Alex Betts

Assistant Professor

Publications

(with J. Duque-Rosero, S. Hashimoto and P. Spelier) Local heights on hyperelliptic curves and quadratic Chabauty. arXiv:2401.05228
(with J. Stix) Galois sections and p-adic period mappings. To appear in Ann. of Math., arXiv:2204.13674.
(with A.J. Best, T. Kumpitsch, M. Lüdtke, A.W. McAndrew, L. Qian, E. Studnia and Y. Xu) Refined Selmer equations for the thrice-punctured line in depth two. Math. Comp. 93, pp. 1497–1527.
Weight filtrations on Selmer schemes and the effective Chabauty–Kim method. Compos. Math., 159(7), pp.
1531–1605.

Will Gilroy

Ph.D. Student

Shiliang Gao

NSF Postdoctoral Fellow

Publications

Standard monomials for positroid varieties (with Ayah Almousa and Daoji Huang), arxiv.2309.15384.
Quantum Bruhat graphs and tilted Richardson varieties (with Jiyang Gao and Yibo Gao), arxiv.2309.01309.
Newell-Littlewood numbers III: eigencones and GIT-semigroups (with Gidon Orelowitz, Nicolas Ressayre and Alexander Yong), Compositio Mathematica (to appear).
Newell-Littlewood numbers (with Gidon Orelowitz and Alexander Yong), Trans. Amer. Math. Soc. 374 (2021), no.9, 6331-6366.

Andreea Iorga

H.C. Wang Assistant Professor

Publications

Murphy’s Law for Galois Deformation Rings. Preprint, arxiv.2310.07105.
Towards a classification of p²-discriminant ideal twins over number fields (with A. Deines, A. S. Hamakiotes, C. Namoijam, M. Roy, L. D. Watson). Submitted, arxiv.2403.01287.

Anton Mosunov

Lecturer

Publications

Absolute bound on the number of solutions of certain Diophantine equations of Thue and Thue-Mahler type, 2022 (to appear in J. de Théorie des Nombres de Bordeaux).
On the generalization of the gap principle, Periodica Mathematica Hungarica 87, pp. 119–151, 2023.
On the automorphism group of a binary form associated with algebraic trigonometric quantities, J. of Number Theory 240, pp. 325–356, 2022.
On the area of the fundamental region of a binary form associated with algebraic trigonometric quantities, Mathematika 67 (2), pp. 532–551, 2021.
Unconditional class group tabulation of imaginary quadratic fields to | Δ|<2⁴⁰ (with M. J. Jacobson, Jr.), Mathematics of Computation 300 (85), pp. 1983–2009, 2016.

Riccardo Mattarei

Ph.D. Student

Mingjun Sun

Ph.D. Student

Rachel Webb

Assistant Professor

Publications

The moduli of sections has a canonical obstruction theory. Forum of Math, Sigma. 10(2022), E78.
Virtual cycles of stable (quasi)-maps with fields. With Qile Chen and Felix Janda. Advances in Mathematics. 385(2021), Art. No. 107781.
The abelian/nonabelian correspondence for I-functions. International Mathematics Research Notices. 3(2023), 2592–2648.

Alex Betts

Assistant Professor

Publications

Education

Departments and programs

Links

Will Gilroy

Ph.D. Student

Departments and programs

Shiliang Gao

NSF Postdoctoral Fellow

Publications

Education

Departments and programs

Links

Andreea Iorga

H.C. Wang Assistant Professor

Publications

Education

Departments and programs

Anton Mosunov

Lecturer

Publications

Education

Departments and programs

Riccardo Mattarei

Ph.D. Student

Departments and programs

Mingjun Sun

Ph.D. Student

Departments and programs

Rachel Webb

Assistant Professor

Publications

Education

Departments and programs

Links

Baran Zadeoglu

Ph.D. Student

Education

Departments and programs

Zachary Couvillion

Ph.D. Student

Departments and programs