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External Links

The views expressed on faculty and external web pages are those of the author and do not necessarily represent those of Embry-Riddle Aeronautical University.

Education

Ph.D. - Doctor of Philosophy in Mathematics, University of Oklahoma Norman Campus

Currently Teaching

MA 243: Calculus & Analytical Geom III
MA 490: Capstone Project
MA 345: Diff Equations & Matrix Method
MA 432: Linear Algebra
MA 412: Probability and Statistics

Publications

K. R. Acharya, M. McBride, " Compact linear relations and their spectral properties". Electronic Journal of Mathematical Analysis and Applications. Vol 11(1) Jan. 2023 pp 116-126.
K.R. Acharya, M. McBride, "Half line Titchmarsh–Weyl m functions of vector-valued discrete Schrödinger operators". Annals of Functional Analysis. 12, 53 (2021). https://doi.org/10.1007/s43034-021-00140
K. R. Acharya, A. Ludu "Some theory and applications of 2N-dimensional canonical systems: periodic and nonperiodic." Journal of Physics. A 54 (2021), no. 8, Paper No. 085202, 16 pp. 34L40 (34C25)
K. R. Acharya, M. McBride, "Action of complex symplectic matrices on the Siegel upper half-space", Linear Algebra and its Applications, Volume 563, 2019, Pages 47-62, https://doi.org/10.1016/j.laa.2018.10.021.
K. R. Acharya, " Titchmarsh-Weyl Theory for vector-valued discrete Schrödinger operators", Analysis and Mathematical Physics. (2018). PP 1-17, https://doi.org/10.1007/s13324-018-0277
K. R. Acharya, " A note on vector-valued discrete Schrodinger operators", Nepali Mathematical Science Report, Vol 34 (2016), no 1&2, 1-10.
K. R. Acharya, " Remling's theorem on canonical systems", Journal of Mathematical Physics. 57, 023505 (2016); http://dx.doi.org/10.1063/1.4940048
L. Lowder · A. Khalid · D.R. Ferreira · J.L. Bohannon · B. Stutzmann · M.M. Atiqullah · R. Singh · T. Yee · K. R. Acharya ·C.A. Chin · M.A. Karim · R.S. Keyser · D. Colebeck, “Student and faculty perceptions of attendance policies at a polytechnic university”, ASEE’s 122nd Annual Conference & Exposition held in Seattle, Washington on June 14-17, 2015
K. R. Acharya, “Titchmarsh-Weyl theory for canonical systems”, Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 248, pp. 1–13.
K. R. Acharya, “An Alternate Proof of the De Branges Theorem on Canonical Systems,” ISRN Mathematical Analysis, vol. 2014, pp. 1–7, 2014
K. R. Acharya, “Self-Adjoint Extension and Spectral Theory of a Linear Relation in a Hilbert Space,”ISRN Mathematical Analysis, vol. 2014, Article ID 471640, 5 pages, 2014. doi:10.1155/2014/471640

Professional Experience

2021- present, Associate Professor, Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, FL.

2015-2021, Assistant Professor, Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, FL.

2013-2015, Lecturer, Department of Mathematics, Kennesaw State University-Marietta Campus, Marietta, GA.

2007-2013, Teaching Assistant, Department of Mathematics, University of Oklahoma, Norman, OK.

2006-2007, Lecturer (Part-Time), Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal.

2001-2003, Chair, Department of Mathematics, Sainik Awasiya Mahavidhyalaya, Sallaghari, Bhaktapur, Nepal.

1998-2003, Post Graduate Teacher, Sainik Awasiya Mahavidhyalaya, Sallaghari, Bhaktapur, Nepal.

Memberships and Credentials

Member, MAA - Mathematical Association of America