My Curriculum Vitae

Last updated: August 2010
          Academic Records
  • Ph.D. in Mathematics , August 2004
    Baylor University, Waco, Texas
    Thesis: Comparison of Smallest Eigenvalues and Extremal Points
    Advisor: Dr. Johnny Henderson, Professor of Mathematics
  • Graduate Diploma in Mathematics , September 1999
    International Center for Theoretical Physics, Italy
    Thesis: Representation Rings of Finite Groups
    Advisor: Dr. A. O. Kuku, Professor of Mathematics
  • M. Sc. in Mathematics , November 1997
    Tribhuvan University, Nepal
    Thesis: Special Functions
    Advisor: Dr. R. P. Manandhar, Professor of Mathematics

          Academic Experience
  • Associate Professor of Mathematics , Marshall University , Fall 2007- Present
  • Assistant Professor of Mathematics , Marshall University , Fall 2004- Summer 2007
  • Graduate Teaching Assistant , Baylor University , Fall 2002 - Summer 2004
  • Graduate Teaching Assistant , Auburn University , Spring 2000 - Summer 2002
  • Middle School Math Teacher , GEMS Boarding High School, Nepal, Jan 1998 - July 1998
  • Lecturer of Mathematics , Multi-Aim Institute, Nepal, June 1997 - December 1997
  • Middle School Science Teacher , Budhanilkantha High School, Nepal, Dec 1993 - Nov 1994

          Courses Taught
  • Assistant/Associate Professor, Marshall University

  • MTH 121 - Concepts and APplications of Mathematics(3Hrs), Spring 09,
    MTH 122 - Plane Trigonometry(3Hrs), Spring 07,
    MTH 123 - Selected Topics in College Algebra(3Hrs), Fall 04
    MTH 127 - College Algebra-Expanded Version(5Hrs), Fall 04
    MTH 130 - College Algebra(3Hrs), Spring 2006
    MTH 229 - Calculus W/ Analytic Geometry I(5Hrs), Su 05, Fall 05, Fall 06, Sp 07, Su 07, Fall 08
    MTH 230 - Calculus W/ Analytic Geometry II(4Hrs), Summer 08, Fall 08
    MTH 231 - Calculus W/ Analytic Geometry III(4Hrs), Summer 06, Spring 09
    MTH 300 - Introduction to Higher Mathematics(4Hrs), Spring 05, Fall 09
    MTH 335 - Differential Equations(4Hrs), Fall 05, Fall 06, Fall 07, Spring 10
    MTH 411 - Mathematical Modeling(3Hrs), Summer 06
    MTH 427 - Advance Calculus I(3Hrs), Fall 07
    MTH 511 - Mathematical Modeling(3Hrs), Summer 06
    MTH 527 - Advance Calculus I(3Hrs), Fall 07
    MTH 528 - Advance Calculus II(3Hrs), Spring 08
    MTH 527 - Real Variables I(3Hrs), Fall 09
    MTH 527 - Real Variables II(3Hrs), Spring 10

  • Graduate Teaching Assistant, Baylor University

  • MTH 1308 - Precalculus with Trigonometry(3Hrs), Fall 02
    MTH 1309 - Calculus for Business(3Hrs), Spring 03
    MTH 1304 - Precalculus(3Hrs), Fall 03, Spring 04

  • Graduate Teaching Assistant, Auburn University

  • MTH 1150 - Precalculus with Trigonometry(3Hrs), Spring 2000, Summer 2000
    MTH 1610 - Calculus Analytic Geometry I(4Hrs), Fall 2000, Fall 2001, Spring 2002
    MTH 1620 - Calculus Analytic Geometry II(4Hrs), Summer 2001, Fall 2001, Spring 2002
    MTH 1680 - Calculus Business Application I(4Hrs), Spring 2001, Summer 2002
    MTH 1690 - Calculus Business Application II(4Hrs), Spring 2001

  • Lecturer of Mathematics, Multi-Aim Institute, Nepal

  • Trigonometry, Differential Calculus, Integral Calculus, Vector Theory,
    Modern Geometry, Statistics and Probability


          Rsearch

      My primary research areas are Ordinary differential equations, dynamical equations on
      Time-Scales, and difference equations. Some of the problems, I have been working on,
      include Comparison of Eigenvalue Problems for different types of Boundary Value Problems,
      Uniqueness implies Existence for Boundary Value Problems, Existence Theorem using
      different Fixed Point Theorems, Existence of a Solution by Solutions matching etc.

          Publications
  • Some Results on Third-Order Multi-point Boundary Value Problems, (with B. Lawrence and O. Otunuga), Preprint, 2009
  • Existence of Positive Solutions for Multi-point Boundary Value Problems,(with B. Lawrence),
    Electronic J. of Qualitative Theory of Differ. Equ, No. 26 , (2007) 11pp.
  • An existence result for a multipoint boundary value problem on a time scale, (with B. Lawrence),
    Adv. Difference Equns., Art ID 63208, (2006) 1-8.
  • Existence of Solutions for Multipoint Boundary Value Problems for Nth Order Differential Equations, (with J.
    Henderson, J. Davis, Q. Sheng, and C.C. Tisdell), Nonliear Studies 13, No.1, (2006) 15-21.
  • Comparison of Eigenvalues for a Fourth-Order Three-Point Boundary Value Problem, (with Eric Kaufmann, and Jason
    Nobles), Electronic Journal of Qualitative Theory of Differential Equations, 15 (2005) 1-9.
  • Eigenvalue comparison for three point boundary value problems,
    Communications on Applied Nonlinear Analysis, 12(3) (2005) 83-91.
  • Existence of Solutions for Three-Point Boundary Value Problems for Second Order Equations, (with J. Henderson and
    C. Tisdell), Proceeding of the American Mathematical Society, 133 (5) (2005) 1365-1369.
  • Eigenvalue Comparisons for m-Point Boundary Value Problems,
    Communications on Applied Nonlinear Analysis, 11(1) (2004) 73-83.
  • Extremal Points for Fourth Order Boundary Value Problems,
    Mathematical Sciences Research Journal, 7 (9) (2003) 382-393.

          Talks Attended or Presented
  • Approximation Numbers and Ideals of Operators by Dr. Duane Farnsworth,
    Departmental Colloquium Talk, November 11, 2009
  • Global Stability of Complex-Valued Neural Networks on Time Scales by Dr. Suman Sanyal,
    Departmental Colloquium Talk, October 14, 2009
  • Modeling Antibiotic Resistant Bacteria by Dr. Anna Mummert,
    Departmental Colloquium Talk, February 13, 2009
  • Toward Classification of Curves: Using Computer to Find Limits of Curves by Dr. David Hyeon,
    Departmental Colloquium Talk, October 17, 2008
  • Geometry of Moduli Space of Algebraic Curves by Dr. David Hyeon, Northern Illinois University,
    Departmental Colloquium Talk, February 19, 2008
  • Reverse Mathematics: How to do Mathematics Backwards by Dr. Carl Mummert, University of Michigan,
    Departmental Colloquium Talk, February 15, 2008
  • Dimensions and Dynamics by Dr. Anna Mummert,
    Departmental Colloquium Talk, February 14, 2008
  • Signed Graphs and Their Matroids by Dr. Xiangqian Zhou, University of Mississippi,
    Departmental Colloquium Talk, April 13, 2007
  • Multifrequency Forcing of Auditory Hair Cells by Dr.Kim Montgomery, University of Utah,
    Departmental Colloquium Talk, April 10, 2007
  • Dynamic Boundary Conditions for Phase-Field Type Modules by Ciprian Gal, Morgan State University,
    Departmental Colloquium Talk, March 13, 2007
  • Nonlinear Fourier Analysis: Some Examples and Applications by Dr. Maxim Goldberg, Ramapo College,
    Departmental Colloquium Talk, March 9, 2007
  • A New Approach to Estimation of Integral Curves and Statistical Problems in Diffusion Tensor Imaging by Lyudmila Sakhanenko, Michigan State University, Departmental Colloquium Talk, March 5, 2007
  • Two Variants of the Turan Problem by Dr. Michael Ferrara, The University of Colorado at Denver,
    Departmental Colloquium Talk, February 27, 2007
  • Looking for Mr./Ms. Right (or a close approximation) by Dr. John Drost,
    Departmental Colloquium Talk, December 1, 2006
  • The 26rd Annual Southeastern Atlantic Regional Conference on Differential Equations (SEARCDE),
    October 27-28, 2006 , University of North Carolina at Greensboro, NC.
    Twenty Minute Contributed Presentation
    Title: Existence of positive solutions for multi-point boundary value problems
  • Low Level Vision through Topological Glasses by Dr. Peter Saveliev,
    Departmental Colloquium Talk, October 19, 2006
  • One-Hour Colloquium departmental talk at Marshall University, Huntington, WV, September 22, 2006
    Title: Higher order multi-point boundary value problems
  • Laplace Transforms on Time Scale by Dr. Martin Bohner, University of Missouri at Rolla ,
    Departmental Colloquium Talk, April 14, 2006
  • The 25rd Annual Southeastern Atlantic Regional Conference on Differential Equations (SEARCDE),
    October 7-8, 2005 , University of Dayton at Dayton, OH.
  • Manchester University's Contributions to Analog and Digital Computing by Dr. Arthur Porter, University of Toronto ,
    Marshall University Colloquium Talk, April 29, 2005
  • An Inverse Problem in Elasticity by Akhtar Khan, Michigan Technological University,
    Departmental Colloquium Talk, March 3, 2005
  • Mapping Class Groups by Elmas Irmak, University of Michigan,
    Departmental Colloquium Talk, February 24, 2005
  • Topological Properties of Orbit Sets for Groups of Homeomorphisms by Norah Esty, University of California - Berkeley ,
    Departmental Colloquium Talk, February 22, 2005
  • The 24rd Annual Southeastern Atlantic Regional Conference on Differential Equations (SEARCDE),
    October 22-23, 2004 , University of Tennessee at Chattanooga, TN.
  • One-hour presentation(Ph.D. Defence) at Baylor University, Waco, Texas, June 17, 2004
    Title: Comparison of Eigenvalues and Extremal Points
  • Special Session on Dynamic Equations on Time Scales: Theory and Applications, AMS Western Sectional Meeting,
    April 3-4, 2004, University of Southern California, Los Angeles Twenty Minute invited Presentation
  • One-Hour Invited talk at Marshall University, Huntington, WV, February 18, 2004
    Title: Eigenvalue Comparison for Multipoint Boundary Value Problems
  • Special Session on Time Scales at the 2004 Joint National AMS-MAA-SIAM Meetings in Phoenix, AZ Jan 7-10,04.
    Twenty Minute invited Presentation
    Title: Multipoint Boundary Value Problems on Time Scales
  • The 23rd Annual Southeastern Atlantic Regional Conference on Differential Equations (SEARCDE),
    October 17-18, 2003 , Kennesaw State University , Kennesaw, Georgia.
    Twenty Minute invited Presentation
    Title: Comparison of Eigenvalues for $m$-Point Boundary Value Problems
  • Special Session on Functional Differential Equations and Application, Southeastern Meeting of the AMS,
    Indiana University, Bloomington, Indiana, April 4-5, 2003.
    Twenty Minute invited Presentation
    Title: Eigenvalue Comparison for Three Point Boundary value Problems
  • One-hour Presentation at Baylor University, Waco, Texas January 21, 2003
    Title: Comparison Results and Extremal Points
  • The 22nd Southeastern Atlantic Regional Conference on Differential Equations,
    University of Tennessee, Knoxville, Tennessee, October 11-12, 2002

          Graduate Assistant Mentor
  • Charles Lowe, Fall 2009 - Present
  • Olusegun M. Otunuga, Fall 2007 - Summer 2009

          Master's Thesis Advisor/Committee Member
  • Grace Amusan, Thesis Committee Member, 2009
  • Olusegun M. Otunuga, Thesis Advisor, Graduated in Summer 2009
  • Xun Sun, Thesis Co-Advisor, Graduated in Summer 2008
  • Derek Sturgill, Thesis Committee Member, Graduated in Summer 2009
  • Michael Thomas, Thesis Committee Member, Not Completed
  • Keshav Pokhrel, Thesis Committee Member, Graduated in Summer 2008
  • Kelli Hall, Thesis Committee Member, Graduated in Summer 2005

          Master's Oral Exam Committee Chairperson/Member
  • Kenneth Thomas Jr., Oral Exam Committee Chairperson, Graduated in Summer 2009
  • Stacy Scudder, Oral Exam Committee Member, Graduated in Summer 2008

          Referee Services
      I have refereed one or more papers for the following journals.
  • Journal of Applied Mathematics and Computing
  • Applied Mathematics China
  • Computers with Mathematics with Applications
  • Advances in Difference Equations
  • Applied Mathematics Letters
  • International Journal of Mathematics and Computer Science
  • Communications on Applied Nonlinear Analysis
  • Mathematical and Computer Modeling
  • Journal of Mathematical Analysis and Applications
  • London Mathematical Society
  • Electronic Journal of Differential Equations
  • Linear Algebra and its Applications

          Reviewer Services
      I have reviewed the following papers for MathSciNet.
  • MR2489207 Ji, Jun; Yang, Bo Positive solutions of discrete third-order three-point right focal boundary value problems. J. Difference Equ. Appl. 15 (2009), no. 2, 185--195.
  • MR2464361 Vladimirescu, Cristian Applications of fixed point method in nonlinear analysis. Libertas Math. 28 (2008), 61--67.
  • MR2445328 Stanek, Svatoslav; Pulverer, Gernot; Weinmüller, Ewa B. Analysis and numerical simulation of positive and dead-core solutions of singular two-point boundary value problems. Comput.Math. Appl. 56 (2008), no. 7, 1820-1837.
  • MR2426822 Anderson, Douglas R. Dynamic double integral inequalities in two independent variables on time scales. J. Math. Inequal. 2 (2008), no. 2, 163--184.
  • MR2426699 Orpel, Aleksandra On the existence of bounded positive solutions for a class of singular BVPs. Nonlinear Anal. 69 (2008), no. 4, 1389--1395.
  • MR2405187 Yaslan, Ismail Multiple positive solutions for nonlinear three-point boundary value problems on time scales. Comput. Math. Appl. 55 (2008), no. 8, 1861--1869.
  • MR2391312 Henderson, J.; Ntouyas, S. K. Positive solutions for systems of nonlinear boundary value problems. Nonlinear Stud. 15 (2008), no. 1, 51--60.
  • MR2369415 El-Shahed, Moustafa Positive solutions of boundary value problems for $n$th order ordinary differential equations. Electron. J. Qual. Theory Differ. Equ. 2008, No. 1, 9 pp.
  • MR2361143 Xing, Yepeng; Ding, Wei; Han, Maoan Periodic boundary value problems of integro-differential equation of Volterra type on time scales. Nonlinear Anal. 68 (2008), no. 1, 127--138.
  • MR2361272 Shen, Wenguo Positive solutions to singular boundary value problems of a class of multi-point sublinear differential equations. J. Nat. Sci. Nanjing Norm. Univ. 9 (2007), no. 1, 9--14.
  • MR2347518 Dong, Shijie; Zhou, Haiyun Positive solutions for second-order three-point boundary value problems. Differential equations and applications. Vol. 4, 47--53, Nova Sci. Publ., New York, 2007.
  • MR2333784 Zhu, Hongbo; Yang, Dandan; Bai, Chuanzhi Positive solutions for nonlinear triple-point problems on time scales. Far East J. Appl. Math. 27 (2007), no. 2, 167--183.
  • MR2323223 Zhang, Lili; Yan, Baoqiang Positive solutions for singular initial value problems with sign changing nonlinearites depending on Y'. Func. Differ. Equ. 14 (2007), no. 2-4, 457-473.
  • MR2290033 Zhang, Guoqing; Zhang, Weiguo; Liu, Sanyang Multiplicity result for a discrete eigenvalue problem with discontinuous nonlinearities. J. Math. Anal. Appl. 328 (2007), no. 2, 1068-1074.
  • MR2273037 Zhang, Guoqing; Liu, Sanyang On a class of semipositone discrete boundary value problems. J. Math. Anal. Appl. 325 (2007), no. 1, 175-182.
  • MR2302653 Erbe, L.; Peterson, A.; Saker, S. H. Oscillation and asymptotic behavior of a third-order nonlinear dynamic equations. Can. Appl. Math. Q. 14 (2006), no. 2, 129-147.

          Professional Services
  • University Faculty Senate , member, Marshall University, Fall 2008 - Present
  • Departmental Executive Committee , member, Marshall University, Fall 2008 - Present
  • Math 127/130/132/140 Committee , Chairperson, Marshall University, Fall 2008-Present
  • Graduate Committee , member, Marshall University, Fall 2006 - Summer2008
  • Lecture/Colloquium Committee , member, Marshall University, Fall 2004 - Summer 2008
  • Tenure Track Search Committee , member, Marshall University, 2006-2007, 2007-2008
  • Math 127/130 Committee , member, Marshall University, Fall 2007- Summer 2008
  • Regional Science Olympiad , volunteer, Auburn University, 2000, 2001, 2002

          Professional Memberships
  • American Mathematical Society , member, 2000 - present
  • Mathematical Association of America , member, 2000 - 2003
  • Society for Industrial and Applied Mathematics , member, 2000 - 2003

          Awards and Honors
  • 26th SEARCDE Travel Grant , 2006
  • 24th SEARCDE Travel Grant , 2004
  • Graduate Teaching Assistantship ,Baylor University, Fall 2002 - Summer 2004
  • 23rd SEARCDE Travel Grant , 2003
  • AMS Central Section Meeting Travel Grant , 2003
  • 22nd SEARCDE Travel Grant , 2002
  • Graduate Teaching Assistantship , Auburn University, Spring 2000 - Summer 2002
  • Honorary Award , Shree Gauri Shankar High School, Nijgadh, Nepal, 1998
  • Chancellor Gold Medal , Tribhuvan University, Nepal, 1996
  • Padmaraj Gold Medal , Tribhuvan University, Nepal, 1996
  • Campus Fellowship , Tri-Chandra Campus, Nepal, 1993



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