BITS Pilani

  • Page last updated on Thursday, September 14, 2017

Department of Mathematics

Innovate. Achieve. Lead.
show more

About us

Mathematics department offers various Mathematics courses to all the engineering and science streams. Our objective is to make our students more competent, motivated engineers and scientists with a strong mathematical background. The Department of Mathematics has 14 well experienced faculty members: one Professor, four Associate Professors, nine Assistant Professors. All faculty members are doctorates from IITs and reputed Universities of India and have a track record of good research. Some faculty members have sponsored research projects funded by various government agencies. Our strength is their skills, innovation and drive. For individual faculty pages Click here.
show more

Programmes Offered

Department offers M.Sc (Mathematics), dual degree in M.Sc Mathematics with Engineering,   both part-time and full-time Ph.D programs. Currently, the department has eleven research scholars working in various research areas. The department also offers several research problems to the undergraduate students in the form of SOP, DOP and Thesis which can be completed in a semester. The department also contributes substantially towards the Work Integrated Learning Programs (WILP) of the Institute, specifically designed for the professionals working in various industries.
show more


Our faculty members participate in several academic and non-academic activities. Delivers invited lectures, presents research papers in different national and international conferences. Faculty member are also engaged in providing training to other institutes. Every year number of events and programs are being organized to enrich the knowledge and interests for Mathematics such as Guest lectures, paper presentations along with the various competitions like solving Mathematical puzzles, writing programs and codes etc. during inter-intra institutional technical events in the campus.
show more


Our faculty members are not only excellent in teaching but also active in research. They have produced more than 100 research publications in national, international peer-reviewed journals and conferences. We are also offering some research oriented projects to our students in the form of SOP, DOP, and Thesis. The faculty research areas include:
  • Computational Fluid Dynamics, Mathematical modelling of Fluid flows, Computational and Non-linear Dynamics.
  • Cosmolgy and Relativity, Dark Energy, Modified Theories of Gravity
  • Graph Theoretic Algorithms
  • Mathematical Modelling of Biological Systems, Fluid Mechanics, Financial Mathematics
  • Dynamic Optimization, Mathematical Modelling, Neural Networks 
  • Multivariate Data Analysis, Bio Statistics
  • Fluid Dynamics
  • Include Relativity, Cosmology, Dark energy, Dark matter and   Alternative Theories of Gravity
  • Pseudo-Differential Operators, Distribution Theory, Wavelet Analysis and its Applications, Digital Image Processing, Cryptography and Information Security
  • Discrete Fractional Calculus, Difference Equations, Nonlinear Analysis
  • Numerical solutions to elliptic partial differential equations,  Numerical Linear Algebra 
  • Theoretical Seismology, Elastic Wave Propagation, Solid Mechanics 
  • Topological Dynamics 
Click here to find the list of Ongoing and Completed sponsored projects.
show more


Our faculty have extensive experience in industry, research as well as teaching. Our strength is a reflection of their skills, innovation and drive. Click here for faculty profiles.

Latest News

Applications are invited from suitable candidates for Junior Research Fellow (JRF) to work on the following project sponsored by DST-SERB, New Delhi, Govt. of India under the supervision of Dr. Sumit Kumar Vishwakarma, Department of Mathematics, BITS-Pilani, Hyderabad campus. 
Click here for details. 
"The Department awarded FIST support of Rs. 49 lakhs by DST, Govt of India, for a period of 5 years". 


Dr. Sumit Kr. Vishwakarma received SERB-DST International travel grant to participate in SIAM Conference on Mathematical and Computational issues in Geosciences, Erlangen, Germany,  September 11-14, 2017.
Dr. Sharan Gopal delivered a talk titled "“Topological Dynamics and Significance of Periodic Points” at Ashoka University, Haryana on 4th April 2017. 
Dr. Sumit Kumar Vishwakarma delivered an invited talk on 'Application of MATLAB in Science and Engineering' at Amity University, Ranchi on May 30, 2017. 
Prof. P. K. Sahoo, delivered an invited talk on ""Big Rip singularity in f(R,T) gravity" at the International Conference on Mathematical Analysis and its Applications (ICMAA-2017), Dayanand Science College, Latur, Maharashtra during  March 5-9, 2017. 
Dr. Manish Kumar delivered talks on "An overview of RGB image encryption techniques" and "Image encryption using generalized heat equation associated in extended Vigenère cipher domain" in the 3rd International Conference on Mathematics and Computing (ICMC 2017) held at Harldia Institute of Technology, Haldia during January 17-21, 2017. He has also delivered a talk on “Vector Calculus and its application in Engineering” at Department of Mathematics, VIT University, Vellore on Nov 05, 2016. 
Prof. B. Mishra has been selected as a Visiting Associate of IUCAA (Inter University Centre for Astronomy and Astrophysics) for a period of three years (01.08.2016-31.07.2019). 
Prof. B. Mishra, delivered an invited talk entitled “Anisotropic Dark Energy Cosmological models”, in the National Conference on Recent Trends in Mathematics-2016, held at Tata Institute of Social Science, Tuljapur during July 15-16, 2016. 
Prof. P. K. Sahoo delivered an invited talk entitled "Big Rip singularity of LRS Bianchi type­-I universe in f(R,T) gravity" in the symposium "Frontiers in High Energy physics" at Institute of Mathematical sciences, Chennai during 22-25 March, 2016. 
Dr. A. Nemili, delivered a talk on “Discrete Adjoint based Optimal Active Separation Control on High-Lift Configurations”, 7th Symposium on Applied Aerodynamics and Design of Aerospace Vehicles (SAROD 2015) at Vikram Sarabhai Space Centre (VSSC), Thiruvananthapuram, India during Dec 2-5, 2015.
Prof. B. Mishra , delivered an invited talk entitled “ Dark Energy Cosmological Model with Hybrid Scale Factor”, International Conference on General Relativity, Department of Mathematics, S.G.B. Amravati University, Amravati during Nov. 25-28, 2015.
Prof. B. Mishra, delivered an invited talk on "Cosmological Model with Dark Energy in Scale Invariant Theory" at the International Conference on Mathematical Sciences (ICMS-2015), Department of Mathematics, S.V. University, Tirupati during Jul 13-15, 2015.
Dr. Sumit K. Vishwakarma, delivered a talk on “Rayleigh surface waves in orthotropic medium” at Harbin Engineering University, Harbin China on June 26, 2015.
Prof. A. Ramu, delivered a talk on “Similarity solution to shock waves” at the International Conference ICMBAA-2015, Department of Applied Mathematics, Aligarh Muslim University, India during June 4- 6, 2015.








Recent Research Grants

Dr. Sharan Gopal received a project from SERB-DST entitled "Characterizing the sets of periodic points of automorphisms on a solenoid", Grant Rs. 20.89 Lakhs, Duration: 2017-2020.  
Dr. Sumit Kumar Vishwakarma received a project from DST-SERB entitled "Comparison of Phase velocities of Rayleigh waves, Love waves and Torsional waves in various anisotropic geo-media", Grant Rs. 15.48 Lakhs, Duration: 2017-2020. 
Dr. Manish Kumar received a project from DST-SERB entitled "Development of an encryption algorithm for secure transmission of color images", Grant Rs. 15.08 Lakhs, Duration: 2016-2019. 
Dr. N Kishore Kumar, received a project from NBHM entitled "Spectral element methods for elliptic and parabolic interface problems in R2 on parallel computers", Grant Rs. 13.59 Lakhs, Duration: 2015-18. 
Dr. B.Mishra, received a project from SERB, DST entitled "Bianchi Type Cosmological Models in Modified Theories of Gravitation", Grant Rs.11.08 Lakhs, Duration: 2014-17. 






Conference Presentations and Foreign Visits by Faculty & Students

Dr. Sharan Gopal, presented a paper titled “Discrete Switch Dynamical Systems” at the 82nd Annual Conference of Indian Mathematical Society, during December 27-30, 2016 at University of Kalyani, Kalyani, West Bengal. He has also attended  31st Summer Conference on Topology and its Applications and presented a paper titled “A note on characterisation of sets of periodic points”, August 2 – 5, 2016 at University of Leicester, UK. 
Prof. P. K. Sahoo, visited Krakow, Poland to give an invited talk on "Kaluza-Klein dark energy model in the form of wet dark fluid in f(R,T) gravity" of the 3rd Conference of the Polish Society on Relativity” at Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, Krakow, Poland during Sep 25-29, 2016. 
Prof. B. Mishra delivered a talk entitled “Anisotropic Bianchi Type VIh Cosmological Models in modified gravity”, International Conference on Cosmology on Small Scales 2016, held at Institute of Mathematics of the Czech Academy of Sciences, Prague during 21st – 24th September, 2016. 
Prof. B. Mishra delivered a talk on “Two Fluid anisotropic dark energy cosmological model in Bianchi type V space-time” in the cosmology session of “51st Rencontres de Morindo” held at La Thuile, Aosta Valley, Italy, during March 19 -26, 2016. 
Prof. P. K. Sahoo, Visited Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, Japan to give a talk at the Yukawa International School on "Strings and Fields" on "Bianchi type string cosmological models in f(R,T) gravity" during Feb 29 -  March 04, 2016 with full funding support from Kyoto University. 
Prof. B. Mishra delivered a talk entitled “Einstein-Rosen Cosmological Model in Modified Theory of Gravity", 2nd International Conference on Mathematical Sciences and Statistics (ICMSS-2016), held at Universiti Putra Malaysia, Kuala Lumpur during Jan 26-28., 2016. 
Dr. P. K. Sahoo visited Leuven, Belgium to deliver an invited talk on "The string Theory Universe" in the 21st European Workshop at Department of Physics and Astronomy, Katholieke Universiteit, Leuven, Belgium from Sep 7-11, 2015. 
Dr. N. Kishore Kumar visited Max-planck Institute for Mathematics in the Science, Leipzig, Germany during May 18, 2015 to July 03, 2015 for research in collaboration on “tensor and decomposition”. The visit was sponsored by RIG, BITS-Pilani, Hyderabad Campus.
Dr. Sumit Kumar Vishwakarma visited Harbin engineering university, Harbin, china during May 25-July 11, 2015 for research in collaboration on “Seismic wave propagation”, The visit was sponsored by HEU, China.
Dr. Manish Kumar visited University of Central Florida, Orlando, USA during July 12-16, 2015 for research in collaboration on “Image Processing and Image Encryption”. The visit was sponsored by BITS Pilani, Hyderabad Campus.
Dr. J. Jagan Mohan attended International conference on Difference equations and applications (ICDEA 2015), Bialystok, Poland and presented the research  paper entitled “Solution of Fractional Nabla Difference Equation-Existence & Uniqueness” during July 19-25, 2015, sponsored by SERB-DST.
Dr. B. Mishra attended 8th International Conference on Industrial and Applied Mathematics (ICIAM 2015), Beijing, China and presented the research paper entitled “Pressure anisotropy and dark energy cosmological model in scale invariant theory” during August 10-14, 2015, sponsored by SERB-DST and ICIAM-2015.
Dr. P K Sahoo has attended International Congress of Mathematicians (ICM)-2014 in Seol, South Korea from Aug 13-21, 2014 and presented a paper entitled "Axially symmetric cosmological models with anisotropic dark energy".
Dr. B. Mishra visited Johannes Gutenberg Universitat, Mainz, Germany and presented the research paper entitled "Cylindrically Symmetric Cosmic Strings coupled with Maxwell Field in Bimetric Relativity" in "The String Theory of the Universe"during 22nd-26th Sep., 2014. 
Dr. P.K. Sahoo deleivered a talk entitled “Higher dimensional Bianchi type-III universe with strange quark matter attached to string cloud in general relativity” as speaker in one of the parallel session in the 20th European Workshop “The String Theory Universe” held at Johannes Gutenberg University, Mainz, Germany during Sept. 22-26, 2014.  
Dr. Sumit Kumar Vishwakarma, Assistant Professor, recently visited Department of Mathematics, College of Science, Harbin Engineering University, Harbin China (http://english.hrbeu.edu.cn/) and has started working as 'Visiting Researcher' from December 16, 2014 for the next two years.  
Click here for more details.






Picture gallery for Mathematics

Picture gallery for Mathematics

Quick Links

    An institution deemed to be a University estd. vide Sec.3 of the UGC Act,1956 under notification # F.12-23/63.U-2 of Jun 18,1964

    © 2017 Centre for Software Development,SDET Unit, BITS-Pilani, India.

    Designed and developed by fractal | ink design studios