My Curriculum Vitae

          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

  • Assistant Professor of Mathematics, Marshall University, Fall 2004-present
  • 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 Professor, Marshall University

  • 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), Summer 05, Fall 05, Fall 06, Spring 07, Summer 07
    MTH 229 - Calculus W/ Analytic Geometry II(4Hrs), Summer 06
    MTH 300 - Introduction to Higher Mathematics(4Hrs), Spring 05
    MTH 335 - Differential Equations(4Hrs), Fall 05, Fall 06, Fall 07
    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

  • Graduate Teaching Assistant, Baylor University

  • MTH 1308 - Precalculus with Trignonometry(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 Trignonometry(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 mathcing etc.

          Publications
  • Existence of Positive Solutions for Multi-point Boundary Value Problems, (with B. Lawrence),
    Electronic J. of Qualitative Theory of Diff. Eqns, Accepted
  • 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
  • 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
  • One-Hour Colloquium departmental talk at Marshall University, Huntington, WV, September 22, 2006
    Title: Higher order multi-point boundary value problems
  • The 25rd Annual Southeastern Atlantic Regional Conference on Differential Equations (SEARCDE),
    October 7-8, 2005 , University of Dayton at Dayton, OH.
  • 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

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

          Reviewer Services
      I reviewed the following papers for MathSciNet.
  • 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.
  • 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.
  • 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
  • Graduate Committee, member, Marshall University, 2006 - present
  • Lecture/Colloquium Committee, member, Marshall University, 2004 - present
  • Tenure Track Search Committee, member, Marshall University, 2006-2007, 2007-2008
  • Math 127, 130 Committee, member, Marshall University, 2007-2008
  • 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 Univeristy, 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 Univeristy, 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

© Karna 2004                                           Visited 47897 since August 2004                         Updated On:  1/20/2009