**Talks will be held in Lecture Theatre 326 in the UCD Engineering and Materials Science Centre**(building number 22 on the campus map). There will be a parallel session on Monday afternoon in room 317 of the same building.

**Registration and Coffee**

8:30 - 9:00

**Morning Session**

9:00 - 9:40 **Jeremy Rouse**, "Quadratic forms representing all odd positive integers"

9:45 - 10:15 **Jim Brown**, "Katsurada's conjecture and the Ikeda ideal"

10:15 - 10:45 **Break**

10:45 - 11:15 **Mahesh Agarwal**, "On the Bloch-Kato conjecture for elliptic modular forms of square-free level"

11:20 - 11:40 **Gautam Chinta**, "Prehomogeneous vector spaces and number theory"

11:45 - 12:05 **Paul Jenkins**, "Integrality properties of Zagier lifts in level 3"

12:05 - 1:30 **Lunch**

**Afternoon Sessions**

1:30 - 1:50, room 326 **Hiroki Aoki**, "On Siegel paramodular forms of degree 2 with small levels"

1:30 - 1:50, room 317 Andrew Haddock, "Zeros of weakly holomorphic modular forms of level 4"

1:55 - 2:15, room 326 **Detchat Samart**, "Mahler measures of hypergeometric Calabi-Yau manifolds"

1:55 - 2:15, room 317 **Michael Mertens**, "Automorphism groups of hyperbolic lattices"

2:20 - 2:40, room 326 **David Thornton**, "Congruences of the Fourier coefficients of weakly holomorphic modular forms in level 4"

2:20 - 2:40, room 317 **Anilatmaja Aryasomayajula**, "Bounds on canonical Green's functions for noncompact modular curves"

2:40 - 3:10 **Break**

3:10 - 3:30, room 326 **Thomas Wieber**, "Geometrically proven structure theorems for vector valued Siegel modular forms"

3:10 - 3:30, room 317 **Tomoya Kiyuna**, "Vector-valued Siegel modular forms of symmetric tensor weight of degree eight"

3:35 - 3:55, room 326 **Jose Miguel Zapata Rolon**, "Asymptotic values of crank differences"

3:35 - 3:55, room 317 **Anthony Lazzaro**, "Modularity of k-rank difference functions"

4:00 - 4:20, room 326 **Rene Olivetto**, "On the Fourier coefficients of meromorphic Jacobi forms"

4:00 - 4:20, room 317 **Kyle Pratt**, "Interlacing of zeros of weakly holomorphic modular forms"

4:25 - 4:45, room 326 **Jesse Thorner**, "The explicit Sato-Tate conjecture and densities pertaining to Lehmer-type questions"

4:25 - 4:45, room 317 **Nava Balsam**, "Explicit formula and ranks of elliptic curves"

**Coffee**

8:30 - 9:00

**Morning Session**

9:00 - 9:40 **Abhishek Saha**, "Yoshida lifts of arbitrary level and ratios of Petersson norms"

9:45 - 10:15 Kathrin Bringmann, "Locally harmonic Maass forms"

10:15 - 10:45 **Break**

10:45 - 11:15 **Lynne Walling**, "Hecke operators on Siegel Eisenstein series of arbitrary degree"

11:20 - 11:40 **Lola Thompson**, "The sign changes of Fourier coefficients of Eisenstein series"

11:45 - 12:05 **David Yuen**, "Cusp structure of the paramodular group and applications to paramodular forms"

12:05 - 1:30 **Lunch**

**Afternoon Session**

1:30 - 1:50 **Nobuo Sato**, "On the Shintani L-function and Hecke L-function 1"

1:55 - 2:15 **Minoru Hirose**, "On the Shintani L-function and Hecke L-function 2"

2:20 - 2:40 **Ben Linowitz**, "When the product of an arbitrary number of eigenforms is again an eigenform"

2:40 - 3:10 **Break**

3:10 - 3:40 **Wenzhi Luo**, "L4-norms of the dihedral Maass forms"

3:45 - 4:05 **Sander Zwegers**, "Holomorphic projection of Jacobi forms"

4:10 - 4:30 **Jennifer Beineke**, "Summation formulas and moments of the Riemann zeta function"

4:30 - 5:30 **Panel** (topic TBA)

**Coffee**

8:30 - 9:00

**Morning Session**

9:00 - 9:40 **Winfried Kohnen**, "Conic theta functions"

9:45 - 10:15 **Masha Vlasenko**, "Apery's differential equations and elliptic curves"

10:15 - 10:45 **Break**

10:45 - 11:15 **Siegfried Boecherer**, "On vector-valued Siegel modular forms modulo p"

11:20 - 11:40 **Byungchan Kim**, "(Mock) modular forms modulo 2 or 3"

11:45 - 12:05 **Shuichi Hayashida**, "Generalized Maass relations and Miyawaki-Ikeda lifts"

12:05 - 1:30 **Lunch**

**Afternoon Session**

1:30 - 2:00 **Djordje Milisevic**, "Kloosterman sums in arithmetic progressions"

2:05 - 2:35 **Hatice Boylan**, "Jacobi forms of singular weight whose index is maximal"

2:35 - 3:05 **Break**

3:05 - 3:35 **Nils Skoruppa**, "Vector valued modular forms as Jacobi forms"

3:40 - 4:10 **Eric Hofmann**, "Borcherds products for unitary groups"

4:15 - 4:45 **Ben Kane**, "A generating function for locally harmonic Maass forms"

4:50 - 5:10 **Koji Tasaka**, "The formulas on representing integers as sums of squares"

**Coffee**

9:15 - 9:45

**Morning Session**

9:45 - 10:15 **Cormac O'Sullivan**, "Rademacher's coefficients and restricted partitions"

10:15 - 10:45 **Break**

10:45 - 11:15 **Armin Straub**, "A solution of Sun's 520 challenge concerning 520/\pi"

11:20 - 11:40 **Holly Swisher**, "Ramanujan-type supercongruences"

11:45 - 12:05 **Cetin Urtis**, "Poles of Eisenstein series and L-Functions on quaternion groups"

12:05 - 1:30 **Lunch**

**Afternoon Session**

1:30 - 2:00 **Keisuke Arai**, "Modular forms and rational points on modular curves"

2:05 - 2:25 **Dominic Lanphier**, "Non-vanishing of Rankin-Selberg L-functions inside the critical strip"

2:30 - 2:50 **Anna Haensch**, "Towards an approximation property for ternary quadratic lattices"

2:50 - 3:10 **Break**

3:10 - 3:30 **Matija Kazalicki**, "Modular parametrizations of certain elliptic curves"

3:35 - 3:55 **Jim Stankewicz**, "Twists of Shimura curves and applications"

4:00 - 5:00 **Panel** (topic TBA)