Staff profile

Chapter in book

• The Polymake Interface in Singular and Its Applications
  
  Epure, R., Ren, Y., & Schönemann, H. (n.d.). The Polymake Interface in Singular and Its Applications. In Computer Algebra in Scientific Computing [Contracted by publisher].

Conference Paper

• Real Space Sextics and their Tritangents
  
  Kulkarni, A., Ren, Y., Sayyary Namin, M., & Sturmfels, B. (2018, July 11). Real Space Sextics and their Tritangents. Presented at Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation. https://doi.org/10.1145/3208976.3208977
• Current Challenges in Developing Open Source Computer Algebra Systems
  
  Böhm, J., Decker, W., Keicher, S., & Ren, Y. (2016). Current Challenges in Developing Open Source Computer Algebra Systems. In I. S. Kotsireas, S. M. Rump, & C. K. Yap (Eds.), Mathematical Aspects of Computer and Information Sciences (pp. 3-24). Springer. https://doi.org/10.1007/978-3-319-32859-1_1

Journal Article

• Generic root counts and flatness in tropical geometry
  
  Helminck, P. A., & Ren, Y. (2025). Generic root counts and flatness in tropical geometry. Journal of the London Mathematical Society, 111(5), e70171. https://doi.org/10.1112/jlms.70171
• On intersections and stable intersections of tropical hypersurfaces
  
  Ren, Y. (2024). On intersections and stable intersections of tropical hypersurfaces. Algebraic Combinatorics, 7(1), 9-15. https://doi.org/10.5802/alco.327
• Massively parallel computation of tropical varieties, their positive part, and tropical Grassmannians
  
  Bendle, D., Böhm, J., Ren, Y., & Schröter, B. (2023). Massively parallel computation of tropical varieties, their positive part, and tropical Grassmannians. Journal of Symbolic Computation, 120. https://doi.org/10.1016/j.jsc.2023.102224
• Computing zero-dimensional tropical varieties via projections
  
  Görlach, P., Ren, Y., & Zhang, L. (2022). Computing zero-dimensional tropical varieties via projections. Computational Complexity, 31(1), Article 5. https://doi.org/10.1007/s00037-022-00222-9
• Detecting tropical defects of polynomial equations
  
  Görlach, P., Ren, Y., & Sommars, J. (2021). Detecting tropical defects of polynomial equations. Journal of Algebraic Combinatorics, 53(1), 31-47. https://doi.org/10.1007/s10801-019-00916-4
• Cooperativity, absolute interaction, and algebraic optimization
  
  Kaihnsa, N., Ren, Y., Safey El Din, M., & Martini, J. W. (2020). Cooperativity, absolute interaction, and algebraic optimization. Journal of Mathematical Biology, 81(4-5). https://doi.org/10.1007/s00285-020-01540-8
• Computing GIT-fans with symmetry and the Mori chamber decomposition of \overline{𝑀}_{0,6}
  
  Böhm, J., Keicher, S., & Ren, Y. (2020). Computing GIT-fans with symmetry and the Mori chamber decomposition of \overline{𝑀}_{0,6}. Mathematics of Computation, 89(326). https://doi.org/10.1090/mcom/3546
• Decoupled molecules with binding polynomials of bidegree (n, 2)
  
  Ren, Y., Martini, J. W., & Torres, J. (2019). Decoupled molecules with binding polynomials of bidegree (n, 2). Journal of Mathematical Biology, 78(4). https://doi.org/10.1007/s00285-018-1295-x
• Tropicalized Quartics and Canonical Embeddings for Tropical Curves of Genus 3
  
  Hahn, M. A., Markwig, H., Ren, Y., & Tyomkin, I. (2019). Tropicalized Quartics and Canonical Embeddings for Tropical Curves of Genus 3. International Mathematics Research Notices, 2021(12). https://doi.org/10.1093/imrn/rnz084
• Tritangents and their space sextics
  
  Celik, T. O., Kulkarni, A., Ren, Y., & Sayyary Namin, M. (2019). Tritangents and their space sextics. Journal of Algebra, 538. https://doi.org/10.1016/j.jalgebra.2019.07.037
• Computing Tropical Varieties Over Fields with Valuation
  
  Markwig, T., & Ren, Y. (2019). Computing Tropical Varieties Over Fields with Valuation. Foundations of Computational Mathematics, 20(4). https://doi.org/10.1007/s10208-019-09430-2
• The gfanlib interface in Singular and its applications
  
  Jensen, A., Ren, Y., & Schönemann, H. (2019). The gfanlib interface in Singular and its applications. Journal of Software for Algebra and Geometry, 9(1). https://doi.org/10.2140/jsag.2019.9.81
• Computing Tropical Points and Tropical Links
  
  Hofmann, T., & Ren, Y. (2018). Computing Tropical Points and Tropical Links. Discrete and Computational Geometry, 60(3). https://doi.org/10.1007/s00454-018-0023-z
• Gröbner fans of x-homogeneous ideals in R〚t〛[x]
  
  Markwig, T., & Ren, Y. (2017). Gröbner fans of x-homogeneous ideals in R〚t〛[x]. Journal of Symbolic Computation, 83. https://doi.org/10.1016/j.jsc.2016.11.016
• Standard bases in mixed power series and polynomial rings over rings
  
  Markwig, T., Ren, Y., & Wienand, O. (2016). Standard bases in mixed power series and polynomial rings over rings. Journal of Symbolic Computation, 79. https://doi.org/10.1016/j.jsc.2016.08.009
• Mora’s holy graal: Algorithms for computing in localizations at prime ideals
  
  Marais, M. S., & Ren, Y. (2015). Mora’s holy graal: Algorithms for computing in localizations at prime ideals. International Journal of Algebra and Computation, 25(07). https://doi.org/10.1142/s0218196715500332
• Strongly symmetric smooth toric varieties
  
  Cuntz, M., Ren, Y., & Trautmann, G. (2012). Strongly symmetric smooth toric varieties. Kyoto Journal of Mathematics, 52(3). https://doi.org/10.1215/21562261-1625208