- Raymond van Bommel
- Shiva Chidambaram
- Edgar Costa
- Aaron Landesman
- Bjorn Poonen
- David Roe
- Sam Schiavone
- Andrew Sutherland
- Yujie Xu
- Zhiwei Yun (representation theory, algebraic geometry, and number theory)
- Wei Zhang

- Michael Artin (algebraic geometry, noncommutative algebra)
- Roman Bezrukavnikov (algebraic geometry, representation theory)
- Henry Cohn (discrete geometry, coding theory, cryptography, combinatorics, computational number theory, and theoretical CS)
- Julee Kim (representations of
*p*-adic groups) - Steven Kleiman (algebraic geometry, commutative algebra)
- Andrei Negut (algebraic geometry, representation theory)
- Davesh Maulik (algebraic geometry)
- Minh-Tam Trinh (representation theory, algebraic geometry)
- Yufei Zhao (extremal/probabilistic/additive combinatorics)

- Niven Achenjang
- Ryan Chen
- Gefei Dang
- Hao Peng
- Vijay Srinivasan
- Danielle Wang
- Yichi Zhang

- Zhiyu Zhang,
*Arithmetic transfers, modularity of arithmetic theta series and geometry of local-global Shimura varieties at parahoric levels*

- Yongyi Chen,
*Self-intersection of Manin-Drinfeld cycles and Taylor expansion of L-functions* - Hyuk Jun Kweon,
*Bounds on the torsion subgroups of Néron-Severi groups*

- Vishal Arul,
*Explicit division and torsion points on superelliptic curves and Jacobians* - Atticus Christensen,
*A topology on points on stacks* - Campbell Hewett,
*Computability of rational points on curves over function fields in characteristic p* - Borys Kadets,
*Arboreal representations, sectional monodromy groups, and abelian varieties over finite fields*

- Nicholas Triantafillou,
*Restriction of scalars, the Chabauty-Coleman method, and***P**^{1}-{0,1,∞} - Isabel Vogt,
*Some results in the arithmetic and geometry of curves* - Jingwei Xiao,
*Germ expansion, endoscopic transfer, and unitary periods*

- 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*