Galgotia College

Faculty

Dr. Vinay Gautam (Assistant Professor - Mathematics) vinay.gautam@galgotiacollege.edu

Area

Pure Mathematics

Academic Education

Ph.D.: Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad.
M.Phil: Department of Applied Mathematics, Indian School of Mines, Dhanbad
M.Sc.: R. B. S. College, Agra Affiliated to Dr. Bhim Rao Ambedkar University, Agra.
B.Sc.: R. B. S. College, Agra Affiliated to Dr. Bhim Rao Ambedkar University, Agra.

National Level Test

Qualified Graduate Aptitude Test for Engineering (GATE), 2011 & 2012.
Qualified NET (CSIR-UGC) Examination 2010 & 2011.

Courses Taught at GCET

Engineering Mathematics-1
Engineering Mathematics-2
Discrete Mathematics
Computer Based Numerical and Statistical Techniques

Research Interests

Topology, Category theory and Fuzzy Automata Theory
Theoretical Computer Science

Selected Publications

Vinay Gautam, l-valued multiset automata and l-valued multiset languges, New Mathematics and Natural Computation, 17 (2021) 175-189.
K. Singh and Vinay Gautam, Subsytems and Fuzzy Relation Equations of Fuzzy Automata Based on a Generalized Residuated Lattice, Accepted in New Mathematics and Natural Computation (2020) (DOI: 10.1142/S1793005721500307)
Vinay Gautam and S.P. Tiwari, On Categories of Automata and Languages Based on a Complete Residuated Lattice, New Mathematics and Natural Computation, 14 (2018) 423-444.
S. P. Tiwari, V. K. Yadav and Vinay Gautam, On minimal fuzzy realization for a fuzzy languages: A categorical approach, Journal of Multiple-Valued Logic and Soft Computing, 28 (2017) 361-374.
K. Sharma, Vinay Gautam, S. P. Tiwari and V. Bhattacherjee, “On fuzzy multiset regular languages”, Journal of Fuzzy Set Valued Analysis, Vol. 2017, pp. 50-61 (2017).
S. P. Tiwari and Vinay Gautam, On a category of fuzzy automata with relations, Journal of Intelligent and Fuzzy Systems, 30(6) (2016) 3301-3309.
V. K. Yadav, Vinay Gautam and S. P. Tiwari, On minimal realization of IF-languages: A categorical approach, Iranian Journal of Fuzzy Systems, 13 (2016) 19-34.
S. P. Tiwari, Vinay Gautam and M. K. Dubey, On fuzzy multiset automata, Journal of Applied Mathematics and Computing, 51(1) (2016) 643-657.
S. P. Tiwari, Vinay Gautam and Bijan Davvaz, On minimal realization for a fuzzy language and Brzozowski's algorithm, Journal of Intelligent and Fuzzy Systems, 29(5) (2015) 1949-1956,
Vinay Gautam, Vijay K. Yadav, A. K. Singh and S.P. Tiwari, On the Topological Structure of Rough Soft Sets, Rough Sets and Knowledge Technology, Lecture Notes in Computer Science, 8818 (2014) 39-48.

Reviewer

IEEE Transaction of Fuzzy Systems
Iranian Journal of Mathematical Sciences and Informatics
International Journal of Machine Learning and Cybernetics (Springer).
International Journal of General Systems(Taylor and Francis)

Work in Progress

Related Research in Progress.

Academic Experience

Assistant Professor in Galgotias College of Engineering and Technology, Greater Noida (August-2016 onwards).

NPTEL/COURSERA Courses

Online Course on Teaching and Learning in Engineering (TALE) offered by NPTEL , May 16, 2019.
Online course on Introduction to Calculus authorized by The University of Sydney and offered through Coursera, May 21, 2020.
Online course on Introduction to Ordinary Differential Equations authorized by Korea Advanced Institute of Science and Technology(KIAST) and offered through Coursera, June 22, 2020
Online course on Differential Equations for Engineers authorized by The Hong Kong University of Science and Technology and offered through Coursera, June 25, 2020
Online course on Matrix Algebra for Engineers authorized by The Hong Kong University of Science and Technology and offered through Coursera, July 09 2020.

OUTREACH PROGRAMMES

Co-Conveners, International Conference on Frontiers in Industrial and Applied Mathematics, December 21-22, 2019 (FIAM-2019).
International Committee Member, International Conference on Big Data and Informatization Education (ICBDIE2020) will be held on April 24-26, 2020 in Zhangjiajie, China.
Coordinator, National e-Quiz on Engineering Mathematics, June 08-11, 2020
Organizer, National Webinar on Tourism in Space: A Mathematical Overview, September 03, 2020.

CONFERENCES/SYMPOSIUM/WORKSHOP

Participated in IEEE Sponsored International Workshop on "Useful Mathematical and Statistical Software Tools for Engineering Applicationsat Department of Mathematics, Jaypee Institute of Information Technology, Noida during September 8–9, 2017.
Oral Presentation entitled “On fuzzy multiset automata” in the International Conference on Optimization, Computing and Business Analysis for Sustainable Development (ICOCBASD-2015)at Rajasthan, Ajmer, India during February 20-22, 2015.
Participated in One Week Faculty Development Program on ‘Ethics of Sustainable Technologies in Energy and Environment’organized by Department of Applied Sciences, Galgotias College of Engineering and Technology, Gautam Buddha Nagar during May 07-11, 2018.
Participated in Eight-day Faculty Development Program on ‘Universal Human Values and Professional Ethics’organized by TEQIP-III and Conduct by Value Education Cell, AKTU, Lucknow at Noida Institute of Engineering and Technology, Gautam Buddha Nagar during December 19-26, 2017
Participated in Research Scholar Meet (RSM-2014)organized by Department of Applied Mathematics, Indian School of Mines, Dhanbad on Feb 28, 2014
Participated in 80th Annual Conference of the Indian Mathematics Societyat Department of Applied Mathematics, Indian School of Mines, Dhanbad during December 27–30, 2014
Participated in Workshop on Mathematical Methods and Astronomy (WMMA)organized by Department of Applied Mathematics, Indian School of Mines, Dhanbad during 07-09 Feb, 2013
Participated in Recent Advances in Mathematics and its Applications (RAMA-2013)organized by Department of Applied Mathematics, Indian School of Mines, Dhanbad during Feb 14-16 2013
Participated in ATM workshop ‘ISL TOPOLOGY’organized by Kumaun Univerisity, Almora, Uttarakhand during September 30- October 12 2013

Academics

Civil Engineering (CE)

Computer Science and Engineering (CSE)

Electronics & Communication Engineering (ECE)

Electrical Engineering (EE)

Electrical & Electronics Engineering (EEE)

Information Technology (IT)

Mechanical Engineering (ME)

Applied Sciences

Humanities

First Year Academics

Management Studies

Computer Applications

Updates

Department of Applied Science is organizing an International Conference on Innovation and Application in Science & Technology (ICIAST-2021) during December 21-23, 2021. Conference Website:https://iciast.in/
B.Tech. Program of "Mechanical Engineering" and "Electronics & Communication Engineering" is further accredited by NBA till 2023-2024 session (30-06-2024).