研究序列
详细信息
Joao Fernando Schwarz
研究方向
Representation theory, assoaciative and non-associative rings and algebras, invariant theory, mathematical logic
Education
2015-2018 PhD in Mathematics, University of Sao Paulo, Sao Paulo, Brazil 2013-2015 MSc in Mathematics, University of Sao Paulo, Sao Paulo, Brazil 2011-2012, BSc in Mathematics, State University of Campinas, Campinas, Brazil
Working Experience
08/2024- Research Asssistant Professor, SICM-SUSTech, Shenzhen, China 07/2022-/07/2024- Visiting Professor, Federal University of the ABC, Santo Andre, Brazil 12/2018-11/2021 - Postdoctoral Fellow, University of Sao Paulo, Sao Paulo, Brazil
Honors and Awards
2018-2021: FAPESP Grant for Postdoctoral Fellows 2015-2018: FAPESP Grant for PhD students 2017: FAPESP Grant for Exchange Students (Cologne, Germany) Best Mathematics PhD Thesis, Institute of Mathematics and Statistics, University of Sao Paulo, Sao Paulo, Brazil, 2018
Publications:
J. Schwarz, Generalizations of noncommutative Noether‘s problem, Journal of Pure and Applied Algebra v. 229 (2), 107896.
H. L. Mariano, J. Schwarz, Gelfand-Kirillov Conjecture as a first order formula, accepted by publication in Algebra and Logic.
J. Schwarz. Poisson Noether’s problem and Poisson rationality. J. Algebra 606, 195-208 (2022).
V. Futorny, J. Schwarz, Holonomic modules for rings of invariant differential operators. Internat. J. Algebra Comput. 31 (2021), no. 4, 605–622.
V. Futorny, J. Schwarz, I. Shestakov. LD-stability for Goldie rings, Journal of Pure and Applied Algebra 225 n.11, 106741, 2021.
V. Futorny, J. Schwarz. Algebras of invariant differential operators, Journal of Algebra 542, 215-229, 2020.
V. Futorny, J. Schwarz. Noncommutative Noether’s problem vs classic Noether’s problem, Mathematische Zeitschrift 295, no. 3-4, 1323-1335, 2020.
V. Futorny , J. Schwarz. Quantum linear Galois orders, Communications in Algebra 47 n.12, 5361-5369, 2019.
F. Eshmatov, V. Futorny, S. Ovsienko, J. Schwarz. Noncommutative Noether’s problem for complex reflection groups. Proceedings of the American Mathematical Society, 145:5043-5052, 2017.
V. Futorny, J. Schwarz. Galois orders of symmetric differential operators. Algebra and Discrete Mathematics, 23(1):35-46, 2017.
J. Schwarz. Some aspects of noncommutative invariant theory and the Noether’s problem. São Paulo Journal of Mathematical Sciences, 9:62-75, 2015.