DEEPAK ARALUMALLIGE SUBBARAYAPPA
Department of Mathematics, Statistics and Physics
Wichita State University
Wichita KS 67260-0033
(316) 978-3935
deepak@math.wichita.edu
http://www.math.wichita.edu/~deepak
5900 E Mainsgate, Apt #104
Wichita KS 67220
(316) 990-3038
asdeepak@gmail.com
Summary of Qualifications:
Applied Mathematician with extensive knowledge in numerical analysis and inverse problems
for partial differential equations. I have analyzed the stability of continuity for acoustics (Helmholtz
equation) and electromagnetics (Maxwell's system). In-depth knowledge of computational acoustics
and computational electromagnetics.
Specialties:
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Numerical Analysis: Fourier methods (spherical harmonics), Finite Differences, Finite
Element Methods, Finite Volume methods and Least squares solutions.
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Mathematical Analysis: Real and functional analysis, partial differential equations, inverse
problems, inverse scattering theory, harmonic analysis and special functions.
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Software: Proficient in Matlab, C, C++ and Java.
Summer Research Experience
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Bistable Nematic Liquid Crystal Device, Mentor: Linda Cummings, Professor, New Jersey Institute of
Technology. The Sixth Annual Graduate Student Mathematical Modeling Camp, Rensselaer Polytechnic Institute,
June 9 - 12, 2009. http://www.math.wichita.edu/~deepak/Bistable%20LCD/LCD_final_report.pdf
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Examination of optimizing information flow in networks “The Dynamics of a model of a computer protocol ”
problem presented by Dr. Fern Y. Hunt, Information Technology Laboratory, MS 8910 National Institute of
Standards and Technology, Gaithersburg Maryland 25 th annual Workshop on Mathematical Problems in Industry
(MPI) at University of Delaware, June 15-19, 2009.
http://www.math.wichita.edu/~deepak/MPI%202009/NIST/mpi_nist_r9.pdf
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Problems Associated with Remotely Sensing Wind Speed, Mentor: Dr. John R. Hoffman (Lockheed Martin)
Modeling in Industry XIII - A Workshop for Graduate Students at the Institute for Mathematics and its
Applications, University of Minnesota, August 5-14, 2009. http://www.ima.umn.edu/2008-2009/MM8.514.09/activities/Hoffman-John/FinalReport.pdf
Education:
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Doctor of Philosophy in Applied Mathematics, Wichita State University
Advisor: Dr. Victor Isakov
Dissertation: Stability of continuation and obstacle problems in acoustic and electromagnetic scattering
Graduation Date: December, 2010
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Master of Science in Applied Mathematics, Wichita State University
Advisor: Dr. Victor Isakov
Thesis: Increased stability of solutions to the Helmholtz equation
Graduation Date: December, 2005
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Bachelor of Engineering in Electronics and Communication
Bangalore University, Bangalore, Karnataka, India
Graduation Date: December, 2001
Experience
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Academic Lecturer—August 2010 - Present
Department of Mathematics and Statistics, Wichita State University.
 Math 111 College Algebra, Fall 2010
 Math 112 Pre-Calculus, Spring 2011
 Math 242 Calculus I, Spring 2011
 Math 243 Calculus II, Fall 2010
 Math 344 Calculus III, Fall 2010
 Math 511 Linear Algebra, Summer 2011
 Math 555 Differential Equations, Spring 2011
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Graduate Research Assistant January 2005–July 2010
Department of Mathematics and Statistics,
Wichita State University
 Under the guidance of Dr. Victor Isakov conducted research in the field of Inverse Problems for Partial
Differential Equations, in particular Inverse Acoustic and Electromagnetic Scattering Theory.
 Investigated the stability of continuation of solutions to the Helmholtz Equation (Acoustics) and the
Maxwell’s System (Electromagnetic) using Carlemann type estimates.
 Conducted numerical experiments using Matlab to demonstrate the increased stability of solutions to the
Helmholtz Equation (Acoustics), using the simple CGNE algorithm.
 Currently working on uniqueness of obstacle in the case of Electromagnetic scattering when the given
Scattering Amplitude depends only on one incident direction but depends on a continuous set of
frequencies.
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Graduate Teaching Assistant January 2004 –July 2010
Department of Mathematics and Statistics,
Wichita State University
 Math 111 College Algebra
 Math 123 College Trigonometry
 Math 144 Business Calculus
 Math 244 Calculus I
Publications
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Aralumallige Subbarayappa, Deepak 2005 Increased stability of solutions to the Helmholtz equation, Master’s
thesis, Wichita State University. http://hdl.handle.net/10057/742
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Aralumallige Subbarayappa D and Isakov V 2007 On increased stability in the continuation of the Helmholtz
equation Inverse Problems 23 1689–1697. http://dx.doi.org/10.1088/0266-5611/23/4/019

Aralumallige Subbarayappa D and Isakov V 2010 Increasing stability of the continuation for the Maxwell’s
system, Inverse Problems 26 074005(14pp). http://dx.doi.org/10.1088/0266-5611/26/7/074005

Aralumallige Subbarayappa, Deepak 2010 Stability of continuation and obstacle problems
in acoustic and electromagnetic scattering , doctoral dissertation, Wichita State University
http://hdl.handle.net/10057/3645

Aralumallige Subbarayappa D and Isakov V 2012 Uniqueness of an electromagnetic obstacle and of Leontovich
boundary coefficient form scattering data at fixed incident direction and all frequencies, in preparation.
http://www.math.wichita.edu/~deepak/iems.pdf
Presentations
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Inverse Electromagnetic Scattering: Uniqueness of Obstacle, Kansas Section Mathematical Association of
America, May 1 - 2, 2009 at Pittsburg State University, Pittsburg, Kansas.
http://www.pittstate.edu/math/KSMAA/abstracts2009.html

Increased stability of solutions to the Helmholtz equation, In Proceedings: 2nd Annual Symposium on Graduate
Research and Scholarly Projects, April, 2006: Wichita State University, p.20-21. http://hdl.handle.net/10057/598
Extra Curricular Activities
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Lectured in graduate seminars organized by Department of Mathematics and Statistics at Wichita State University.
As a president and member of Pi Mu Epsilon organized many activities for undergraduate students.
As a newsletter editor for International Students Union (ISU) I got a chance to serve the international student
community here at Wichita State University.
References
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Dr. Victor Isakov, Distinguished Professor,
Department of Mathematics and Statistics,
Wichita State University, Wichita, KS 67260-0033
Phone: (316)978-3968, email: victor.isakov@wichita.edu
Dr. Alexandre Bukhgueim, Professor,
Department of Mathematics and Statistics,
Wichita State University, Wichita, KS 67260-0033
Phone: (316)978-3940, email: bukhgeym@math.wichita.edu
Dr. Thomas DeLillo, Professor,
Department of Mathematics and Statistics,
Wichita State University, Wichita, KS 67260-0033
Phone: (316)978-3974, email: delillo@math.wichita.edu