Publications and Preprints

• A modular construction of unramified p-extensions of Q(N^1/p), submitted (arXiv)
With P. Wake
• Big images of two-dimensional pseudorepresentations, to appear in Mathematische Annalen (pdf; arXiv; Oberwolfach report; slides)
With A. Conti, A. Medvedovsky
• A inf is infinite dimensional, Journal of the Institute of Mathematics of Jussieu, Vol. 20, No. 6 (2021) 1983--1989. (published version; arXiv)
With J. Ludwig
• Chow motives associated to certain algebraic Hecke characters, Transactions of the American Mathematical Society, Series B. Vol. 5, (2018) 102--124. (published version; arXiv)
With L. Flapan
• On the image of the Galois representation associated to a non-CM Hida family, Algebra and Number Theory, Vol. 10, No. 1 (2016) 155-194. (published version; arXiv; slides; poster)
• Shadow lines in the arithmetic of elliptic curves, Directions in number theory; Assoc. Women in Math. Ser., 3, Springer, (2016), 33-55. (published version; arXiv)
With J. Balakrishnan, M. Çiperiani, B. Mirza, R. Newton
• Function fields with class number indivisible by a prime l, Acta Arithmetica, Vol. 150 (2011), 339-359. (published version; arXiv)
With M. Daub, M. Merling, A. Pacelli, N. Pitiwan, M. Rosen

Funding I've received

• Fulbright U.S. Student Program Grant
Held 2016
• NSF Mathematical Sciences Postdoctoral Research Fellowship
Held 2016-2020
• Charles E. and Sue K. Young Graduate Student Award, 2015-2016
• NSF graduate research fellowship
Held 2011-2013 and 2014-2015
• Eugene V. Cota-Robles fellowship
Held 2010-2011 and 2013-2014
• Churchill Scholarship
Held 2009-2010
• Clare Booth Luce Scholarship
Held 2007-2009

Math programs I have participated in:

• *Women in Numbers -- Europe: 3 2019
Project Group: Local fields and Galois groups with Ramla Abdellatif, Agnès David, Supriya Pisolkar, Beth Romano, Marine Rougnant, Lara Thomas, and Hanneke Wiersema
• MSRI Graduate Summer School 2017; Automorphic forms and the Langlands program
  Teaching assistant; (unofficial website)
• CRM Graduate Summer School 2014, Counting Arithmetic Objects
• *Women in Numbers: 3 2014
Project Group: Shadow Lines with Jennifer Balakrishnan, Mirela Çiperiani, Bahare Mirza, and Rachel Newton
• MSRI Graduate Summer School 2013, New Geometric Techniques in Number Theory
• Arizona Winter School 2013, 2014
• Program in Mathematics for Young Scientists (PROMYS) I was a counselor in 2010.
• Part III of the Mathematical Tripos at the University of Cambridge. While doing Part III, I was a student at Churchill College. 2009-2010
• Park City Mathematics Institute 2009
• *Institute for Advanced Study Program for Women in Mathematics 2008
• *Nebraska Conference for Undergraduate Women in Mathematics 2008
• SMALL REU I was a participant in 2008. I worked with Allison Pacelli on a problem in algebraic number theory. Our paper can be found above.
• *Summer Program for Women in Mathematics (SPWM) I was a participant in 2007 and a teaching assistant in 2012.

Other writings

• Images of Galois representations associated to p-adic families of modular forms, PhD dissertation at UCLA (June 2016); under the supervision of Haruzo Hida
• Two-Descent on the Jacobians of Hyperelliptic Curves, Part III essay at the University of Cambridge (April 2010); under the supervision of T. Fischer
• Properties of Class Groups of a Family of Cyclic Cubic Fields, thesis for MA at Bryn Mawr College (May 2009); under the supervision of H. G. Grundman