1. Full name: Lê Quang Hàm                    2. Gender: Male

3. Date of birth: 17th November 1979                 4. Place of birth: Thanh Hóa

5. Admission decision number: 4860/QD – DHKHTN, date on 24th November 2014 by Rector of VNU University of Science

6. Changes in academic process: No.

7. Official thesis title: Expanding polynomials over finite rings.

8. Major: Mathematical foundation for Computers            9. Code: 9460117.02.

10. Supervisor: Prof.Dr. Lê Anh Vinh.

11. Summary of the new findings of the thesis:

Two - variable functions. several two-variable expanders having sum - product form. 

 12. Potential applications:

These results can be applied to some areas such as incidence geometry, combinatorics, expanders, extractors, dispersers, complexity theory, pseudorandomness, property testing, hardness amplification, probabilistic checkable proofs (PCPs), and cryptography.

13. Further works: Discrete Combinatorial Geometry and Additive Combinatorics.

14. Thesis-related publications: 

• L. Q. Ham, P. V. Thang and L. A. Vinh (2017), “Conditional expanding bounds for two-variable functions over finite valuation rings”, European Journal of Combinatorics, 60(2), pp. 114-123.

 • Le Quang Ham, Nguyen Van The, Phuc D. Tran and Le Anh Vinh (2020), “On three-variable expanders over finite valuation rings”, Forum Math, 33(1), pp. 17–27.

• D. N. V. Anh, L. Q. Ham, D. Koh, M. Mirzaei, H. Mojarrad and T. Pham (2021), “Moderate Expanders Over Rings”, Journal of Number Theory, pp. 223-233.

• Dao Nguyen Van Anh, Le Quang Ham, Doowon Koh, Thang Pham and Le Anh Vinh (2020), “On a theorem of Hegyvári and Hennecart”, Pacific Journal of Mathematics, pp. 407–421.