## Department of Mathematics and Philosophy

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### Mojtaba Moniri

Department of Mathematics and Philosophy

#### Assistant Professor

**Education**:

Ph.D. in Mathematics, University of Minnesota, 1994, dissertation in Mathematical Logic, supervised by Prof. K. Prikry

M.S. in Mathematics, University of Tehran, 1988, thesis in Number Theory, supervised by Prof. A. Chademan

B.S. in Mathematics, University of Tehran, 1985, concentration in Pure Mathematics

**Contact Information**:

(309) 298-2277

462 Morgan Hall

m-moniri@wiu.edu

**Fall 2017 Office Hours:**

Monday, Wednesday & Friday: 11:10 am-12:30 pm

**Courses Taught:**

Math 100: Core Competency in Mathematics

Math 101: Basic Concepts of Mathematics (sets, logic, counting, probability, and statistics)

Math 123: Modeling with Mathematical Functions

Math 128: Precalculus Algebra

Math 129: Precalculus Trigonometry

Math 137: Applied Calculus I

Math 139: Applied Linear Algebra and Finite Mathematics

Math 280: Topics in Computer-Assisted Mathematics

Math 383: Introduction to Mathematical Modeling

Math 411: Geometry I (Euclidean and non-Euclidean)

Math 424: Advanced Linear Algebra

Math 435: Introduction to Real Variables I

**Research Interests:**

- Models of open induction, model theory of ordered fields (o-minimality, definable-completeness).
- Computable analysis and Diophantine approximations (sequences depending on a real parameter).
- Certain areas in experimental mathematics (like dealing with logistic maps and bifurcations).

**Research with students:**

I will be happy to supervise undergraduate research projects (an example is listed on the department UGR web page), and master's theses in areas of my mathematical interests, in a broader sense than the above (there are many related areas). At my former primary and secondary institutions, I advised several M.S. and Ph.D. students.

**Recent papers while working at WIU:**

**Published:**

- Arithmetic complexity of reals, in: E. Eftekhary and A. Kamalinejad (eds.), Proceedings of Third Conference on Frontiers in Mathematical Sciences, held at IPM, Tehran, Dec. 2014-Jan. 2015, IPM, Tehran, 2016, pp. 127-154.
- Near-linearity and open induction, in: P. Cegielski, A. Enayat, and R. Kossak (eds.),
- Iterations, Wolfram sequences, and approximate closed formulas, Complex Systems 26 (2017) 97-117.

**Accepted/To Appear:**

**Submitted:**

- Remarks on integer parts, and on definable completeness (8 pp.).
- A paper, joint with Saman Moniri, in the third area listed under my research interests (13 pp.).

**Papers prior to arrival at WIU (but after the Ph.D.):**

- Ghasemi, M., &
**Moniri, M**. (2006). Beatty sequences and the arithmetical hierarchy, in: Logic in Tehran, Proceedings of Workshop and Conference on Logic, Algebra, and Arithmetic, held at IPM in 2003, A. Enayat, I. Kalantari, and M. Moniri (eds.), Lecture Notes in Logic, V. 26, Association for Symbolic Logic/A.K. Peters, Wellesley, MA, pp. 126-133. - Ayat, S.M., &
**Moniri, M.**(2006). Real closed fields and IP-sensitivity, in: Logic in Tehran, Proceedings of Workshop and Conference on Logic, Algebra, and Arithmetic, held at IPM in 2003, A. Enayat, I. Kalantari, and M. Moniri (eds.), Lecture Notes in Logic, V. 26, Association for Symbolic Logic/A.K. Peters, Wellesley, MA, pp. 1-22. - Bagheri, S.M., &
**Moniri, M.**(2005). Joint embedding and amalgamation for certain classes of ordered fields.*J. Appl. Algebra Discrete Struct.**3*, 159-167 -
**Moniri, M.**& Eivazloo, J.S. (2004). Monotone complete ordered fields, generalized power series, and integer parts, in: Rings, Modules, Algebras, and Abelian Groups, Proceedings of Algebra Conference: Venezia-2002, A. Facchini, E. Houston, and L. Salce (eds.), Lecture Notes in Pure and Appl. Math., V. 236, Marcel Dekker, New York, pp. 425-429. -
**Moniri, M.**, & Eivazloo, J.S. (2003). Relatively complete ordered fields without integer parts.*Fund. Math*.,*179*, 17-25. - Eivazloo, J.S., &
**Moniri, M.**(2003). Expansions of ordered fields without definable gaps.*MLQ Math. Log. Q*.,*49*, 72-82. - Eivazloo, J.S., &
**Moniri, M.**(2002). Pathological functions on Puiseux series ordered fields and others.*Lobachevskii J. Math.*,*11*, 113-18. -
**Moniri, M.**, & Eivazloo, J.S. (2002). Using nets in Dedekind, monotone, or Scott incomplete ordered fields and definability issues, in: Proceedings of the Ninth Prague Topological Symposium, held in 2001, P. Simon (ed.), Topology Atlas (available electronically at http://at.yorku.ca/p/p/a/e/20.pdf), Toronto, ON, pp. 195-203. - Moniri, M., &
**Moniri, M.**(2002). Some weak fragments of HA and certain closure properties.*J. Symbolic Logic,**67,*91-103. - Ardeshir, M., &
**Moniri, M**. (1998). Intuitionistic open induction and least number principle and the Buss operator.*Notre Dame J. Formal Logic*,*39*, 212-220.

**Paper based on Ph.D. dissertation:**

- Recursive models of open induction of prescribed finite transcendence degree >1 with cofinal twin primes, C. R. Acad. Sci. Paris, Ser. I Math., 319 (1994) 903-908.

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