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Department of Physics
Santosh Kumar
Assistant Professor,
Department of Physics,
School of Natural Sciences
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Education Details
Ph.D., Jawaharlal Nehru University, New Delhi, 2011
M.Sc., Jawaharlal Nehru University, New Delhi, 2005
B.Sc., Vinoba Bhave University, Hazaribag, 2002

Professional Experience
Post-Doctoral Research Associate at AG Guhr, University of Duisburg-Essen, Germany, July 2011-June 2013

  • PHY 101: Introduction to Physics I
  • PHY 102: Introduction to Physics II
  • PHY 203: Introduction to Mathematical Physics I
  • PHY 204: Introduction to Mathematical Physics II
  • PHY 207: Abridged Course for Minor Physics

Research Interests
Our research is concerned with the investigation of statistical properties of complex and/or chaotic systems. The study covers topics as varied as quantum conductance in mesoscopic devices, entanglement in random pure states, transmission properties in microwave resonators, and performance of multiple antenna communication systems. The mathematical tools used for this purpose include Random Matrix Theory and Supersymmetry, which are extremely rich subjects in themselves. Consequently, development of novel tools and techniques in these and related areas is also of interest.

Selected Publications
The Probability That All Eigenvalues are Real for Products of Truncated Real Orthogonal Random Matrices, P. J. Forrester, S. Kumar, J. Theor. Probab. (2017, In Press)

On the Exact Distribution of Mutual Information of Two-user MIMO MAC Based on Quotient Distribution of Wishart Matrices, G. Pivaro, S. Kumar, G. Fraidenraich, EURASIP J Wireless Com. Network 2017: 75 (2017). doi:10.1186/s13638-017-0854-y

On the Ergodic Capacity of Distributed MIMO Antenna Systems, S. Kumar, Wireless Pers. Commun. 92, 381 (2017).

Volume of metric balls in real Grassmann manifold with an application to frames, S. Kumar, R.-A. Pitaval, L. Wei, IEEE International Symposium on Information Theory and Its Applications (ISITA), (2016), Electronic ISBN: 978-4-88552-309-0

The Correlated Jacobi and the Correlated Cauchy-Lorentz Ensembles, T. Wirtz, D. Waltner, M. Kieburg, S. Kumar, J. Stat. Phys. 162, 495 (2016).

Exact evaluations of some Meijer G-functions and probability of all eigenvalues real for the product of two Gaussian matrices, S. Kumar, J. Phys. A: Math. Theor. 48, 445206 (2015). [IOP Publisher's Pick; Interview: ]

Random matrix ensembles involving Gaussian Wigner and Wishart matrices, and biorthogonal structure, S. Kumar, Phys. Rev. E 92, 032903 (2015).

Eigenvalue Statistics for the Sum of Two Complex Wishart Matrices, S. Kumar, Europhys. Lett. 107, 60002 (2014).

Distributions of Off-Diagonal Scattering Matrix Elements: Exact Results A. Nock, S. Kumar, H.-J. Sommers and T. Guhr, Ann. Phys. 342, 103 (2014).

Distribution of Scattering Matrix Elements in Quantum Chaotic Scattering, S. Kumar, A. Nock, H.-J. Sommers, T. Guhr, B. Dietz, M. Miski-Oglu, A. Richter and F. Schäfer, Phys. Rev. Lett. 111, 030403 (2013).

Random Matrix Ensembles: Wang-Landau Algorithm for Spectral Densities, S. Kumar, Europhys. Lett. 101, 20002 (2013).

Entanglement in Random Pure States: Spectral Density and Average von Neumann Entropy, S. Kumar and A. Pandey, J. Phys. A: Math. Th. 44, 445301 (2011).

Skew-Orthogonal Polynomials and Crossover Ensembles of Random Matrices, S. Kumar and A. Pandey, Ann. Phys. 326, 1877 (2011).

Conductance Distributions in Chaotic Mesoscopic Cavities, S. Kumar and A. Pandey, J. Phys. A: Math. Th. 43, 285101 (2010).

Random Matrix Model for Nakagami-Hoyt Fading, S. Kumar and A. Pandey, IEEE Trans. Inf. Th. 56, 2360 (2010).

Jacobi Crossover Ensembles of Random Matrices and Statistics of Transmission Eigenvalues, S. Kumar and A. Pandey, J. Phys. A: Math. Th. 43, 085001 (2010).

Universal Spectral Correlations in Orthogonal-Unitary and Symplectic-Unitary Crossover Ensembles of Random Matrices S. Kumar and A. Pandey, Phys. Rev. E 79, 026211 (2009).

National and International Recognition
Reviewer for IOP, IEEE, Springer, and Wiley journals

Invited speaker at Mini Symposium of the 10th Conference on Nonlinear Systems and Dynamics (CNSD-2016), IISER Kolkata (December 2016)

Invited speaker at the workshop on "Random Product Matrices: New Developments & Applications", Bielefeld, Germany (August 2016)

Invited speaker at the "4th International Conference on Complex Dynamical Systems & Applications", NIT Durgapur, India (February 2016)

Invited speaker at the "IX Brunel-Bielefeld Workshop on Random Matrix Theory, Bielefeld", Germany (December 2013)

Invited speaker at the Langeoog conference of the Collaborative Research Center SFB/TR12 “Symmetries and universality in mesoscopic systems", Germany (February 2013)

Invited speaker at the workshop on Quantum chaos and quantum information, IIT Madras, Chennai, India (July, 2010)

CSIR-UGC fellowship, India (2005)

Gold Medalist of the M.Sc. Physics 2003-2005 batch at Jawaharlal Nehru University, New Delhi, with a grade average of 8.28 out of 9.
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