On the BrumerStark Conjecture over Z,
(with Mahesh Kakde, Jesse Silliman, and Jiuya Wang), preprint. 

The Residually Indistinguishable Case of Ribet’s Method for GL_2, (with Mahesh Kakde, Jesse Silliman, and Jiuya Wang), preprint. 

On Constructing Extensions of Residually Isomorphic Characters,
preprint. 

Ranks of matrices of logarithms of algebraic numbers I: the theorems of Baker and WaldschmidtMasser,
preprint. 

Two Encounters with the padic Stark Conjecture,
(with Benedict Gross), UCLA CHAT Colloquium Series, to appear. 

On the BrumerStark Conjecture and Refinements,
(with Mahesh Kakde), Proceedings of ICM 2022. 

BrumerStark units and Explicit Class Field Theory, (with Mahesh Kakde), Duke Mathematics Journal, to appear. 

On the BrumerStark Conjecture, (with Mahesh Kakde), Annals of Mathematics, 197 (2023), no. 1, 289388. 

On Constant terms of Eisenstein Series, (with Mahesh Kakde), Acta Arithmetica, 200 (2021), no. 2, 119147. 

Trivial Zeroes in the Iwasawa Main Conjecture,
(with Mahesh Kakde), Colloquium on Arithmetic Geometry, Tata Institute, to appear. 

On the Rank One GrossStark Conjecture for Quadratic Extensions and the DeligneRibet qexpansion Principle,
(with Mahesh Kakde), Development of Iwasawa theory—the centennial of K. Iwasawa's birth, 243–254, Adv. Stud. Pure Math., 86, Math. Soc. Japan, Tokyo, (2020). 

On the Characteristic Polynomial of the Gross Regulator Matrix, (with Michael Spiess), Transactions of the American Mathematical Society, 372 (2019), 803827. 

On the GrossStark Conjecture, (with Mahesh Kakde and Kevin Ventullo), Annals of Mathematics, 188 (2018), no. 3, 833870. 

Partial zeta values, Gross's tower of fields conjecture, and GrossStark units,
(with Michael Spiess), Journal of the European Mathematical Society, 20 (2018), no. 11, 26432683. 

Sylvester's Problem and Mock Heegner Points, (with John Voight), Proceedings of the American Mathematical Society, 146 (2018), 32573273. 

Factorization of padic Rankin Lseries, Inventiones Mathematicae, 205 (2016), no. 1, 221268. 

The Eisenstein Cocycle and Gross's Tower of Fields Conjecture,
(with Michael Spiess), Annales des sciences mathématiques du Québec, 40 (2016), no. 2, 355376. 

Integral Eisenstein cocycles on GL_n, II: Shintani's Method,
(with Pierre Charollois and Matthew Greenberg), Commentarii Mathematici Helvetici, 90 (2015), no. 2, 435477. 

The padic Lfunctions of Evil Eisenstein Series,
(with Joel Bellaiche), Compositio Mathematica, 151 (2015), no. 6, 9991040. 

Integral Eisenstein cocycles on GL_n, I: Sczech's cocycle and padic Lfunctions of totally real fields,
(with Pierre Charollois), Cambridge Journal of Mathematics, 2 (2014), no. 1, 4990. 

padic Lfunctions and Euler systems: a tale in two trilogies,
(with Massimo Bertolini, Francesc Castella, Henri Darmon, Kartik Prasanna, and Victor Rotger), Automorphic forms and Galois representations, ed. Fred Diamond, Payman L. Kassaei, Minhyong Kim. London Mathematical Society Lecture Note Series, 414. Cambridge University Press, Cambridge, 2014. 

A Conjectural Product formula for BrumerStark units over Real Quadratic Fields,
Journal of Number Theory, 133 (2013), no. 3, 915925 (volume in memory of David Hayes). 

LInvariants and Shimura Curves,
(with Matthew Greenberg), Algebra and Number Theory, 6 (2012), no. 3, 455485. 

Hilbert Modular Forms and the GrossStark Conjecture,
(with Henri Darmon and Robert Pollack), Annals of Mathematics, 174 (2011), no. 1, 439484. 

A ShintaniType Formula for GrossStark Units over Function Fields,
(with Alison Miller), Journal of Mathematical Sciences, The University of Tokyo, 16 (2009), no. 3, 415440. 

Heegner Points and Sylvester's Conjecture, (with John Voight), Arithmetic Geometry, Clay Mathematics Proceedings, 8. American Mathematical Society, Providence, RI, 2009. 

Shintani Zeta Functions and GrossStark Units for Totally Real Fields,
Duke Mathematical Journal, 143 (2008), no. 2, 225279. 

The padic Upper Half Plane, (with Jeremy Teitelbaum), padic Geometry: Lectures from the 2007 Arizona Winter School, ed. David Savitt, Dinesh Thakur. University Lecture Series, 45. American Mathematical Society, Providence, RI, 2008. 

Computations of Elliptic Units for Real Quadratic Fields,
Canadian Journal of Mathematics, 59 (2007), 553574. 

StarkHeegner Points and Special Values of Lseries, (with Massimo Bertolini and Henri Darmon), LFunctions and Galois Representations, ed. David Burns, Kevin Buzzard, Jan Nekovář. London Mathematical Society Lecture Note Series, 320. Cambridge University Press, Cambridge, 2007. 

Elliptic Units for Real Quadratic Fields, (with Henri Darmon), Annals of Mathematics, 163 (2006), no. 1, 301345. 

StarkHeegner Points on Modular Jacobians,
Annales Scientifiques de l'École Normale Supérieure, 4e sér., 38 (2005), 427469. 

Unités Elliptiques, Corps Quadratiques Réels,
et une Formule Limite de Kronecker, (avec Henri Darmon), Proceedings de la Troisième Conférence Internationale de Théorie des Nombres QuebecMaroc, Mai 2003, CasablancaMarrakech. Annales des sciences mathématiques du Québec, 28 (2005), no. 12, 7788. 

Transversals of Additive Latin Squares, (with Gyula Károlyi, Oriol
Serra, and Balázs Szegedy), Israel Journal of Mathematics, 126 (2001), 1728. 

A Presentation for the Unipotent Group over Rings
with Identity, (with Daniel Biss), Journal of Algebra, 237 (2001), no. 2, 691707. 

On the Size of Minimum Super Arrovian Domains,
SIAM Journal of Discrete Mathematics, 12 (1999), no. 4, 524534. 
GrossStark Units, StarkHeegner Points, and Class Fields of
Real Quadratic Fields,
PhD. Thesis, University of CaliforniaBerkeley, May 2004. 

Stark's Conjectures, Senior honors thesis, Harvard University, April 1999. 
Math 305S (Website on Sakai)
Number Theory Seminar
Michael Daub, (informal advisor) Ph.D. UCBerkeley, May 2013 Complex and padic Computations of ChowHeegner Points 
Mitchell Owen, Ph.D. UCSanta Cruz, June 2015 Families of HalfInteger Weight Eisenstein Series 
Alex Beloi, Ph.D. UCSanta Cruz, December 2015 Shintani's Method: Zeta values and Stark units 
Joe Ferrara, Ph.D. UCSanta Cruz, June 2018 Stark's Conjectures for padic Lfunctions 
Shawn Tsosie, Ph.D. UCSanta Cruz, December 2018 On the Compatibility of Two Conjectures Concerning padic GrossStark Units 