|Address:|| Department of Mathematics|
University of California, Santa Barbara
South Hall, Room 6511
Santa Barbara, CA 93106
|Email:||castella at ucsb dot edu|
I am an Associate Professor in the Department of Mathematics at UCSB.
Previously, I was an Instructor at Princeton University, and before that, a Hedrick Assistant Professor at UCLA. Here is my CV (last updated: August 2023).
My research is partially supported by the NSF grant DMS-2101458.
Seminar on Geometry and Arithmetic
Research Interests: Number Theory and Arithmetic Geometry.
More specifically: p-adic L-functions, Euler systems and Iwasawa theory.
Note: Preprints posted here (click on title) may be more up to date than the arXiv versions.
|Fall 2022 Math CS 120: Number Systems|
|Winter 2021 Math 220B: Modern Algebra II|
|Fall 2021 Math 4A: Linear Algebra with Applications|
|Spring 2021 Math 225C: Topics in Number Theory: Rational Points on Elliptic Curves|
|Winter 2021 Math 225B: Topics in Number Theory: Introduction to Elliptic Curves|
|Winter 2021 Math 111B: Abstract Algebra II|
|Fall 2020 Math 8: Transition of Higher Mathematics|
|Spring 2020 Math 220C: Modern Algebra III|
|Winter 2020 Math 220B: Modern Algebra II|
|Fall 2019 Math 220A: Modern Algebra I|
|Spring 2019 MAT 419: Algebraic Number Theory|
|Fall 2018 MAT 419: Arithmetic of Elliptic Curves|
|Spring 2018 MAT 202: Linear Algebra with Applications|
|Fall 2017 MAT 511: Class Field Theory|
|Spring 2017 MAT 175: Multivariable Calculus for Economics and Life Sciences|
|Fall 2016 MAT 175: Multivariable Calculus for Economics and Life Sciences|
|Spring 2016 Math 132: Complex Analysis for Applications|
|Winter 2016 Math 132: Complex Analysis for Applications|
|Fall 2015 Math 33A: Linear Algebra and Applications|
|Fall 2015 Math 132: Complex Analysis for Applications|
|Spring 2015 Math 117: Algebra for Applications|
|Winter 2015 Math 31B: Integration and Infinite Series|
|Winter 2015 Math 110A: Algebra|
|Fall 2014 Math 207: Topics in Number Theory|
|Spring 2014 Math 33A: Linear Algebra and Applications|
|Fall 2013 Math 31A: Differential and Integral Calculus|
|Fall 2013 Math 115A: Linear Algebra|