| Date | Speaker(s) | Title |
| 15 Jan 2009 | Robert Vaughan, Penn State University | On sums of squares and cubes |
| 22 Jan 2009 | Yuri Zarhin, Penn State University | Families of hyperelliptic jacobians without complex multiplication |
| 29 Jan 2009 | James Sellers, Penn State University | Recent arithmetic results related to m-ary partition functions |
| 5 Feb 2009 | Mark Watkins, University of Sydney | Computations with L-functions, and rank 4 twists |
| 12 Feb 2009 | Ae Ja Yee, Penn State University | Parity problems in parittions |
| 19 Feb 2009 | Ed Formanek, Penn State University | Two Combinatorial Problems in Ring Theory |
| 26 Feb 2009 | Doug Ulmer, University of Arizona | On Mordell-Weil groups of abelian varieties over function fields |
| 5 Mar 2009 | Robert Vaughan, Penn State University | The Montgomery-Hooley Theorem and its generalizations |
| 19 Mar 2009 | Alina Cojocaru, University of Illinois at Chicago | The Koblitz conjecture on average |
| 26 Mar 2009 | Marker Lecturer Martin Bridson | No Seminar |
| 2 Apr 2009 | Kagan Kursungoz, Penn State University | $k$-Marked Durfee Symbols and Ramanujan's Mock Theta Functions |
| 9 Apr 2009 | Lizhen Ji, University of Michigan | Arithmetic groups vs. mapping class groups: similarities and differences |
| 16 Apr 2009 | Daniel Panario, Carleton University, Ottawa | Counting Polynomials over Finite Fields: Random Properties and Algorithms |
| 23 Apr 2009 | William Banks, University of Missouri | On Carmichael and Giuga numbers |
| 30 Apr 2009 | Hugh Montgomery, University of Michigan | Half the primes have an odd number of 1's in their binary expansion |
| 27 Aug 2009 | Organisational meeting | To Be Announced |
| 3 Sep 2009 | William Waterhouse, Penn State University | Square root as a homomorphism |
| 10 Sep 2009 | Jeff Achter, Colorado State University | Split reductions of simple abelian varieties |
11 Sep 2009 11:15am - 12:05pm | Rachel Pries, Colorado State University | Alternating group covers of the affine line and Abhyankar's Inertia Conjecture |
| 17 Sep 2009 | Maosheng Xiong, Penn State University | Statistics for zeros of zeta functions in a family of curves |
| 24 Sep 2009 | Scott Parsell, West Chester University | The "large moduli" estimate for Weyl sums |
| 1 Oct 2009 | Xander Faber, McGill University | Prime factors of dynamical sequences |
| 8 Oct 2009 | Ming-hsuan Kang, Penn State University | Zeta functions of Complexes arising from PGL(n) |
| 15 Oct 2009 | Robert Vaughan, Penn State | The metric theory of diophantine approximation |
| 22 Oct 2009 | Xiang-dong Hou, South Florida University | Reversed Dickson Polynomials and Related Polynomials |
| 29 Oct 2009 | Matt Papanikolas, University of Texas | Special values of Goss L-functions and log-algebraicity |
| 5 Nov 2009 | Abrus Pal, Imperial College, London | Uniform boundedness in arithmetic dynamics |
| 12 Nov 2009 | Lenny Taelman, University of Leiden | A Dirichlet Unit Theorem for Drinfeld modules |
| 19 Nov 2009 | Robert Vaughan, Penn State University | Some additive problems |
| 26 Nov 2009 | Mr Turkey | Thanksgiving |
| 3 Dec 2009 | Roger Plymen, University of Manchester | Geometric structure in the representation theory of p-adic SLN |
| 10 Dec 2009 | Chantal David, IAS Princeton | Statistics for the traces of cyclic p-covers of curves over finite fields |