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 Assistant 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: October 2019).
My research is partially supported by the NSF grant DMS #1801385 and #1946136.
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.
▪ | Propagating the Iwasawa main conjecture via congruences. | |
Project descriptions for the course by Christopher Skinner in AWS 2018. | ||
▪ | On the p-adic variation of Heegner points. | |
PhD thesis, McGill, 2013, under the direction of Henri Darmon. | ||
▪ | Ordinary CM forms and local Galois representations. | |
MSc thesis, Barcelona, 2009, under the direction of Victor Rotger. | ||
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 |