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CIPERIANI, MIRELA

Mirela Ciperiani

Associate Professor
Department of Mathematics


Number Theory

mirela@math.utexas.edu


Office Location
RLM

Postal Address
2515 SPEEDWAY
AUSTIN, TX 78712

Ph.D., Princeton University (2006)

Research Interests

My mathematical interests lie in algebraic number theory and arithmetic algebraic geometry.

Papers

Local points of supersingular elliptic curves on Zp-extensions, in preparation.

Local-global trace questions and twists of genus one curves (with E. Ozman), preprint.

p-adic heights of Heegner points and -adic regulators (with J. Balakrishnan and W. Stein), submitted.

Weil–Chatelet divisible elements in Tate–Shafarevich groups II: On a question of Cassels (with J. Stix), "to appear in Journal fur die Reine und Angewandte Mathematik. "

Galois sections for abelian varieties over number fields (with J. Stix), submitted.

Weil–Chatelet divisible elements in Tate–Shafarevich groups I: Bashmakov’s problem for elliptic ˆcurves over Q (with J. Stix), to appear in Compositio Mathematica.

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

Tate-Shafarevich groups in anticyclotomic Zp-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.

  • Spring 2011 College of Natural Sciences Teaching Excellence Award.
  • 2000- Member of the Phi Beta Kappa Society, the Sigma Xi Society, the AMS and AWM.