I completed my PhD at the University of Utah, supervised by Stefan Patrikis. I was born and raised in Costa Rica, where I completed bachelor's degrees in Mathematics and Economics at University of Costa Rica.

Before coming to Utah, I was an instructor at the University of Costa Rica and worked for the research department of the Central Bank of Costa Rica.

My last name is "Serrano López". It is composed of two words without a hyphen and it should be indexed by the letter "S".

You can find more in my CV.

I work on number theory.

I am interested in elliptic curves and questions in arithmetic statistics.

Fall 2020 - Spring 2021

I was awarded another fellowship from the University of Utah. I will be designing content for MATH 3010 Topics in the History of Mathematics during Fall 2020 and you can find more details about it here.

Fall 2019 - Spring 2020

I was awarded a fellowship from the University of Utah. I will not be teaching this academic year, but I will be working on my project.

Spring 2021

Summer 2020

Summer 2019

Spring 2018

Fall 2017

Spring 2017

Fall 2016

Fall 2019

Organizer and facilitator for reading group on number theory with four undergraduate students. Weekly meetings to discuss assigned exercises and readings.

Spring 2019

I supervised an undergraduate student's graduation project through weekly meetings. The project was on computational aspects of elliptic curve cryptography.

Spring 2019

Summer 2018

One of my goals is to build a more inclusive and equitable math community. As a grad student, I have been involved in several activities like the ones listed below to achieve this goal.

## Association for Women+ in Mathematics |
## Co-founder |
## 2020 |

## Equity, Diversity, and Inclusion Committee |
## Committee member |
## 2020 - 2021 |

## Association for Women in Mathematics |
## President |
## 2020 - 2021 |

## BRIDGES Conference |
## Co-organizer |
## 2019 - 2021 |

## SACNAS Conference |
## Scholar |
## 2019 - 2021 |

## GSAC Peer Mentoring Program |
## Mentor |
## 2019 - 2020 |

## Latinos in Action |
## Academic Co-chair |
## 2015 - 2020 |

## GSAC Retention, Promotion, and Tenure |
## Committee member |
## 2018 - 2019 |

PANTS (Patrikis' Algebraic Number Theory Students) Seminar

Spring 2020 | Elliptic Curves | |
---|---|---|

January 9 | Organizational meeting | |

January 16 | Allechar | Chapter 3, The Geometry of Elliptic Curves |

January 23 | Chapter 3: 5, 8, 9, 22, 28 | |

January 30 | Hanlin | Chapter 3, The Geometry of Elliptic Curves |

February 6 | Chapter 3: 15, 16, 18, 19, 24, 32 | |

February 13 | Departmental Colloquium: A gentle approach to crystalline cohomology | |

February 20 | Christian | Chapter 4, The Formal Group of an Elliptic Curve |

February 27 | AWM-RTG Colloquium: Isolated points on curves | |

March 5 | Matthew | Chapter 5, Elliptic Curves over Finite Fields |

March 19 | Chapter 5: 6, 10, 12, 14, 15 | |

March 26 | Brian | Chapter 6, Elliptic Curves over the Complex Numbers |

April 2 | ||

April 9 | DCT | Chapter 7, Elliptic Curves over Local Fields |

April 16 | ||

April 23 | Review of group cohomology and Chapter 8, Elliptic Curves over Global Fields |

Fall 2019 | Fourier Analysis on Number Fields | |
---|---|---|

August 26 | Kevin | Introduction and Riemann Zeta Function |

September 9 September 16 |
Dylan | Chapter 4, Structure of Arithmetic Fields |

September 23 September 30 |
JJ | Chapter 5, Adeles, Ideles and the Class Groups |

October 14 | Hanlin | Chapter 6, A Quick Tour of Class Field Theory |

October 21 | Matthew | Chapter 1, Topological Groups |

October 28 November 4 |
Petar | Chapter 2, Some Representation Theory |

November 11 | Christian | Chapter 3, Duality for Locally Compact Abelian Groups |

November 18 November 25 |
Kevin | Chapter 7, Tate's Thesis and Applications |

Spring 2019 | Modular Forms |
---|

BAGELS

I was the organizer of BAGELS (B(e creative!) Algebraic Geometry Eating and Learning Seminar) during the academic year 2018-2019. The new organizer is José Ignacio Yáñez.

Department of Mathematics

155 South 1400 East, JWB 328

Salt Lake City, UT 84112 US

serrano [at] math [dot] utah [dot] edu