## Omran Ahmadi

##### Associate Professor

**☏**(+98-21) 2310 ext. 2266

**🖷**(+98-21) 22290648

### Education

PhD, University of Waterloo, 2006### Research Field

Number Theory### Research Interests

My research interests include Number Theory, Arithmetic Geometry, Cryptography, and Combinatorics; more specifically: Distribution of points on algebraic sets and varieties; Exponential and character sums; Curve based cryptography; Efficient implementation of arithmetic of cryptographic systems; Algebraic graph theory; Sparse polynomials over finite fields.

### Publications

- A note on the stability of trinomials over finite fields, ,
Finite Fields and Their Applications, 63
**(2020)**,*(joint with K. M. Shokri)*. - On isogeny graphs of supersingular elliptic curves over finite fields,
Finite Fields and Their Applications, 55
**(2019)**, 268-283,*(joint with G. Adj and A. Menezes)*. - Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients,
Finite Fields and Their Applications, 42
**(2016)**, 128-164,*(joint with F. Gologlu, R. Granger, G. McGuire and E. Yilmaz).* - Sets with many pairs of orthogonal vectors over finite fields,
Finite Fields and Their Applications, 37
**(2016)**, 179-192,*(joint with A. Mohammadian)*. - Decomposing jacobians of curves over finite fields in the absence of algebraic structure,
Journal of Number Theory, 156
**(2015)**, 414-431,*(jont with G. McGuire and A. Rojas Leon)*. - Curves over finite fiels and linear recurring sequences,
Surveys in Combinatorics,
**(2015)**, 195-220,*(joint with G. McGuire)*. - Exponential sums over points of elliptic curves,
Journal of Number Theory, 140
**(2014)**, 299-313,*(joint with I. Shparlinski)*. - An efficient deterministic test for Kloosterman sum zeros,
Mathematics of Computation, 83
**(2014)**, 347-363,*(joint with R. Granger)*. - Weight distribution of irreducible polynomials over finite fields,
in Handbook of Finite Fields and their Applications, CRC Press,
**(2013)**. - On isogeny classes of Edwards curves over finite fields,
Journal of Number Theory, 132 (6)
**(2012)**, 1337-1358,*(joint with R. Granger)*. - On stable quadratic polynomials,
Glasgow Mathematical Journal, 54
**(2012)**, 359-369,*(joint with F. Luca, A. Ostafe and I. Shparlinski)*. - Generalization of a theorem of Carlitz,
Finite Fields and their Applications, 17 (5)
**(2011)**, 473-480. - More publications

### Links

Papers on ArxivGoogle Scholar Profile