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| School of Mathematics, Statistics and Computer Science |
| Department of Mathematics |
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Vivek Kumar Jain D.Phil (Mathematics, University of Allahabad) |
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Assistant Professor |
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vkj@cub.ac.in; jaijinenedra@gmail.com |
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Areas of Expertise/Research interest: Group Theory |
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Former Post-Doctoral Fellow at Harish-Chandra Research Institute, Allahabad; publications include in journals such as Communications in Algebra (2008); International Journal of Algebra (2009); Archiv Der Mathematics (2010); invited and attended the International Workshop on ‘Algorithmic problems in group theory and related areas’, Novosibirsk, Russia (July 27 - August 7, 2010) and gave a talk on “Order structure of finite Nilpotent groups” based on the earlier research paper "On odd order Nilpotent groups with class 2" published in Archiv Der Mathematics (2010). |
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Rajesh Pratap Singh PhD (Mathematics, IIT Guwahati) |
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Assistant Professor |
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rpsingh@cub.ac.in |
r.praataap@gmail.com |
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Areas of Expertise/Research interest: Finite fields and Cryptography. |
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Completed doctorate from Department of Mathematics, Indian Institute of Technology Guwahati in 2010 (PhD Thesis Title: “Permutation Polynomials and Their Applications in Cryptography”); worked as NBHM Post-Doctoral Fellow at Stat-Math Unit, Indian Statistical Institute, Kolkata. Journal publications include: Journal of Mathematical Cryptology (2011); International Journal of Network Security and its Applications (2010); Applicable Algebra in Engineering Communication and Computing (under revision). |
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Jitendra Singh M.Phil, PhD (Mathematics, IIT-BHU, Varanasi) |
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Assistant Professor |
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jitendrasingh@cub.ac.in |
jitendra.singh.rs.apm@itbhu.ac.in |
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Areas of Expertise/Research interest: Moving Boundary Problem, Fractional Calculus Mathematical Modelling |
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Completed doctorate from Department of Applied Mathematics, Indian Institute of Technology, Banaras Hindu University, Varanasi in 2012 (Ph.D Thesis Title: “Study on Mathematical Modelling of Moving Boundary Problem Arising in Engineering Sciences”)
Publication:
1. Jitendra Singh, Praveen Kumar Gupta, K. N. Rai, “Variational Iteration Method to Solve Moving Boundary Problem with temperature dependent physical properties”, in Int. J. Thermal Science, 15 (2011) 229-239.
2. Jitendra Singh, Praveen Kumar Gupta, K. N. Rai, “Homotopy Perturbation Method to
Space-time fractional solidification in a finite slab”, Int. J. Applied Mathematical
Modeling 35 (2011) 1937-1945.
3. Jitendra Singh, Praveen Kumar Gupta, K. N. Rai, “Solution of Fractional Bio Heat equations by Finite Difference Method and HPM, Mathematical and Computer Modelling, 54 (2011) 2316-2325.
4. Praveen Kumar Gupta, Jitendra Singh, K. N. Rai, “Numerical Simulation for Heat
Transfer in tissues during Thermal therapy”, Journal of Thermal Biology, 35 (2010)
295-301. |
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Roushan Kumar PhD (Generalized Thermoelasticity, IIT BHU Varanasi) |
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Assistant Professor |
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roushankumar@cub.ac.in |
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Areas of Expertise/Research interest: Generalized thermoelasticity, Generalized thermoelasticity Diffusion, Wave Propagation. |
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Publication:
1. S. Mukhopadhyay and Roushan Kumar, “A problem on thermoelastic interaction in an infinite medium with cylindrical hole in generalized thermoelasticity III”, J. Thermal Stresses, 31 (2008), pp 452-472.
2. S. Mukhopadhyay and Roushan Kumar, “A study of generalized thermoelastic interaction in an unbounded medium with spherical cavity” , Computers and Mathematics with Applications, 56 (2008), pp 2329-2339
3. S. Mukhopadhyay and Roushan Kumar, “Thermoelastic interaction on two temperature generalized thermoelasticity in an infinite medium with cylindrical cavity”, J. Thermal Stresses 32 (2008), 341-360
4. S. Mukhopadhyay and Roushan Kumar, “A problem on termoelastic interaction in an infinite medium with a cylindrical cavity”, Proceeding of Mathematical Society, BHU (2008).
5. Roushan Kumar and S. Mukhopadhyay ,”Effects of three phase lags on generalized thermoelasticity for an infinite medium with a cylindrical cavity” J. Thermal Stresses 32 (2009), 1149–1165, |
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Shubh Narayan Singh PhD (Mathematics, IIT Guwahati) |
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Assistant Professor (Contract) |
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shubh@cub.ac.in |
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Areas of Expertise/Research interest: Algebraic Automata Theory, Graph Theory, Group and Semigroup Theory |
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Publications:
•Shubh Narayan Singh and K.V. Krishna. A Sufficient Condition for the Hanna Neumann Property of Submonoids of a Free Monoid, Semigroup Forum, To appear (2012). DOI: 10.1007/s00233-012-9449-4, arXiv: 1112.4256.
•Shubh Narayan Singh and K.V. Krishna. The rank and Hanna Neumann property of some submonoids of a free monoid, Ann. Math. Inform. , 40,113-123,2012. ArXiv:1112.4250
Contributed Talks:
Shubh Narayan Singh and K.V. Krishna. On the Rank of the Intersection of Two Submonoids of a Free Monoid at the International Conference A^3: Abstract Algebra and Algorithms Conference, Eger, Hungary, August 14-17, 2011.
Preprints:
•Shubh Narayan Singh and K.V. Krishna. Holonomy Decomposition of Circular Semi-Flower Automata.
• Shubh Narayan Singh and K.V. Krishna. Syntactic Complexity of Circular Semi-Flower Automata.
• Shubh Narayan Singh and K.V. Krishna. L-Primitive Words in Submonoids.
Awards:
• CSIR-UGC JRF & SRF
• GATE
Courses taught:
•January - May, 2013: MTH 624/CS 530 Theory of Computation (M.Sc. Mathematics / Computer Science)
•January - May, 2013: MTH 526 Real Analysis - II (M. Sc. Mathematics)
•July - December, 2012: MTH 501 Real Analysis (M.Sc. Mathematics)
•July - December, 2012: CSC 504 Mathematical Foundation (M. Sc. Computer Science) |
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