**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 **

Professor | Georgia College & State University, August 2024 – present |

Associate Professor | Georgia College & State University, August 2019 – July 2024 |

Assistant Professor | Georgia 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 Mathematics | New Mexico State University, USA (2013) |

M.Sc in Mathematics | The University of Yaoundé I, Cameroon (2002) |

High School Teacher Diploma | Higher Teacher Training College, Cameroon (2001) |

B.Sc in Mathematics | The 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**

- Member of the American Mathematical Society.
- Member of the Mathematical Association of America.
- Member of the Pi Mu Epsilon National Mathematical Honor Society.

**Teaching **

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

- Math 4990 Senior Project
- Math 4989 Introduction to Research in Mathematics
- Math 4950 The Mathematics of gerrymandering
- Math 4150 A Second course in linear algebra
- Math 4081 Abstract Algebra
- Math 3600 Linear Regression
- Math 3030 Foundations of Mathematics
- Math 2600 Probability and Statistics
- Math 2263 Calculus III
- Math 2150 Linear Algebra
- Math 1262 Calculus II
- Math 1261 Calculus I
- Math 1113 PreCalculus
- Math 1001 Quantitative skills and reasoning

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

- Math 190 Precalculus
- Math 191 Calculus I and Analytic Geometry
- Math 191(L) Practicum for Calculus I and Analytic Geometry
- Math 192 Calculus II and Analytic Geometry
- Math 291 Calculus III and Analytic Geometry
- Stat 251 Statistics for Business and Behavioral Sciences

**Research interests**

Commutative algebra, module theory and related topics

**Publications**.

- 16. When each upper to zero is a star ideal,
*in Preparation*.

- 15. Some remarks on Phi-Prufer extensions,
*in preparation*.

- 14 . On generalized star-GCD extensions (with Luc Diekouam and L. Paudel), to appear in Communications in Algebra.

- 13. On star-Prüfer extension (with L. Paudel), to appear in Journal of Mathematical Research

- 12. On maximal non-Manis ring extensions (with L. Paudel), Contribution to Algebra and Geometry/Beitr Algebra Geom, Vol 64, No. 01 (2023).

- 11. An introduction du diring (with G. R. Biyogmam, J. B. Nganou), Asian-European Journal of Mathematics, Vol. 16, No. 03, 2350050 (2023)

- 10 Cancellation ideal of ring extensions, Algebra and Discrete Mathematics, Vol 32, No. 1 (2021)

- 9. Some properties of star operations on ring extensions (with L. Paudel), International Electronic Journal of Algebra, Vol. 30 (2021), pp. 99-115.

- 8. A study of linked star operations (with L. Paudel), Bulletin of the Korean Mathematical Society, Vol. 58, No. 4 (2021)

- 7. From quotient trigroups to groups (with G. R. Biyogmam, S. Tcheka),
*Quasigroups and Related Syst., Vol 28, No. 28 (2020)*

- 6. A ring extension having the star-hash property,
*Communications in Algebra, Vol 48, No 5 (2020)*

- 5. Pullback diagrams and Kronecker function rings (with L. Paudel), Rocky Mountain Journal of Mathematics, Vol 49, No 7 (2019)

- 4. On the saturations of submodules (with L. Paudel), Algebra and Discrete Mathematics, Vol 26, No. 1 (2018)

- 3. Kronecker function rings of ring extension (with L. Paudel), Journal of Algebra and its Applications, Vol. 16, No.

- 2. Multiplicative canonical ideal of ring extensions, Journal of Algebra and its Applications, Vol. 15, No. 2 (2017).

- 1. The ideal completion of a Noetherian local domain, Communications in Algebra, Vol 44, issue 8, (2016)

**Selected Conference Presentations **

- Southern Regional Algebra Conference (March. 2023)
*“An introduction of dirings”*

- AMS Fall Western Virtual Sectional Meeting (March. 2023)
*“An introduction of dirings”*

- AMS Fall Western Virtual Sectional Meeting (March. 2022)
*“Some properties of star operations on ring extensions”*

- AMS Special Session on Multiplicative Ideal Theory (March 2022)
*“A note on star Prüfer extensions”*

- AMS Fall Western Virtual Sectional Meeting (Oct. 2021)
*“Some remarks on maximal non-Manis extensions”*

- African Mathematics Seminar: zoom talks hosted by the University of Nairobi, Kenya (Oct. 2021)
*“On maximal non-Manis extensions”*

- AMS Special Session on Commutative Algebra: Fall Southeastern Virtual Sectional Meeting (Oct. 2020)
*“Some results on star-hash property on ring extensions”*

- AMS Special Session in Multiplicative Ideal Theory in honor of the career of William Heinzer, Purdue University, West Lafayette, Indiana (April 2020)

Talk:

- Southern Regional Algebra Conference, Georgia College, Milledgeville, Georgia (March 2020)
*“A study of star-hash property for ring extensions “*

- AMS Spring Southeastern Meeting, University of Virginia, Charlottesville, Virginia (March 2020)

“*Some proprieties of the cancellation ideals of ring extension*“

- AMS Fall Southeastern Sectional Meeting, University of Florida, Gainesville, Florida (Nov. 2019)
*“A note on cancellation ideals”.*

- Southern Regional Algebra Conference, Lafayette, Louisiana (April 2019)

”*A study of linked star operations”*

- Joint Mathematical Meeting, Baltimore, Maryland (Jan. 2019)
*“A study of m-canonical ideal”*

- Southern Regional Algebra Conference, Mobile, Alabama (March 2017)

Talk: “Kronecker function rings and flat epimorphic ring extension”

- Joint Mathematical Meeting, Atlanta, Georgia (Jan. 2017)
*“Some properties of saturations of submodules”*

AMS Fall Southeastern Sectional Meeting, North Carolina State University, Raleigh, North Carolina (Nov. 2016)*“Star operations induced by saturations”*

- Midwest Commutative Algebra Conference, Purdue University, Indiana (August 3, 2015)

Poster:*“Pullback diagrams and Kronecker function rings”*.

- AMS Central Fall Section Meeting, University of Wisconsin-Eau Claire (Sept. 20, 2014)
*“Kronecker function ring of ring extension”*

- Saginaw Valley State University Science Engineering & Technology Colloquium, MI (Apr. 8,2014)
*“A Noetherian local domain whose ideal completion is not Noetherian”*.

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”*.

- 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.”*

- AMS Central Section Meeting, University of Akron, OH (October 2012)
*“The ideal completion of a Noetherian local domain”*.

- The 11
^{th}Joint NMSU/UTEP, New Mexico State University, (March 2012).*“The linear topology on a Noetherian local domain”*

- 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