Curriculum Vitae

Address

Simplice Tchamna Kouna
Georgia College & State University
Department of Mathematics
Campus Box 17
Milledgeville, GA 31061
Email: [email protected]
Office phone: 478-445-0971

Employment 

ProfessorGeorgia College & State University, August 2024 – present
Associate ProfessorGeorgia College & State University, August 2019 – July 2024
Assistant ProfessorGeorgia College & State University, August 2013 – July 2019
Grad. Teaching Assistant               New Mexico State University, August 2008 – July 2013
High School Teacher       Government High School of Bana (Cameroon), 2001 – 2008

Education

Ph.D in MathematicsNew Mexico State University, USA (2013) 
M.Sc in MathematicsThe University of Yaoundé I, Cameroon (2002)
High School Teacher DiplomaHigher Teacher Training College, Cameroon (2001)
B.Sc in MathematicsThe University of Douala, Cameroon (1998)

Thesis

Ph.D: The ideal completion of a local Noetherian domain.
Advisor: Prof. Bruce Olberding
 
Master: Generator and cogenerator in an abelian category.
Advisor: Prof. Celestin Mkuimi & Dr. Christophe Fomekong. 

Professional Memberships

  1. Member of the American Mathematical Society.
  2. Member of the Mathematical Association of America.
  3. Member of the Pi Mu Epsilon National Mathematical Honor Society.

Teaching 

Courses taught at Georgia College & State University (2013 – present)

  1. Math 4990 Senior Project
  2. Math 4989 Introduction to Research in Mathematics
  3. Math 4950 The Mathematics of gerrymandering 
  4. Math 4150 A Second course in linear algebra
  5. Math 4081 Abstract Algebra
  6. Math 3600 Linear Regression
  7. Math 3030 Foundations of Mathematics 
  8. Math 2600 Probability and Statistics 
  9. Math 2263 Calculus III
  10. Math 2150 Linear Algebra
  11. Math 1262 Calculus II
  12. Math 1261 Calculus I
  13. Math 1113   PreCalculus 
  14. Math 1001 Quantitative skills and reasoning 

Courses taught at New Mexico State University (2008 – 2013)

  1. Math 190      Precalculus
  2. Math 191      Calculus I and Analytic Geometry
  3. Math 191(L)  Practicum for Calculus I and Analytic Geometry
  4. Math 192      Calculus II and Analytic Geometry
  5. Math 291      Calculus III and Analytic Geometry
  6. Stat   251     Statistics for Business and Behavioral Sciences

Research interests

Commutative algebra, module theory and related topics  

Publications.

  1. 17. When each upper to zero is a star ideal, in Preparation.
  1. 16. Some remarks on Phi-Prufer extensions, in preparation.
  1. 15 . On the transfer properties from a ring extension R to S to ring extensions of type R+X^nS[X] to S[X], where n is a positive integer, submitted (under review)
  1. 14 On generalized star-GCD extensions (with Luc Diekouam and L. Paudel), Communications in Algebra, Vol 53, No. 2 (2025)
  1. 13. On star-Prüfer extension (with L. Paudel),  to appear in Journal of Mathematical Research, Vol. 15, No. 2 (2023)
  1. 12. On maximal non-Manis ring extensions (with L. Paudel), Contribution to Algebra and Geometry/Beitr Algebra Geom, Vol 64, No. 01 (2023).
  1. 11. An introduction du diring (with G. R. Biyogmam, J. B. Nganou), Asian-European Journal of Mathematics, Vol. 16, No. 03, 2350050 (2023)
  1. 10 Cancellation ideal of ring extensions, Algebra and Discrete Mathematics, Vol 32, No. 1 (2021)
  1. 9. Some properties of star operations on ring extensions (with L. Paudel), International Electronic Journal of Algebra, Vol. 30 (2021), pp. 99-115.
  1. 8. A study of linked star operations (with L. Paudel), Bulletin of the Korean Mathematical Society, Vol. 58, No. 4 (2021)
  1. 7. From quotient trigroups to groups (with G. R. Biyogmam, S. Tcheka), Quasigroups and Related Syst., Vol 28, No. 28 (2020)
  1. 6. A ring extension having the star-hash property,  Communications in Algebra, Vol 48, No 5 (2020)
  1. 5. Pullback diagrams and Kronecker function rings (with L. Paudel), Rocky Mountain Journal of Mathematics, Vol 49, No 7 (2019)
  1. 4. On the saturations of submodules (with L. Paudel), Algebra and Discrete Mathematics, Vol 26, No. 1 (2018)
  1. 3. Kronecker function rings of ring extension (with L. Paudel), Journal of Algebra and its Applications, Vol. 16, No.
  1. 2. Multiplicative canonical ideal of ring extensions, Journal of Algebra and its Applications, Vol. 15, No. 2 (2017).
  1. 1. The ideal completion of a Noetherian local domain, Communications  in Algebra, Vol 44, issue 8, (2016)

Selected Conference Presentations 

  1. Southern Regional Algebra Conference (March. 2023)
    “An introduction of dirings”
  1. AMS Fall Western Virtual Sectional Meeting (March. 2023)
    “An introduction of dirings”
  1. AMS Fall Western Virtual Sectional Meeting (March. 2022)
    “Some properties of star operations on ring extensions”
  1. AMS Special Session on Multiplicative Ideal Theory (March 2022)
    “A note on star Prüfer extensions”
  1. AMS Fall Western Virtual Sectional Meeting (Oct. 2021)
    “Some remarks on maximal non-Manis extensions”
  1. African Mathematics Seminar: zoom talks hosted by the University of Nairobi, Kenya  (Oct. 2021)
    “On maximal non-Manis extensions”
  1. AMS Special Session on Commutative Algebra: Fall Southeastern Virtual Sectional Meeting  (Oct. 2020)
    “Some results on star-hash property on ring extensions”
  1. AMS Special Session in Multiplicative Ideal Theory in honor of the career of William Heinzer, Purdue University, West Lafayette, Indiana (April 2020)
    Talk:
  1. Southern Regional Algebra Conference, Georgia College, Milledgeville, Georgia (March 2020)
    “A study of star-hash property for ring extensions “
  1. AMS Spring Southeastern Meeting, University of Virginia, Charlottesville, Virginia (March 2020)
    “Some proprieties of the cancellation ideals of ring extension“
  1. AMS Fall Southeastern Sectional Meeting, University of Florida, Gainesville, Florida (Nov. 2019)
    “A note on cancellation ideals”.
  1. Southern Regional Algebra Conference, Lafayette, Louisiana (April 2019)
    ” A study of linked star operations”
  1. Joint Mathematical Meeting, Baltimore, Maryland (Jan. 2019)
    “A study of m-canonical ideal”
  1. Southern Regional Algebra Conference, Mobile, Alabama (March 2017)
    Talk: “Kronecker function rings and flat epimorphic ring extension”
  1. Joint Mathematical Meeting, Atlanta, Georgia (Jan. 2017)
    “Some properties of saturations of submodules”

  1. AMS Fall Southeastern Sectional Meeting, North Carolina State University, Raleigh, North Carolina (Nov. 2016)
    “Star operations induced by saturations”
  1. Midwest Commutative Algebra Conference, Purdue University, Indiana (August 3, 2015)
    Poster: “Pullback diagrams and Kronecker function rings”.
  1. AMS Central Fall Section Meeting, University of Wisconsin-Eau Claire (Sept. 20, 2014)
    “Kronecker function ring of ring extension”
  1. Saginaw Valley State University Science Engineering & Technology Colloquium, MI (Apr. 8,2014)
    “A Noetherian local domain whose ideal completion is not Noetherian”.

  1. Southwest Local Algebra Meeting, University of Arizona, Tucson, AZ (March 2013)
    Poster: “`The construction of a local Noetherian domain whose ideal completion is not Noetherian”.
  1. AMS-MAA joint meeting, San Diego, CA (January 2013).
    Contributed talk: “Connections between the ideal completion and the m-adic completion of a Noetherian local domain.”
  1. AMS Central Section Meeting, University of Akron, OH (October 2012)
    “The ideal completion of a Noetherian local domain”.
  1. The 11th Joint NMSU/UTEP, New Mexico State University, (March 2012).
    “The linear topology on a Noetherian local domain”
  1. Southwest Local Algebra Meeting, Texas Tech University, Lubbock, TX (March 2012).
    Poster: “The completion in the Ideal Topology”

Professional Service

Reviewer for Mathscinet

Reviewer for zbmath

Referee for Communications in Algebra

Referee for the Journal of Algebra and its Applications

Referee for the Rocky Mountain Journal of Mathematics