Khodakhast Bibak

Welcome to my homepage!

Hi! I am a PhD student at the Department of Pure Mathematics, University of Waterloo, under the supervision of Professor Cameron Stewart. I am also a member of the Centre for Applied Cryptographic Research (CACR) at the University of Waterloo. Prior to pursuing my PhD, I obtained an MMath degree (Fall 2011-Winter 2013) at the Department of Combinatorics & Optimization, University of Waterloo, under the supervision of Professor Nick Wormald. My research interests lie in the areas of number theory, (additive) combinatorics, graph theory, and their applications especially in computer science and cryptography.

Publications

Book Chapters

1. Additive combinatorics with a view towards computer science and cryptography, Number Theory and Related Fields: In Memory of Alf van der Poorten (J. M. Borwein, I. E. Shparlinski and W. Zudilin, eds.), Springer Proceedings in Mathematics & Statistics, Vol. 43, Springer, New York, 2013, pp. 99-128; [arXiv], [chapter].

Journal Papers

2. On the determinant of bipartite graphs, Discrete Mathematics, pending revision, (2013).

3. (with H. Esfandiari, P. Salehi Nowbandegani, M. H. Shirdareh Haghighi) On the Erdős-Gyarfas conjecture in claw-free graphs, Discussiones Mathematicae Graph Theory, to appear; [arXiv], [journal].

4. (with R. Tauraso) Determinants of grids, tori, cylinders and Mobius ladders, Discrete Mathematics 313 (2013), 1436-1440; [arXiv], [journal].

5. The number of spanning trees in an (r,s)-semiregular graph and its line graph, International Journal of Quantum Chemistry 113 (2013), 1209-1212; [journal].

6. (with M. H. Shirdareh Haghighi) The number of spanning trees in some classes of graphs, Rocky Mountain Journal of Mathematics 42 (2012), 1183-1195; [journal].

7. (with I. E. Shparlinski) On fully split lacunary polynomials in finite fields, Bulletin of the Polish Academy of Sciences, Mathematics 59 (2011), 197-202; [arXiv], [journal].

8. (with M. H. Shirdareh Haghighi) Degree-equipartite graphs, Discrete Mathematics 311 (2011), 888-891; [arXiv], [journal].

9. (with M. H. Shirdareh Haghighi) Some trigonometric identities involving Fibonacci and Lucas numbers, Journal of Integer Sequences 12 (2009), Article 09.8.4; [journal].

10. (with M. H. Shirdareh Haghighi) Recursive relations for the number of spanning trees, Applied Mathematical Sciences 3 (2009), 2263-2269.

Conference Papers

11. (with M. H. Shirdareh Haghighi) Distribution of cycle lengths in graphs with minimum degree at least three, In Proceedings of the 39th Annual Iranian Mathematics Conference, Aug. 24-27, 2008, Shahid Bahonar University of Kerman, Kerman, Iran.

Problems

12. Problem # 1884, Mathematics Magazine, Vol. 84, No. 5, December 2011. [The published solution is here.]

13. Problem # 11590, American Mathematical Monthly, Vol. 118, No. 7, August-September 2011.

Conference Talks

14. (with M. H. Shirdareh Haghighi) Well-bisective graphs, International Conference IPM 20 - Combinatorics 2009, May 15-21, 2009, IPM, Tehran, Iran.

My Erdős Number and Einstein Number

My Erdős number is 3 through the link:

Paul Erdős - Carl Pomerance - Igor Shparlinski - me

Also, my Einstein number is 4 through the link:

Albert Einstein - Ernst Straus - Carl Pomerance - Igor Shparlinski - me

Teaching Experiences

I have been a TA for several courses at the Faculty of Mathematics, University of Waterloo. This term (Spring 2013) I am a TA for Math 118.

Professional Activities

I served as a proposer and marker of problems of Iranian mathematics competitions for university students, 2008-2011. The invaluable book "Iranian Mathematics Competitions, 1973-2007" (by Bamdad R. Yahaghi), presents a collection of problems appeared in these competitions, together with their solutions. A copy of this book is available here.

Contact Information

Address: Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada N2L 3G1

Office: MC 5054

Phone: (519) 888-4567 x33910

Fax: (519) 725-0160

Email: kbibak at uwaterloo dot ca, khmath at gmail dot com