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 Algebra56, 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 Computation122(102253),2024.
Jiayue Qi, and Josef Schicho. Five equivalent representations of a phylogenetic tree. Maple Transactions3(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,25(Graph Theory).
Chao Liu, Dandan Wu, Jiayue Qi. The Real Estate Market Comprehensive Evaluation based on Sparse Principal Component Analysis --- An Example of Beijing. ECONOMIC RESEARCH GUIDENo.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)
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)
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.
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, 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).
28-31th October, 2024 Games and Graphs workshop, Lyon 1 University, France, gave a talk on “What creatures have MBD number equal to the domination number”
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.
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.
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.