- Charlotte Chan (representation theory, algebraic geometry, and number theory); arriving in Fall 2019
- Edgar Costa
- Maarten Derickx
- Tony Feng; arriving in Fall 2019
- Francesc Fité; arriving in Fall 2019
- Daniel Kriz
- Wanlin Li; arriving in Fall 2019
- Bjorn Poonen
- David Roe
- Sam Schiavone; arriving in Fall 2019
- Ananth Shankar
- Andrew Sutherland
- Raymond van Bommel; arriving in Fall 2019
- Chen Wan (automorphic forms, representation theory, trace formula, L-functions)
- Junho Peter Whang
- Zhiwei Yun (representation theory, algebraic geometry, and number theory)
- Wei Zhang

- Michael Artin (algebraic geometry, noncommutative algebra)
- Dori Bejleri (algebraic geometry)
- Roman Bezrukavnikov (algebraic geometry, representation theory)
- Zarathustra Brady (combinatorics and combinatorial number theory)
- Henry Cohn
- Julee Kim (representations of
*p*-adic groups) - Steven Kleiman (algebraic geometry, commutative algebra)
- Arthur Mattuck (algebraic geometry)
- Andrei Negut (algebraic geometry, representation theory)
- Davesh Maulik (algebraic geometry)
- Aaron Pixton (algebraic geometry)
- Junliang Shen (algebraic geometry)
- Gonçalo Tabuada (algebraic topology)
- Chenyang Xu (algebraic geometry)
- Yufei Zhao (extremal/probabilistic/additive combinatorics)
- Ziquan Zhuang (algebraic geometry); arriving in Fall 2019

- Vishal Arul
- Yongyi Chen
- Atticus Christensen
- Campbell Hewett
- Borys Kadets
- Hyuk Jun Kweon
- Nicholas Triantafillou
- Isabel Vogt
- Jingwei Xiao

- Renee Bell,
*Local-to-global extensions for wildly ramified covers of curves* - David Corwin,
*Obstructions to rational and integral points*

- John Binder,
*Fields of rationality of cuspidal automorphic representations* - Ruthi Hortsch,
*Counting elliptic curves of bounded Faltings height* - Padmavathi Srinivasan,
*Invariants linked to models of curves over discrete valuation rings*

- Kęstutis Česnavičius,
*Selmer groups as flat cohomology groups* - Mario DeFranco,
*The unramified principal series of p-adic groups: the Bessel Function* - Jennifer Park,
*Effective Chabauty for symmetric powers of curves*

- Gregory Minton,
*Computer-assisted proofs in geometry and physics*

- Jennifer Balakrishnan,
*Coleman integration for hyperelliptic curves: algorithms and applications* - Catherine Lennon,
*Arithmetic and analytic properties of finite field hypergeometric functions* - Kaloyan Slavov,
*The moduli space of hypersurfaces whose singular locus has high dimension* - Fucheng Tan,
*Families of p-adic Galois representations*

- Peter McNamara,
*Whittaker functions on metaplectic groups* - Sawyer Tabony,
*Deformations of characters, metaplectic Whittaker functions, and the Yang-Baxter equation*

- Chris Davis,
*The overconvergent de Rham-Witt complex* - Liang Xiao,
*Nonarchimedean differential modules and ramification theory*

- Ruochuan Liu,
*On the slope filtrations of phi-modules over the Robba ring*