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Xiaodong Jia
Mathematical Sciences
Hunan University
Hunan
Language: English, Chinese
Contact
Topology Order Theory Measure Theory Category Theory Computational Theory Programming Language Design Probability Theory Lambda Calculus Semantics Computer Science
Areas of Focus
  • Mathematics: Domain Theory, Non-Hausdorff Topology
  • Theoretical Computer Science: Lambda Calculus, Denotational Semantics
Work Experience
  • 2019-11 to present - Hunan University
  • 2019-11 to 2021-06 - Tulane University, USA, Postdoctoral Researcher
  • 2018-05 to 2019-04 - Paris-Saclay University, France, Postdoctoral Researcher
Academic Background & Achievements
  • PhD in Theoretical Computer Science from University of Birmingham, UK, July 2018
  • Bachelor in Mathematics and Applied Mathematics from Hunan University, June 2010
Publications
  • A cone-theoretic barycenter existence theorem, Jean Goubault-Larrecq and Xiaodong Jia, 2023
  • A domain-theoretic approach to statistical programming languages, Jean Goubault-Larrecq, Xiaodong Jia, and Clément Théron, 2023
  • Continuous R-valuations, Jean Goubault-Larrecq and Xiaodong Jia, 2022
  • Semantics for variational quantum programming, Xiaodong Jia, Andre Kornell, Bert Lindenhovius, Michael Mislove, and Vladimir Zamdzhiev, 2022
  • Completing simple valuations in K-categories, Xiaodong Jia and Michael Mislove, 2022
  • Core-compactness, consonance and the Smyth powerspaces, Zhenchao Lyu, Yu Chen, and Xiaodong Jia, 2022
  • On the equivalence of Rudin’s Lemma and the Boolean Prime Ideal Theorem, Mengqiao Huang, Xiaodong Jia, and Qingguo Li, 2022
  • Commutative monads for probabilistic programming languages, Xiaodong Jia, Bert Lindenhovius, Michael Mislove, and Vladimir Zamdzhiev, 2021
  • Separating minimal valuations, point-continous valuations, and continuous valuations, Jean Goubault-Larrecq and Xiaodong Jia, 2021
  • The central valuations monad, Xiaodong Jia, Michael Mislove, and Vladimir Zamdzhiev, 2021
  • The order-sobrification monad, Xiaodong Jia, 2020
  • A dichotomy result for locally compact sober dcpos, Xiaodong Jia, Achim Jung, and Qingguo Li, 2019
  • Algebras of the extended probabilistic powerdomain monad, Jean Goubault-Larrecq and Xiaodong Jia, 2019
  • Domain-complete and LCS-complete spaces, Matthew de Brecht, Jean Goubault-Larrecq, Xiaodong Jia, and Zhenchao Lyu, 2019
  • θ-continuity and Dθ-completion of posets, Zhongxi Zhang, Qingguo Li, and Xiaodong Jia, 2018
  • Cartesian closed extensions of subcategories of CONT, Zhongxi Zhang, Qingguo Li, and Xiaodong Jia, 2017
  • A note on coherence of dcpos, Xiaodong Jia, Achim Jung, Hui Kou, Qingguo Li, and Haoran Zhao, 2016
  • All cartesian closed categories of quasicontinuous domains consist of domains, Xiaodong Jia, Achim Jung, Hui Kou, Qingguo Li, and Haoran Zhao, 2015
  • On the order-theoretic properties of lower concept formula systems, Lankun Guo, Qingguo Li, and Xiaodong Jia, 2014
Awards
  • First Prize in New Faculty Micro-Lecture Competition at Hunan University, 2021
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