## UNCG Summer School in Computational Number Theory 2014

### Modular Forms and Geometry

From May 19 to May 23, 2014, the University of North Carolina at
Greensboro is hosting a summer school entitled **Modular Forms
and Geometry**.

Modular forms play an increasingly important role in number theory and arithmetic geometry. The main focus of the summer school is the study of computional aspects of modular forms and related objects. Topics may include classical modular forms and modular symbols, group cohomology and Galois representations, and lattice enumeration and isometry testing techniques to compute with spaces of modular forms for compact forms of classical groups.

On a typical day, external and local experts will give talks in the morning, and in the afternoon students will solve problems related to this material. The talks early in the week will introduce the students to the subject. Talks later in the week will cover related areas of current research and unsolved problems. The problems given to the students might be of a theoretical nature but could also involve programming problems and computer experiments. All problems will be aimed at increasing the studentsâ€™ understanding of the material by working with it.

#### Preliminary Schedule

Time | Monday 5/19 | Tuesday 5/20 | Wednesday 5/21 | Thursday 5/22 | Friday 5/23 |
---|---|---|---|---|---|

9:00 | Welcome | Coffee | Coffee | Coffee | Coffee |

9:30 | Participants: Introductions | TBA | PG | PG | TBA |

10:45 | Coffee | Coffee | Coffee | Coffee | Coffee |

11:15 | PG | TBA | TBA | TBA | TBA |

12:30 | Lunch | Lunch | Lunch | Lunch | Lunch |

14:00 | TBA | Problem Session | Excursion | Problem Session | |

15:00 | Problem Session | Problem Session | TBA | Problem Session | |

#### Local information

Information for visitors, including directions to UNCG and Petty Building. The PANTS 13 pages contain a list of local restaurants.

#### Participants

- Chad Awtrey (Elon University)
- Jeffery Hein (Dartmouth College)
- William Cocke (BYU)
- Thomas Alden Gassert (UMass)
- Brian,Hwang (Cal Tech)
- Andrew Jones (Sheffield)
- Tianyi Mao (CUNY)
- James Martin (North Texas)
- Jolanta Marzec (Bristol)
- Richard Moy (Nortwestern)
- Jesse Patsolic (Wake Forest)
- James Ricci (Wesleyan)
- Karen Taylor (Bronx Community College)
- Ka Lun (Allan) Wong (Hawaii)

##### Locals

- Ricky Farr (UNCG)
- Paula Hamby (UNCG)
- Jonathan Milstead (UNCG)
- Brian Sinclair (UNCG)

##### Speakers

- Avner Ash (Boston College)
- Paul Gunnells (UMass)
- Matt Greenberg (Calgary)

##### Organizers

- Brett Tangedal (UNCG)
- Dan Yasaki (UNCG)
- Filip Saidak (UNCG)
- Sebastian Pauli (UNCG)

#### Acknowledgements

The summer school in computational number theory is supported by UNCG, the NSA (H98230-13-1-0253), and the NSF (DMS-1303565).