Address: | Department of Mathematics University of California, Santa Barbara South Hall, Room 6511 Santa Barbara, CA 93106 United States |
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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: December 2023).
My research is partially supported by the NSF grant DMS-2401321 and by the 2024-2025 AMS Centennial Research Fellowship.
I help organize the 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 2023 Math 225A: Elliptic Curves and Modular Forms |
Fall 2023 Math 108B: Advanced Linear Algebra |
Winter 2023 Math 220B: Modern Algebra II |
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 |