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Dhruba R. Adhikari

Assistant Professor 
Department of Sciences and Mathematics
Mississippi University for Women 
1100 College Street, MUW-100 
Columbus, MS 39701
Ph: (662) 329-7235(office), Fax (662) 329-7238
dadhikari@as.muw.edu,
http://www2.muw.edu/~dadhikari 

Education

Teaching Experience

My experience in teaching started with teaching Mathematics, Physics, Chemistry and Statistics of high school and higher secondary school at Anand Madhyamik Higher Secondary School, Gumi, Surkhet, and Shishu Bidhya Ashram, Kathmandu in Nepal.

I also taught Basic Mathematics and Business Mathematics at Holy Vision Higher Secondary School, Tahachal, Kathmandu. In 1997, I joined Kathmandu University as a lecturer of Mathematics and Amrit Science College of Tribhuvan University as a part-time lecturer of mathematics. I have attended a number of conferences and seminars in Mathematics held at various places in the country and have given talks in mathematics seminars at Kathmandu University, Nepal. After I came to University of South Florida, I have had opportunities to teach a number of courses and conduct help session classes in mathematics. I have been teaching at Mississippi University for Women (MUW) since Fall 2007 as an assistant professor of mathematics.

For details of the courses I taught at the University of South Florida, please click here.

The following is an overview of mathematics courses I have taught at various institutions.

1. Courses I will be teaching at MUW in Spring 2010:

   * Statistics
   * Differential Equations
   * General Topology

2. Courses I have been teaching at MUW in Fall 2009:

   * Intermediate Algebra
   * Statistics
   * Precalculus
   * Boundary Value Problems

3. Summer 2009 (MUW):

   * College Algebra

4. Spring 2009 (MUW):

* College Algebra
* Statistics
* Calculus-II
* Differential Equations

5. Fall 2008 (MUW):

   * College Algebra
   * Precalculus
   * Complex Analysis

6. Summer 2008:

* College Algebra

7. Spring 2008 (MUW):

   * College Algebra
   * Calculus-I
   * Differential Equations

8. Fall 2007 (MUW):

* College Algebra
* Calculus-I

9. Courses I taught on my own at the University of South Florida (Fall 2002- Summer 2007):

   * Calculus-I
   * Calculus-III
   * Engineering Calculus -III
   * College Algebra

10. Courses I conducted help sessions on at the University of South Florida (Fall 2002- Spring 2007):

* College Algebra
* Business Calculus
* Mathematics for Liberal Arts
* Life Sciences Calculus

11. Courses I taught at Kathamandu University, Nepal (1998-2001):

    * Basic Mathematics (Trigonometry, Analytical Geometry, Vectors, Calculus)
    * Calculus for Environmental Sciences
    * Engineering Calculus
    * Complex Variables
    * Differential Equations
    * Linear Algebra

12. Courses I taught at Amrit Science College, Tribhuvan University, Kathmandu, Nepal (1997-2001):

* Integral Calculus at B.Sc. level
* Real Analysis at M.Sc. level
* Functional Analysis at M.Sc. level

13. Courses I taught at Holy Vision Internatioal Higher Secondary School, Kathmandu, Nepal (1997-2001):

    * Basic Mathematics for Sciences and Arts
    * Business Mathematics

Computer  Skills

Maple, C++, Matlab, L^AT_EX, T_EX

Research  Area

Topological Degree Theories, Operators of Monotone Type, Maximal Monotone and Accretive Operators, Operator Equations, Invariance of Domain, Eigenvalues, Non-zero Solutions, Critical Point Theory.

Research Work/Publications 

• D. R. Adhikari, A. G. Kartsatos, On the Uniqueness of Topological Degrees for Perturbed Maximal Monotone Operators, (on progress).

• D. R. Adhikari, Pseudomonotone Homotopy and Nonlinear Operator Equations Invloving Perturbed Densely Defined Linear Maximal Monotone Operators , (on progress).

• D. R. Adhikari, A. G. Kartsatos, New Topological Degree Theory for Perturbations of the Sum of Two Maximal Monotone Operators, (on progress).

• D. R. Adhikari, A. G. Kartsatos, Invariance of Domain and Eigenvalues for Perturbations of Densely Defined Linear Maximal Monotone Operators, (submitted to JDE).

• D. R. Adhikari, A. G. Kartsatos, Strongly Quasibounded Perturbations of Linear Densely Defined Maximal Monotone Operators for Berkovits-Mustonen Topological Degree Theory, J. Math. Anal. Appl. 384 (2008) 122-136.

• D. R. Adhikari, A. G. Kartsatos, Topological Degree Theories and Nonlinear Operator Equations in Banach Spaces, Nonlinear Analysis 69 (2008) 1235–1255.

• D. R. Adhikari, Applications of Degree Theories to Nonlinear Operator Equations in Banach Spaces, Ph.D. Dissertation (2007), University of South Florida, Tampa, Florida.

• D. R. Adhikari, An Existence Theorem in One-dimensional Variational Problems,
  Dissertation for postgraduate diploma (2002), ICTP, Trieste, Italy.

Presentations

1. Invariance of Domain and Eigenvalues of Perturbations of Linear Densely Defined Maximal Monotone Operators, the Eighth Mississippi State - UAB Conference on Differential Equations and Computional Simulations, Mississippi State University, May 7-9, 2008.

2. Colloquium talk on Some Topological Degree Theories and Applications, Department of Mathematics, University of Alabama at Birmingham, November 7, 2008.

3. Invited talk on Invariance of Domain and Eigenvalues of Perturbations of Linear Densely Defined Maximal Monotone Operators in Banach Spaces, Organized Session on Topological Degree Theory, Related Fields and Applications, World Congress of Nonlinear Analysts (WCNA-2008), July 2, 2008, Orlando, Florida.

4. Colloquium talk on Topological Degree Theories and Applications, Department of Mathematics and Statistics, Mississippi State University, April 23, 2008.

5. Strongly Quasibounded Perturbations of Linear
   Densely Defined Maximal Monotone Operators for Berkovits-Mustonen
   Topological Degree Theory, AMS Session on Abstract Harmonic
   Analysis and Operator Theory, II, January 8, 2008.

6. Topological Degree Theories and Nonlinear
   Operator Equations in Banach Spaces, AMS Session on Operator Theory
   and Optimal Control, II, January 8, 2007.

Awards and Scholarships

1. Certificate of Recognition for Provost's Award 2007 for Outstanding Teaching by a Graduate Teaching Assistant at the University of South Florida.

2. Outstanding Graduate Teaching Assistant leading to Departmental Nomination to the Provost's Award 2007 for Graduate Teaching Assistants at the University of South Florida.

3. Departmental teaching award 2006 to Mathematics graduate teaching assistants.
   (Each year an award is given to one or two Mathematics graduate teaching assistants at USF to recognize their excellence in teaching. This award is provided by the Department of Mathematics).

4. The Fred L. and Helen M. Tharp Scholarship (2002- 2007), University of South Florida, Tampa, FL 33620.
   (Each year, in addition to Teaching Assistantships and fellowships, outstanding graduate students selected by the department receive this scholarship.)

5. Teaching Assistantship (2002-2007), Department of Mathematics, University of South Florida, Tampa, FL 33620.

6. The Abdus Salam ICTP Scholarship (2001-2002), The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy.
   (This scholarship is given every year to only ten highly selective students from developing countries to participate in postgraduate diploma program in Mathematics at ICTP.)

7. Amrit Science Medal (1994), Amrit Science College, Tribhuvan University, Kathamndu, Nepal.
   (This award is given every year to a student obtaining the highest score in Bachelor of Science (B.Sc.) program at the college).

Workshops/Conferences Attended 

1. Eighth Mississippi State - UAB Conference on Differential Equations and Computional Simulations, Mississippi State University, May 7-9, 2008.

2. The Mathematical Association of America Louisiana/Mississippi Section 86th Annual Meeting, Mississippi College Clinton, MS, March 5 -7, 2009.

3. Fifth World Congress of Nonlinear Analysts (WCNA-2008), July 2--9, 2008, Hyatt Grand Cypress Resort, Orlando, Florida.

4. Redesign Workshop in Mathematics at the University of Mississippi, the Depot, Ole Miss, Oxford, MS, April 28, 2008.

5. Eighty Fifth Annual Meeting of Louisiana/Mississippi Section of the
   Mathematical Association of America, February 28 -- March 1, 2008, McNeese State University, Lakes Charles, Louisiana.

6. Joint Mathematics Meetings, January 6-9, 2008, San Diego, California.
   

7. Seventh Mississippi State - UAB Conference on Differential Equations and Computional Simulations, November 1-3, 2007, Birmingham, Alabama.

8. Joint Mathematics Meetings, January 5-8, 2007, New Orleans, Louisiana.
   

9. Workshop in Geometric Topology, June 2-4, 2006, Oregon State University, Oregon.

10. Joint Mathematics Meetings, January 12-15, 2006, San Antonio, Texas.

11. Conference on Additive Number Theory, November 17-20, 2004, University of Florida, Gainesville, Florida.

12. Workshop on Formal Software Specification Using RAISE, March 1-11, 2001, Kathmandu University, Nepal in collaboration with The United Nations University, International Institute for Software Technology, Macao.

13. National Seminar in Mathematics organized by World Mathematical Year 2000 National Committee Nepal, National Commission for UNESCO, Nepal in cooperation with UNESCO, New Delhi, held in Kathmandu, NEPAL, February 9 -10, 2001.