## Mathematical Structures

Physics often advances when crisp mathematical structures are uncovered in a framework developed to describe observed phenomena. For example, in quantum field theory there is a vast discrepancy between the current calculational difficulty in making predictions for experiments and the simple, mathematical form of the end result. The Amplitudes program seeks to explain and exploit this surprising simplicity by reformulating the basic mathematical tools used to make predictions.

#### IGC members who study Mathematical Structures

Name | Role | Affiliation | Phone | Office Address | Affiliated Center(s) | Research Topics(s) | ||
---|---|---|---|---|---|---|---|---|

Eugenio Bianchi | Faculty | Physics | exb34@psu.edu | +1 814 865 7533 | 315 Whitmore Laboratory | CFT | Quantum Universe, Mathematical Structures, Black Holes, Loop Quantum Gravity | |

Martin Bojowald | Faculty | Physics | mob6@psu.edu | +1 814 865 3502 | 304A Whitmore Laboratory | CFT | Mathematical Structures, Loop Quantum Gravity, Quantum Universe | |

Jacob Bourjaily | Faculty | Physics | bourjaily@psu.edu | +1 814 865 7533 | 321A Osmond Laboratory | CFT | Mathematical Structures | |

Pranav Diwakar | Graduate Student | Physics | pranavd@psu.edu | +1 814 865 7533 | 204 Osmond Laboratory | CFT | Mathematical Structures | |

Patrick Donaghue | Graduate Student | Math | donaghue@psu.edu | +1 814 865 7527 | 012 McAllister | IGC | Mathematical Structures | |

Mauricio Gamonal | Graduate Student | Physics | mfg5767@psu.edu | -- | 322 Whitmore Laboratory | CFT | Loop Quantum Gravity, Quantum Universe, Mathematical Structures | |

Samarth Khandelwal | Undergraduate Student | Physics, Math | smk6968@psu.edu | N/A | N/A Osmond Laboratory | IGC, CFT | Black Holes, Dynamic Universe, Gravitational Waves, Mathematical Structures | |

Adrian Ocneanu | Faculty | Math | axo2@psu.edu | +1 814 865 4061 | 225 McAllister | CFT | Mathematical Structures | |

Kokkimidis Patatoukos | Graduate Student | Physics | kzp326@psu.edu | 814 699 1747 | 005 Osmond Laboratory | CFT | Mathematical Structures | |

Radu Roiban | Faculty | Physics | rsr10@psu.edu | +1 814 863 5811 | 320F Osmond Laboratory | CFT | Mathematical Structures | |

Ping Xu | Faculty | Math | pxx2@psu.edu | +1 814 865 3517 | 109B McAllister | CFT | Mathematical Structures | |

Yaqi Zhang | Postdoc | Physics | yjz5289@psu.edu | +1 814 865 7533 | na Osmond Laboratory | CFT | Mathematical Structures |