Xiaoxian Tang

Currently, I am Associate Professor at Beihang University (China), School of Mathematical Science. Before that I was working at Texas A&M (USA) with Professor Anne Shiu. I also had Postdoc experiences at University of Bremen (Germany) and National Institute of Mathematical Science (South Korea). I got my PhD at Peking University (China) in 2014. My research interests include computational algebraic geometry, mathematical biology and algebraic statistics.

Papers:

• Yue Jiao, Xiaoxian Tang*, An Efficient Algorithm for Determining the Equivalence of Zero-one Reaction Networks. arXiv:2503.00008
• Kuo Song, Xiaoxian Tang*, Steady State Classification of Allee Effect System. arXiv:2501.19062
• Yue Jiao, Xiaoxian Tang*, Xiaowei Zeng, Multistability of small zero-one reaction networks. arXiv:2406.11586v2
• Yixuan Liang, Xiaoxian Tang*, Qian Zhang, Multistability of Bi-Reaction Networks. arXiv:2405.05103
• Xiaoxian Tang*, Bican Xia, and Tianqi Zhao, Detecting Nonproperness of Likelihood Equations. https://github.com/zhao-tq/nonproperness/blob/main/nonproperness.pdf
• Xiaoxian Tang*, Timo de Wolff and Rukai Zhao, Computing Elimination Ideals and Discriminants of Likelihood Equations. arXiv:1810.05620
• Xiaoxian Tang*, and Kaizhang Wang, Hopf Bifurcations of Reacation Networks with Zero-One Stoichiometric Coefficients. SIAM Journal on Applied Dynamical Systems. 22(3): 2459-2489, 2023.
• Xiaoxian Tang*, Houjie Wang and Ruriko Yoshida, Tropical Support Vector Machine and its Applications to Phylogenomics. Algebraic Statistics. 14(2): 133–165, 2023.
• Xiaoxian Tang*, Kexin Lin and Zhishuo Zhang, Multistationarity of Reaction Networks with One-Dimensional Stoichiometric Subspaces. CSIAM Trans. Appl. Math. 3: 564–600, 2022.
• Xiaoxian Tang*, and Zhishuo Zhang, Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces. SIAM Journal on Applied Dynamical Systems. 21(2): 1426–1454, 2022.
• Xiaoxian Tang*, and Hao Xu, Multistability of Small Reaction Networks. SIAM Journal on Applied Dynamical Systems. 20(2): 608-635, 2021.
• Weiyi Ding, and Xiaoxian Tang*, Projections of Tropical Femart-Weber Points. Mathematics. 9: 3102, 2021.
• Carsten Coradi, Nida Obatake, Anne Shiu and Xiaoxian Tang*, Dynamics of ERK regulation in the processive limit. Journal of Mathematical Biology. 82(32), 2021. doi: 10.1007/s00285-021-01574-6
• Xiaoxian Tang and Jie Wang*, Bistability of Sequestration Networks. Discrete and Continuous Dynamic Systems, Series B. 26(3): 1337–1357, 2021.
• Nida Obatake, Anne Shiu, Xiaoxian Tang*, Angelica Torres, Oscillations and bistability in a model of ERK regulation. Journal of Mathematical Biology. (2019) 79:4, 1515–1549.
• Emily King and Xiaoxian Tang*, Computing Upper Bounds for Equiangular Lines in Euclidean Spaces. SIAM Journal on Discrete Mathematics. 33(4): 2479–2508, 2019.
• Xiaoxian Tang*, Timo Wolff, Ruikai Zhao, A New Method Computing Elimination Ideals of Likelihood Equations. In the Proceedings of ISSAC’19, Beijing, China, ACM, 2019.
• Alicia Dickenstein, Mercedes Perez Millan, Anne Shiu and Xiaoxian Tang*, Multistationarity in Structured Reaction Networks. Bulletin of Mathematical Biology. 2019, Volume 81, Issue 5: 15271581.
• Tom M. W. Nye*, Xiaoxian Tang, Grady Weyenberg and Ruriko Yoshida, Principal Component Analysis and the Locus of the Fr´echet Mean in the Space of Phylogenetic Trees. Biometrika. 2017, Volume 104, Issue 4, 901–922.
• Bo Lin, Bernd Sturmfels, Xiaoxian Tang, and Ruriko Yoshida*, Convexity in Tree Spaces. SIAM Journal on Discrete Mathematics. 31 (2017), No. 3, 2015–2038.
• Jose Israel Rodriguez, Xiaoxian Tang*, A Probabilistic Algorithm for Computing Data-Discriminants. Journal of Symbolic Computation. 2017, 83: 342–364.
• Jose Israel Rodriguez,Xiaoxian Tang*, Data-Discriminants of Likelihood Equations. In the Proceedings of ISSAC’15, Bath, United Kingdom, ACM, 2015, 307–314.
• Hoon Hong, Xiaoxian Tang*, Bican Xia, Special Algorithm for Stability Analysis of Multistable Biological Regulatory Systems. Journal of Symbolic Computation. 2015, 70: 112–135.
• Zhenghong Chen*, Xiaoxian Tang, Bican Xia, Generic Regular Decompositions for Parametric Polynomial Systems. Journal of Systems Science and Complexity. 2015, 28(5): 1194–1211.
• Zhenghong Chen, Xiaoxian Tang, Bican Xia*, Hierarchical Comprehensive Triangular Decomposition. In Proceedings of Mathematical Software-ICMS 2014, Seoul, Lecture Note in Computer Science 8592, Springer Berlin Heidelberg, 2014, 434–441.
• Xiaoxian Tang*, Zhenghong Chen, Bican Xia, Generic Regular Decompositions for Generic Zero-Dimensional Systems. Science China: Information Science. 2014, 57 (9): 92101(1)–092101(14).

Professional Service:

• Head Assistant at School of Mathematical Sciences, Beihang University, since 2021/05

Co-organizer:

• Women in Math Mentoring Lunches at Texas A&M University (with Laura Matusevich, Aleksandra Sobieska-Snyder, Nida Obatake, Elise Walker and Priyanga Ganesan), 2018 fall
• Seminar on Newton-Okounkov Bodies at Math Department in Texas A&M University (with Anne Shiu, Frank Sottile and Emanuele Ventura), 2018 Spring
• Geometry Seminar at Math Department in Texas A&M University (with Zheng Zhang), 2017 fall–2018 spring
• Maximum Likelihood Degrees in Critical Points Mini-Symposium in SIAM Conference: Applied Algebraic Geometry 2015 (with Jose Rodriguez), NIMS, Korea, August 3–7, 2015
• Seminar on Applied Algebraic Geometry (with Bernd Sturmfels and Youngho Woo), NIMS, Korea, July 15–16, 2015

Reviewer:

• Journal of Algebraic Statistics, Bulletin of Mathematical Biology, Science China: Information Science, Journal of Symbolic Computation (informal inquiry from Editor-in-Chief), Discrete and Continuous Dynamical Systems Series B, Journal Mathematical Biosciences and Engineering

Talks:

• 2024 SMB-KSMB Annual Meeting, Seoul, South Korea, June 30–July 5, 2024
• 2024 BIRS-IMAG Workshop, Granada, Spain, May 19–24, 2024
• 2024 Computational Harmonic Analysis and Applications in Super-resolution Imaging, KunMing, China, April 28–May 4, 2024
• 2023 the 7th China Joint Conference of Aerospace Propulsion, ChengDu, China, December 5–7, 2023
• 2023 PKU Mathematics Forum, BeiJing, China, August 2–5, 2023
• 2023 Frontiers in Computational Mathematics Workshop, KunMing, China, August, 2023
• 2023 SIAM Conference on Applied Algebraic Geometry, Eindhoven, Netherlands, July 10–14, 2023
• 2023 Chinese Mathematical Society 2023 Annual Conference, WuHan, China, February 18–22, 2023
• 2021 CM, Guangxi, Guilin, Invited Speaker, June 4–7, 2021
• 2021 MoRN International Online Seminar, April, 22, 2021
• 2021 Academy of Mathematics and Systems Science, CAS, Beijing, China, Jan. 21, 2021
• 2019 Summer School on Symbolic Computation, Chinese Academy of Sciences, Chong Qing, China, July 23–28, 2019
• 2019 ISSAC, Beihang University, Beijing, China, July 15–20, 2019
• 2019 ISSE, Guangxi University for Nationalities, Nanning, China, July 12–13, 2019
• 2019 SIAM Conference on Applied Algebraic Geometry, Bern, Switzerland, July 9–13, 2019
• Symbolic Computation Seminar, Peking University, Beijing, China, May 14, 2019
• 2019 AWM Symposium, Rice University, Houston, TX, April 6, 2019
• Computing Elimination Ideals and Discriminants of Likelihood Equations. October 27, 2018, Discrete Mini-conference on Discrete Mathematics, Combinatorics, and Algorithms, Clemson University, USA
• Investigating Multistationarity in Structured Reaction Networks. August 6–9, 2018, SIAM Conference on Life Sciences, Minnesota, USA
• Investigating Multistationarity in Structured Reaction Networks. July 24–27, 2018, International Congress on Mathematical Software, Notre Dame, USA
• Investigating Multistationarity in Structured Reaction Networks. July 20, 2018, Workshop on Symbolic-Numeric Methods for Differential Equations and Applications, New York University, USA
• Computing Discriminants of Likelihood Equations. December 02, 2017, Texas Women in Mathematics Symposium, Sam Houston State University, USA
• Investigating Multistationarity in Structured Reaction Networks. October 27, 2017, Geometry Seminar, Texas A&M University, USA
• Computing Discriminants of Likelihood Equations. October 19, 2017, Postdoc Lunch Time Lecture Series, Texas A&M University, USA
• Investigating Multistationarity in Structured Reaction Networks. September 9–10, 2017, AMS Special Session on Applicable and Computational Algebraic Geometry, University of North Texas, USA
• Investigating Multistationarity in Structured Reaction Networks. July 31–August 4, 2017, SIAM Conference on Applied Algebraic Geometry, Georgia Institute of Technology, USA
• Computing Bounds for Equiangular Lines in Euclidean Spaces. February 10, 2017, Algebra and Combinatorics Seminar, Texas A&M University, USA
• Principal Components Analysis in Tree Spaces. July 8, 2016, Visiting Professor Andreas Weber, University of Bonn, Germany
• Computing Bounds for Equiangular Lines in Euclidean Spaces. May 20–21, 2016, Goal Workshop 2016, University Pierre and Marie CURIE, France
• Principal Components Analysis in Tree Spaces. April 21–22, 2016, ASGARD Math 2016, University of Oslo, Norway
• A Probabilistic Algorithm for Computing Data-Discriminants of Likelihood Equations. December 17, 2015, Institute for Algebra, Geometry, Topology and their Applications (ALTA), Oberseminar, Univeristy of Bremen, Germany
• Convexity in Tree Space December 10, 2015, Seminar for Nonlinear Algebra, TU Berlin, Germany
• Preliminary for Convexity in Tree Spaces December 8, 2015, Guest Lecture for Graduate Students Course: Algebraic Statistics, TU Berlin, Germany
• Data-Discriminants of Likelihood Equations. August 3–7, 2015, SIAM conference: Applied Algebraic Geometry, Daejeon, Republic of Korea
• Special Algorithm for Stability Analysis of Multistable Biological Regulatory Systems. August 3–7, 2015, SIAM conference: Applied Algebraic Geometry, Daejeon, Republic of Korea
• Real Root Classification and its Applications. July 30, 2015, One-Day Workshop before SIAM, Daegu-Gyeongbuk Institute of Science & Technology, Daegu, Republic of Korea
• Constructing Multistationary Biochemical Reaction Network by Real Algebraic Geometry. July 15–16, 2015, Two-Day Seminar on Applied Algebraic Geometry, NIMS, Daejeon, Republic of Korea
• Data-Discriminants of Likelihood Equations. July 6–9, 2015, ISSAC’15, University of Bath, Bath, United Kingdom
• Hierarchical Comprehensive Triangular Decomposition. August 5–9, 2014, Mathematical Software-ICMS 2014, Hanyang University, Seoul, Republic of Korea
• Applying Computational Real Algebraic Geometry to the Stability Analysis of Multistable Biological Regulatory Systems. July 14–17, 2014, Algebraic Statistics Workshop, NIMS, Daejeon, Republic of Korea