywhere, be it simple discussion, science, religion, or the studies of the self. Even as a young boy he was skeptical enough not to accept the statement “can’t be proved” without proof.

He has cleared IIT JAM - 2013 exam and secured AIR-135. He has cleared CSIR-UGC NET - 2016 exam and secured AIR-14. He received an undergraduate National Board of Mathematics (NBHM, DAE) fellowship from 2010–2013. He has successfully completed a summer research fellowship program (SRFP) of the Indian Academy of Science (IAS). During SRFP, He worked on a project titled "A Study on Field Theory and Galois Theory".


Academics

Ph.D (Pursuing) (2019 - till date)

Topic: A study on Cumulus Parameterization in WRF-ARW Model for Numerical Simulation of Tropical Cyclones over Bay of Bengal and Impact of Observational Data Sets

 

CSIR-UGC NET (2016)

Subject: Mathematical Sciences

AIR - 14

 

MS in Mathematical Sciences (2013 - 2016)

Institute: Indian Institute of Science Education and Research, (IISER), Mohali, India.

MS Thesis Topic: A Study on Ratner's Theorem on Unipotent Flow

 

B.Sc (Hons) in Mathematics and Computing (2010 - 2013) 

Institute: Institute of Mathematics and Applications (IMA), Bhubaneswar, India. 

 

TEACHING AND RESEARCH EXPERIENCES

 

  • Faculty on Contract at the Department of Applied Mathematics, School of Vocational Studies and Applied Sciences, Gautam Buddha University, Greater Noida, India

(August 2021-Present).

  • Guest Faculty at the Department of Applied Mathematics, School of Vocational Studies and Applied Sciences, Gautam Buddha University, Greater Noida, India

(August 2017-2020).

  • Teaching Associate at the Department of Mathematics, Shiv Nadar University, Greater Noida, India

(August 2016-2017).