School of Philosophy, Fudan University, 220 Handan Road, Shanghai, China 200433.
Ph.D. Mathematics, University of California Berkeley, Aug 2011–Jun 2016. Dissertation: Fun with Fields. Advised by Tom Scanlon.
B.S. Mathematics and Computer Science, University of Washington, Sep 2007–Jun 2011. Thesis: Combinatorial Game Theory, Well-Tempered Scoring Games, and a Knot Game.
Associate Professor. Fudan University School of Philosophy, Sep. 2023–present.
Young associate researcher. Fudan University School of Philosophy, Sep. 2020–Sep. 2023.
Postdoc. Fudan University School of Mathematical Sciences, Oct 2018–Aug. 2020.
Software Engineer. Niantic, Inc., Jan 2016–Jul 2018.
Model theory of fields and valued fields
Neostability: strongly dependent theories, NTP2 theories, dp-rank, o-minimality
Pseudofinite fields and ACFA
Applications of cohomology and category theory to model theory
1.Johnson, W.(2021). Forking and dividing in fields with several orderings and valuations.To appear in Journal of Mathematical Logic.
2.Johnson, W. (2021). Counting mod n in pseudofinite fields. To appear in Israel Journal of Mathematics.
3.Johnson, W. (2021). Dp-finite fields I(B): positive characteristic. To appear in Annals of Pure and Applied Logic.
4.Johnson, W. (2021). The classification of dp-minimal and dp-small fields. To appear in Journal of the European Mathematical Society.
5.Johnson, W. (2021). Dp-finite fields I(A): the infinitesimals. To appear in Annals of Pure and Applied Logic.
6.Johnson, W. (2021). On the proof of elimination of imaginaries in algebraically closed valued fields. To appear in Notre Dame Journal of Formal Logic.
7.Johnson, W. (2018). The canonical topology on dp-minimal fields. J. Math. Logic 18(2): 1850007.
8.Johnson, W. (2018). Interpretable sets in dense o-minimal structures. J. Symbolic Logic 83(4): 1477–1500.
9.Appendix to Freitag, J., Li, W., Scanlon, T. and Johnson, W. (2017). Differential Chow varieties exist. J. London Math. Soc. 95: 128–156.
10.Johnson, W. (2014). The combinatorial game theory of well-tempered scoring games. International Journal of Game Theory 43: 415–438.
1.V-topologies and beyond. Chinese Mathematical Society 2020 Annual Conference at Shijiazhuang, China.
2.An update on dp-finite fields. 2019 Chinese Annual Conference on Mathematical Logic at Chongqing, China.
3.From modular lattices to valuation rings. 2019 conference “Model Theory of Valued fields and Applications” at University of Münster, Germany.
4.Multi-valued algebraically closed fields are NTP2. 2018 workshop “Model Theory of Valued Fields” at IHP, Paris.
5.When does Teq eliminate ∃∞? 2016 North American meeting of the Association for Symbolic Logic.
6.On dp-minimal fields. 2015 Neostability Theory meeting in Oaxaca, Mexico.
7.Interpretable sets in o-minimal structures. 2015 North American meeting of the ASL.
1.with Chieu-Minh Tran, Erik Walsberg, and Jinhe Ye.Étale-open topology and the stable field conjecture
2.Dp-finite fields VI: the dp-finite Shelah conjecture (2020). arXiv:2005.13989.
3.Dp-finite fields V: topological fields of finite weight (2020). arXiv:2004.14732.
4.Dp-finite fields IV: the rank 2 picture (2020). arXiv:2003.09130.
5.A criterion for uniform finiteness in the imaginary sorts (2020). arXiv:2001.01528.
6.Dp-finite fields III: inflators and directories (2019). arXiv:1911.04727.
7.Dp-finite fields II: the canonical topology and its relation to henselianity (2019). arXiv:1910.05932.
8.Finite burden in multivalued algebraically closed fields (2019). arXiv:1905.04991.
9.Circular planar resistor networks with nonlinear and signed conductors (2012). arXiv:1203.4045.
10.The knotting-unknotting game played on sums of rational shadows (2011). arXiv:1107.2635.
1.Fun with Fields (2016). PhD dissertation, UC Berkeley.
2.Combinatorial Game Theory, Well-Tempered Scoring Games, and a Knot Game (2011). Undergraduate Senior Thesis, University of Washington.
2018 NSF Mathematical Sciences Postdoctoral Research Fellowship
2016 Sacks Prize for outstanding dissertation in mathematical logic (Association for Symbolic Logic)
2016 Herb Alexander Prize for an outstanding dissertation in pure mathematics (UC Berkeley)
2011 NSF Graduate Research Fellow
2009 Putnam Fellow
2008, 2010 honorable mention in Putnam contest
2011 Dean’s Medalist in the Natural Sciences (University of Washington)
Introduction to Model Theory, Fall 2020, Fudan University