Hello! As of fall 2020, I am an NSF postdoctoral fellow in the Stanford math department, sponsored by Richard Taylor. I work in algebraic number theory. Currently, my area of focus is p-adic automorphic forms, specifically eigenvarieties.

I got my Ph.D. from Harvard in 2019, working with Mark Kisin.

I got my B.S. in mathematics with honors from Stanford in 2014, with a minor in computer science.

I can be contacted at lynnelle at stanford dot edu.

National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship, 2019-2022

Graduate Merit/Term-time Fellowship (Harvard University), 1-2 students in department per year, 2018-2019

National Defense Science and Engineering Graduate Fellowship, 2014-2017

James Mills Peirce Fellowship for graduate study (Harvard University), 3 students in department per year, 2014-2015

Everything is on arXiv.

A modular proof of the properness of the Coleman-Mazur eigencurve, preprint (2020), arXiv:2010.10705.

Slopes in eigenvarieties for definite unitary groups, preprint (2020), arXiv:2004.12490; Ph.D. thesis.

with C. Birkbeck, T. Feng, D. Hansen, S. Hong, Q. Li, A. Wang, Extensions of vector bundles on the Fargues-Fontaine curve, Journal of the Institute of Mathematics of Jussieu, 1-46 (2020), arXiv:1705.00710.

Bounding sums of the Möbius function over arithmetic progressions (accepted to Acta Arithmetica), arXiv:1406.7326.

with M. Jameson and J. Thorner, Benford's law for coefficients of newforms, International Journal of Number Theory, International Journal of Number Theory 12 (2016), (02) 483-494, arXiv:1407.1577.

with N. Kaplan, The proportion of Weierstrass semigroups, Journal of Algebra (2013), 377-391, arXiv:1202.6331.

with K. Monks and S. Peluse, Congruence properties of Borcherds product exponents, International Journal of Number Theory (2013), 9 (6) 1563–1578, arXiv:1407.1294.

with K. Monks and S. Peluse, Strings of special primes in arithmetic progressions, Archiv der Mathematik (2013), 101 (3) 219-234, arXiv:1407.1290; Outstanding Presentation Award, MAA Student Poster Session, 2013 Joint Math Meetings.

with K. Monks, Congruences of concave composition functions, Integers (2013) 13, arXiv:1407.1297.

with G. Smith, The partition function modulo 3 in arithmetic progressions, The Ramanujan Journal (2015), 1-6, arXiv:1407.7285.

with T. Khandhawit, Chomp on graphs and subsets, 2009, arXiv:1101.2718.

Notes from Math 249B, Winter 2020: p-adic functional analysis and p-adic automorphic forms, by Richard Taylor. I was part of a collaborative effort to take and edit these notes. Please feel free to send me comments and suggestions.

Kennedy Thesis Prize (Stanford University), awarded to the top senior thesis from the natural sciences (in addition to one each from the humanities, social sciences, and applied sciences), Spring 2014

Firestone Medal for Excellence in Undergraduate Research (Stanford University), awarded to the top ten percent of senior theses in science, engineering, and social science, Spring 2014

Deans’ Award for Academic Accomplishment (Stanford University), awarded to 5-10 undergraduates a year, Spring 2014

J.E. Sterling Award for Scholastic Achievement (Stanford University), awarded to 25 seniors graduating from the School of Humanities and Sciences a year, Winter 2014

Introductory Seminar Excellence Award (Stanford University), awarded to 4-6 projects a year, Winter 2012

President's Award for Academic Excellence in the Freshman Year (Stanford University), awarded to 3% of undergraduates, September 2011

IHUM Boothe Prize for Undergraduate Writing (Stanford University), awarded at the time to one student each quarter, Spring 2011

Gold medal at the China Girls Math Olympiad; member of four-person top team representing the USA at the competition, August 2010

Invited to the Math Olympiad Summer Program in June 2010, 2009, 2008, 2007; attended in 2010, 2008, 2007

4th place at Intel Science Talent Search, March 2010

2nd place in Siemens Competition for Math, Science, and Technology, December 2009

Research Science Institute at MIT, June-August 2009

Gold medal at the China Girls Math Olympiad; member of eight-person team representing the USA at the competition; highest score on team, August 2008

Co-organizer of the Department of Mathematics Colloquium (Stanford), 2020-2021

Assistant for Polya problem solving seminar (Stanford), 2019

Organizer of qualifying exam preparation sessions for first-years (Harvard), 2015-2018

Calculus Teaching Fellow for Math 1b (Harvard), Fall 2017 and Spring 2016

Graduate course assistant for Math 223a: graduate algebraic number theory (Harvard), Fall 2015; received Certificate of Teaching Excellence

Director of problem-writing for the Stanford Math Tournament (Stanford University Mathematical Organization), 2011-2014 (scroll down for the exam archives; note that I was a primary contributor to the 2012-2014 power rounds)

Peer tutor for the MATH 50s series (Stanford University Mathematical Organization), 2012-2014

Here is my minor thesis about Hodge theory (2015), based primarily on Griffiths and Harris.

Here is my final project from CS 354 (circuit complexity) by Ryan Williams (2014).

Here is an amusing intro algebra exercise I participated in (2010).

My Boothe Prize essay about *The Master and Margarita* by Mikhail Bulgakov is publicly available at the bottom of this page (the 2011-2012 book). Warning: my name is misspelled.