§[Mirela Ciperiani]

Mirela Çiperiani

The University of Texas at Austin
Mathematics Dept. PMA 8.100
2515 Speedway Stop C1200
Austin, Texas 78712-1202

Office: PMA 12.164
Phone: (512) 471-4188
Email: mirela at math dot utexas dot edu

I am an associate professor in the department of mathematics at the University of Texas at Austin.
I received my Ph.D. at Princeton in 2006 under the supervision of Andrew Wiles.

My mathematical interests lie in algebraic number theory and arithmetic algebraic geometry.
This is my CV.

Teaching

Fall 2024:

M 373K Algebraic Structures I

M 390C Algebraic Number Theory

Spring 2025:

M 375T Quadratic Forms

Papers

On the Iwasawa main conjectures for modular forms at non-ordinary primes (with Francesc Castella, Christopher Skinner, and Florian Sprung), preprint.

Local points of supersingular elliptic curves on Z_p-extensions, Journal für die Reine und Angewandte Mathematik 801 (2023), 45-56.

Chabauty-Coleman experiments for genus 3 hyperelliptic curves (withJ. Balakrishnan, F. Bianchi, V. Cantoral-Farfan, A. Etropolski), Research directions in number theory WIN4, Assoc. Women Math. Ser., 19, Springer, Cham, 2019, 67-90.

Shadow lines in the arithmetic of elliptic curves (with J. Balakrishnan, J. Lang, B. Mirza, R. Newton), Directions in Number Theory: Proceedings of the WIN3 Workshop, Springer, 2016, 33-55.

Local to global trace questions and twists of genus one curves (with E. Ozman), Proceedings of the American Mathematical Society 143 (2015), 3815-3826.

p-adic heights of Heegner points and Lambda-adic regulators (with J. Balakrishnan and W. Stein), Mathematics of Computation 84 (2015), no. 292, 923-954.

Weil-Chatelet divisible elements in Tate-Shafarevich groups II: On a question of Cassels (with J. Stix), Journal für die Reine und Angewandte Mathematik 700 (2015), 175-207.

Galois sections for abelian varieties over number fields (with J. Stix), Journal de Théorie des Nombres de Bordeaux 27 (2015), 47-52.

Weil-Chatelet divisible elements in Tate-Shafarevich groups I: The Bashmakov problem for elliptic curves over Q (with J. Stix), Compositio Mathematica 149 (2013), 729-753.

Relative Brauer groups of genus 1 curves (with D. Krashen), Israel Journal of Mathematics 192 (2012), 921-949.

Tate-Shafarevich groups in anticyclotomic Z_p-extensions at supersingular primes, Compositio Mathematica 145 (2009), 293-308.

Solvable points on genus one curves (with A. Wiles), Duke Mathematical Journal 142 (2008), no. 3, 381-464.

Mathematical Links

ArXiv Math.NT

MathSciNet

Number Theory Conferences

Number Theory Web

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