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Jiayue Qi

 


 

Jiayue QI

 

Contact

 

  • EMail: jqi@risc.uni-linz.ac.at

 
Publications (please click on it)

 

Further publications

  • Herwig Hauser, Jiayue Qi, and Josef Schicho. Phylogenetic trees and the moduli space of n points on the projective line. Preprint: arXiv:2402.04144
  • Jiayue Qi. An identity on multinomial coefficients. ACM Communications in Computer Algebra 56, no. 2 (2022): 68-71. (PDF)
  • Jiayue Qi. A calculus for monomials in Chow group of zero cycles in the moduli space of stable curves. ACM Communications in Computer Algebra 54, no. 3 (2021): 91-94.
  • Jiayue Qi. How to avoid collisions in 3D-realizations for moving graphs.  Mechanism and Machine Theory 162 (2021): 104337.
  • Jiayue Qi. A tree-based algorithm for the integration of monomials in the Chow ring of the moduli space of stable marked curves of genus zero. Journal of Symbolic Computation 122(102253), 2024. 
  • Jiayue Qi, and Josef Schicho. Five equivalent representations of a phylogenetic tree. Maple Transactions 3(3), 2023.
  • Jovana Forcan, and Jiayue Qi. Maker--Breaker domination number for Cartesian products of path graphs $P_2$ and $P_n$. Discrete Mathematics & Theoretical Computer Science, accepted.
  • Chao Liu, Dandan Wu, Jiayue Qi. The Real Estate Market Comprehensive Evaluation based on Sparse Principal Component Analysis --- An Example of Beijing. ECONOMIC RESEARCH GUIDE No.30.2012(Serial No.176), pp. 158-160. 2012. 1673-291X(2012) 30-0158-03. [pdf]
  • PhD thesis: On the Chow ring of (the) moduli space of stable marked curves of genus zero. Date of the PhD exam: 10.10.2023. (Thanks to one of the committee members who pointed out that grammarly there is a "the" missing in the title, during the exam. Unfortunately it got too late to formally change the title, that is why it was in the brackets.)
  • Master's degree thesis: The Group-theoretical Method of Matrix Multiplication. (access via consulting, slides for defence see here)
  • Bachelor's degree thesis: UTP semantics of non-deterministic side-effecting expression. (access via consulting, English abstract see here)  supervisor: Prof. Andrew Butterfield (Trinity College Dublin), Prof. Yi Qi (Beihang University)

 

Short Curriculum Vitae

  • 10.2017 ~ 10. 2023  Research Institute for Symbolic Computation, Johannes Kepler University, Linz    (doctoral student).
  • 06.2018 ~ 12. 2022   PhD Student in the Doctoral Program "Computational Mathematics'' W1214, JKU Linz, Austria.  supervisor: Prof. Josef Schicho
  • 09.2014 ~ 07.2017   Chinese Academy of Sciences   (Master's degree study, graduated in 07.2017)   supervisor: Prof. Xiao-Shan Gao
  • 09.2010 ~ 06.2014   Beihang University (undergraduate, graduated in 06.2014)  supervisor: Prof. Lei Guo
  • 09.2013 ~ 02.2014   Trinity College Dublin  (undergraduate, on exchange) 


Research interests

  • Symbolic methods in kinematics
  • Graph theory
  • Intersection theory of moduli spaces
  • Combinatorics 

 

Activities

Teaching

  • 326.009/114/115/116, overview of mathematics (with Josef Schicho and Sebastian Falkensteiner), 2022S
  • 368.451 UE: Mathematics for AI I, 2022W
  • 326.121 Practical in Symbolic Computation: logic programming, 2022W. 

    Assisted the lecturer correct homework assignments and gave feedback towards students’ submissions.

Scientific Stays

  • November, 2021  University of Vienna, visiting Prof. Herwig Hauser
  • November, 2021 Give an informal talk in University of Vienna on "five representations of a phylogenetic tree" (slides see here)
  • 03.2020 ~ 08.2020  KTH Royal Institute of Technology， visiting Prof. Sandra Di Rocco
  • 2020.05.29. Give a talk in Fika webinar on "a nice compactification of moduli space for n distinct points on projective line" (slides see here)
  • 2020.07.02. Give a talk in Fika webinar on "a calculus for monomials in Chow group A^{n-3}(n)" (slides see here)

Participation at conferences, workshops and seminars

  • 26th~28th, September, 2018   DK Statusseminar, self introduction and a short talk on Master's thesis (slides see here ; more detailed slides on Master's thesis topic see here)
  • 7th, December, 2018  LARD (Linz Algebra Research Day) workshop, talk on "How to avoid Collision of 3D-realization for moving graphs"
  • 3rd~7th, June, 2019   Conference on Geometry: Theory and Applications, Contributed talk on "How to avoid Collision of 3D-realization for moving graphs"  (slides see here)
  • 25th~27th, September, 2019   DK Statusseminar, Progress Report on "A calculus for monomials in Chow group A^{n-3}(n)" (slides see here)

  • 20th~23rd, July, 2020  ISSAC poster session talk “A calculus for monomials in Chow group A^{n-3}(n)” ( slides and pre-recorded video available )

  • 24th, September, 2020  DK Statusseminar, Progress Report on "Five equivalent ways to represent a phylogenetic tree" (slides see here)
  • 21st~23rd, April, 2021  proposed the problem titled "upper bound for maker-breaker domination number" in the problem session of "ONLINE: Graduate student meeting on Applied Algebra and Combinatorics" hosted by the university of Copenhagen. (see the "Open problems" section for more information on this above-mentioned problem)
  • 30th, April, 2021 Combinatorial and Algebraic Statistics (Spring 2021) at KTH, presentation on "Phylogenetics: Trees and Splits, Basic Types of Models" (slides see here)
  • 22nd, June, 2021  DK Seminar, talk on "maker-breaker domination number" (slides see here)
  • 23rd, August, 2021 DK summer seminar, talk on "the absolute integral value of a sun-like tree" (slides see here)
  • 22nd, September, 2021 DK Statusseminar, Progress Report on "moduli space of n-marked points on a projective line" (slides see here)
  • 13th, December, 2021 Linz Algebra Research Day (LARD), talk on "a calculus for monomials in Chow group A^{n-3}(n)" (slides see here)
  • 16th, December, 2021 Research Seminar in Symbolic Computation, talk on "a calculus for monomials in Chow group A^{n-3}(n)" (slides see here)
  • 11th, January, 2022  DK Seminar, talk on "An identity on multinomial coefficients" (slides see here)
  • 31st, January, 2022  RISC Forum, "Report on recent activities" (slides see here)
  • 5th, April, 2022  SLC87 (THE 87th SÉMINAIRE LOTHARINGIEN DE COMBINATOIRE), talk on "maker-breaker domination number" (slides see here)
  • 19th, May, 2022  Spring School on invariants in algebraic geometry, talk on "Moduli space for n points on a projective line" (abstract and slides available on the conference website)
  • 23rd, May, 2022  GAeL XXIX, poster presentation on "A calculus for monomials in Chow group of zero cycles in the moduli space of stable curves" (poster see here)
  • 14th, June, 2022 (it was a full moon day!)  LARD, talk on "An identity on multinomial coefficients"
  • 6th, July, 2022  poster presentation on "An identity on multinomial coefficients" in ISSAC 2022
  • 8th~26th, August, 2022  SCALE, Gebze, Turkey: poster presentation in CCA summer school, on "moduli space for n points on a projective line" (12th, August); talk in CASC on "A calculus for monomials in Chow group of zerocycles in the moduli space of stable curves" (26th, August), slides see here; participation in ACA (Applications of computer algebra) 2022.

  • 12th~16th, September, 2022 participation in DMV Annual Meeting.

  • 19th, October, 2022  talk in Research seminar in Symbolic Computation, titled "what is a sheaf" (based on the material and lecture from Dr. Matteo Paganin).
  • 28th, October, 2022  talk in DK concluding event, titled "vertex-splitting of a loaded tree".
  • 12th, December, 2022  talk in LARD (Linz Algebra Research Day), titled "vertex splitting of a loaded tree".
  • 16th, January, 2023  talk in RISC Forum, titled "five representations of a phylogenetic tree". (see the "Code" section for the corresponding implementation in Python)
  • 28th, February, 2023  online talk in Third Austrian Day of Women in Mathematics, titled "How to avoid collisions in 3D-realizations for moving graphs"; additionally, I chaired another parallel session of the workshop.
  • 26th, April, 2023  poster presentation titled "A calculus for monomials in Chow group of zero cycles in the moduli space of stable curves", in Graduate Student Meeting on Applied Algebra and Combinatorics, KTH Stockholm.
  • 26th, June, 2023  talk titled "maker--breaker domination number for Cartesian product of path graphs P_2 and P_n" in LARD (Linz Algebra Research Day), RISC Hagenberg.
  • 17th~21st, July, 2023  presentation titled "five equivalent representations of a phylogenetic tree" in ACA 2023 (Computer Algebra Applications in the Life Sciences).
  • 22nd, February, 2024  talk titled "Equivalent representations of a phylogenetic tree", on the Fourth Austrian Day of Women in Mathematics, Ricam, Linz. 
  • 7th, March, 2024  presentation titled "How to avoid collisions in 3D-realizations for moving graphs", in Landscapes of Rigidity, Ricam, Linz. 
  • 26th February~17th May 17, 2024  participation in the Special Semester on Rigidity and Flexibility, Ricam, Linz.

Projects

  • Mini project on "from the equations to the Chow form", spring of 2018. (slides see here)
  • "How to avoid collisions in 3D-realizations for moving graphs", Mechanism and Machine Theory 162 (2021): 104337. (preprint see arXiv:1904.13260)
  • (ongoing) "moduli of n points on the projective line", with Herwig Hauser and Josef Schicho. Prof. Hauser held a course based on this project, see here for the recordings of the lecture.
  • “maker-breaker domination number” with Jovana Forcan, arXiv:2004.13126.
  • "a calculus for monomials in Chow group A^{n-3}(n)", arXiv:2102.03575.
  • "A tree-based algorithm on monomials in the Chow group of zero cycles in the moduli space of stable pointed curves of genus zero", arXiv:2101.03789.
  • "Five Equivalent Representations of a Phylogenetic Tree" with Josef Schicho, arXiv:2011.11774.

  •  "An identity on multinomial coefficients" with Dongsheng Wu. See Chapter 7 of arXiv:2101.03789; poster see here.

  • Summer, 2023. Co-supervising Ms. Laura Dilly, together with Dr. Oliver Roche-Newton, on the topic "Maker--Breaker domination number".

Codes

  • "A graphical algorithm for the integration of monomials in the Chow ring of the moduli space of stable marked curves of genus zero", implemented in Python, published here. For the reference, see arXiv:2102.03575.
  • "representations of a phylogenetic tree",  implemented in Python, published here. For the reference, see arXiv:2011.11774.

(additional) Participation in (summer) schools

  • Hilbert-Bernays Summer School on Logic and Computation 2018, Göttingen University, Göttingen, Germany. Give a presentation as a member of the Ordinal Analysis study group, supervised by Wolfram Pohlers.
  • 5th Algorithmic and Enumerative Combinatorics Summer School 2019, Research Institute for Symbolic Computation, Freistadt, Austria
  • Algebra and Tropical Online Meetings (ATOM), summer 2020. Participate in learning seminar in Group D1. Our group give a presentation on "graph complexes" on 10th, July.
  • LMS-Bath Summer School on Combinatorial Algebraic Geometry, online.
  • 8th~12th, August, 2022  EMS Summer School on Combinatorial Commutative Algebra (CCA), poster presentation on "moduli space for n points on a projective line", Gebze, Turkey.
  • 29th August ~ 3rd September, 2022  NMK Undergraduate and Graduate Summer School, participation in the course "Introduction to sheaves" by Dr. Matteo Paganin, Selçuk, Turkey.
  • Summer school on Combinatorial Methods in Algebraic Geometry, poster presentation on “moduli space for n points on a projective line” (did not manage to attend because of no-UK-visa status at the time)

  • 19th~23rd, September, 2022  Sixteenth International Tbilisi Summer School in Logic and Language, Tbilisi, Georgia.

  • 26th~30th, September, 2022  Summer School of the 19th International Colloquium on Theoretical Aspects of Computing, Tbilisi, Georgia.

  • 11th~22th, September, 2023  School in model theory with applications to algebra and geometry, Bilbao, Spain.
  • 26th February~1st, March, 2024  School in Special Semester on Rigidity and Flexibility, Ricam, Linz.
Open problems (contacts are welcome for any related interests)