Keshav Acharya

Dr. Keshav Acharya is an associate professor of Mathematics. He joined the department in 2015 after serving as a Lecturer at Kennesaw State University in Georgia.

He received his Ph.D. in Mathematics from the University of Oklahoma in 2013, where his research focused on the spectral theory of canonical systems—a key area in mathematical physics. He also holds an MSc in Mathematics from the Norwegian University of Science and Technology (NTNU) in Norway and undergraduate and graduate degrees (BA and MA) from Tribhuvan University in Nepal.

Dr. Acharya’s primary research interests are in functional analysis, operator theory and differential equations. His work often explores the intersection of pure and applied mathematics, with a particular focus on spectral theory and its applications. Dr. Acharya has contributed to the analysis of various classes of operators including Schrödinger operators, Jacobi operators and canonical systems with implications for both theoretical and applied sciences. He also actively mentors students, guiding undergraduate research projects and supporting student engagement in mathematical inquiry.

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.

1.   K. R. Acharya, A. Ludu, " Eigenfunctions of 2d dimensional Canonical Systems", Electronic Journal of Mathematical Analysis and Applications.  Vol 13 (2) July 2025
2.  S. C Mancas, K. R. Acharya, H. C.Rosu," Liouville soliton surfaces obtained using Darboux transformations", Physica Scripta 98 (7), 075227
3. 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.
4. 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
5. 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)
6. 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.
7. 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
8. K. R. Acharya, " A note on vector-valued discrete Schrodinger operators", Nepali Mathematical Science Report, Vol 34 (2016), no 1&2, 1-10. 
9. K. R. Acharya, " Remling's theorem on canonical systems", Journal of Mathematical Physics. 57, 023505 (2016); http://dx.doi.org/10.1063/1.4940048
10. 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
11. K. R. Acharya, “Titchmarsh-Weyl theory for canonical systems”, Electronic Journal of Differential Equations, Vol. 2014 (2014), No. 248, pp. 1–13.
12. K. R. Acharya, “An Alternate Proof of the De Branges Theorem on Canonical Systems,” ISRN Mathematical Analysis, vol. 2014, pp. 1–7, 2014
13. 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