Altgeld Hall
Photo courtesy of Hiram Paley.

Midwest Number Theory Conference for Graduate Students IV

October 28-29, 2006

University of Illinois at Urbana-Champaign

Department of Mathematics, Altgeld Hall

All talks are 15 minute talks with 5 minute breaks between them, and they will take place in 245 Altgeld Hall.

Saturday
09:00 Micah James A friendly introduction to class-groups of group-rings
09:20 Atul Dixit Monotonicity of quotients of theta functions
09:40 Robert C. Rhoades Selmer Groups and the Birch and Swinnerton-Dyer Conjecture via Odd Graphs
10:00 Roger Oyono Computation of non-hyperelliptic modular Jacobians of Dimension 3
10:15 Coffee Break
10:45 Mathew Rogers Identities between Mahler measures
11:05 Eric Landquist The Splitting of Primes in $K(x)[y]/(y^3 -Ay +B)$
11:25 Arsen Elkin Endomorphism algebras of hyperelliptic jacobians
11:45 Heon Kim Sign ambiguities between Gauss sums
12:05 Sharon Anne Garthwaite Mock theta functions and vector-valued Maass-Poincar\'e series
12:20 Lunch
01:50 Zhu Cao A New Proof of Winquist's Identity
02:10 Patrick Rault Counting Rational Points on Plane Curves
02:30 Mairead Greene On the Index of Cyclotomic Units
02:50 Jayce Robert Getz Hilbert modular forms with coefficients in intersection homology
03:05 Afternoon Break I
03:25 Michael A. Rose Rational Points on Moduli Spaces
03:45 Heiko Todt Asymptotic formulas for partitions into k-th powers
04:05 Michael Rowell Partition Identities arising from the Bailey Transform and Umbral Methods
04:25 Qingquan Wu Computing the unit group in bicyclic biquadratic function field
04:40 Afternoon Break II
05:00 William J. Keith Congruences for the Full Rank
05:20 Chieh-Yu Chang On algebraic relations among special zeta values in characteristic $p$
05:40 Yong Hu The order of a type of function counting integers with divisors in a given interval
06:00 Jing Hoelscher Extensions ramified only at one prime
06:30 Dinner

Sunday
09:00 Seyfi Turkelli Counting Field Extensions: Malle's Conjecture
09:20 Tim Huber Zeros of Generalized Rogers Ramanujan Series
09:40 Reinier Bröker Constructing elliptic curves in polynomial time
10:00 Samuel Kadziela p-adic uniformization of curves
10:20 Ben Kane Ternary Quadratic Forms and CM Lifts of Supersingular Elliptic Curves
10:35 Coffee Break
11:05 Andrew Shallue A Faster Algorithm for Random Dense Subset Sums
11:25 Frank Thorne Bounded gaps between products of primes with applications to elliptic curves and modular L-functions
11:45 Ben Hutz Arithmetic dynamics on a class of K3 surfaces
12:05 Andrew Vlasic A Half-Full Generalization of the Prime Number Races