CV

EDUCATION

Ph.D., Universiteit Leiden and Universite Paris-Sud 11, 2013-2016

ALGANT PhD program, Advisors: Peter Stevenhagen and Etienne Fouvry

M.A., Universite Paris-Sud 11 and Universita degli Studi di Milano, 2011-2013

ALGANT Master program, Thesis advisor: Etienne Fouvry

A.B. cum laude, Princeton University, 2007-2011

Senior thesis advisor: Peter Sarnak


EMPLOYMENT

Research Associate, University College London, 2017-present

Postdoctoral mentor: Andrew Granville

Member, Institute for Advanced Study, Princeton, 2016-2017

Postdoctoral mentor: Peter Sarnak

RESEARCH INTERESTS

Arithmetic statistics, Cohen-Lenstra heuristics, class groups of number fields, unit groups of number rings, distribution of prime numbers, sieve techniques, oscillation of characters


HONORS AND AWARDS

Stieltjes Prize, 2018

KWG Prize, 2015

PUBLICATIONS

[1] The infinitude of $\mathbb{Q}(\sqrt{-p})$ with class number divisible by $16$. Acta Arith. 178 (2017), no. 3, 201–233. [arXiv]

[2] On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-8p})$ for $p\equiv -1 \bmod 4$. Geom. Funct. Anal. 27 (2017), no. 4, 973–1016. [arXiv]

[3] On the 8-rank of class groups of $\mathbb{Q}(\sqrt{-4pq})$, $\mathbb{Q}(\sqrt{-8pq})$, and $\mathbb{Q}(\sqrt{8pq})$. Int. J. Number Theory 14 (2018), no. 8, 2165-2193. [arXiv]

[4] (with P. Koymans) Spins of prime ideals and the negative Pell equation $x^2 − 2py^2 = −1$. Compos. Math., 155(1):100-125, 2019. [arXiv]

[5] (with P. Koymans) On the 16-Rank of class groups of $\mathbb{Q}(\sqrt{-2p})$ for primes $p\equiv 1\bmod 4$. Int. Math. Res. Notices, rny010:1–22, 2018. [arXiv]

[6] (with P. Koymans) Joint distribution of spins. Submitted. [arXiv]

[7] On the equations $x^2-2py^2=-1, \pm 2$. Submitted. [arXiv]

[8] (with S. Chan) Kuroda's formula and arithemtic statistics. Submitted. [arXiv]


INVITED LECTURES

Enumerative Arithmetic and the Cohen-Lenstra Heuristics, June 2019

Max Planck Institute, Bonn

Bristol-Oxbridge-Warwick-London (BOWL), September 2018

University of Oxford, Oxford

Elementare und Analytische Zahlentheorie (ELAZ), September 2018

Max Planck Institute, Bonn

Algebra and Number Theory Seminar, April 2018

Leiden University, Leiden

Nederlands Mathematisch Congres, April 2018

Veldhoven, Netherlands

Rencontres de theorie analytique et elementaire des nombres, March 2018

Institut Henri Poincare, Paris

Number Theory Seminar, February 2018

University of London, Royal Holloway

Philadelphia Area Number Theory Seminar, April 2017

Bryn Mawr College, Pennsylvania

Joint IAS/Princeton University Number Theory Seminar, February 2017

Princeton University, Princeton

Working Group in Algebraic Number Theory, October 2016

Princeton University, Princeton

Number Theory Seminar, January 2016

University of Michigan, Ann Arbor

Number Theory Seminar, January 2016

University of California, San Diego

Seminaire de Theorie des Nombres de Nancy-Metz, June 2015

Institut Elie Cartan, Nancy

Number Theory Seminar, January 2015

University of California, San Diego

DIAMANT Symposium, November 2014

Soest, The Netherlands

Rencontres de theorie analytique et elementaire des nombres, September 2014

Institut Henri Poincare, Paris

Theorie des nombres et applications, March 2014

Centre International de Rencontres Mathematiques, Marseille

Prime Numbers: New Perspectives, February 2014

Centre International de Rencontres Mathematiques, Marseille

DIAMANT Symposium, November 2013

Lunteren, The Netherlands


TEACHING EXPERIENCE

Mathematical Methods 5: Differential Equations, University College London, Spring 2018, Spring 2019

(own course)

Mathematical Reasoning, Leiden University College, Spring 2016

Professor: Martin Bright

Elliptic Curves, Universiteit Leiden, Fall 2015

Professors: Martin Bright and Marco Streng

Diophantine Approximation, Universiteit Leiden, Spring 2014

Professor: Jan-Hendrik Evertse

Program in Mathematics for Young Scientists (PROMYS), Summers 2007-2012

Program director: Glenn Stevens, Boston University

MAT 190: The Magic of Numbers, Princeton University, Spring 2010

Professor: Manjul Bhargava

MAT 201: Multivariable Calculus, Princeton University, Fall 2010

Professor: Zoltan Szabo