# FRG: Algebraic Geometry and Singularities in Positive and Mixed Characteristic

## News

Check out the Special month at the University of Michigan, May 8th - June 2nd, 2023.

## About

This NSF Focus Research Grant award,*FRG: Algebraic Geometry and Singularities in Positive and Mixed Characteristic*is designed to study singularities in positive and mixed characteristic and to apply what is discovered to key questions in algebraic geometry and related fields.

This is a collaborative project involving the institutions:

# Programs and Activities

### Summer 2023

We are holding a Special month at the University of Michigan, May 8th - June 2nd, 2023.### Summer 2022

We held a Learning Workshop and Conference on Algebraic Geometry and Singularities at the University of Washington, June 20 - June 26, 2022.### Summer 2021

We held a Virtual Special Month at the University of Utah, May 17 - June 11th, 2021. Click on the link for more information and to watch the videos.### Published Papers

**Linquan Ma**, Invent. math. 231, 407-429 (2023).

**Bhargav Bhatt**, Akhil Mathew. Forum Math. Pi 11 (2023), Paper No. e1, 26 pp.

**Chenyang Xu**, Ziquan Zhuang. Forum Math. Pi 11 (2023), Paper No. e9, 28 pp.

**Sándor Kovács**, Behrouz Taji. Math. Z. 303 (2023), no. 3, 75.

**Chenyang Xu**, Ziquan Zhuang. Ann. of Math. (2) 196 (2022), no. 2, 507-566.

**Mircea Mustata**, Mihnea Popa. Forum Math. Pi 10 (2022), Paper No. e22, 58 pp.

**Karen E. Smith**, Adela Vraciu and Emily E. Witt. Trans. Amer. Math. Soc. Ser. B 9 (2022), 977-1005

**Bhargav Bhatt**, David Hansen. Compos. Math. 158 (2022), no. 2, 437-482.

**Chenyang Xu**. Duke Math. J. 171 (2022), no. 13, 2753-2797.

**Linquan Ma**,

**Karl Schwede**, Kevin Tucker, Joe Waldron and Jakub Witaszek. J. Algebraic Geom. 31 (2022), 497-559.

**Linquan Ma**and Pham Hung Quy. Trans. Amer. Math. Soc. 375 (2022), 8257-8276.

**Linquan Ma**, Mark E. Walker. Algebra Number Theory 16 (2022), no. 5, 1213-1257.

**Christopher D. Hacon**, Zsolt Patakfalvi. Boll. Unione Mat. Ital. 15 (2022), no. 1-2, 215-244.

**Linquan Ma**. Acta Math. Vietnam. 47 (2022), no. 1, 141-150.

**Karen E. Smith**, Adela Vraciu and Emily E. Witt. Women in commutative algebra, 353-367, Assoc. Women Math. Ser., 29, Springer, Cham, [2021]

**Linquan Ma**,

**Karl Schwede**, Mark E. Walker, Commutative algebra, 475-500, Springer (2021).

**Karen E. Smith**, Adela Vraciu, Emily E. Witt. Trans. Amer. Math. Soc. 374 (2021), no. 9, 6251-6267.

**Chenyang Xu**, Ziquan Zhuang. Annals of Mathematics. Vol. 192, No. 3, (November 2020), pp. 1005-1068.

### Preprints

**Christopher Hacon, Lingyao Xie**.

**Linquan Ma**, Pham Hung Quy.

**Lingyao Xie**.

**Mircea Mustață**.

**Hanlin Cai**, Seungsu Lee,

**Linquan Ma**,

**Karl Schwede**, Kevin Tucker.

**Anna Brosowsky**, Haoyu Du, Madhav Krishna, Sandra Nair, Janet Page, Tim Ryan.

**Lingyao Xie**.

**Chenyang Xu**.

**Shubhodip Mondal**, Emanuel Reinecke.

**Lingyao Xie**.

**Sándor J Kovács**.

**Linquan Ma**, Mark E. Walker.

**Shubhodip Mondal, Alapan Mukhopadhyay**.

**Mircea Mustață**.

**David Stapleton**.

**David Stapleton**.

**Mircea Mustață**, Sebastián Olano.

**José Ignacio Yáñez**.

**Karen E. Smith**, Adela Vraciu.

**Lingyao Xie**.

**Mircea Mustață**, Mihnea Popa.

**Mircea Mustață**, Sebastian Olano.

**Chenyang Xu**, Ziquan Zhuang.

**Christopher Hacon**, Mihai Paun.

**Sándor J Kovács**, Behrouz Taji.

**Christopher D. Hacon**.

**Jihao Liu**,

**Lingyao Xie**.

**Mircea Mustață**.

**Bhargav Bhatt**, Jacob Lurie.

**Bhargav Bhatt**, Jacob Lurie.

**Alapan Mukhopadhyay**.

**Junpeng Jiao**, Jihao Liu,

**Lingyao Xie**.

**Junpeng Jiao**

**Linquan Ma**, Ilya Smirnov.

**Sándor Kovács**.

**José Ignacio Yáñez**.

**Lingyao Xie**.

**Lingyao Xie**.

**Lingyao Xie**.

**Junpeng Jiao**.

**Bhargav Bhatt**, Shizhang Li.

**Lingyao Xie**,

**Qingyuan Xue**.

**Christopher D. Hacon**, Jihao Liu.

**Lingyao Xie**,

**Qingyuan Xue**

**Haoyang Guo**, Sanal Shivaprasad, Dylan Spence, Yueqiao Wu.

**Christopher D. Hacon**, Roberto Svaldi.

**Christopher Hacon**, Alicia Lamarche,

**Karl Schwede**

**Bhargav Bhatt**, Peter Scholze.

**Mircea Mustata**, Sebastian Olano, Mihnea Popa, Jakub Witaszek

**Bhargav Bhatt**

**Haoyang Guo**.

**Jihao Liu**, Lingyao Xie.

**Karl Schwede**.

**Bhargav Bhatt**,

**Linquan Ma**, Zsolt Patakfalvi,

**Karl Schwede**, Kevin Tucker, Joe Waldron, Jakub Witaszek.

**Christopher Hacon**.

**Karen E. Smith**, Adela Vraciu, Emily E. Witt

**Christopher Hacon**, Jakub Witaszek

**Karen E. Smith**.

**Linquan Ma**, Anurag K. Singh, Uli Walther.

**Jihao Liu**.

**Karl Schwede**.

**Karl Schwede**, Yuhui Yao.

**Linquan Ma**, Pham Hung Quy, Ilya Smirnov.

**Bhargav Bhatt**.